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62748

Federal Register / Vol. 69, No. 207 / Wednesday, October 27, 2004 / Notices

DEPARTMENT OF THE TREASURY
Office of the Comptroller of the
Currency
[Docket No. 04–22]

FEDERAL RESERVE SYSTEM
[Docket No. OP–1215]

FEDERAL DEPOSIT INSURANCE
CORPORATION
DEPARTMENT OF THE TREASURY
Office of Thrift Supervision
[No. 2004–48]

Internal Ratings-Based Systems for
Retail Credit Risk for Regulatory
Capital
Office of the Comptroller of
the Currency, Treasury (OCC); Board of
Governors of the Federal Reserve
System (Board); Federal Deposit
Insurance Corporation (FDIC); and
Office of Thrift Supervision, Treasury
(OTS).
ACTION: Proposed supervisory guidance
with request for comment.
AGENCIES:

SUMMARY: The OCC, Board, FDIC, and
OTS (Agencies) are publishing for
industry comment a document that sets
forth proposed supervisory guidance for
banks, savings associations, and bank
holding companies (banking
organizations) that would use the
internal-ratings-based (IRB) approach to
determine their regulatory capital
requirements for retail credit exposures.
The Agencies described the IRB
approach in general terms in an advance
notice of proposed rulemaking (ANPR)
in August 2003 and expect to issue a
notice of proposed rulemaking (NPR) in
2005 that would comprehensively
implement the IRB approach and other
elements of the International
Convergence of Capital Measurement
and Capital Standards: A Revised
Framework, which was adopted by the
Basel Committee on Banking
Supervision in June 2004 (Basel II
Framework). Under the IRB approach,
banking organizations would use
internal estimates of certain risk
parameters as key inputs in the
determination of their regulatory capital
requirements. The Agencies intend for
this guidance to provide banking
organizations, in anticipation of the
NPR, with a description of the current
views of the Agencies regarding (and an
opportunity for interested persons to
comment on) the components and
characteristics of a qualifying IRB credit
risk measurement, data maintenance,

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segmentation, and quantification
framework for retail exposures.
DATES: Comments must be submitted on
or before January 25, 2005.
ADDRESSES: Comments should be
directed to:
OCC: Office of the Comptroller of the
Currency, 250 E Street SW., Mail stop
1–5, Washington, DC 20219, Attention:
Docket No. [04–22], Fax number (202)
874–4448 or Internet address:
regs.comments@occ.treas.gov.
Comments may be inspected and
photocopied at the OCC’s Public
Information Room, 250 E Street, SW.,
Washington, DC. You may submit
comments, identified by docket number
[04–22], by any of the following
methods:
• Federal eRulemaking Portal: http://
www.regulations.gov. Follow the
instructions for submitting comments.
• OCC Web Site: http://
www.occ.treas.gov. Click on ‘‘Contact
the OCC,’’ scroll down and click on
‘‘Comments on Proposed Regulations.’’
• E-mail address:
regs.comments@occ.treas.gov. Please
include docket number [04–22] in the
subject line of the message.
• Fax: (202) 874–4448.
• Mail: Office of the Comptroller of
the Currency, 250 E Street, SW., Public
Reference Room, Mail Stop 1–5,
Washington, DC 20219.
• Hand Delivery/Courier: 250 E
Street, SW., Attn: Public Reference
Room, Mail Stop 1–5, Washington, DC
20219
Board: You may submit comments,
identified by Docket No. OP–1215, by
any of the following methods:
• Agency Web Site: http://
www.federalreserve.gov. Follow the
instructions for submitting comments
on the http://www.federalreserve.gov/
generalinfo/foia/ProposedRegs.cfm.
• Federal eRulemaking Portal: http://
www.regulations.gov. Follow the
instructions for submitting comments.
• E-mail:
regs.comments@federalreserve.gov.
Include docket number in the subject
line of the message.
• Fax: (202) 452–3819 or (202) 452–
3102.
• Mail: Jennifer J. Johnson, Secretary,
Board of Governors of the Federal
Reserve System, 20th Street and
Constitution Avenue, NW., Washington,
DC 20551.
All public comments are available
from the Board’s Web site at http://
www.federalreserve.gov/generalinfo/
foia/ProposedRegs.cfm as submitted,
except as necessary for technical
reasons. Accordingly, your comments
will not be edited to remove any

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identifying or contact information.
Public comments may also be viewed
electronically or in paper form in Room
MP–500 of the Board’s Martin Building
(20th and C Streets, NW.) between 9
a.m. and 5 p.m. on weekdays.
FDIC: You may submit comments by
any of the following methods:
• Federal eRulemaking Portal: http://
www.regulations.gov. Follow the
instructions for submitting comments.
• Agency Web site: http://
www.FDIC.gov/regulations/laws/
federal/propose.html.
• Mail: Robert E. Feldman, Executive
Secretary, Attention: Comments/Legal
ESS, Federal Deposit Insurance
Corporation, 550 17th Street, NW.,
Washington, DC 20429.
• Hand Delivered/Courier: The guard
station at the rear of the 550 17th Street
Building (located on F Street), on
business days between 7 a.m. and 5 p.m.
• E-mail: comments@FDIC.gov.
• Public Inspection: Comments may
be inspected and photocopied in the
FDIC Public Information Center, Room
100, 801 17th Street, NW., Washington,
DC, between 9 a.m. and 4:30 p.m. on
business days.
Instructions: Submissions received
must include the agency name and title
for this notice. Comments received will
be posted without change to http://
www.FDIC.gov/regulations/laws/
federal/propose.html, including any
personal information provided.
OTS: You may submit comments,
identified by No. 2004–48, by any of the
following methods:
• Federal eRulemaking Portal: http://
www.regulations.gov. Follow the
instructions for submitting comments.
• E-mail:
regs.comments@ots.treas.gov. Please
include No. 2004–48 in the subject line
of the message, and include your name
and telephone number in the message.
• Fax: (202) 906–6518.
• Mail: Regulation Comments, Chief
Counsel’s Office, Office of Thrift
Supervision, 1700 G Street, NW.,
Washington, DC 20552, Attention: No.
2004–48.
• Hand Delivery/Courier: Guard’s
Desk, East Lobby Entrance, 1700 G
Street, NW., from 9 a.m. to 4 p.m. on
business days, Attention: Regulation
Comments, Chief Counsel’s Office,
Attention: No. 2004–48.
Instructions: All submissions received
must include the agency name and
docket number or Regulatory
Information Number (RIN) for this
rulemaking. All comments received will
be posted without change to http://
www.ots.treas.gov/
pagehtml.cfm?catNumber=67&an=1,

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Federal Register / Vol. 69, No. 207 / Wednesday, October 27, 2004 / Notices
including any personal information
provided.
Docket: For access to the docket to
read background documents or
comments received, go to http://
www.ots.treas.gov/pagehtml.
cfm?catNumber=67&an=1. In addition,
you may inspect comments at the Public
Reading Room, 1700 G Street, NW., by
appointment. To make an appointment
for access, call (202) 906–5922, send an
e-mail to public.info@ots.treas.gov, or
send a facsimile transmission to (202)
906–7755. (Prior notice identifying the
materials you will be requesting will
assist us in serving you.) We schedule
appointments on business days between
10 a.m. and 4 p.m. In most cases,
appointments will be available the next
business day following the date we
receive a request.
FOR FURTHER INFORMATION CONTACT:
OCC: Mitchell Stengel, Senior Expert,
Basel Credit Risk Modeling, Risk
Analysis, (202) 874–5250; Daniel L.
Pearson, National Bank Examiner,
Credit Risk, (202) 874–5170; and Ron
Shimabukuro, Special Counsel,
Legislative and Regulatory Activities
Division, (202) 874–5190, Office of the
Comptroller of the Currency, 250 E
Street, SW., Washington, DC 20219.
Board: Sabeth Siddique, Manager,
(202) 452–3861, Division of Banking
Supervision and Regulation; Mark E.
Van Der Weide, Senior Counsel, (202)
452–2263, Legal Division, Board of
Governors of the Federal Reserve
System, 20th Street and Constitution
Avenue, NW., Washington, DC 20551;
and William W. Lang, Vice President,
Supervision, Regulation and Credit,
Federal Reserve Bank of Philadelphia,
(215) 574–7225. For users of
Telecommunications Device for the Deaf
(‘‘TDD’’) only, contact (202) 263–4869.
FDIC: Peter Hirsch, Basel II Project
Manager, (202) 898–6751, Jon Eagar,
Senior Examiner, (801) 263–3090, ext.
4726, Division of Supervision and
Consumer Protection; Michael B.
Phillips, Counsel, (202) 898–3581, Legal
Division, Federal Deposit Insurance
Corporation, 550 17th Street, NW.,
Washington, DC 20429.
OTS: Fred Phillips-Patrick, Manager,
Credit Risk, (202) 906–7295,
Supervision Policy; Karen Osterloh,
Special Counsel, (202) 906–6639, Chief
Counsel’s Office, Office of Thrift
Supervision, 1700 G Street, NW.,
Washington, DC 20552.
SUPPLEMENTARY INFORMATION: The
Agencies issued an ANPR on August 4,
2003, which sought comment on a
substantially revised capital adequacy
framework for large and internationally
active U.S. banking organizations. See

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68 FR 45900. The content of the ANPR
was based in large part on the April
2003 version of the Basel II Framework.1
Specifically, the ANPR described
significant elements of the IRB approach
for computing credit risk capital
requirements and the Advanced
Measurement Approaches for
computing operational risk capital
requirements (AMA approach). Under
the ANPR, certain banking organizations
would be required to adopt the IRB and
AMA approaches (core banks) and other
banking organizations that met certain
criteria would have the ability to adopt
the IRB and AMA approaches on a
voluntary basis (opt-in banks). Under
the IRB and AMA approaches outlined
in the ANPR, core banks and opt-in
banks would use internal estimates of
certain risk components as key inputs in
the determination of their regulatory
capital requirements.
Contemporaneously with the ANPR,
the Agencies also issued for public
comment two proposed supervisory
guidance documents relating to the
revised capital framework. See 68 FR
45949. The first document provided
proposed supervisory guidance on IRB
systems for corporate credit risk. This
document described then-existing
supervisory views on the credit risk
measurement and management systems
of banking organizations that intended
to adopt the IRB approach for
computing capital requirements for
corporate credit risk exposures. The
second document provided proposed
supervisory guidance on AMA
approaches for operational risk.
In June 2004, the Basel Committee on
Banking Supervision published a
further revised version of the Basel II
Framework.2 In light of the timetable for
implementation of the Basel II
Framework on an international basis
and the complexity and long-term
operational planning and program
implementation needs of the core banks
and opt-in banks, the Agencies are
publishing for comment the following
proposed IRB retail guidance document.
1 See The New Basel Capital Accord (April 2003)
(available at http://www.bis.org). The Basel II
Framework sets out both a Foundation and
Advanced IRB approach. However, for purposes of
domestic U.S. implementation, the ANPR only
proposed adoption of the Advanced IRB approach.
2 See International Convergence of Capital
Measurement and Capital Standards (June 2004)
(available at http://www.bis.org). The Basel
Committee on Banking Supervision is a committee
of banking supervisory authorities that was
established by the central bank governors of the
Group of Ten countries in 1975. It consists of senior
representatives of bank supervisory authorities and
central banks from Belgium, Canada, France,
Germany, Italy, Japan, Luxembourg, the
Netherlands, Spain, Sweden, Switzerland, the
United Kingdom, and the United States.

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62749

The issuance of this document, together
with the proposed IRB supervisory
guidance on corporate credit risk and
the proposed AMA supervisory
guidance on operational risk, is part of
an effort by the Agencies to gather as
much industry feedback from interested
parties as possible before the issuance of
the NPR, which the Agencies expect
will propose a revised capital adequacy
standard based on the Basel II
Framework for large and internationally
active U.S. banking organizations.
Issuing this proposed guidance before
the formal issuance of the NPR will
facilitate both (i) public input on the
qualifying standards and infrastructure
requirements for IRB and AMA and (ii)
understanding of current Agency
thinking for those banking organizations
that expect to be core banks or opt-in
banks and have sought additional
guidance so that they may voluntarily
begin operational planning to qualify for
use of the IRB and AMA approaches at
the earliest possible time.
Banking organizations should note,
however, that this retail IRB guidance,
like the proposed corporate IRB
guidance and the proposed AMA
operational risk guidance, is only a
proposal. Although these three
proposed guidance documents reflect
the views of the Agencies at the time of
issuance concerning the elements of an
appropriate IRB and AMA risk
management infrastructure for core and
opt-in banks, the guidance documents
are subject to substantial change based
on comments submitted by banking
organizations and other interested
parties, further analysis by the Agencies,
results of a Quantitative Impact Study,
evolution of the Basel II Framework,
and technological advances in the risk
measurement and management
disciplines.
The proposed retail guidance, like the
proposed corporate IRB guidance and
the proposed operational risk AMA
guidance, includes many supervisory
standards that ultimately may become
part of the NPR rule text as proposed
minimum qualifying requirements for
use of the IRB and AMA approaches.
The Agencies included these standards
in the proposed guidance documents in
order to provide banking organizations
with coherent and comprehensive
guidance as to the current views of the
Agencies on the elements of an IRB and
AMA risk management infrastructure.
The proposed guidance documents do
not reflect any final decisions by the
Agencies about the content of the final
rule, and no such decisions will be
made by the Agencies prior to a full
evaluation of the comments on the
future NPR.

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Request for Comments
The Agencies request comment on
whether any of the standards set forth
in this proposed retail IRB guidance
should be revised, deleted, or
supplemented, and which of these
standards should be (1) mandatory
minimum qualifying criteria for use of
the retail IRB approaches, or (2) criteria
for supervisory guidance purposes only.
We seek comment on all other aspects
of the following proposed retail
guidance document as well, including
(1) the important supervisory
expectations (referred to as supervisory
standards in the guidance document)
that are designated in the document by
the prefix ‘‘RS;’’ (2) the methodology for
the estimation of the three IRB segmentlevel credit risk parameters; and (3) the
framework for the evaluation and
oversight of retail exposure credit risk,
which includes provisions covering
segmentation, quantification, data
maintenance, and control and oversight
mechanisms.
In particular, the Agencies are
interested in industry comment on the
following issues:
1. Qualifying Revolving Exposures
(QRE) Volatility Requirement. This
proposed retail IRB guidance does not
set forth criteria for defining what will
constitute a ‘‘low’’ ratio of loss rate
volatility to average loss rate for the
purpose of qualification for QRE capital
treatment. (See paragraphs 160 to 164 of
the proposed guidance.) In developing
the NPR, the Agencies will consider
various options for addressing this
concern and will provide additional
information regarding QRE capital
treatment. The Agencies seek comment
on ways to implement the low volatility
requirement for QRE sub-portfolios.
2. Definition of Default. This
proposed retail IRB guidance (paragraph
98) stipulates that a retail exposure will
be considered in default if any one of
three ‘‘loss recognition events’’ occurs.
One of these three events is that ‘‘The
exposure is put on non-accrual status.’’
The Agencies acknowledge that there
is not a requirement for placing
delinquent retail exposures on
nonaccrual status for either Call Report/
Thrift Financial Report purposes or for
GAAP. Nonetheless, many banks choose
to put certain retail loans on nonaccrual
and report these as such on their Call
Reports/Thrift Financial Reports and
financial statements.
The Agencies invite comment on this
particular element of the proposed
definition of default, including detailed
explanations of why banking
organizations favor or oppose the

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inclusion of nonaccrual status in the
definition of default.
3. Loss Given Default (LGD)
Estimation. When the loss severity of a
retail portfolio exhibits significant
cyclical variability, this proposed retail
IRB guidance states that a bank must
estimate an LGD that reflects periods of
high credit losses for the particular
portfolio (e.g., mortgages). The period of
high credit losses may be different for
each retail portfolio. (See standard RS–
22 and paragraph 127.) The Agencies
invite comment on various issues
related to estimating LGD for such
periods:
• How should ‘‘periods of high credit
losses’’ (also referred to as periods when
credit losses are ‘‘substantially higher
than average’’) for a portfolio be
defined?
• What methods could be used to
estimate an LGD appropriate to such
periods?
• Should the LGD adjustment for high
credit losses reflect the likely LGD when
credit losses are high at the product or
portfolio level for the particular bank
(legal entity), or for a nationally
diversified portfolio?
• How will a bank ensure that the
LGD will reflect any unique or
predictive risk characteristics of
individual segments or small groups of
segments if the period of high credit
losses is defined at an aggregated level?
• If segments are defined across
multiple legal entities, how will the
banking organization ensure that the
capital levels accurately reflect the
unique risk of assets held by each legal
entity?
The Agencies, through the Basel
Committee on Banking Supervision, are
undertaking additional work to clarify
LGD estimation.
4. Criteria for Assigning Exposures to
Retail Categories. Because each risk
category has its own risk-weight
function, assignment to different risk
categories results in different capital
requirements. A variety of loan types,
especially real estate loans, could be
placed in more than one retail or
corporate IRB risk category. The
Agencies request comment on whether
the criteria for assigning exposures to
retail categories are appropriate for the
credit risk of the exposures. For
example, is four units the appropriate
limit on the number of units in a
residential property to meet the
definition of a residential mortgage
loan? In addition, are small business
loans appropriately categorized based
on whether they are primarily or
partially secured by residential real
estate?

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Paperwork Reduction Act
Each of the Agencies is subject to the
Paperwork Reduction Act of 1995
(PRA).3 The rulemaking initiated by the
ANPR likely will impose requirements
for core and opt-in banks, either in the
regulations themselves or as part of
interagency implementation guidance,
that are covered by the PRA. This
proposed retail IRB guidance describes
the current views of the Agencies as to
the components and characteristics of a
qualifying IRB credit risk measurement,
data maintenance, segmentation, and
quantification framework for retail
exposures. It is important that banking
organizations recognize in reviewing the
proposed guidance that it is subject to
substantial change based on the
comments received during the
rulemaking process, further analysis by
the Agencies, evolution of the Basel II
Framework, and other developments.
Commenters on this proposed retail
IRB guidance are asked to provide any
estimates that they can reasonably
determine about the time, effort, and
financial resources that will be required
to develop and maintain the plans,
reports, and records discussed in the
proposed guidance. Commenters also
are requested to specify whether the
described capital and methodological
standards would necessitate the
acquisition or development or new
compliance/information systems or the
significant modification of existing
compliance/information systems.
The Agencies also invite comment on:
(1) Whether the collections of
information contained in the proposed
guidance are necessary for the proper
performance of each agency’s functions,
including whether the information has
practical utility;
(2) What would be an accurate
estimate of the burden of the proposed
information collections;
(3) Ways to enhance the quality,
utility, and clarity of the information to
be collected;
(4) Ways to minimize the burden of
the information collections on
respondents, including the use of
automated collection techniques or
other forms of information technology;
and
(5) Estimates of capital or start-up
costs and costs of operation,
maintenance, and purchases of services
to provide information.
Respondents/recordkeepers are not
required to respond to any collection of
information unless it displays a
currently valid Office of Management
and Budget (OMB) control number.
3 44

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Federal Register / Vol. 69, No. 207 / Wednesday, October 27, 2004 / Notices
The Agencies have issued the
proposed retail IRB guidance to seek
public input on the content of the
guidance and information collection
methods used in the guidance. The
Agencies have made no determination
regarding the information to be
collected, if any. When the Agencies
have developed a firm proposal, they
will follow the standard process to seek
public comment on the information
collection and to obtain OMB approval.
The Agencies will use any comments
received to evaluate the burden
attendant to the approach set forth in
the proposed retail IRB guidance.
Comments on the collections of
information should be sent to:
OCC: John Ference or Camille Dixon,
OCC Clearance Officer, Office of the
Comptroller of the Currency, 250 E
Street, SW., Mail Stop 8–4, Attention:
1557–IRBG, Washington, DC 20219.
Comments also may be sent by
electronic mail to
camille.dixon@occ.treas.gov.
Board: Cindy Ayouch, Federal
Reserve Board Clearance Officer, (202)
452–3829, Division of Research and
Statistics, Board of Governors of the
Federal Reserve System, 20th and C
Streets, NW., Mail Stop 41, Washington,
DC 20551. Comments also may be sent
by electronic mail to
regs.comments@federalreserve.gov.
FDIC: Leneta Gregorie, Counsel, (202)
898–3907, Legal Division, Federal
Deposit Insurance Corporation, 550 17th
Street, NW., Washington, DC 20429.
Comments also may be sent by
electronic mail to comments@fdic.gov.
OTS: Marilyn K. Burton, OTS
Clearance Officer, (202) 906–6467,
Office of Thrift Supervision, 1700 G
Street, NW., Washington, DC 20552.
Comments also may be sent by
electronic mail to
infocollection.comments@ots.treas.gov.
The text of the proposed IRB retail
guidance document follows:
Proposed Supervisory Guidance on
Internal Ratings-Based Systems for
Retail Credit Risk
Table of Contents
I. Introduction
A. Background
B. Scope of Retail Guidance
C. Definition of Retail Exposures
D. Quantifying Retail Exposure Credit Risk
E. Supervisory Expectations
II. Retail Risk Segmentation Systems for IRB
A. Overview
B. Criteria for Retail Segmentation
C. Retail Risk Segmentation Architecture
1. Migration of Exposures Between Retail
Segments
2. Frequency of Changes to the
Segmentation System

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3. Segmentation and the Recognition of the
Risk Mitigation Benefits of Guarantees
and Insurance
D. Validation Process
1. Segmentation Systems’ Developmental
Evidence
2. Ongoing Monitoring
3. Back-testing of the Segmentation System
III. Quantification of IRB Systems
A. Introduction
1. The Four Stages of the Quantification
Process
2. Integration of the Four Stages
3. General Standards for Sound IRB
Quantification
B. Quantification of the IRB Risk Parameters
1. Quantification of Probability of Default
(PD)
a. Data
b. Estimation
1. Seasoning
c. Mapping
d. Application
2. Quantification of Loss Given Default
(LGD)
a. Data
b. Estimation
c. Mapping
d. Application
3. Quantification of Exposure at Default
(EAD)
a. Introduction
b. Data
c. Estimation d.Mapping e.Application
C. Quantification: Special Cases and
Applications
1. Small Business Exposures
2. Retail Leases
3. Purchased Retail Receivables
4. Loan Sales
5. Securitization and Undrawn Balances
6. Multiple Legal Entities
7. QRE Treatment Qualification
8. Stress Testing
D. Validation
1. Introduction
2. Developmental Evidence
3. Ongoing Process Verification and
Benchmarking
4. Back-Testing
IV. Data Maintenance
A. Overview
B. General Data Requirements
1. Standards for Refreshed Data
2. Loan Sales
3. Validation and Refinement
4. Data Standards for Outsourced Activities
5. Calculating Capital Ratios and Reporting
to the Public
C. Managing Data Quality and Integrity
1. Documentation and Definitions
2. Data Access and Scalability
3. Data Gaps
V. Control and Oversight Mechanisms
A. Overview
B. Controls Over Lending Activities
C. Accountability
D. Independent Review of Retail IRB
Processes
E. Transparency
F. Use of Risk Estimates
G. Internal and External Audit
H. Corporate Oversight

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62751

Appendix A: Process Analysis
Examples
Appendix B: Technical Examples
List of Acronyms
I. Introduction
A. Background
1. This document provides
supervisory guidance for banks, thrifts,
and bank holding companies that adopt
the advanced internal-ratings-based
(‘‘IRB’’) approach for determining
regulatory risk-based capital
requirements for retail exposures
(‘‘banks’’).4 As described in the
preamble to the Federal Register
publication of this guidance, this
document reflects the current views of
the Federal banking agencies
(‘‘agencies’’) and is subject to change
based on comments submitted by the
banking industry and other interested
parties, further analysis by the agencies,
results of the fourth quantitative impact
study, and technological advances in
the risk measurement and management
disciplines. This retail guidance
includes some supervisory standards
that ultimately may become part of the
minimum IRB qualifying requirements
that would be proposed as part of the
notice of proposed rulemaking (‘‘NPR’’)
that the agencies intend to issue for
public comment in 2005 to
comprehensively implement the IRB
approach. It was necessary to include
these standards in this proposed
guidance document in order to provide
banks with coherent and comprehensive
guidance as to the current views of the
agencies on the elements of a retail IRB
risk management infrastructure.
2. A central objective of the IRB
framework is to enhance the risk
sensitivity of the minimum regulatory
capital requirements. Under the retail
IRB approach, banks assign risk
parameters to pools of exposures with
similar risk characteristics, that is, to
risk segments, rather than to individual
exposures (as in the corporate portfolio).
These parameters are then used for the
determination of minimum regulatory
capital. Supervisors will rely on banks,
subject to minimum standards, to use
internal risk management systems to
differentiate segments of retail
exposures by the credit risk they pose
and to quantify the risk parameters for
each segment. Adequate data to support
accurate and reliable credit risk
measurements, as well as rigorous
management oversight and controls,
including continual monitoring and
4 Throughout this guidance, the term ‘‘banks’’
generally refers to banks, thrifts, and bank holding
companies adopting the IRB approach.

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Federal Register / Vol. 69, No. 207 / Wednesday, October 27, 2004 / Notices

validation, are crucial to the prudent
application of the IRB capital
framework.
3. This guidance, which is written for
supervisors and banks, describes the
components and characteristics of an
IRB credit risk measurement and
management framework for retail
exposures. The guidance explains how
to measure the risk of retail exposures,
maintain data on them, segment them,
and quantify each segment’s risk. The
guidance should help foster
accountability, transparency, and
oversight and control mechanisms in
the IRB capital framework.
4. With these goals in mind, this
guidance sets forth retail supervisory
standards for an IRB credit risk system.
These standards are highlighted in bold
and designated by the prefix ‘‘RS.’’ To
enable banks to implement the
framework flexibly whenever possible,
these regulatory standards typically take
the form of general principles rather
than specific requirements. However,
when the need for uniformity outweighs
the benefits of flexibility (often for
reasons of prudence), the guidance
provides more detailed and specific
expectations. Banks would be expected
to have credit risk management
practices that are consistent with the
substance and spirit of the standards in
this guidance. Furthermore, nothing in
this guidance should be interpreted as
weakening, modifying, or superseding
the safety and soundness principles
articulated in the existing statutes,
regulations, or guidance of the agencies.
5. In general, this IRB retail guidance
neither dictates the precise manner by
which banks should seek to meet the
supervisory standards nor provides
comprehensive technical guidance on
how to meet the standards. This
document assumes that readers are
familiar with the proposed IRB
approach for the calculation of
minimum regulatory capital
requirements in the International
Convergence of Capital Measurement
and Capital Standards, published by the
Basel Committee on Banking
Supervision in June 2004 (‘‘Basel II’’).
6. Under the retail IRB approach,
banks first segment retail exposures and
then quantify the risk of each segment
by estimating each segment’s probability
of default (PD), loss given default (LGD),
and exposure at default (EAD).
Consistent with many retail lenders’
internal risk management practices, a
bank may also choose to indirectly
obtain an estimate of PD by first
obtaining estimates of average dollar
loss rates and loss severity. These
quantitative estimates of risk must be

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consistent with those used for internal
risk management purposes.
B. Scope of Retail Guidance
7. For the purposes of this guidance,
the terms ‘‘retail exposure’’ and ‘‘retail
loan’’ are intended to include retail
leases as well as loans.
8. When the terms ‘‘models’’ and
‘‘models-based’’ are used in this
guidance, they refer to banks’’ use of
various types of statistical modeling
techniques solely for the purpose of
estimating the risk parameters PD, LGD,
and EAD for IRB retail segments.
9. The agencies expect that this
guidance and the standards set forth
below would apply to most retail
exposures of banks. Although banks can
designate some retail exposures as
nonmaterial and, thus, not subject to the
retail IRB approach, the aggregate
amount of these nonmaterial retail
exposures must be small as a percentage
of the bank’s total retail exposures, and
the aggregate amount of credit risk in
the nonmaterial retail portfolios must be
a small percentage of the bank’s total
amount of retail exposure credit risk. A
bank must maintain adequate
documentation to support its
nonmaterial determinations. Subject to
supervisory review, banks will
determine minimum capital
requirements for a nonmaterial retail
portfolio according to the risk-based
capital standards for non-IRB banks.
10. Some banking organizations have
retail portfolios that are centrally
managed, even though the exposures are
held by multiple legal entities. Certain
activities, including segmentation and
quantification, can be conducted across
multiple legal entities within the United
States, subject to limitations discussed
in chapter III and chapter V. However,
each legal entity subject to IRB capital
requirements must document its
minimum regulatory capital
requirements on a standalone basis and
hold its own separate minimum
regulatory capital in proportion to the
risk exposure of its portfolios.
Specifically, the PD, LGD, and EAD
estimates used to determine minimum
regulatory capital levels must be applied
to exposures at the segment level, and
capital requirements for each relevant
legal entity should be based on the
proportionate share of each segment
owned by such legal entity.
Furthermore, the board of directors of
each such legal entity must ensure that
capital calculations accurately reflect
the risk profile of their individual
banks.
11. While the general principles of
retail segmentation, quantification, and
data maintenance will apply to all

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portfolios, special issues may arise in
the case of portfolios outside the United
States. Cross-border issues for retail and
other portfolios will be addressed in
future documents.
C. Definition of Retail Exposures
12. An exposure is a retail exposure
for IRB purposes if both of the following
conditions are met:
• The exposure is managed as part of
a pool of similar exposures rather than
as an individual exposure; and
• With the exception of small
business loans (see below), the obligor
is an individual.
13. Within this general definition,
there are three retail risk categories,
each with specific qualifying criteria:
• Residential mortgage loans secured
by one- to four-family residential
properties. Includes first and
subsequent liens, term loans, lines of
credit, and legally binding commitments
to lend. This includes business loans if
the loans are primarily secured by oneto four-family residential properties. No
limit on the size of the exposure.
• Qualifying revolving exposures
(QREs) whose outstanding amount
fluctuates, determined largely by the
borrower’s decisions to borrow and
repay, up to a pre-established limit.
Must be revolving, unsecured, and
unconditionally cancelable by the bank;
maximum exposure, $100,000. Includes
most credit cards to individuals (but not
those issued on behalf of a business)
and overdraft lines on individual
checking accounts. Also included are
overdraft protection programs,
commonly referred to bounced-check
protection programs, that advise
customers of an amount up to which
overdrafts may be paid.5 To qualify for
QRE status, a sub-portfolio must display
low volatility of loss rates relative to its
average level of loss rates.
• Other retail—general and small
business. ‘‘General’’ applies to all retail
exposures to individuals that do not fall
into either of the two previous
categories or into the ‘‘small business’’
category described immediately below.
No limit on size of exposure. ‘‘Small
business’’ applies to small loans of any
kind to individuals or companies for
business purposes. However, if a small
business loan is primarily secured by 1–
4 family residential property, it should
5 This sentence is intended to capture bouncedcheck protection programs and reflects the
reporting and capital standards proposed in the
draft Interagency Guidance on Overdraft Protection
Programs that was published for comment in the
Federal Register on June 7, 2004 (69 FR 31858).
However, it should be noted that once the
Interagency Guidance on Overdraft Protection
Programs is finalized, this draft guidance may be
amended to reflect changes in that guidance.

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Federal Register / Vol. 69, No. 207 / Wednesday, October 27, 2004 / Notices
be included in the residential mortgage
category above. For small business
loans, total exposure to a single
borrower is limited to $1 million, on a
fully consolidated basis, although
supervisors may allow amounts slightly
above the limit.
14. Private banking exposures must
meet the requirements stated above,

including the requirement that they
must be managed as part of a pool of
similar exposures, to be considered
under retail IRB. Otherwise, they would
fall under corporate IRB.
15. Each of the three retail risk
categories has a separate risk-weight
function. These functions differ from
one another only by the supervisor-

62753

specified asset value correlation. The
unexpected loss capital requirement (K)
per dollar of EAD for each retail
segment of non-defaulted assets is
calculated using the following general
formula:



 N −1 ( PD) + R × N −1 (0.999) 
K = LGD × N 
 − ( LGD × PD)




1− R





)

(

)

16. Minimum capital requirements for
defaulted retail exposures are
determined separately. See chapter III
for a detailed discussion.
17. Risk-weighted assets (RWA) for
each segment are calculated as 12.5 × K
× EAD.
18. The expected dollar loss on a
segment (EL) is defined as PD × LGD ×
EAD. The overall level of expected
losses in the retail and certain other
portfolios is used in the calculation of
a regulatory capital adjustment.
D. Quantifying Retail Exposure Credit
Risk
19. There are two distinct phases in
the process of determining the
minimum regulatory capital
requirements for the credit risk of retail
exposures. In the first phase, credit risk
segmentation, a bank assigns every
individual retail exposure to a segment
or pool with homogeneous risk
characteristics. These characteristics,
often referred to as ‘‘primary risk
drivers’’ (such as loan-to-value ratios
and credit scores), are reliable
predictors of loan performance over
time that allow banks to effectively sort
exposures into homogeneous segments.
6 That is, minimum regulatory capital for covering
unexpected losses, K, is set to equal the estimated
level of unexpected losses corresponding to the
99.9th percentile of the loss distribution for the
bank’s credit portfolios.

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corresponding to the four chapters of
this guidance. The four chapters are
organized as follows: chapter II,
‘‘Segmentation’’; chapter III,
‘‘Quantification’’; chapter IV, ‘‘Data
Maintenance’’; and chapter V, ‘‘Control
and Oversight Mechanisms.’’
E. Supervisory Expectations
24. Taken together, segmentation,
quantification, data maintenance, and
control and oversight mechanisms
provide a framework for defining and
improving evaluation of retail credit risk
and determining minimum regulatory
capital. Supervisors expect that banks
will continue to refine their credit risk
systems using regular reviews and
updates.
25. All aspects of the risk
segmentation system and the
quantification processes must be subject
to thorough, independent, and welldocumented validation. Banks should
use a variety of validation approaches;
no single approach can conclusively
validate the risk segmentation and
quantification methods. Three broad
types of useful tools include evaluating
the developmental evidence or logic of
the system; ongoing monitoring of
system implementation and
reasonableness (verification and
benchmarking); and comparing realized
outcomes with predictions (backtesting).
26. A rigorous framework of control
and oversight mechanisms must govern
the entire IRB implementation. The
framework must be characterized by
independence, transparency, and
accountability; must ensure that the IRB
implementation standards discussed in
this guidance are met; and must ensure
that related bank policies are followed.
The control and oversight mechanisms
must also include independent
technical validation of all quantitative
aspects of the risk segmentation and
quantification systems.
27. For IRB systems to work
successfully, they need the active

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EN27oc04.001</GPH>

(

R = 0.03 × 1 − e −35× PD + 0.16 × e −35× PD

To segment risk in this way, bankers
must have a thorough understanding of
how a retail exposure’s risk drivers
affect the risk parameters (PD, LGD, and
EAD).
20. In the second phase,
quantification, a bank statistically
estimates the three risk parameters, PD,
LGD, and EAD, for each retail segment.
Historical data are used to create
‘‘reference segments’’ whose subsequent
credit performance has been observed
and included in the data set. The central
assumption of this phase is that the
estimated relationship between the
particular set of risk drivers and the
credit performance of the reference
segments will hold for the segments that
make up the existing portfolio. Once the
risk parameters are quantified for
existing retail exposure segments, the
bank then calculates the minimum
regulatory capital requirements based
on the appropriate IRB formulas.
21. Each phase has its own validation
challenges. In phase one, the bank must
determine whether the assignment of
retail exposures to segments effectively
separates exposures by characteristics
that remain significant drivers of risk
over time. In phase two, the bank must
determine whether the risk parameter
estimates are accurate and
representative of the risk in the existing
portfolio.
22. A robust and detailed data
maintenance system should support
implementation of the IRB segmentation
and quantification process as well as
their dynamic development.
Management oversight and control
mechanisms over the entire IRB retail
credit risk system (including
segmentation, quantification, and
supporting data maintenance) should
ensure conservative, verifiable, and
accurate estimates of the segment-level
credit risk parameters.
23. In summary, IRB banks will be
expected to construct and maintain a
retail credit system comprising four
interdependent components

EN27oc04.000</GPH>

where N is the cumulative standard
normal distribution, N¥1 is the inverse
cumulative standard normal
distribution, R is the asset value
correlation, and 0.999 is the ‘‘solvency
standard’’ chosen by the supervisors.6
For residential mortgages, R is specified
as 0.15, for qualifying revolving
exposures, R is specified as 0.04, and for
other retail exposures, R varies between
0.03 and 0.16, based on the following
formula:

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Federal Register / Vol. 69, No. 207 / Wednesday, October 27, 2004 / Notices

support and oversight of the board of
directors and senior management to
ensure that the various components fit
together seamlessly and that incentives
are in place to extend the system
rigorously across business line, risk
management, and other control groups.
28. The proposed regulatory
minimum capital requirements are
predicated on a bank’s internal systems
being sufficiently advanced to allow a
full and accurate assessment of its risk
exposure. The IRB framework demands
more rigorous validation work and
controls than supervisors have required
in the past. When properly
implemented, the new framework will
better align minimum capital
requirements with risk.
29. Supervisors will evaluate
compliance with the four components of
a retail IRB system and how well the
various components of a bank’s retail
IRB system complement and reinforce
one another to achieve the overall
objective of accurately determining
minimum required regulatory capital for
retail exposures. In performing their
evaluation, supervisors will exercise
considerable supervisory judgment in
evaluating both the individual
components and the overall IRB
framework.

segments and that perform consistently
over time.
• Risk drivers for segmentation
should be consistent with the
predominant risk characteristics used by
the bank for internal credit risk
measurement and management.
• The segmentation system should
generate pools that separate exposures
by realized performance. It should be
designed so that actual long-run
outcomes closely approximate the retail
IRB risk parameters estimated by the
bank.
• In general, segments should not
cross national jurisdictions.
• IRB banks must have ongoing
validation processes for risk
segmentation systems that include the
evaluation of developmental evidence
or logic of the system, ongoing
monitoring, and back-testing. Validation
for the risk segmentation system is
ultimately tied to validation of the
bank’s quantification of IRB risk
parameters. This aspect of validation is
discussed in chapter III.
32. The IRB retail risk parameter
estimates that determine minimum
required capital are assigned at the
segment level.

II. Retail Risk Segmentation Systems
for IRB

RS–1: Banks must segment exposures
into pools with homogeneous risk
characteristics. Banks must separately
segment exposures in each distinct
product line within each of the three
retail risk categories (mortgage, QRE,
and other).
33. Examples of acceptable
approaches to segmentation include:
• Banks may segment exposures by
common risk drivers that are deemed
relevant and material in determining the
loss characteristics of a particular retail
product. For example, a bank may
segment mortgage loans by LTV band,
age from origination, geography,
origination channel, and credit score.
Statistical modeling, expert judgment,
or some combination of the two may
determine the most relevant risk drivers.
• Alternatively, banks could segment
by grouping loans with similar loss
characteristics, such as similar average
loss rates or similar PDs. (Those loss
parameters would be estimated in
accordance with the techniques
outlined in chapter III.)
34. While banks have considerable
flexibility in determining IRB retail risk
segments, they should consider factors
affecting both borrower risk
characteristics (such as credit score) and
loan-related risk characteristics (such as
LTV) when determining segmentation
criteria.

A. Overview
30. This chapter describes the design
and operation of a qualifying retail risk
segmentation system. IRB retail risk
segments are pools of exposures within
the three retail risk categories that
contain exposures with similar risk
characteristics.
31. The retail IRB framework is
intended to provide banks with
substantial flexibility to use the retail
portfolio segmentation they believe is
most appropriate for their activities,
subject to the following broad standards:
• The goal of segmentation is to
provide meaningful differentiation of
risk, with each pool composed of
exposures with homogeneous risk
characteristics Accordingly, in
developing the risk segmentation
system, banks should consider the
chosen risk drivers’ ability to separate
risk consistently over time and the
overall robustness of the bank’s
approach to segmentation.
• Segmentation must use relevant
borrower risk characteristics (such as
credit score, delinquency, or debt-toincome ratio) and loan-related risk
characteristics (such as loan-to-value or
product type) that reliably differentiate
a segment’s risk from that of other

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B. Criteria for Retail Segmentation

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35. Each retail risk segment will
typically be associated with a separate
PD, LGD, and EAD. In some cases, it
may be reasonable to use the same LGD
estimate for multiple segments. In such
cases, the bank must demonstrate that
there are no material differences in LGD
among those segments. Over time,
supervisors expect banks to develop
more precise data and methodologies for
determining LGDs.
36. There may be situations in which
data for certain retail loans are missing
or incomplete, such as data for
purchased loans or loans originated as
policy exceptions. The overall
segmentation system should adequately
consider the risk associated with these
loans based on data availability. In some
cases, missing or incomplete data by
itself may be a significant risk factor for
segmentation purposes.
RS–2: Defaulted assets must be
segmented on the basis of risk
characteristics predictive of loss and
recovery rates.
37. The IRB capital calculation for
defaulted assets requires banks to
provide a ‘‘best estimate’’ of the losses
on these loans. (See chapter III for
details.) Since, by definition, defaulted
assets have PDs equal to 1, these best
estimates of losses will depend solely
on banks’ estimates of losses given
current conditions. To produce these
best estimates, banks must segment
defaulted assets separately from nondefaulted assets, and base the
segmentation on those characteristics
that are most predictive of current loss
and recovery rates. This segmentation
should provide meaningful
differentiation so that individual loans
within each defaulted segment do not
have material differences in their
expected loss severity.
RS–3: A retail IRB risk segmentation
system must produce segments within
each retail risk category that adequately
differentiate risk and produce reliable
estimates of the IRB risk parameters.
38. A bank must support the degree of
granularity in its segmentation system
and the distribution of exposures across
segments. Granularity refers to how
finely the portfolio is segmented into
differentiated risk pools.
39. Banks have considerable
flexibility in determining the granularity
of their risk segmentation. Each bank
must perform its own internal analysis
to determine the appropriate degree of
granularity in order to achieve the goal
of producing homogeneous risk
segments. For example, a bank using
credit score ranges to segment its
portfolio must provide the rationale for
the ranges chosen.

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40. A concentration of exposures in a
segment (or segments) does not, by
itself, reflect a deficiency in the
segmentation system. For example, a
bank may lend within a narrow risk
band and, therefore, have a smaller
number of risk segments than a bank
that lends across a wider range of risk
bands. However, a bank with a high
concentration of exposures in a
particular risk segment will be expected
to document that the bank’s
segmentation criteria are carefully
delineated and well documented. The
bank should be able to demonstrate that
there is little risk differentiation among
the exposures within the segment, and
that the segmentation method produces
reliable estimates of IRB risk
parameters.
RS–4: Banks must clearly define and
document the criteria for assigning an
exposure to a particular retail risk
segment. The risk factors used for IRB
risk segmentation purposes must be
consistent with internal methods of
assessing credit risk for retail exposures.
41. The method of risk segmentation
will help determine the risk parameters
as well as which techniques should be
used for validation and which control
mechanisms will best ensure the
integrity of the risk segmentation
system. To assist the discussion of
segmentation requirements, described
below are some alternative techniques
for determining appropriate
segmentation.
• Banks may incorporate results of
statistical underwriting models or
scoring models directly into their risk
segmentation process. For example, a
bank may use a custom or bureau credit
score as a segmenting criterion. In that
case, the bank must validate the choice
of the score, as well as demonstrate that
its credit scoring system has adequate
controls.
• Banks may incorporate the variables
from a statistical model into their risk
segmentation processes. For example, a
bank that uses a statistical model to
predict losses for its mortgage portfolio
could select some or all of the major
inputs to that model, such as debt-toincome and LTV, as segmentation
criteria. As part of its validation and
controls for the IRB segmentation
system, the bank must provide an
appropriate rationale and empirical
evidence for its choice of the particular
set of risk drivers from the loss
prediction model.
• Banks may combine expert
judgment with statistical analysis in
determining appropriate segmentation
criteria. However, expert judgment of
this type must be well documented and
supported by empirical evidence

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demonstrating that the chosen risk
factors are reliable predictors of risk.
42. A bank must be able to
demonstrate a strong relationship
between IRB risk drivers and
comparable measures used for credit
risk management. Specifically, a bank
should demonstrate that the IRB
segmentation system differentiates
credit risk across the portfolio and
captures changes in the level and
direction of credit risk that are similar
to measures used in credit risk
management. For example, even if a
bank uses custom scores for
underwriting or account management,
generic bureau scores may be used for
IRB segmentation purposes if the bank
can demonstrate a strong correlation
between these measures.
C. Retail Risk Segmentation
Architecture
Migration of Exposures Between Retail
Segments
RS–5: Banks must develop and
document their policies to ensure that
risk driver information is sufficiently
accurate and timely to track changes in
underlying credit quality and to migrate
exposures between segments.
43. Under the IRB framework, a bank
initially assigns retail exposures to
segments based on the information
about their risk drivers available at the
time of origination or acquisition. The
bank must then continue to monitor the
risk characteristics of the exposures and
migrate exposures to new segments, as
necessary, based on refreshed
information gathered by the bank as part
of its monitoring process.
44. Banks must choose risk drivers
that accurately reflect the risk of an
exposure. Risk drivers selected should
be consistent with risk measures used
for credit risk management.
45. In accordance with industry
practices in retail credit risk
management, a bank must have a welldocumented policy on monitoring and
updating information on exposure risk
characteristics and on migrating
exposures between segments. The
policy should specify the risk
characteristics to be updated and the
frequency of updates for each product
type or sub-portfolio within its retail
portfolio. Updating of relevant
information on these risk drivers must
be consistent with sound risk
management.
46. Decisions regarding frequency of
obtaining refreshed information should
reflect the specific risk characteristics of
individual segments and/or the
materiality of the potential impact on
capital. The frequency of updates and of

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62755

migration will generally differ for
different risk drivers and for different
products. The underlying principle is
that, in every period, retail exposures
are assigned to segments that accurately
reflect their risk profile and produce
accurate IRB risk parameters.
47. Banks are expected to assess their
approach to updating information and
migrating exposures as part of the
validation of the segmentation process.
Frequency of Changes to the
Segmentation System
RS–6: Banks must review their
segmentation system at least annually
and have clear policies to define the
criteria for modifying the system.
48. Banks must review their
segmentation system to ensure that it
maintains adequate risk separation.
Changes in the segmentation system
should be documented and supported to
ensure consistency and obtain
historically comparable measurements.
Segmentation and the Recognition of the
Risk Mitigation Benefits of Guarantees
and Insurance
RS–7: Banks that design their risk
segmentation systems to realize the
benefits of guarantees or other risk
mitigants must be able to support their
approach.
49. Retail exposures may have
guarantees or insurance, such as private
mortgage insurance (PMI) and
government guarantees for residential
mortgages. (See chapter III for a more
detailed discussion of PMI.) A bank’s
risk segmentation system may reflect
such guarantees, as may its risk
parameter estimates. For example, loans
with similar risk characteristics,
including the same type of guarantee,
could be pooled together.
D. Validation Process
RS–8: Banks must validate that their
retail IRB risk segmentation process
separates exposures into segments with
homogeneous risk characteristics that
generate reliable long-run estimates of
the IRB risk parameters.
50. Banks must ensure that the actual
performance of their segments is
consistent with the expectations
underlying the assignment of exposures
to segments as set forth in their
documentation. Over time, performance
data should validate the manner in
which the bank differentiated the
portfolio by segment, and the actual loss
characteristics of each segment should
be consistent with its estimated IRB risk
parameters.
RS–9: The ongoing validation process
must include the review of

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developmental evidence, ongoing
monitoring, and back-testing.
51. The ongoing process to confirm
and ensure the performance of the
segmentation system consists of:
• The evaluation of developmental
evidence;
• Ongoing monitoring of system
implementation and reasonableness;
and
• Back-testing (comparing actual to
predicted outcomes).
52. IRB banks are expected to employ
all of the components of this process.
However, back-testing of segmentation
may be difficult if a bank’s process for
modeling risks is evolving significantly.
Therefore, banks may at times need to
rely more heavily on developmental
evidence and quality control tests to
assure themselves and other interested
parties that their segmentation systems
are sufficiently accurate.
Segmentation Systems’ Developmental
Evidence
53. Developmental evidence helps
determine whether the segmentation
system can be expected to differentiate
effectively between pools of exposures
by the credit risk they pose. To evaluate
developmental evidence, experts make a
reasonable assessment of the quality of
the segmentation system by analyzing
its design and construction.
• For example, developmental
evidence in support of statistical
techniques used in the segmentation
process, such as scoring models or
underwriting models, must include
documentation and discussion of their
logical foundations and an analysis of
the statistical model-building
techniques.
• The developmental evidence will
be more persuasive when it includes
empirical evidence of how well the
segmentation system has differentiated
pools of exposures in the past, including
evidence that it worked effectively
outside the development sample.
• Empirical developmental evidence
of a segmentation system would also
include evidence of how the system
compares with other systems. These
other systems could include other
internal segmentation systems as well as
external systems whose performance
can be charted against industry
benchmarks.
Ongoing Monitoring
54. The second source of analytical
support for the validity of a bank’s risk
segmentation system is the ongoing
analysis to confirm that the system
continues to group loans into pools with
similar loss characteristics. The bank
must develop a monitoring process to

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evaluate its system’s ability to segment
by risk and to apply this process
consistently over time. The bank must
document its approach to monitoring
and the results of this analysis. The
bank must also generate reports to
senior management on the functioning
of the segmentation system.
55. Specific verification activities will
depend on the segmentation approach.
For retail lending, statistical models will
be an important part of the segmentation
process, and the bank must verify that
the data used by these models are
accurate and complete.
Back-Testing of the Segmentation
System
RS–10: Banks must establish internal
tolerance limits for differences between
expected and realized outcomes that
require appropriate managerial review.
56. Back-testing is comparing realized
outcomes with each segment’s expected
performance. For retail IRB systems,
back-testing is a means of assessing
whether the bank’s method of
segmentation and its techniques for
estimating IRB risk parameters
combined to work effectively.
Accordingly, back-testing is a
conceptual bridge between the
segmentation system discussed in this
chapter and the quantification of the
IRB risk parameters discussed in
chapter III. Because these two processes
are so closely linked, a more complete
discussion of back-testing is deferred
until chapter III.
III. Quantification of IRB Systems
A. Introduction
57. The IRB framework requires banks
to assign to each segment of the retail
portfolio specific numerical values for
each of the three risk parameters:
probability of default (PD), loss given
default (LGD), and exposure at default
(EAD).7 Under the IRB framework, these
numerical values are inserted into the
appropriate formula (set forth in the
introduction) to determine the
minimum required regulatory capital for
each segment.
58. Quantification is the process by
which these numerical values for each
retail segment are determined. The risk
parameters must be estimated in a
manner consistent with sound risk
management practice, quantitative
techniques, and supervisory standards.
In addition, a bank must ensure that
these estimates remain valid over time.
7 A note on units of measurement: PD and LGD
are measured as rates (percentages or decimals).
EAD is a dollar amount, representing estimated
exposure at default. Therefore PD × LGD × EAD will
represent the dollar amount of expected losses (EL).

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Since quantification occurs at the
segment level, it is founded on the retail
risk segmentation system presented in
chapter II.
59. Conceptually, the quantification
process can be broken into four stages:
obtaining historical reference data;
using the historical reference data to
estimate relationships between the risk
characteristics of the borrowers and
loans on the one hand and observed
outcomes (such as default rate, loss
severity rate, or tendency to make
additional draws on credit card lines
prior to default) on the other; mapping
the correspondence between the
reference data and the existing
portfolio’s data; and applying the
relationship between reference data and
parameters to the portfolio’s data in
order to generate IRB risk parameters for
the bank’s existing retail segments.
60. In addition, the estimated values
of the risk parameters (PD, LGD, and
EAD) must be independently and
thoroughly validated and the results
reported to senior management.
61. The chapter is organized as
follows: Section A, ‘‘Introduction,’’
establishes the organizing framework for
IRB quantification and develops general
standards that apply to the entire
process. Section B, ‘‘Quantification of
the IRB Risk Parameters,’’ covers
specific supervisory standards that
apply to the quantification of the three
risk parameters, PD, LGD, and EAD.
Section C, ‘‘Quantification: Special
Cases and Applications,’’ addresses a
variety of special cases and applications
of the retail quantification standards
and procedures (for example, small
business exposures, loan purchases,
purchased retail receivables, and retail
leases). Section D, ‘‘Validation,’’
discusses how a bank should validate
the segmentation and quantification
processes.
62. A number of general examples are
given in the text of this chapter to aid
exposition and interpretation. Some
relevant implementation examples
covering the four stages of the full
quantification process are presented in
‘‘Appendix A: Process Analysis
Examples.’’ The guidance concludes
with a number of examples of technical
issues specific to retail quantification in
‘‘Appendix B: Technical Examples.’’
The Four Stages of the Quantification
Process
63. Stage one—obtaining reference
data. The bank assembles historical data
that are used to estimate the retail IRB
risk parameters. The reference data must
closely resemble the bank’s existing
portfolio. Banks must use the best
historical data available for quantifying

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the retail IRB risk parameters. Over
time, IRB banks will be expected to rely
primarily on internal data for most of
their retail portfolios, but supplemental
external data may also be used when
necessary. Banks may use more than
one reference data set to improve the
robustness or precision of the
parameters. Reference data sets should
include data on product type, borrower
characteristics, and loan payment
performance. Reference data for PD
quantification includes some loans that
later defaulted. Reference data sets for
LGD and EAD quantification will
consist solely of defaulted loans and the
resulting recovery streams from internal
historical data.
64. Important considerations in the
choice and construction of a reference
data set include:
• Comparability of the reference data
to the existing credit portfolio,
including consistency of risk
segmentation criteria, underwriting
standards, and definitions of default and
loss.
• The appropriate inclusion of
periods of portfolio stress.
65. The reference data set should also
include the following:
• External factors relevant to the
reference data that might affect the
parameter estimates should be recorded,
for example, the geographic
concentration, the economic
environment, and industry trends
during the time period of the reference
data.
• All borrower and loan
characteristics that are used to estimate
risk parameters must be included, as
well as all variables necessary to
redevelop and validate the estimation
approach.
• The definition of default and
methods of measuring loss that were in
use at the time must be in the reference
data set. The data must include
collection costs, gain or loss on sale of
collateral, date of default, etc.
66. When it is not possible to use
consistent segmentation criteria for both
the reference and existing portfolio,
reasonably close proxy characteristics
must be found.
67. Stage two—estimation. The bank
applies analytical or statistical methods
to the reference data to estimate a
relationship between the borrower and
loan risk characteristics embodied in the
reference data and the outcomes of
interest (defaults, loss severity,
additional draws on unused lines prior
to default). In other words, the bank
uses empirical techniques to estimate
the segment values of the risk
parameters, PD, LGD, and EAD, as a
function of the borrower and loan risk

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characteristics of the counterpart
segment in the reference data. The risk
parameter estimates may rely on
relatively simple analysis of default rate
or loss rate statistics from the reference
data, or they may be a result of
regression or other statistical estimation
and classification techniques. This step
may include adjustments for seasoning
effects. A bank may use more than one
technique to generate risk parameter
estimates from the reference data if
doing so improves robustness and
accuracy of the estimates. If multiple
estimates are generated, the bank must
have a clear and consistent policy on
reconciling the different estimates.
68. Stage three—mapping. The bank
establishes a close correspondence
between the portfolio data and the
reference data. The risk segmentation
criteria for the reference data set should
match closely the criteria for the
existing portfolio. In addition, if any
other characteristics of the reference
data and the existing portfolio are used
to estimate the risk parameters, they
should correspond closely in both data
sets. For many retail portfolios, mapping
will be a relatively mechanical process
for banks using quantitative criteria to
segment and model risk. If the
quantitative characteristics are equally
valid and provide comparable measures,
mapping will simply mean applying
these characteristics to the existing
portfolio. In some cases, mapping may
be more challenging. For example, if a
bank undertakes a major new effort to
expand its offering of products on the
Internet, and the bank has little internal
data on exposures offered this way, the
bank may need to augment its reference
data with external data.
69. Stage four—application. The bank
applies the relationship estimated for
the reference data to the actual portfolio
data. The ultimate aim of quantification
is to generate the risk parameter
estimates for each segment of retail
exposures within the existing portfolio.
In the application stage, the bank often
simply applies the risk parameter
estimates calculated for each segment of
retail exposures in the reference data to
the corresponding segment in the
existing portfolio. If the bank
incorporates multiple data sets or
estimation methods for the risk
parameters, or if the mapping stage
required adjustment to ensure a close
match of the reference data and the
existing portfolio data, the application
stage could be more complex.
Integration of the Four Stages
70. While the four-stage quantification
described above is a useful conceptual
approach, banks may satisfy supervisory

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standards without explicitly dividing
the quantification process into four
stages. In particular, the mapping and
application stages may be fairly
mechanical applications of the
quantitative risk segmentation criteria to
the existing portfolio. An example of a
seamless approach to the four stages of
quantification is provided in example 1
of appendix A.
71. In general, the mapping and
application stages will represent
relatively straightforward processes
when:
• The bank relies on quantitative
segmentation criteria (for example,
credit score, LTV, debt-to-income ratio),
and these criteria represent relatively
stable risk drivers over time. For
example, if a bank uses a custom credit
score, the score values must represent
similar risk over the relevant time
period.
• There are no major new product
offerings, or changes in underwriting
standards or other policies that require
alternative risk segmentation criteria.
72. The complexity of the mapping
and application stages will depend on
the availability of data and the
consistency over time of factors such as
product offerings and underwriting
standards. For some banks or product
types, it will be necessary to work
through all four stages for one or more
risk parameters. In those cases, a bank
should use most or all of the detail,
complexities, and contingencies
concerning the mapping and application
stages spelled out in the remainder of
this chapter.
73. Finally, while the four stages of
quantification can sometimes be
streamlined (because a bank’s data
history is extensive, for example),
validation should not be streamlined.
Even when a bank is able to take a
straightforward approach, it must use
the full validation process as prescribed
in the last section of this chapter.
General Standards for Sound IRB
Quantification
74. Several core standards apply to all
elements of the overall IRB retail
quantification process; these general
standards are discussed in this section.
Other supervisory standards, specific to
particular risk parameters, are discussed
in the subsequent sections. When
evaluating retail IRB quantification,
supervisors will consider all of these
standards, both general and specific.
Particular practical approaches to retail
quantification may be highly consistent
with some standards and less so with
others. In any particular case, an
ultimate assessment relies on the
judgment of supervisors to weigh the

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strengths and weaknesses of a bank’s
chosen approach, using these
supervisory standards as a guide.
RS–11: Banks must have a fully
specified process covering all aspects of
retail quantification. The quantification
process must be fully documented and
updated periodically.
75. A fully specified quantification
process must describe how all four
stages (data, estimation, mapping, and
application) are implemented for each
risk parameter. The quantification
process should be periodically reviewed
and updated to ensure that it
incorporates new data, analytical
techniques, and evolving industry
practice.
76. Documentation promotes
consistency and allows third parties to
review and replicate the entire process.
Examples of third parties that might
make use of the documentation include
internal reviewers of the quantification
model and risk segmentation system,
internal validation teams within an
independent function, and bank
supervisors.
77. Major decisions in the design and
implementation of the quantification
process should be justified and fully
documented. A bank should have a
well-defined policy for reviewing and
updating the segmentation and
quantification design. Particular
attention should be given to new
business lines or portfolios in which the
distribution of retail exposures among
segments is believed to have changed
substantially. A material merger, the
acquisition or sale of loans, and
substantial account attrition or growth
clearly raise questions about the
continued applicability of the process
and should trigger a review and possible
updating.
78. At a minimum, the risk parameter
estimates must be updated at least
quarterly and more frequently if deemed
necessary for accurate credit risk
management. New data should be
incorporated into the risk parameter
estimates using a well-defined process
to correctly merge data sets over time.
The frequency of updates and the
process for doing so must be justified
and documented in bank policy.
79. The bank must ensure that the use
of judgment in the design of the
quantification system does not produce
unduly low risk parameter estimates.
80. Aspects of the quantification
process that are apt to introduce greater
uncertainty and potential error include
the following:
• Uncertainty when there are
substantial changes in the bank’s
product offerings, target customer base,
or underwriting standards;

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• Deficiencies or gaps in available
data;
• The possibility of model error; and
• Mergers or acquisitions where the
MIS for the acquired assets does not
match the MIS for existing assets.
81. The more uncertain the bank’s
estimates are as a result of any of the
causes cited in the previous two
paragraphs, the greater should be the
margin of conservatism around those
estimates, although these margins need
not be added at each step.
RS–12: Quantification must be based
upon the best available data for the
accurate estimation of IRB risk
parameters.
82. Given the bank-specific basis of
assigning retail exposures to segments,
over time banks are expected to regard
internal data as the primary source of
information for estimating IRB risk
parameters. However, banks are
permitted to use external data for
quantification, provided a strong
similarity can be demonstrated (1)
between the bank’s process of assigning
exposures to a segment and the process
used by the external data source, and (2)
between the bank’s internal credit risk
profile for a given set of risk drivers and
that of the external data.
83. The bank must have a process for
vetting potential reference data, whether
the data are internal or external. The
vetting should assess whether the data
are sufficiently accurate, sufficiently
complete, and sufficiently
representative of the bank’s existing
exposures. Furthermore, the bank must
have adequate data to estimate risk
parameters for all loans on the books as
if they were held to maturity, even if
some loans are likely to be sold or
securitized before their long-term credit
performance can be observed. (See
Section C, RS–27 of this chapter.)
84. One objective of the IRB
framework is to encourage further
development of credit risk
quantification techniques. Improving
the quality, capture, and retention of
internal data is an essential prerequisite
for such advances.
85. For new products it is likely that
banks will need to supplement internal
data with external sources. It may also
be possible to accumulate internal data
through the testing of new products by
offering loans to a limited number of
consumers and observing the
performance.
86. In the case of mergers or
purchased portfolios, the data for the
newly acquired segments may not be
compatible with the purchasing bank’s
MIS. In such cases it may be necessary
to gather data on borrower and loan
characteristics from a combination of

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internal and external sources. Historical
data on the purchased portfolios, if
available from external sources, would
allow the incorporation of borrower and
loan risk characteristics data into the
purchasing bank’s internal database.
The risk parameters can then be
estimated by combining historical data
from the purchased portfolio (if
available) with internal reference data.
87. Differences in economic
conditions between the reference data’s
sample period and the present period
should be monitored. In addition, the
bank needs to consider any changes in
trend behavior by consumers or small
businesses that might affect the
relevance of the historical data to the
present period. For example, the bank
may need to monitor actual or
anticipated changes in consumer
behavior due to changes in bankruptcy
law or other factors.
88. A well-defined and documented
process should be in place to ensure
that the reference data are updated as
frequently as needed, as fresh data
become available or as portfolio changes
make necessary. All data sources,
characteristics, and the overall
processes governing data collection and
maintenance must be fully documented,
and that documentation should be
readily available for review by
supervisors.
RS–13: The sample period for the
reference data must be at least five years
and must include periods of portfolio
stress.
89. In general, the bank should use all
relevant historical data available,
though the bank may weight some
periods more heavily if it can
demonstrate that the weighted data are
likely to produce more accurate risk
parameter estimates. Newer reference
data, for example, may receive greater
weight because of possible changes in
bank products, underwriting standards,
policies, and strategies. On the other
hand, unusual recent circumstances in
the bank’s internal portfolio
composition or in the historical period
may make the recent data less
applicable than the older data. If the
reference data include data from beyond
five years (to capture a period of stress
or for other valid reasons), the reference
data need not cover all of the
intervening years.
90. Example: During the 2001 to 2003
period of highly elevated mortgage
prepayments owing to record low
interest rates, losses may have been
deferred in mortgage portfolios because
of readily available refinancing options.
Also, losses on foreclosures during this
period were limited because housing
prices generally increased throughout

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the United States despite a recession. A
similar (though not as substantial) drop
in interest rates occurred in the early
1990s. That recession, however, was
characterized by a sharp drop in
property values in many parts of the
country. In a case like this, where the
recent period has been atypical, a bank
may choose to weight the older data
(perhaps from external sources) more
heavily than the recent data.
91. When a bank does not have
sufficient historical data to encompass a
period of stress for a particular portfolio,
other sources of data covering stressed
periods will be required. The bank may
be able to select sub-samples of its
internal portfolio that experienced
stressed periods (for example, particular
MSAs or geographic regions); see
example 1 of appendix B. The bank may
also use external data from industry
sources.
RS–14: Mapping must be based on a
robust comparison of available data
elements that are common to the
existing portfolio and each reference
data set.
92. Sound mapping practice uses all
key common elements available in the
data. A mapping should be plausible
and should be consistent with the risk
segmentation system established by the
bank. Levels and ranges of key
characteristics for each segment of the
existing portfolio’s retail exposures
should approximate the values of
similar characteristics for the reference
data.
93. A bank that uses multiple
reference data sets should conduct a
rigorous mapping process for each data
set. (Some common mapping challenges
are discussed in example 2, appendix
B.)
94. The use of internal data for
reference data purposes does not
eliminate the need for a mapping
requirement because changes in bank
strategy (such as marketing,
underwriting standards, or account
management practices) or products may
alter the risk characteristics or
composition of the portfolio over time,
even within the same pools of a risk
segmentation system.
RS–15: Mappings must be reviewed
regularly and updated as necessary.
95. Mappings should be reaffirmed
regularly for both internal and external
reference data, regardless of whether the
risk segmentation criteria have
undergone explicit changes during the
period covered by the reference data set.
Changes in borrower risk characteristics,
products, and bank policies (for
example, target population,
underwriting standards, or collection
policies) are quite typical in retail lines

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of business, so it is imperative that
banks review all mappings regularly.
When significant characteristics have
been changed, added, or dropped, a new
mapping must be established between
the characteristics of the existing
portfolio and characteristics of the
reference data.
RS–16: Banks that combine estimates
from internal and external data or that
use multiple estimation methods must
have a clear policy governing the
combination process and should
examine the sensitivity of the results to
alternative combinations.
96. To improve the accuracy of its
estimates, a bank might combine data
from multiple sources and may use
multiple estimation methods. The
manner in which the estimates from
multiple data sets or estimation
methods are combined is extremely
important, since different combinations
will produce different parameter
estimates for each segment. The bank
should investigate parameter estimates’
sensitivity to different ways of
combining data sets or combining
estimation methods. When results are
highly sensitive to how data or
estimates are combined, the bank
should choose among the alternatives
conservatively. A bank must document
why it selected the combination
techniques it did, and these techniques
must be subject to appropriate approval
and oversight by management.
RS–17: A bank must have a clear,
well-documented policy for addressing
the absence of significant data elements
in either the reference dataset or the
existing portfolio.
97. Some exposures in the reference
data set and the existing portfolio will
have missing data elements, some of
which are important factors for
measuring risk. Banks may segment
these exposures separately for
estimating the risk parameters.
Alternatively, they may use a variety of
statistical methods to impute values for
the missing data points—provided these
points can be sufficiently correlated to
known information about the exposure.
Expertise is required to judge whether
such correlations can be established.
Regardless of the approach and level of
sophistication, the bank must have a
clear and well-documented process
describing how it treats missing data
elements in the estimation and mapping
stages.
B. Quantification of the IRB Risk
Parameters
RS–18: For estimating the IRB retail
risk parameters, qualifying banks must
use the IRB definition of default.

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98. For retail exposures, banks must
use the following definition of default
for IRB: A retail exposure will be
considered in default for IRB purposes
when any one of the following loss
recognition events occurs:
• Loss recognition as embodied in the
Federal Financial Institutions
Examination Council (FFIEC) Uniform
Retail Credit Classification and Account
Management Policy. All residential
mortgages and revolving credits must be
recognized as defaults at 180 days past
due, and all other retail loans must be
recognized as defaults at 120 days past
due.
• A partial or full charge-off is taken
against the exposure.
• The exposure is put on non-accrual
status.
99. For retail exposures (as opposed to
wholesale exposures), the definition of
default is applied to a particular loan
rather than to the obligor. That is,
default by an obligor on one obligation
would not require a bank to treat all
other obligations of the same obligor as
defaulted.
100. In the early stages of IRB
implementation, a bank’s historical
reference data might not fully conform
to the IRB definition of default. In
addition, a bank may change its policies
regarding charge-offs or placing loans on
non-accrual. In such cases, a bank
should make conservative adjustments
to reflect such discrepancies.
Quantification of Probability of Default
(PD)
101. For a given segment, the PD
represents an estimate of the long-run
average of one-year default rates. The
one-year default rate (or default
frequency) is the number of accounts
that default at any time within a oneyear period divided by the number of
accounts open at the beginning of the
year. (To figure in the calculation, an
account must be open at the beginning
of the period.) For unseasoned loans
where seasoning effects are material,
upward adjustments to the PD estimates
will be necessary (as described in
paragraphs 109 through 112).
Data
102. A bank must have a
comprehensive reference data set that
maps to the existing portfolio on a
segment-by-segment basis. The same
comparability standards apply to both
internal and external data sources. All
data sources must meet the minimum
five-year requirement and include a
period of economic stress. See example
4, appendix B for an example of a
reference data set.

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Estimation
103. Estimation of PD is the process
by which characteristics of the reference
data are related to the default
frequencies for each segment of
exposures in the reference portfolio. The
relevant characteristics that help to
determine the PDs are referred to as
‘‘drivers of default.’’ Drivers of default
might include product, loan and
borrower characteristics such as loan-tovalue, credit line utilization, credit
score, or delinquency status. Also, a
portfolio separator such as geographic
region, while not a direct driver of
default, might indicate separate
relationships by geographic region of
the PD to these drivers. These drivers
could be criteria for the assignment of
exposures to pools in the risk
segmentation system. A statistical
model developed to estimate the PD
would incorporate such drivers directly
into the PD estimation.
RS–19: Estimates of PD must be
empirically based and must represent
the average over time of segment default
frequencies on an account basis. The
effects of seasoning, prepayments, and
attrition must be considered in the PD
estimates.
104. PD estimates should capture
average expected default rates for a
segment given its risk characteristics.
PD estimates should represent averages
of default rates measured over a
sufficiently long time period to provide
accurate estimates. The estimation
period must include periods of
economic distress.
105. When estimating PDs, a bank
may give equal weight to each sample
period or it may weight recent data
more heavily if it can demonstrate that
doing so is more predictive of future
default behavior.
106. If the bank calculates an average
PD over time by weighting each year’s
segment-level PD by the number of
loans or volume of outstanding
balances, the estimated PD may be
lower or higher than the estimated PD
from an unweighted average. For
example, if lending typically declines
during periods of stress, this weighting
will tend to lessen the impact of the
stress periods on the weighted average.
A bank using such an approach would
be expected to empirically demonstrate
that such an approach produces a more
accurate estimated PD for its existing
portfolio. See example 2 of appendix A
for an example of the quantification of
a models-based PD consistent with a
long-run average.
107. Different methods of measuring
and tracking exposures, defaults, and
losses are common in credit risk

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management. Banks are required to
produce an estimate equivalent to the
one-year account default rate. See
example 3 in appendix B.
108. Some banks may choose to
derive a PD based on the average
expected dollar loss rate. A bank may
use this method as long as it produces
an accurate PD on an account basis as
defined in paragraph 101. See example
3 in appendix A.
Seasoning
109. Seasoning poses a challenge for
banks quantifying the default rate for
retail exposures when the default rate
follows a characteristic account age
profile, typically rising for the first
several periods following origination
and then falling. Seasoning is an issue
for longer-maturity consumer products
such as residential mortgages, but it may
also be important for shorter-lived
portfolios. In addition, accounting for
seasoning is particularly significant for
portfolios that are growing rapidly
through new originations or for banks
that systematically sell or securitize
loans before they reach the peak of the
seasoning curve. In both cases, banks
should factor seasoning into their
quantification to provide adequate
capital to cover future needs.
110. For segments containing
unseasoned loans, a bank should assign
a higher PD estimate that reflects the
annualized cumulative default rate over
the segments’ expected remaining life.8
For seasoned loans, the bank should use
the long-run average of one-year PDs.
111. The account age profile may be
tracked by using account age as a
criterion in the risk segmentation
system or as a predictive variable of the
PD parameter. Several methods can be
used to account for seasoning in the PD
estimates. See example 4 in appendix A.
112. Periods of unusual prepayments
or other types of account attrition have
the potential to materially alter the
estimated historical default rates for
some retail exposures. PD estimates
must be developed in such a way that
they are not distorted by periods of
unusual prepayment activity or other
types of account attrition in the
reference data sets.
Mapping
113. Mapping is establishing a
correspondence between the existing
portfolio and the reference data—that is,
it is identifying how the existing
portfolio’s product, loan, and borrower
risk characteristics relate to the

reference data’s characteristics.
Mapping enables a bank to determine
how risk parameter estimates from the
reference data should apply to the
existing portfolio. For banks with a
consistent, long-term process of risk
segmentation, PD mapping may consist
simply of adopting the long-run average
PD estimates from the historical data.
However, if the bank’s internal risk
segmentation has varied over time, the
bank must demonstrate a discernable
link between its existing segmentation
system and the long-run PD estimates
produced from the reference data.
114. In some business lines, products,
or cross-sections of the portfolio, certain
drivers of default may not be available
in the risk segmentation system. Drivers
are most likely to be missing as banks
transition to an IRB system or when a
bank acquires a portfolio. In such cases,
the bank should modify its mapping
process accordingly. Supervisors expect
this practice to be temporary, however,
and as the requisite data become
available, banks should incorporate the
omitted effects into the risk
segmentation system.
Application
115. In the application stage, the bank
applies the PD estimates to the risk
segments of the existing portfolio to
calculate minimum regulatory capital.
This should be a relatively mechanical
process for most retail portfolios.
RS–20: PD estimates for all retail
segments cannot be less than 0.03
percent (3 basis points)
Quantification of Loss Given Default
(LGD)
116. LGD is defined as the segment’s
credit-related economic losses net of
discounted recoveries divided by the
segment’s exposure at default, all
measured during a period of high credit
losses for the particular portfolio (e.g.,
mortgages, credit cards). The LGD
estimation process is similar to the PD
estimation process. The bank identifies
a reference data set, which must include
periods of portfolio stress. Once the
bank obtains these data sets, it should
select a technique to estimate the creditrelated economic loss per dollar of
exposure for all defaulted loans in each
reference segment. The bank’s reference
data should then be mapped to the
bank’s existing retail segments, so that
the model can be applied to generate an
estimate of the LGD for each segment in
the existing portfolio.
Data

the bank can demonstrate that seasoning does
not have a material effect on PD, the bank can use
the long-run average of one-year PDs.

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117. Unlike reference data sets used
for PD estimation, data sets for LGD

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estimation contain only defaulted
exposures.
118. In order to calculate economic
loss, the reference data sets must
include all relevant data for quantifying
LGD. This would include the exposure
at the time of default (including
principal plus unpaid but capitalized
interest and fees), recoveries, and
material collection and workout
expenses. The data should contain the
circumstances of default, for example,
roll to charge-off or bankruptcy leading
to charge-off, if they are significant
factors for LGD. Recovery data should
include the income and timing of
recoveries including direct payments
from the consumer, the sale of the
collateral, or realized income from the
sale of defaulted loans. For defaulted
loans and collateral still on the balance
sheet, the estimated current market
value can be used to proxy the recovery
amount. Cost data comprise the material
direct and indirect costs associated with
workouts and collections, including the
dates when the various costs were
incurred.
119. The same minimum history of
five years for the LGD reference data set
is required, or longer to include a period
of portfolio stress. Although a bank may
use internal or external data, most banks
will eventually be expected to collect
and maintain sufficient internal data.
120. In the LGD calculation, all
material credit-related losses must be
captured, whether or not those losses
are ultimately charged to the ALLL.
Material credit-related losses are
broadly defined to include any material
losses associated with a defaulted loan,
including write-off of unpaid interest or
fees, write-downs of repossessed
collateral, and any similar losses.
Estimation
121. Banks must determine an
accurate LGD parameter for each
segment. As discussed in chapter II,
banks may estimate and apply a
common LGD over a range of risk
segments within a particular product
type, where appropriate.
RS–21: The estimates of LGD must
reflect the concept of ‘‘economic loss.’’
122. For estimating LGD, the
definition of loss is based on the
concept of economic loss, which is a
broader, more inclusive concept than
accounting measures of loss. Economic
loss incorporates the mark-to-market
loss of value of the defaulted loan and
collateral plus all direct and indirect
costs of workout and collections, net of
recoveries (including late fees and
interest). Losses, recoveries, and costs
should all be discounted to the time of
default.

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123. The scope of cash flows included
in recoveries and costs is meant to be
broad. Workout and collection costs that
can be clearly attributed to certain
segments of loans, plus indirect cost
items, must be reflected in the bank’s
LGD assignments for those exposures.
Recovery costs include the costs of
running the bank’s collection and
workout departments and the cost of
outsourced collection services directly
attributable to recoveries during a
particular time or for a particular
segment of loans, at as granular a level
as possible. Recovery costs also include
an appropriate percentage of other
ongoing costs, such as corporate
overhead.
124. These recovery costs can be
allocated using the same principles and
techniques of cost accounting that are
usually used to determine the profit and
loss of activities within any large
enterprise. Collection and workout
departments, however, may cover
services not 100 percent attributable to
defaulted loans. For example, the same
call center may manage reminder calls
to delinquent accounts, many of which
will never default, as well as collection
calls. The expenses for these functions
should be differentiated to allocate only
collection expenses attributable to
defaulted loans.
125. When costs can’t be allocated
because of data limitations, the bank
may assign those costs using broad
averages. (For example, the bank could
allocate costs by outstanding dollar
amounts of loans, including unpaid
interest and fees at the time of default,
within each segment.)
126. All losses, costs, and recoveries
should be discounted to the time of
default if realization of those material
costs and recoveries is significantly
delayed. The discount rate should be
applied to the time interval between the
date of default and the date of the
realized loss, incurred cost, or recovery,
on a pooled basis. A bank must establish
a discount rate that reflects the time
value of money and the opportunity cost
of funds to apply to recoveries and
costs. The discount rate, which should
reflect the distressed nature of the asset,
should usually exceed the contract
interest rate for newly originated
products as of the date of default.
Within the retail portfolio, the
discounting process will be particularly
important in the case of residential
mortgages because foreclosure laws in
many states allow considerable time to
pass between default and recovery.
RS–22: The estimated LGD must
reflect loss severities during periods of
high credit losses.

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127. A bank must estimate an LGD for
each segment that reflects economic
downturn conditions where necessary
to capture the relevant risks. The LGD
cannot be less than the long-run defaultweighted average LGD calculated on the
basis of the average economic loss of all
observed defaults within the data source
for that retail segment. In addition, a
bank must take into account the
potential for the LGD to be higher than
the default-weighted average during a
period when credit losses for a
particular portfolio (e.g., mortgages) are
substantially higher than average. For
certain types of exposures, loss
severities may not exhibit such cyclical
variability, and LGD estimates may not
differ materially (or possibly at all) from
the long-run default-weighted average.
However, for other exposures, this
cyclical variability in loss severities may
be significant, and banks will need to
incorporate it into their LGD estimates.
For this purpose, banks may use
averages of loss severities observed
during periods of high credit losses for
that product, forecasts based on
appropriately conservative assumptions,
or other similar methods.
128. The LGD of an asset does not
change with its actual default. The
assigned LGD should already reflect a
default loss experience predicated on a
period of high credit losses. However,
once an asset actually defaults, the bank
must construct its best estimate of
expected losses for it based on current
economic circumstances and risk
characteristics. For this purpose, banks
can group defaulted loans into
segments. (See chapter II.) The amount,
if any, by which the LGD on the
defaulted asset segment exceeds the
bank’s best estimate of the current
expected loss rate on the segment
represents the capital requirement (K)
for that segment. The agencies are
considering the possible establishment
of an appropriate capital requirement
floor for defaulted assets. When the best
estimate of expected loss on a defaulted
asset is less than the sum of specific
provisions and partial charge-offs, that
asset will attract supervisory scrutiny
and must be justified by the bank.
129. Examples 5, 6, and 7 in appendix
B present some issues related to LGD
estimation.
Mapping
130. LGD mapping follows the same
general standards as PD mapping. The
default and loss definitions and loss
severity risk drivers in the reference
data and the existing portfolio of retail
exposures must be comparable. Some
common challenges in mapping are
presented in example 2, appendix B.

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The mapping process must be updated
regularly, well documented, and
independently reviewed.
Application
131. At the application stage, banks
apply the LGD estimation framework to
their existing portfolio of exposures.
Doing so might require banks to
aggregate individual segment-level LGD
estimates into broader averages or to
combine estimates.
132. LGD may be particularly
sensitive to changes in the way banks
manage retail credits. For example, a
change in policy regarding collection
practices or loan sales may have a
significant impact on the quantification
of LGD. When such changes take place,
the bank should consider them in all
steps of the quantification process. If a
bank’s policy changes seem likely to
reduce LGD, estimates should be
reduced only after the bank accumulates
a significant amount of actual
experience under the new policy to
support the reductions; on the other
hand, policy changes that are likely to
increase LGD should be reflected in the
estimates in a timely fashion.
RS–23: IRB banks have a minimum
LGD of 10 percent for residential
mortgages.
133. This floor is based on the view
that LGDs, if appropriately estimated,
are unlikely to fall below this level
during periods of high credit losses.
During the initial two-year
implementation period of the IRB
framework, the LGDs for retail
residential mortgages cannot be set
below 10 percent. During this transition
period, the agencies will review the
potential need for continuation of this
floor. Mortgages guaranteed by a
sovereign government are exempt from
this floor.9
RS–24: If banks choose to reflect the
risk-mitigating effect of private mortgage
insurance (PMI) for residential
mortgages in their risk estimates, they
must do so by incorporating these
insurance benefits into the
quantification of segment-level LGD.
134. In calculating losses for LGD
estimation, the amount of expected PMI
benefits would be deducted from the
losses otherwise incurred by the bank
on defaulted mortgages.
135. Banks may choose to incorporate
loan-level PMI coverage into their risk
segmentation. For example, loans with
similar risk characteristics, including
the same type of PMI coverage, could be
placed in a single segment. In any case,
banks will need accurate PMI coverage
9 This

exemption applies to VA-guaranteed and
FHA-insured mortgages.

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data in both the reference and existingportfolio data sets. This would generally
require loan-by-loan tracking of PMI
over the life of the loan, since loans on
which the lender requires PMI coverage
at origination (generally because of
LTVs greater than 80 percent) often drop
coverage when current LTV falls below
80 percent. Pool-level mortgage
insurance is treated under the IRB
securitization framework or under the
general IRB credit risk mitigation rules.
136. Banks with substantial PMIcovered residential mortgages should
monitor the senior unsecured debt
ratings of the PMI companies. If the
rating of any PMI company falls below
AA, banks should accordingly adjust the
LGD to take into account the elevated
counterparty risk for all mortgages
insured by that company.
Quantification of Exposure at Default
(EAD)
Introduction
RS–25: The bank must provide an
estimate of EAD for each segment in its
retail portfolio.
137. For an individual retail exposure,
EAD is the gross amount due at default,
which is the amount by which
regulatory capital would be reduced if
the exposure were to be fully written
off. This includes all accrued, but
unpaid, interest and fees. EAD for
defaulted assets includes any partial
write-offs that have already been
incurred. EAD for a segment is the sum
of the EADs of all the loans in the
segment. For fixed exposures such as
term loans and installment loans, each
loan’s EAD is no less than the principal
balance outstanding.10 For revolving
exposures and other lines of credit such
as credit cards, overdrafts on checking
accounts, and home equity lines of
credit, each loan’s EAD includes the
outstanding balance plus estimated net
additions to balances for loans
defaulting over the following year.
These additions consist of future
principal increases including
capitalized future interest and fees.
138. For purchased loans, the EAD is
set equal to the purchase price. For
example, if a bank buys a retail portfolio
consisting of exposures with $100
million face value at a 5 percent
discount, the initial EAD for the
purchasing bank is $95 million.
(Example 8 in appendix B illustrates the
effect of the purchase discount on EAD
and LGD.)
139. To estimate the net additional
draws, many banks estimate a loan
10 For all loans, the LGD calculation includes all
unpaid interest and fees in the measure of economic
loss.

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equivalent exposure (LEQ) as the
percentage of the total authorized but
undrawn lines expected to be drawn
down by borrowers that default. Thus,
the estimated dollar value of the
additional drawdown before default can
be represented as:
Net additional draws =
LEQ * (total authorized line ¥ present
outstanding balance)
EAD for the segment can then be
represented as:
EAD = Present outstandings + Net
additional draws
It is the LEQ that must be estimated,
since the total authorized line and the
amount presently outstanding are
known. The estimation of the LEQ is the
focus of this section of the guidance.
140. A bank quantifies its EAD by
working through the four stages of
quantification: the bank must develop a
reference data set; it must estimate an
EAD for segments in the reference data
set with a given array of characteristics;
it must map its existing portfolio to the
reference data; and by applying the
mapping, it must generate an EAD
estimate for each segment in the existing
portfolio.
Data
141. In order to estimate LEQ for an
entire segment, EAD reference data sets
contain only defaulted loans. In many
cases, the same reference data may be
used for both LGD and EAD. In addition
to relevant descriptive characteristics
that can be used in estimation, the
reference data must include historical
information on drawn and undrawn
exposures prior to default, as well as the
drawn exposure at the date of default.
142. As discussed below under
‘‘Estimation,’’ LEQ estimates of
potential draws may be developed using
either a cohort method or a fixedhorizon method. The bank’s reference
data set should be structured so that it
is consistent with the estimation
method that the bank applies.
Estimation
143. To derive LEQ estimates for each
segment, characteristics of the reference
data are related to additional drawings
preceding a default event. The
estimation process should be capable of
producing an average estimate of draws
on unused lines to support the EAD
calculation for each segment. Two broad
types of estimation methods are used in
practice: the cohort method and the
fixed-horizon method. Regardless of the
method used, the LEQ estimates must
accurately capture the potential
exposure to losses from loans defaulting
over the coming year.

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144. Under the cohort method, a bank
groups defaults into discrete calendar
periods, typically one year. A bank may
use a longer period if it provides a more
accurate estimate of total future losses
arising from undrawn exposures. The
bank then estimates the relationship
between the balances for defaulted loans
at the start of the calendar period and
the balances at the time of default.
145. Under the fixed-horizon method,
the bank bases its estimates on a
reference data set that supplies the
actual exposure at default for each
defaulted loan along with the drawn
and undrawn amounts at a fixed
interval prior to default. Estimates of
LEQ are computed from the increase in
balances that occur over the fixedhorizon interval for the defaults in the
segment. The time interval used for the
fixed-horizon method must be
sufficiently long to capture the
additional exposures generated by loans
that default during the year for which
the risk parameters are being estimated.
In particular, the appropriate fixed
interval will be influenced by charge-off
policies. For example, using a six-month
time interval for credit card loans would
underestimate EAD.
RS–26: The estimated LEQ must
reflect estimated net additional draws
during periods of high credit losses.
146. The LEQ cannot be less than the
long-run default-weighted average for
that retail segment. The LEQ must
reflect net additional draws observed
during periods of high credit losses if
these are systematically higher than the
default-weighted average. For this
purpose, banks may use averages of
LEQs observed during periods of high
credit losses for that product, forecasts
based on appropriately conservative
assumptions, or other similar methods.
Mapping
147. If the characteristics that drive
EAD in the reference data are the same
as those used for the risk segmentation
system of the bank’s existing retail
portfolio, mapping may be relatively
straightforward. However, if the relevant
characteristics are not available in a
bank’s existing portfolio risk
segmentation system, the bank will
encounter the same mapping
complexities that it does when mapping
PD and LGD in similar circumstances.
Application
148. In the application stage, the
estimated relationship between risk
drivers and LEQ is applied to the bank’s
existing portfolio. With the exception of
portfolios purchased at a discount, the
estimated EAD must be at least as large
as the currently drawn amount in each

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segment; therefore, LEQs cannot be
negative. Multiple reference data sets
may be used for LEQ estimation and
combined at the application stage,
subject to the general standards for
using multiple data sets.
149. EAD may be particularly
sensitive to changes in the way banks
manage retail credits. For example, a
change in policy regarding line
increases or decreases for particular
segments may have a significant impact
on LEQ. When such changes take place,
the bank should consider them when
making its estimates—and it should do
so from a conservative point of view.
Policy changes likely to significantly
increase LEQ should prompt immediate
increases in LEQ estimates. If a bank’s
policy changes seem likely to reduce
LEQ, estimates should be reduced only
after the bank accumulates a significant
amount of actual experience under the
new policy to support the reductions.
C. Quantification: Special Cases and
Applications
Small Business Exposures
150. Certain exposures to a company
or to an individual for business
purposes can be included in the ‘‘other
retail’’ category for IRB purposes
provided they meet the following
conditions:
• A small business loan must be
managed by the bank on a segmented
basis, where credit scoring is often a key
component of the underwriting decision
process, and the bank must estimate risk
parameters for segments of such loans
with similar risk characteristics. (If the
small business exposures are rated and
managed as individual exposures, they
will fall under the corporate standards
and requirements.)
• The total of all of the bank’s
exposures to a single business (whether
in the name of the business or in the
name(s) of the proprietor(s) for business
purposes) cannot exceed $1 million.
• Revolving exposures to an
individual can be treated as QREs, even
if used for business purposes. However,
revolving exposures to businesses will
be treated as ‘‘other retail’’ if they meet
the criteria above.
151. Small business exposures
qualifying for retail treatment are
subject to all the standards applicable to
other retail exposures.
Retail Leases
152. The minimum capital
requirement for retail leases is the sum
of (1) the credit risk capital requirement
on the discounted lease payment stream
plus (2) 8% of the residual value of the
leased asset:

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• The lease payment credit risk is
determined by estimating PD and LGD
in the same manner as retail loan
exposures; EAD equals the discounted
remaining lease payment stream.
• The risk of the residual value is the
bank’s exposure to loss arising from
potential decline in the fair value of the
leased asset below the estimate at the
time of lease inception.
Purchased Retail Receivables
153. Purchased retail receivables are
treated the same as other categories of
retail exposures, except for the effects of
dilution. Dilution effects refer to the
potential reduction in receivable
balances caused by cash or non-cash
credits granted to the receivables’
obligor(s). Examples include offsets for
the return of goods sold and discounts
given for prompt payment. If dilution
poses a material risk, banks should
estimate an expected (long-run average)
one-year dilution rate (as a percentage of
the receivables amount.) The minimum
regulatory capital requirement for
dilution risk is determined according to
the corporate risk weight formula.
154. When refundable purchase price
discounts, collateral, or partial
guarantees provide first dollar loss
protection for purchased retail
receivables, banks may treat these as
first dollar loss protection under the IRB
securitization framework and use that
framework for the calculation of
minimum capital requirements for the
purchased retail receivables.
Alternatively, the bank may choose to
treat EAD as the purchase price.
Loan Sales
RS–27: Quantification of the IRB risk
parameters must be adjusted
appropriately to recognize the risk
characteristics of exposures that were
removed from reference data sets
through loan sales or securitizations.
155. Banks must estimate the risk
parameters for all loans on the books as
if they were held to maturity, even if
some loans are likely to be sold or
securitized before their long-term credit
performance can be observed. Loan
sales and securitizations, however, can
pose substantial difficulties for
quantification. For example, PDs might
appear disproportionately low if loans
are sold before their historical
performance patterns become manifest.
Adjusting the risk parameter estimation
to correct for sales or securitization
would be particularly important for a
bank that sells off primarily credits that
are performing poorly (for example,
delinquent loans).
156. If the potential bias in the
parameter estimates created by loan

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sales and securitizations is material, the
bank must identify, by detailed risk
characteristics, the loans sold out of the
pool or portfolio when using internal
historical data as reference data sets for
quantification purposes.
157. For banks with a history of
regularly selling or securitizing loans of
particular types, long-run performance
data should be available from the
servicers or trustees. Alternatively,
banks may be able to construct
appropriate reference data sets with risk
characteristics comparable to the loans
sold or securitized by using internal
historical data from retained pools or
external data.
Securitization and Undrawn Balances
158. For QREs, home equity lines of
credit (HELOCs), and other retail
products where the drawn balances of
certain accounts in the portfolio have
been securitized, the IRB risk
parameters and minimum capital
requirements shall be determined as
follows:
• For the seller’s interest in
securitized receivables, the risk
parameters and minimum capital
requirements must be determined as
stipulated in this chapter.
• The potential additions to the
balances prior to default for all of the
accounts with securitized balances must
be determined in accordance with the
section of this chapter on EAD. These
additions must be allocated between the
seller’s (originating bank’s) and
investors’ shares on a pro rata basis, in
the same proportions as the drawn
balances of the accounts.
• For the seller’s interest in the
undrawn balances, the risk parameters
and capital requirements must be
determined as stipulated in this chapter.
• For the investors’ interest in the
undrawn balances, minimum regulatory
capital will be determined according to
the IRB rules for securitizations.
Multiple Legal Entities
159. In those cases where
quantification is conducted across
portfolios that are held by two or more
legal entities, segmentation must meet
all the standards set forth in Chapter II.
Exposures assigned to a single segment
must share homogeneous risk
characteristics, regardless of whether
the exposures are held on the books of
a single or multiple legal entities, to
ensure that the risk parameters
accurately reflect the risk of the
exposures held by that entity. For
example, if a particular institution
within the banking group holds loans
with unique or predictive characteristics
(such as credit card loans originated

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through a specific marketing channel or
mortgage loans in a certain location), the
segmentation system must be designed
to incorporate these characteristics to
ensure that PDs, LGDs and EADs for
each entity are accurately stated. The
following standards also apply:
• The risk parameters for each
segment are determined on a segmentwide basis in the same manner
described in the preceding sections of
this chapter.
• Capital requirements for each legal
entity should be based on the pro-rata
share of the EAD exposure for each
segment that is owned by that entity.
• Periodic validation should be
conducted to confirm that minimum
capital requirements determined
through this approach are not materially
different from those that would be
determined on a separate entity basis.
QRE Treatment Qualification
160. To qualify for QRE treatment, in
addition to the other requirements listed
in chapter I, banks must demonstrate
that their revolving portfolios are
characterized by low volatility of loss
rates relative to average loss rates,
particularly for low PD bands.
161. Specifically, sLR/L̄R̄ must be
‘‘relatively low,’’ where L̄R̄ is the
average loss rate, and sLR is the
volatility, or the standard deviation of
the average loss rate over time.
162. The average loss rate and the
standard deviation should be calculated
over a sufficiently long time period to be
representative of the performance of the
portfolio over both good and stressful
economic environments.
163. There is no fixed threshold for
what constitutes a ‘‘low ratio’’ of sLR to
L̄R̄. Banks will be expected to develop
and document policies for their
thresholds, and to compare ratios across
portfolios that meet all the remaining
qualifications for QRE treatment. In
addition, they should compare the ratios
to those of their other retail portfolios
and their corporate and bank portfolios.
Banks must retain data on their loss
rates.
164. If the ratio of loss rate volatility
to average loss rates is not sufficiently
low, the portfolio will be subject to
treatment as ‘‘other retail’’ rather than as
QRE. Supervisors will review the
relative volatility of loss rates across the
QRE sub-portfolios, as well as the
aggregate QRE portfolio, and intend to
share information on the typical
characteristics of QRE loss rates across
jurisdictions.
Stress Testing
165. Stress-testing analysis indicates
the effect of economic downturns on

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credit quality and the resulting effect on
capital requirements. Under the new
framework, changes in borrower credit
quality will lead to changes in the
required IRB regulatory capital charge.
Since credit quality changes typically
reflect changing economic conditions,
required regulatory capital may also
vary with the economic cycle. During an
economic downturn, regulatory capital
requirements could increase if
exposures migrate toward lower credit
quality segments as a result of higher
unemployment and lower incomes.
166. Supervisors expect that banks
will manage their regulatory capital
position so that they remain adequately
capitalized during all phases of the
economic cycle. A bank that is able to
credibly estimate regulatory capital
levels during a downturn can be more
confident of appropriately managing
regulatory capital. Stress testing is one
tool for that estimation, by means of
projecting the levels of key performance
measures in an economic downturn.
167. Stress testing is a general term
that can be applied to different types of
analysis, depending on the purpose of
the exercise. To cite an example that
differs from the type of stress testing
considered here, a bank might want to
shed light on how it would fare during
an extreme scenario that threatens its
continued existence. Still another type
of stress testing evaluates the effect of an
adverse scenario (such as a significant
increase in unemployment) on the
credit quality of a group of borrowers.
168. Banks are encouraged to use a
range of scenarios when stress testing to
manage regulatory capital. Scenarios
may be historical, judgmental, or modelbased. Key variables specified in a
scenario could include interest rates,
score-band segment transition matrices,
asset values, growth rates, and
unemployment rates. A bank may
choose to have a single scenario that
applies to the entire portfolio, or it may
identify scenarios specific to the various
portfolio segments. The severity of the
stress scenario should be consistent
with the periodic economic downturns
experienced in the United States. Such
scenarios may be less severe than those
used for other purposes, such as testing
a bank’s solvency.
169. Given a scenario, a bank then
estimates the effect of the scenario on
risk-weighted assets and its future
capital ratios relative to the regulatory
minimums. Estimating capital ratios
includes estimating levels of capital (the
numerator of the ratio) as well as
measures of risk-weighted assets (the
denominator). Suppose the scenario for
a large retail portfolio segment is a
specific historical recession (for

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example, the national unemployment
rates of 1980 to 1985). Score-band
transition matrices observed during the
recession could be used to quantify
migration between segments and thus
supply the new distribution of segments
expected for the current portfolio, given
the scenario. This would allow the
calculation of risk-weighted assets that
would be expected in the recession
scenario. Default rates would allow the
estimation of the effects on bank income
and the consequent capital effects of
credit losses.
170. The scope of this estimation
exercise should be broad and include all
material portfolios under IRB. The time
horizon of the stress-testing analysis
should be consistent with the specifics
of the scenario and should be long
enough to measure the material effects
of the scenario on key performance
measures. For example, if a scenario
such as a historical recession has
material income and segment migration
effects over two years, the appropriate
time horizon is at least two years.
171. The stress-testing exercise should
also take into account a bank’s
discretionary actions that affect
regulatory capital levels. For example, a
bank’s plan to reduce dividends in the
face of lowered income would, if
implemented, affect retained earnings
and the capital accounts. Holding more
than the minimum regulatory capital
requirements during normal economic
conditions is a key discretionary action.
Such discretionary actions must be
consistent with the bank’s documented
regulatory capital management policy.
Because discretionary plans may or may
not be implemented, a bank should
estimate the relevant capital ratios both
with and without these actions.
D. Validation
Introduction
172. Validation consists of a wide
range of activities intended to assure
that the risk segmentation method and
the risk quantification process are
logical and sound and that the segmentlevel forecasts of PD, LGD and EAD are
accurate.
173. It is often rather difficult to
disentangle the effects of the risk
segmentation system from those of the
quantification process, in particular
with respect to validation. Some aspects
of the validation of the risk
segmentation system can be assessed
independently; those have been
discussed in chapter II. However, to a
very significant degree, the accuracy,
logic, and statistical powers of the
segmentation system are inextricably
intertwined with the accuracy and

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validity of the risk parameters estimated
on the basis of that segmentation.
Therefore, most of the discussion that
follows applies to both the risk
segmentation system and the risk
parameter quantification process.
174. The units that develop and test
the segmentation and quantification
processes should conduct the types of
ongoing validation discussed below. In
addition, there must be independent
review conducted by a separate unit.
See chapter V for details.
RS–28: A validation process must
cover all aspects of IRB retail
quantification.
175. Validation of the risk
quantification process should focus on
the three estimated segment-level retail
IRB parameters, PD, LGD, and EAD.
Although the established validation
process should result in an overall
assessment of IRB quantification for
each parameter, it also must cover each
of the four stages of the quantification
process as described in preceding
sections of this chapter (data,
estimation, mapping, and application).
Validation of the risk segmentation
system should focus on the design and
the ongoing ability of the system to
divide exposures into stable and
homogeneous segments that separate
exposures effectively by risk. The
process must be updated periodically to
incorporate new developments in
validation practices and to ensure that
validation methods remain appropriate.
Documentation must be updated
whenever validation methods change.
RS–29: A bank must establish policies
for all aspects of validation. A bank
must comprehensively validate risk
segmentation and quantification at least
annually, document the results, and
report its findings to senior
management.
176. A full and comprehensive annual
validation is a minimum for effective
risk management under IRB. More
frequent validation may be appropriate
for certain parts of the IRB system and
in certain circumstances; for example,
during high-default periods, banks
should compute realized default and
loss severity rates more frequently. They
must document the results of validation
and report them to appropriate levels of
senior risk management.
RS–30: Banks must use a variety of
validation approaches or tools; no single
validation tool can completely and
conclusively assess IRB quantification.
A bank’s validation processes must
include the evaluation of logic, ongoing
monitoring, and the comparison of
estimated parameter values with actual
outcomes.

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177. Banks must have processes
designed to give reasonable assurances
of their quantification systems’
accuracy. The ongoing process to
confirm and ensure accuracy consists of:
• The evaluation of developmental
evidence (evaluation of logic) or the
evaluation of the conceptual soundness
of the approach to quantification;
• Ongoing monitoring of system
implementation and reasonableness
(verification and benchmarking); and
• Back-testing (comparing actual with
predicted outcomes).
178. IRB banks are expected to
employ all of the components of this
process. However, the data to perform
comprehensive back-testing may not be
available in the early stages of
implementing an IRB segmentation and
quantification process. In addition,
back-testing may be difficult if a bank’s
process for modeling risks is evolving
significantly. Therefore, banks may at
times need to rely more heavily on
developmental evidence, quality control
tests, and benchmarking to assure
themselves and other interested parties
that their quantification processes are
likely to be accurate.
Developmental Evidence
RS–31: Banks must evaluate the
developmental evidence, or logic,
involved with the development of the
risk segmentation system and the
quantification process.
179. Evaluating logic is essential in
validating the risk segmentation system
and all four stages of the quantification
process. Developing a risk segmentation
system and quantification process
requires banks to adopt methods, choose
characteristics, and make adjustments;
each of these actions requires judgment.
Validation should ensure that these
judgments are plausible and informed
and that they reflect as much as possible
evolving industry practice and the latest
theoretical developments and empirical
techniques in the risk management
field.
180. Evaluating developmental
evidence involves making a reasonable
assessment of the quality of the
quantification process by analyzing the
design and construction of the four
stages of quantification. Developmental
evidence is intended to answer these
questions: Could the risk segmentation
system be expected to accurately
measure the risk within each segment
and to separate the risk between
segments? Could the quantification
process be expected to accurately
estimate PDs, LGDs, and EADs? That
evidence will have to be revisited
whenever the bank changes its
quantification process or its risk

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segmentation system. Since risk analysis
at advanced banks is constantly
evolving, the evaluation of
developmental evidence is likely to be
an important ongoing part of the
process.
181. Generally, the evaluation of
developmental evidence will include a
body of expert opinion. Developmental
evidence in support of the risk
segmentation system includes the
statistical design of the segmentation in
separating exposures into stable and
homogeneous segments and the
selection and combination of default
risk drivers. Developmental evidence in
support of techniques used in the
quantification process must include
information on the logic that supports
the methods chosen for the four stages
of quantification. The developmental
evidence will be more persuasive when
it includes empirical evidence on the
power of the segmentation system to
separate exposures by risk and the
accuracy of the quantification process.
The sufficiency of the developmental
evidence will itself be a matter of
informed expert opinion, and experts
should be able to draw conclusions
about whether an IRB system would be
likely to perform satisfactorily.
Ongoing Process Verification and
Benchmarking
RS–32: Banks must conduct ongoing
process verification on the developed
risk segmentation system and
quantification process to ensure proper
implementation.
182. The second source of analytical
support for the validity of a bank’s IRB
systems is the ongoing analysis to
confirm that the process continues to
perform as intended. Such analysis
involves process verification and
benchmarking.
183. Verification activities address the
question: Are methods of separating
exposures into segments and
quantifying risk parameters being used,
monitored, and updated as designed?
184. Risk segmentation and
quantification process verification also
includes monitoring of model overrides.
If individuals have the ability to
override models, the bank should have
both a policy stating the tolerance for
overrides and a monitoring system for
identifying the occurrence of and
reasons for overrides. The performance
of overrides should be tracked
separately.
RS–33: Banks must benchmark their
risk quantification estimates against
other sources.
185. A bank must also assess whether
it has quantified the risk parameters on
the reference data accurately by

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comparing those estimates with
alternative PD, LGD, and EAD estimates
from internal and industry sources, a
process broadly described as
benchmarking. Benchmarking should
also include the comparison of the
quantification results derived from
different risk segmentation criteria.
186. Benchmarking allows a bank to
compare the robustness of its estimates
with those of other estimation
techniques and data sources. Results of
benchmarking exercises can be a
valuable diagnostic tool in checking for
potential weaknesses in a bank’s risk
quantification system. A bank should
investigate the sources of substantial
discrepancies between its IRB risk
parameters and those observed in the
benchmarking exercise.
Back-Testing
RS–34: Banks must develop statistical
tests to back-test their IRB risk
quantification processes. Banks must
establish tolerance limits for differences
between expected and actual outcomes,
and banks must have a validation policy
that requires and outlines remedial
actions to be taken when policy
tolerances are exceeded.
187. A bank must back-test its risk
parameter estimates by regularly
comparing actual segment-level default
rates, loss severities, and exposure-atdefault experience from its portfolio
with its PD, LGD, EL, and EAD
estimates. However, back-testing is only
one element of the broader validation
process, and often it will not permit
identification of the specific reasons for
discrepancies between expectations and
outcomes. Rather, it will indicate only
that further investigation is necessary.
188. Random chance and many other
factors will make discrepancies between
realized outcomes and those predicted
by the estimated risk parameters
inevitable. Even for segments with a
large number of exposures, unexpected
changes in aggregate economic
conditions can lead to differences
between realized and predicted
outcomes. However, if these
discrepancies are unduly large, the bank
should analyze the discrepancies to
determine the cause. If the
discrepancies demonstrate a systematic
tendency to decrease regulatory capital,
the nature and source of the bias
requires even more detailed scrutiny.
189. Banks have wide flexibility in
developing statistical tests to back-test
their retail risk parameter quantification
and retail risk segmentation systems.
Regardless of the back-testing method
used, the bank should establish
thresholds or accuracy tolerance levels
for validation results. Results that

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breach thresholds should bring an
appropriate response; that response
should depend on the results and
should not necessarily be to change the
design of the segmentation system or the
quantification of the risk parameter
estimates. The bank’s validation policy
should describe (at least in broad terms)
the types of required responses when
relevant action thresholds are crossed.
IV. Data Maintenance
A. Overview
190. Banks adopting the IRB approach
for retail exposures must use advanced
data maintenance practices to support
their risk segmentation systems,
quantification processes, validation, and
control and oversight mechanisms
described in this guidance. Timely,
accurate, and reliable data are the
foundation for retail credit risk
management, and IRB status reinforces
the importance of both data and the
means to store, retrieve, and use them.
191. IRB banks will implement
different risk segmentation systems and
quantification processes, and therefore
their supporting data structure and
elements will differ. Within a bank,
moreover, risk segmentation and
quantification processes may differ
across business lines and countries.
Therefore, the data structures and
practices adopted will be unique to each
bank.
192. While banks will have
substantial flexibility in the specific
design of their data maintenance
systems, the underlying principle in this
guidance is that the data systems must
be of sufficient depth, scope, and
reliability to implement and evaluate
the IRB retail credit risk system. The
system must be able to do the following:
• Develop a risk segmentation system
and assign retail exposures to segments;
• Develop a quantification process
and assign risk parameter estimates to
segments;
• Validate the IRB risk segmentation
system criteria and architecture;
• Validate the IRB risk parameter
estimates;
• Produce internal and public reports;
and
• Support the overall retail credit risk
management process.
193. Data maintenance systems must
enable banks to undertake necessary
changes in their IRB systems and to
improve methods in credit risk
management over time. This will
require that systems be capable of
providing detailed historical data and
new data elements for enhanced model
development and new product testing.
194. This chapter covers retail IRB
data requirements and systems

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comprising the loan characteristics
specific to the bank’s exposures, the
credit characteristics of the bank’s
borrowers, and the performance history
of the bank’s exposures. It is expected
that over time historical data sets used
for risk segmentation and reference data
for quantification discussed in chapters
II and III will be constructed primarily
from these internal data, but they may
be supplemented by external data when
necessary.
B. General Data Requirements
RS–35: The bank must collect and
maintain sufficient data to support its
IRB retail credit risk system.
195. Banks must develop data systems
capable of supporting their risk
segmentation systems and
quantification processes. Given the risk
segmentation criteria and quantification
components that are necessary for the
IRB retail credit risk system, the bank
must establish historical databases at
the individual loan level.
196. At a minimum, the bank must
maintain loan and borrower risk
characteristics that significantly affect
origination decisions (for example,
credit score, collateral type, loan-tovalue ratio), as well as ongoing
characteristics that significantly affect
account management decisions (for
example, refreshed credit scores,
utilization, payment history), whether
or not those are used directly in the
segmentation system.
197. The bank must maintain data
history at the loan level for all loans in
the portfolio on performance
components (for example, balance and
payment history) and loan disposition
(for example, prepayment, default,
recoveries) necessary for PD, LGD, and
EAD quantification.
198. Data necessary to support
segmentation systems and
quantification processes may vary by
business line and by country or
wherever the key drivers of risk are
unique to the portfolio, different data
elements are available, or different
measurements of loss are appropriate.
199. As discussed in chapter III, banks
must use the best available data for the
development of risk segmentation
systems and for historical reference data
sets used in risk parameter
quantification.
200. Given the bank-specific basis of
assigning retail exposures to segments,
over time internal data should become
the primary source of information for
estimating IRB risk parameters. Banks
using external data for quantification
must demonstrate a strong link between
(a) the bank’s process of assigning
exposures to a segment and the process

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used by the external data source and (b)
the bank’s internal risk profile and the
composition of the external data.
201. Internal data refer to data on the
historical loan and risk characteristics
and the performance of loans in a bank’s
own portfolio—even if some input
components are purchased from outside
sources. Property appraisals purchased
from a third-party appraiser for
updating LTVs of the bank’s mortgage
exposures would be internal data on
loan characteristics. Credit scores
purchased from a credit bureau for
borrowers with existing exposures
would be internal data on borrower
characteristics. However, if a bank
purchases extensive data on borrower
and loan risk characteristics and the
performance of other banks’ portfolios
(for example, about a new product with
which the bank has no experience),
such data would be considered external.
202. External data may provide more
accurate estimates of the risk
parameters, particularly during the early
years of IRB implementation. Banks
should document the use of external
data and retain those data in accordance
with all of the requirements for internal
data. It is expected that banks will
improve the quality of their internal
data over time.
RS–36: Banks must retain all
significant data elements used in the
IRB retail credit risk system for at least
five years and must include a period of
portfolio stress. This data requirement
applies to all loans and lines that were
open at any time during this period.
203. Banks must retain a minimum
five-year loan-level history of the entire
portfolio. The standard above
establishes the minimum requirement
for banks to retain significant data
elements (key risk drivers) used in the
risk segmentation system or in the
quantification of the risk parameters
(PD, LGD, and EAD). However, it is
expected that banks will retain
additional data elements used in their
internal credit risk management
systems.
204. If the most recent period of
portfolio stress occurred more than five
years ago, banks must retain additional
data to cover the stress period. These
data may be in the form of
representative statistical samples of the
portfolio, rather than data from all
loans. In addition, these data need not
cover the period between the stress
period and the most recent five-year
period. The method of any sampling
should be statistically sound and well
documented.
205. Banks must gather and retain
disposition data, including recovery
data on defaulted loans (for example,

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date and dollar value of recoveries and
collection expenses) sufficient to
develop LGD and EAD estimates. For
many banks, information related to
recoveries and collection expenses
currently exists only at an aggregate
level. These banks should develop
interim solutions and a plan to improve
data availability.
206. Banks must retain data on losses
(including recoveries, expenses, and
dates) incurred in their revolving
portfolios for at least five years or longer
to include a period of high credit losses,
in sufficient detail to calculate the
average loss rates and the volatility of
those loss rates over time. These
parameters are necessary to determine
eligibility for QRE capital treatment (see
chapter III).
207. Banks are encouraged to retain
data beyond the minimum requirements
because they will need robust historical
databases containing key risk drivers
and performance components over as
long a historical period as possible to
facilitate the development and
validation of new, more advanced
methods.
208. A data structure designed to
create a historical data warehouse at the
loan level may take many forms. For
example, the loan-level data may be
collected and stored at the business line,
while segment-level data inputs may be
stored in a centralized database.
Ultimately, the objective is for the bank
to be able to access loan-level data, as
needed, using a structure that is
sufficiently robust to support validation
and improvements in the IRB system.
Standards for Refreshed Data
RS–37: Banks must retain refreshed
data elements related to key credit risk
drivers, performance components, and
loan disposition consistent with
advanced credit risk management
standards and commensurate with the
risk and size of the program.
209. Maintaining up-to-date
information is necessary to support a
more risk-sensitive and accurate capital
computation. This information may
consist of refreshed information on
segmentation criteria such as credit
scores, as well as refreshed performance
indicators such as payment history. In
documenting its segmentation approach,
a bank must specify the time frames for
updating data elements involved with
the capital calculation.
210. For many retail products, banks
update key loan and borrower risk
characteristics and performance metrics
monthly for account management and
risk measurement purposes. For other
portfolios or other data elements, data
may be refreshed less frequently. Data

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elements should be updated with a
frequency necessary for the reliable
measurement of credit risk for the
particular portfolio or business line and
consistent with advanced credit risk
management practices.
Loan Sales
RS–38: Banks must maintain data to
allow for a thorough review of asset sale
transactions.
211. Asset sales may involve
exposures from a variety of portfolio
segments, and sale pricing may not be
available at a granular level. It is
important that the bank be able to
quantify the impact of removing a
portion of loans from risk segments
across the portfolio and the effect of
asset sale activity on loss mitigation
strategies. Documentation for these
transactions should be sufficient for
supervisors to determine how asset sale
activity affects the integrity of the IRB
risk segmentation method,
quantification, and the resulting capital
calculations.
Validation and Refinement
RS–39: Retained data must be
sufficient to support IRB validation
requirements.
212. Data should be sufficient to
facilitate the back-testing,
benchmarking, ongoing monitoring, and
developmental evidence aspects of the
validation process described in chapters
II and III.
Data Standards for Outsourced
Activities
RS–40: Banks must ensure that
outsourced activities performed by
third-party vendors are supported by
sufficient data to meet IRB
requirements.
213. Certain processes, such as loan
servicing, broker or correspondent
origination, collection, and asset
management, may be outsourced to or
otherwise involve third parties. The
necessary data capture and oversight of
risk management standards for these
portfolios and processes must be carried
out as if they were conducted internally.
Calculating Capital Ratios and Reporting
to the Public
RS–41: At each reporting period,
aggregate exposures across all risk
segments must be reconciled to ensure
that all exposures are accounted for
appropriately.
214. Data retained by the bank will be
essential for regulatory risk-based
capital calculations and public reporting
under the Pillar 3 disclosures. These
uses underscore the need for a welldefined data maintenance framework

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and strong controls over data integrity.
Total exposures should be tied to
systems of record, and documentation
should be maintained for this process
for all reporting periods.

architecture must be designed to be
scalable to allow for growth in
portfolios, data elements, history, and
product scope.

C. Managing Data Quality and Integrity

RS–45: If data gaps occur, banks must
specify interim measures to quantify
IRB risk parameters and must establish
a plan to meet the data maintenance
standards.
218. A data gap is the absence of key
data elements necessary for the design
and application of the bank’s risk
segmentation system, for the
quantification of the risk parameters, or
for validation of the segmentation and
quantification systems. One common
cause of data gaps is a merger or
acquisition. Merging or acquiring banks
must develop a plan for creating an
integrated IRB system. Data gaps may
also arise as banks make the transition
to full implementation of IRB systems.
219. As an interim measure, banks
should seek to obtain data from external
sources to supplement internal data
shortfalls. Alternatively, the reference
data sometimes may be drawn from
other sections of the portfolio, but only
when the business lines and loan and
borrower characteristics are sufficiently
similar. The bank must document any
transitional steps and should take an
appropriately conservative approach to
quantification when data gaps exist.
220. The level of effort placed on
filling data gaps should be
commensurate with the current and
anticipated volume of exposures to be
incorporated into the bank’s IRB system.

Documentation and Definitions
RS–42: Banks must develop and
document the process for ensuring data
integrity and for delivering, retaining,
and updating inputs to the IRB data
warehouse. Also, banks must develop
comprehensive definitions for the data
elements used for each credit group or
business line (a ‘‘data dictionary’’).
215. Banks must formalize how they
manage data. The full documentation of
a bank’s data management provides a
means of evaluating whether the data
maintenance framework is functioning
as intended. Moreover, banks must be
able to communicate precise definitions
of the items to be collected.
Consequently, every bank should
develop a ‘‘data dictionary’’ to ensure
consistent inputs from business units
and data vendors and to allow third
parties (such as auditors or bank
supervisors) to evaluate data quality and
integrity.
RS–43: Banks must maintain detailed
documentation on changes over time to
the risk segmentation system and the
quantification process, including data
elements, method, and supporting
processes.
216. When changes are made to risk
segmentation systems or the
quantification processes, the bank must
be able to determine how these changes
affect capital calculations. Detailed
documentation is necessary for the bank
to identify the sources of any significant
changes in the capital charges under
IRB.
Data Access and Scalability
RS–44: Banks must store data in a
format that allows timely retrieval for
analysis and validation of risk
segmentation methods and parameter
quantification processes. Data systems
must be scalable to accommodate the
growing needs of the business lines, the
centralized data functions, and risk
analysis over time.
217. Banks may have a variety of
storage techniques and systems to create
their data warehouses and data marts.
IRB data standards can be achieved by
unifying existing accounting, servicing,
processing, and workout and risk
management systems, provided the
linkages between these systems are well
documented and include sufficient edit
and integrity checks to ensure that the
data can be used reliably. The data

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V. Control and Oversight Mechanisms
A. Overview
221. Risk management processes and
controls, which are the foundation of
retail lending activities, are essential to
product development, pricing,
underwriting, account management
activities, portfolio performance
forecasting, and economic capital
modeling and long-term capital
planning. Banks will use similar
processes and controls to ensure the
accuracy of their segmentation,
quantification, and regulatory capital
levels.
RS–46: IRB banks must implement an
effective system of controls and
oversight.
222. This system must include
controls over lending activities,
independent review, transparency,
accountability, use of risk parameter
estimates for internal risk management
purposes, internal and external audit,
and board and senior management
oversight. Banks will have flexibility in

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how these elements are combined,
provided they incorporate sufficient
checks and balances to ensure that the
credit risk management system is
functioning properly.

223. IRB banks must have controls
and oversight to ensure the integrity of
the risk segmentation system and the
accuracy of the risk parameter estimates
used for determining regulatory capital
under the IRB framework. Table 5.1 lists

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the key components of an IRB control
and oversight system. These controls
can be combined or structured to
reinforce one another in a variety of
different ways.

TABLE 5.1.—CONTROL AND OVERSIGHT MECHANISMS
Controls over retail lending activities ..................

A structure and system of management and controls must be established to ensure credit
quality and data integrity.
Responsibilities and lines of authority should be documented in bank policy.
An independent review process must evaluate the integrity of the IRB risk segmentation system and quantification process.
The IRB retail credit risk system must be sufficiently transparent to enable third parties to understand key aspects of the segmentation system and quantification process.
IRB risk parameter estimates must be consistent with internal risk measurements that are
used to guide risk management activities and financial management.
Internal and external audit must assess the effectiveness of control and oversight mechanisms
and overall compliance with the IRB standards.
Ultimate responsibility for the performance of the IRB retail credit risk system rests with senior
management and the board.

Accountability ......................................................
Independent review .............................................
Transparency ......................................................
Use of risk estimates ...........................................
Internal and external audit ..................................
Board and senior management oversight ...........

B. Controls Over Lending Activities
RS–47: Banks must have an
independent risk management function
that provides oversight of retail lending
activities.
224. An independent risk
management function is not directly
involved in the credit decision process.
The group’s staff members should be
compensated principally on how
effectively they manage credit risk. The
risk management function should be
responsible for setting credit policies
and ensuring that credit standards are
followed. Retail credit review and
compliance management are functions
that should augment and support risk
management activities.
RS–48: Banks must have an effective
loan review function for retail credit
portfolios.
225. An effective loan review for retail
credit is an essential control for all IRB
banks. Loan review must be
independent of the lending process. The
numbers, experience, and knowledge of
personnel in loan review should be
commensurate with the complexity and
risk of the bank’s retail loan portfolios.
226. The scope of reviews should
provide an assessment of the quality of
risk management and quantity of risk in
retail loan portfolios. The frequency of
reviews should be based on the risk and
size of the portfolios. Reports should
clearly identify any concerns. Banks
should have a process for timely
resolution of issues and weaknesses
identified by loan review.
RS–49: A quality control function
must confirm that all retail lending
activities follow established policies.
227. The purpose of quality control is
to provide ongoing assurance that all
retail lending activities adhere to the

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bank’s policies and procedures. The
quality control program should monitor
and evaluate the integrity of credit
origination, account management, and
collection activities and should provide
timely feedback to senior management.
Without strong quality control systems
governing all aspects of the lending
process, the IRB retail credit risk system
can be significantly compromised.
228. The quality control function
should be formally established and
operate independently of the loan
production process, collections, and
servicing functions. The quality control
program should have established
operating procedures and stated
requirements for sample size and
selection. Coverage of this function
should include statistically valid
samples.
229. The quality control function
should generate monthly reports to
appropriate levels of management,
outlining findings and identifying
policy exceptions. This information
should be used to address weaknesses
in lending activities. The function
should seek corrective action as
necessary.
RS–50: Management information
systems (MIS) must be sufficiently
comprehensive to monitor and measure
credit quality and performance and to
allow proactive and effective risk
management.
230. Comprehensive MIS is needed to
support risk management. Reports
should measure risk for each stage of the
life-cycle for retail loans and provide
early warning of changes in risk
profiles. Front-end reporting generally
includes score distribution, score
overrides, exception reporting, and
other pertinent borrower and collateral
information. Ongoing portfolio MIS

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should provide information about the
overall risk profile, portfolio
performance, and the direction of risk,
including score distributions, changes
in score distributions, early default
analysis, and vintage analysis.
Collection reporting should include
delinquency roll rates, static pool cash
collection analysis, and data on volumes
and performance for workouts and loss
mitigation programs. Banks must have a
process to ensure that reports are
accurate and consistent.
RS–51: Adequate controls and
monitoring systems must be in place to
effectively supervise all third parties
involved in the lending process.
231. Vendor management should
include a process to identify, monitor,
manage, and control the risks posed by
third-party providers. Vendor
arrangements should be established
based on adequate due diligence and
should include written contracts that
outline duties, obligations, and
responsibilities of both parties. Banks
are expected to provide ongoing
oversight for third-party arrangements to
ensure that activities are conducted in a
safe and sound manner and in
compliance with the law. Underlying
controls should be the same as if the
bank were conducting the activity
directly.
232. Banks frequently use third
parties such as brokers, dealers, and
correspondents in the loan origination
process. While these sources of new
loans provide positive benefits, they
also warrant strong oversight. For loans
that involve brokers and dealers, banks
should ensure that adequate controls,
such as loan verification activities,
credit scoring, and the collateral
valuation process, exist over loan

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processing. Strong control processes
over brokers and dealers can help
ensure that underwriting decisions are
based on reliable information. For
correspondent originations, banks
should have adequate monitoring
systems in place to ensure that loans
meet the bank’s internal underwriting
requirements.
C. Accountability
RS–52: Bank policies must identify
individuals responsible for all aspects of
the retail IRB credit risk system.
233. Responsibilities and lines of
authority should be documented in
bank policy. Personnel should have the
tools and resources necessary to carry
out their responsibilities, and their
performance should be evaluated
against clear and specific objectives.
Individuals should be held accountable
for complying with applicable policies
and ensuring that those aspects of the
IRB system that are within their control
are unbiased and accurate.
D. Independent Review of Retail IRB
Processes
RS–53: Banks must have a
comprehensive, independent review
process that is responsible for ensuring
the integrity of the IRB risk
segmentation system and quantification
process.
234. The review process should be
independent of the individuals who
develop the underlying segmentation
systems and perform quantification
activities. The activities of this review
process could be distributed across
multiple areas or housed within one
unit. Organizations will choose a
structure that fits their management and
oversight framework. For example, the
independent review might be conducted
by loan review or other similar units,
subject to the independence
requirement above. Individuals
performing the reviews should possess
the requisite technical skills and
expertise.
235. The review should be conducted
at least annually and should encompass
all aspects of the process, including:
• Compliance with policies and
procedures;
• Design and effectiveness of the
segmentation system;
• Quantification process and
accuracy of parameter estimates;
• Model development, use, and
validation;
• Adequacy of data systems and
controls; and
• Adequacy of staff skills and
experience.
236. The review process should
identify any weaknesses, make

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recommendations, and ensure corrective
action. Significant findings of IRB
reviews must be reported to senior
management and the board.
E. Transparency
RS–54: IRB banks must have a
transparent retail IRB process.
237. Transparency is the ability of
third parties, such as loan reviewers,
auditors, and supervisors, to understand
the design, operations, and accuracy of
the risk segmentation system and
quantification process for retail IRB.
238. Transparency in the risk
segmentation system and quantification
process may be achieved through
documentation that covers the
following:
• The segmentation design, including
selection of risk drivers, use of refreshed
information, and granularity of
segmentation;
• Parameter estimates and the
processes used for their estimation,
including significant adjustments and
assumptions;
• Data requirements;
• Documentation for model
development, implementation, and
validation; and
• Specific responsibilities of and
performance standards for individuals
and units involved in the retail IRB
process and its oversight.
F. Use of Risk Estimates
RS–55: Retail IRB risk parameter
estimates must be consistent with risk
estimates used to guide day-to-day retail
risk management activities.
239. Banks must demonstrate that IRB
segmentation and IRB risk parameter
estimates are consistent with those used
by bank management in its planning,
execution, and oversight of retail
lending activities. Risk drivers for IRB
segmentation purposes should
correspond to risk drivers used as part
of the overall risk management of the
lines of business. IRB risk parameter
estimates of PD, LGD, and EAD should
be incorporated in credit risk
management, internal capital allocation,
and corporate governance. Banks should
compare actual default rates with PD
and actual dollar loss rates with internal
forecasts for each of the retail IRB
products.
G. Internal and External Audit
RS–56: Internal and external audit
must annually evaluate compliance
with the retail IRB capital regulations
and supervisory guidance.
240. Internal audit should report to
the board and management on the
bank’s compliance with the retail IRB
standards, including ones applicable to

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the segmentation system and estimation
of the IRB risk parameters. This report
will allow the board and management to
affirm that the risk segmentation system,
the quantification process, and the
surrounding controls are in compliance
with IRB standards. This will be critical
for public disclosure and ongoing
review by supervisors. As part of its
review of control mechanisms, internal
audit should evaluate the depth, scope,
and quality of the independent review
and quality control functions.
241. As part of the process of
certifying financial statements, external
auditors should, to the extent
appropriate under applicable auditing
and professional standards, ascertain
whether the IRB system is measuring
credit risk appropriately and confirm
that the bank’s regulatory capital
position is fairly presented. Auditors
should also evaluate, to the extent
appropriate under these standards, the
bank’s internal control functions
relating to regulatory capital and its
compliance with the risk-based capital
regulation and supervisory guidance.
H. Corporate Oversight
RS–57: The full board or a designated
committee of the board must review and
approve key elements of the IRB system.
RS–58: Senior management must
ensure that all components of the IRB
system, including controls, are
functioning as intended and comply
with the risk-based capital regulation
and supervisory guidance.
242. Senior management’s oversight is
expected to be more active than that of
the board of directors. Senior
management must have an extensive
understanding of credit policies,
underwriting standards, and account
management activities (including
collections) and must understand how
these factors affect the IRB risk
segmentation system, risk-parameter
estimates, and data maintenance
requirements.
243. The depth and frequency of
information provided to the board and
senior management must be
commensurate with their oversight
responsibilities and the condition of the
bank. The board should be provided
with periodic high-level reports
summarizing the performance of the
retail IRB credit risk system. Senior
management should receive more
detailed reports covering topics such as:
• Risk profile by retail portfolio;
• Actual losses by risk segment
compared with the IRB risk parameter
estimates (PD, LGD, and EAD), with
emphasis on unexpected results;
• Changing portfolio trends and risks;

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• Reports measuring changes in
regulatory and economic capital;
• Reports generated by the
independent review function, quality
control, audit, and other control units;
and
• Results of capital stress testing.
244. Although all of a bank’s controls
must function smoothly, independently,
and in concert with the others, the
direction and oversight provided by the
board and senior management is critical
to ensuring that the IRB system is
functioning properly.
245. For retail portfolios that are
managed across legal entities, the board
of directors and senior management of
each insured depository institution
must have sufficient information about
its exposures to accurately assess and
report on its own risk.
246. Senior management should
confirm that activities conducted across
multiple legal entities meet the
following conditions:
• Products are managed centrally
using consistent policies;
• Segments that cross multiple legal
entities meet the requirements of
chapter II to ensure that they have
homogeneous risk characteristics;
• Exposures outside the United States
are not grouped with domestic
exposures; and
• Validation and back-testing
activities include the additional step of
ensuring that minimum capital
requirements for each entity are
accurate.
Appendix A: Process Analysis
Examples
Example 1: A Seamless Application of the
Four Stages of Quantification (See Paragraph
70)
Consider a bank that has been making
indirect installment loans through furniture
stores for a number of years. Seven years of
internal data history are available, over a
period including a significant recession. The
bank has segmented this portfolio over the
whole period in a consistent manner: by
bureau score, internal behavioral score, and
monthly disposable income. In addition,
LGDs for this portfolio have demonstrated
significant cyclical variability over the period
covered by the bank’s data history.
The bank can empirically show that the
participating furniture retailers, underwriting
criteria, and collection practices have
remained reasonably stable over the sevenyear period, and the definition of default has
been consistent with the IRB definition.
However, there are frequent changes in the
bank’s products and in the borrowing
population that affect the risk characteristics
of its loans, so the bank uses only the most
recent seven-year data history as new data
become available (assuming that the data
includes a period of recession).
The PD is calculated as the average of the
seven annual PDs. The LGD is the loss

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severity observed during periods when credit
losses for this type of product have been
high. The EAD for non-defaulted loans is
calculated as the outstanding loan amount at
the time of capital measurement plus any
accrued but unpaid interest and fees.
In this example, the four stages have not
been explicitly mentioned or applied.
Nonetheless, at the level of detail presented
(which is clearly somewhat simplified), the
quantification appears to satisfy most of the
standards in the chapter (subject, of course,
to validation).
If the bank desires, it can put its
quantification into the following four-stage
framework:
a. The bank’s own historical data serve as
the reference data;
b. Estimation consists of calculating the
historical average PD, the recessionary LGD,
and the outstanding balance by segment;
c. Mapping consists primarily of ensuring
that the segmentation schemes and the
definition of default are consistent between
the reference data portfolios and the bank’s
existing portfolios; and
d. Application is a matter of using the risk
parameter estimates from the reference
portfolios for each segment of the existing
portfolios in the regulatory capital formulas.
Thus, as discussed in the main chapter
text, the four stages of quantification are not
intended as a set of rigid requirements that
must be followed in every detail in all
circumstances. Rather, they should be seen as
a conceptual framework, and as an analytical
and implementation guide for those
institutions whose data histories,
institutional circumstances, or unusual
complexities require the greater detail and
specificity.
Example 2: Quantification of the PD for FirstLien Mortgages (See Paragraph 106)
a. For the past four years a mortgage
portfolio has been concentrated in a less
risky geographic region than the historical
portfolio, whose data history goes back
several more years. The bank analyzes
external mortgage data by geographic region
over the same time period to identify regional
differences in default rates. Analysis of the
reference data indicates similar regional
differences.
b. The recent four-year period does not
include a period of stress, so the bank uses
its full internal data history to encompass a
period of stress. To estimate the PD
parameter over a long run of data history that
is also comparable to the current portfolio,
the bank develops a statistical model of the
PD over combined internal and external
performance history. The variables used as
PD predictors included geographic region,
loan and borrower risk characteristics, loanto-value ratios, and lagged mortgage
foreclosure rates by region. With this model
the bank claims that it is able to fully utilize
its 13-year history of internal data as well as
take into account the effects of the more
recent geographic change in its portfolio.
Process Analysis for Example 2:
Data—The existing portfolio of first-lien
mortgages is segmented by LTV, credit score,
tenor, fixed-rate vs. ARM, and debt-toincome ratio. For a given segment, the bank

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62771

has good historical data from its own
portfolio. The reference data consist of nine
years of lifetime internal performance history
for loans originated between 1990 and 1999,
which are concentrated within the riskier
geographic region, plus four years of recent
internal history (2000–2003). The internal
data is supplemented by external regional
mortgage data over the full 13-year history
(1999–2003).
Estimation—The bank builds a statistical
model that estimates PD as a function of
regional foreclosure rates for the previous
two quarters, the loan-to-value ratio, credit
score, debt-to-income ratio, loan tenor, and
geographic region, and it builds separate
models by product type (e.g., fixed-rate vs.
ARM). A similar model of LGD is estimated
using a regression model that incorporates
economic factors. An LGD estimate reflective
of periods of high credit losses in the
mortgage market is produced by stressing the
economic factors in the model. The model
results are robust in terms of the standard
statistical diagnostic tests. The model has
continued to perform satisfactorily in
validations outside the development sample.
Mapping—Since the 1990–1999 period, the
bank has shifted much of its first-lien
mortgage business to a different region of the
country, one that historically has
experienced lower default rates. The bank
segments its portfolio by region and borrower
and loan characteristics utilized in the model
to produce a long-run average PD estimate by
region, so as to take the lower regional
default rates into account. An ‘‘economic
downturn’’ LGD is also calculated by the
same segmentation. Therefore, in mapping
from the reference data to its existing
portfolio data the bank assigns the average
PD and the economic downturn LGD per
segment of exposures in the existing
portfolio, as estimated by the models.
Application—The bank will now apply the
regression models to its existing portfolio to
estimate the PD and LGD values for each
segment in the first-lien mortgage portfolio.
It will measure EAD for non-defaulted loans
as the present outstanding balance per
segment plus any accrued but unpaid interest
and fees. Then it will enter the three risk
parameters into the IRB mortgage formula to
assess the minimum required regulatory
capital for each segment.
Example 3: PD Estimation From Dollars
Defaulted and Present Portfolio Value (See
Paragraph 108)
Paragraph 101 defines PD in terms of
accounts, not dollars: the number of
defaulted accounts during the course of a
year divided by the number of accounts open
at the beginning of the year. This example
discusses issues involved with methods that
attempt to derive PD from dollar loss rates.
If a bank chooses to derive a PD in this
manner, the bank will need to consider a
variety of factors to ensure that the PD
estimate is an accurate reflection of the
expected rate of defaults on an account basis.
a. A credit card bank directly measures its
average dollars of economic losses for each
segment and uses the percentage of dollars
defaulted, rather than as the percentage of
loans defaulted, as the estimate of PD.

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Specifically, the ratio employed is the gross
loss divided by the exposure at default. The
gross loss (before recovery) is directly
measured on a segment of accounts over a
one-year time horizon. The bank estimates
exposure at default (EAD) for a segment as
the current outstanding balances plus the
expected drawdowns on open balances if all
accounts default (including accrued but
unpaid interest and fees at the time of
default).
b. The bank’s risk segmentation system
separates exposures by size of credit line and
credit line utilization as well as by credit
score. If the segmentation appropriately
controls for current balances and credit lines,
then it should produce accurate estimates of
Account
PD
1.0% .........
1.0% .........

Average
balance
per
account

Average
credit
line per
account

$225
$285

Number
accounts in
segment

$600
$760

1.0% .........
1.0% .........

Average
balance
per
account

Average
credit
line per
account

$150
$300

Total outstanding
balance

2,000
2,000

The reason for this discrepancy can be
found in the granularity of the bank’s
segmentation process. By grouping together
all loans with account PD equal to 1%, the
bank is combining loans with significantly
different average balances per account and
average credit lines. They are also using an
estimate for LEQ (0.7) based on historical
data for particular portfolios of loans with PD
equal to 1% that is not accurate for portfolios
Account
PD

both PD and EAD. The bank regularly
validates the accuracy of the EAD estimates
and the consistency of the percentage-ofdollars-defaulted measure with the account
default rate.
Process Analysis for Example 3:
Data—The historical reference data consist
of measurements of the outstanding dollar
balances and open credit lines at the
beginning of the year. For accounts that
defaulted over the following year the gross
defaulted balances are also measured. The
aggregate dollar amounts are measured for
each segment.
Estimation—The bank’s dollar PD
parameter is estimated as the long-run
average of the one-year PDs. Each one-year

$450,000
$570,000

Total
undrawn
lines
$750,000
$950,000

$400
$800

Total outstanding
balance

1,000
1,000

$150,000
$300,000

Total
undrawn
lines

70%
70%

Estimated
EAD
$975,000
$1,235,000

Gross
loss
$9,750
$11,550

Gross
loss/EAD
1.0%
0.94%

weighted average of the two different
segment values. Because the LEQ estimate is
the weighted average of the two segment
LEQs, then as long as the distribution of
accounts between the two segments remains
steady the Gross Loss/EAD measure shown in
the first table equals 1% and is equivalent to
the account PD.

Estimated
percent
drawdown
(LEQ)

$250,000
$500,000

90%
60%

Estimated
EAD

Gross
loss

Gross
loss/EAD

$375,000
$600,000

$3,750
$6,000

1.0%
1.0%

$975,000

$9,750

1.0

Weighted
Average LEQ

Aggregated 1% PD Segment
1.0% .........

Estimated
percent
drawdown
(LEQ)

with different distributions of loans by
outstanding balances and credit lines.
This can be seen by looking at a finer
segmentation of the portfolios. In the table
below, the segment from the top row in the
previous table is divided more finely, by
average balance and credit line. The
historically estimated LEQs differ
significantly between the segments, and the
0.7 LEQ in the previous table represents a

Number
accounts in
segment

PD is measured as the gross balances of
defaulted loans divided by the estimated
EAD. The following example illustrates why
granular segmentation by balance and credit
line can be important. In the first row of the
following table, all loans with account PD
equal to 1% are grouped together in a single
segment. Using an estimatedLEQ of 0.7
derived from historical reference data, the
Gross Loss / ED measure equal 1% and is
equivalent to the account PD. In the second
row of the table however, although all loans
with account PD equal to 1% are still
included in the segment, the Gross Loss/EAD
measure has fallen to 0.94% and is therefore
no longer an acceptable proxy for the account
PD.

$225

$600

2,000

In the next table, the larger segment (from
the second row in the first table above) is
divided into two finer segments in the same
manner as previously. In fact, the average
balances, average lines, and LEQs are all the

$450,000

$750,000

70%

same as in the previous case. The only
change is in the proportion of accounts in
each segment. However, by using the LEQ of
0.7 derived from the coarser segmentation,
the bank estimated Gross Loss/EAD as 0.94

in the second row of the first table. The finer,
more accurate, weighted LEQ of 0.62
produces a Gross Loss/EAD measure of 1.0%,
equivalent to the account PD.

SEGMENTATION BY PD, BALANCE AND CREDIT LINE
Account
PD
1.0% .........
1.0% .........

Average
balance per
account

Average
credit line
per account

Number
accounts in
segment

$150
$300

$400
$800

200
1,800

Total outstanding
balance
$30,000
$540,000

Total
undrawn
lines
$50,000
$900,000

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15:47 Oct 26, 2004

90%
60%

Estimated
EAD

Gross
loss

Gross
loss/
EAD

$75,000
$1,080,000

$750
$10,800

1.0%
1.0%

$1,155,000

$11,500

1.0%

Weighted
Average LEQ

Aggregated 1% PD Segment
1.0% .........

Estimated
percent
drawdown
(LEQ)

$760

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Thus we see that, with the proper
segmentation criteria and sufficiently
granular segmentation, the Gross Dollar Loss/
EAD measure can produce a PD that is
equivalent to the correct account PD. If a
bank were to use the coarser segmentation
shown in the first table (i.e., all accounts
with account PD=1), the bank would have to
carefully monitor the changes in distribution
of accounts within this broader segment and
Number
total
accounts

Number
defaulted
accounts

1000
1000

20
20

2.0%
2.0%

Example 4: PD Quantification With
Adjustments for Seasoning (See Paragraphs
109–112)
a. PDs for a bank’s credit card portfolio
exhibit a characteristic time profile by age—
a seasoning curve. As a result of the bank’s
analyses, the shape of this seasoning curve
has been established by specific products and
borrower credit quality at origination
utilizing data from vintages over the last five
years. The bank regularly analyzes new
vintages to capture changes in the
characteristic time profile of PDs over
changing economic and market
environments. Systematic changes are
incorporated into new seasoning curves.
b. The risk segmentation system criteria for
seasoned and unseasoned loans include
updated account age, or ‘‘time on books.’’
c. For unseasoned loans, if seasoning
effects are material, the PD is estimated as an

15:47 Oct 26, 2004

Total
beginning
outstanding
balances

Account
PD

As shown in the table, if balances on
accounts that default are higher than
balances on those that do not (which is the
more common situation), then the Gross
Losses/Outstanding Balances measure will
overestimate PD. Conversely, if defaulted
accounts have lower balances, the Gross
Loss/Outstanding Balances measure will
underestimate PD.
Mapping—To develop a risk segmentation
system that produces homogeneous and
stable segments, the bank identifies the
drivers of both default risk and drawdowns
and then segments by these drivers. The
mapping would involve linking segments in
the reference data to segments in the present
portfolio using the same risk segmentation
system. However, during recessionary
periods, the bank monitors changes in the
market and economic environment that could
change the relationships between default risk
and drawdowns and the underlying drivers
of these risks. If there were systematic
changes, then the risk segmentation system
would need to be updated.
Application—The application is generally
a straightforward, direct application of
estimates from segments in the reference data
to segments in the existing portfolio.
Estimates would be adjusted if the default
risk were expected to change systematically
from previous periods, for example, because
of a trend toward higher credit lines.

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update the weighted average LEQ on a timely
basis. Given how rapidly portfolio
composition can change in credit card
markets, this may be a challenging task.
Note: Another method of calculating the
PD from dollar measurements used at some
institutions is to estimate the PD for a
segment as the accumulated gross losses at
the end of a one-year period divided by the

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Average
beginning
balance
non-defaulted
accounts

$1,000,000
$1,000,000

outstanding balances at the beginning of the
year. This does not provide an estimate
equivalent to an account default rate if initial
balances on accounts that eventually default
are significantly different from those that do
not default, which is generally the case.
Consider the examples in the following table.
(For simplicity, these examples assume there
is no amortization of principal over the year.)

Average
beginning
balance
defaulted
accounts

$1.005
$995

annualized cumulative default rate over the
remaining expected life of the loans. For
seasoned loans the PD should simply be
measured as a long-run average of the oneyear-ahead PDs.
Process Analysis for Example 4:
Data—The main reference data consists of
five years (or more) of portfolio history.
Segments are defined by updated borrower,
product, and loan characteristics including
account age. Supplemental reference data
consist of vintage analyses of similar
products originated within the same time
period, providing seasoning curves specific
to borrower credit quality at origination,
product, and loan type. Given the level of the
annualized default rate observed in the early
history of a cohort, the historical seasoning
curves should indicate the trend that PDs
follow over the remaining expected life of the
loans.
The bank presents analyses indicating that
the seasoning curve can be reasonably
specified by borrower credit quality at
origination and carefully monitors new
cohorts for any deviation of the time profile
of one-year PDs from the corresponding
seasoning curve.
Estimation—For seasoned loans, a long-run
average PD is calculated for each segment by
updated borrower, product, and loan
characteristics, including loan age. For
unseasoned loans, the PD is the estimated
annualized cumulative default rate over the
remaining expected life of the loans.
Mapping—The risk segmentation system of
the present portfolio is the same as that
employed for the reference data. This makes
the mapping straightforward along the lines
of refreshed borrower credit quality.
However, the bank should ensure while
mapping that the product characteristics in
the reference data are mapped to equivalent
product characteristics in the present
portfolio.
Application—At the application stage, the
long-run PD estimated from the reference
data may simply be applied to the matching
segments in the existing portfolio.

$750
$1,250

Total
gross
losses

Gross Losses/
beginning
outstanding
balances

$15,000
$25,000

1.5%
2.5%

historical data is not available for an entire
portfolio. The bank may be able to identify
sub-samples within its portfolio that
experienced increased default rates during
the available length of history, even though
the aggregate portfolio may not have realized
such a trend. For example, data may be
available from local or regional recessions in
New England (late 1980s and 1990–1995),
Texas (1983–1989), or California (1991–
1995). The bank must be able to demonstrate
that the drivers of high default rates in these
regional recessions can be extrapolated to the
entire portfolio as well as justify and
document any resulting adjustments that
would be necessary in the mapping and
application stages.
Example 2 From General Standards (See
Paragraphs 93 and 130 and Standard RS–14)
At least two common types of mapping
challenges may arise in regard to PD, LGD,
and/or EAD quantification:
a. First, even if similarly named
characteristics are available in the reference
data and portfolio data, they may not be
directly comparable. For example, in a
portfolio of auto loans, the particular types of
auto loans (for example, new or used, direct
or indirect) may vary from one application to
another. Hence, a bank should ensure that
linked characteristics are truly similar.
Although adjustments to enhance
comparability can be appropriate, they must
be rigorously developed and documented.
b. Second, levels of aggregation may vary.
For example, the reference data may only
broadly identify collateral types—say, broad
categories of automakers. The bank’s
information systems for its portfolio might
supply more detail such as auto makes and
models plus the age and condition of
vehicles. To apply the estimates derived from
the reference data, the bank may regroup the
existing portfolio in order to match broader
aggregations in the reference data.

Appendix B: Technical Examples

Example 3 From the PD Estimation
Standards (See Paragraph 107)

Example 1 From General Standards (See
Paragraph 91 and Standard RS–13)
The following example illustrates one
possible solution when sufficient internal

The following examples illustrate possible
PD estimation methods that might appear in
bank practice and potential problems with
some methods:

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Example 3a: Adjustments When PDs Are
Measured Over a Shorter Time Horizon and
Then Annualized
In practice the account default rate may be
estimated at a monthly or quarterly rate and
‘‘annualized’’ to produce the equivalent
yearly default rate. However, this annualized
rate may not be accurate over a one-year
horizon if the bank does not track loans that

migrate within the year. For example,
consider a segment with very high credit
quality—call it the ‘‘superprime’’ segment.
Over the year, many accounts that default
have first migrated to lower credit quality
segments at stages during the year. So,
annualizing the quarterly default rate for the
‘‘superprime’’ portfolio would be an
underestimate of the true one-year default

rate. The PD should be measured from actual
portfolio performance of all loans in the
bucket over a full one-year horizon.
The following example presents this issue.
The quarterly transition rates between the
three non-default rating classes
(‘‘superprime,’’ ‘‘prime,’’ and ‘‘subprime’’)
and the transition rates into default are listed
below:
Beginning of quarter

Superprime
End of Quarter:
Superprime ...............................................................................................
Prime ........................................................................................................
Subprime ..................................................................................................
Default ......................................................................................................

A particular segment is 100% superprime
at the beginning of a one-year time horizon.
Over each quarter some accounts migrate into
lower quality states with correspondingly
higher default rates. As a result of this
migration, the population distribution among
the rating classes changes over each quarter.
The Superprime, Prime, and Subprime
columns of the following table show the

94%
5%
1%
0.1%

changing distribution for these loans that
were all superprime as of January 1. For
example, at the end of the second quarter,
only 88% of the surviving loans remain
superprime, 9% are now prime, and 2% are
subprime.
The last column represents the cumulative
default rate for these formerly Superprime
loans. That is, at the end of the second
Superprime
(percent)

Time

Prime

Subprime
2%
94%
3%
1%

Default

1%
3%
95%
2%

0
0
0
100%

quarter 0.26% will have defaulted; at the end
of the third quarter, 0.49% will have
defaulted, and at the end of the year, a total
of 0.77% of the original all-Superprime
segment will have defaulted, which is
substantially higher than four times the
quarterly default rate, or 0.4%.11

Prime
(percent)

Subprime
(percent)

Default
(percent)

January 1 .........................................................................................................
End of Quarter 1 ..............................................................................................
End of Quarter 2 ..............................................................................................
End of Quarter 3 ..............................................................................................

100
94
88
83

0
5
9
13

0
1
2
3

0
0.10
0.26
0.49

End of Quarter 4 ..............................................................................................

78

17

4

0.77

Note that this illustration assumes that the
transitions from one quarter to the next are
the same for each quarter throughout the
year. In practice, they may vary from quarter
to quarter for many reasons.
Example 3b: Portfolio Growth and the Timing
of Default Measurements
The method and timing of the
measurement of portfolio growth and
defaulted accounts for a pool can also bias
the PD estimates. Defaulted accounts would

be measured at year-end and should not
include accounts opened within the year.
The total number of accounts should be
measured at the beginning of the year. When
the total number of accounts is measured
concurrently with the number of defaulted
accounts, if the total pool size increases
(decreases) substantially over the one-year
observation period, the PD could be
underestimated (overestimated) substantially.
In the following example, the portfolio
shows four alternative growth rates over one
Total portfolio accounts

Annual portfolio growth rate
Start of year
¥5% ....................................................................................
¥10% ..................................................................................
5% ........................................................................................
10% ......................................................................................

End of year

1,000,000
1,000,000
1,000,000
1,000,000

year: (1) The portfolio shrinks by 5 percent,
(2) the portfolio shrinks by 10 percent, (3) the
portfolio grows by 5 percent, or (4) the
portfolio grows by 10 percent:
The portfolio starts at the beginning of the
year with 1 million accounts and $100
million in outstanding balances, or an
average of $100 per account. For simplicity
it is assumed that the PD and average account
balance remain constant over the year while
the number of accounts changes.
Accounts
defaulted
by end
of year

950,000
900,000
1,050,000
1,100,000

20,000
20,000
20,000
20,000

PD front
start of year
portfolio
2.0
2.0
2.0
2.0

PD from end
of year portfolio
(percent)
2.1
2.2
1.9
1.8

Note: It is assumed that all 20,000 defaults that occurred during the year were accounts that were part of the portfolio on January 1. The
Other Retail risk weight curve was used for this example, and LGD is assumed to be 90% in all four cases.

11 The cumulative default rate is the sum of the
defaults at the end of the previous period plus new
defaults during the period just ended. The new
defaults are determined as the sum of the
proportions of loans in each rating category times
the respective default rate for that category. For

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example, at the end of the second quarter, the new
defaults equal the 94% of the loans that were still
Superprime at the beginning of the period times the
Superprime default rate of 0.1% plus the 5% of
loans that had become Prime times the Prime
default rate of 1%; plus the 1% of loans that had

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become Subprime times the Subprime default rate
of 2%. This yields a default rate during the second
quarter of 0.25%, which is added to the 0.1%
default rate from the end of the first quarter to
produce a cumulative rate of 0.26% at the end of
the second quarter.

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This example shows clearly how the use of
the end-of-year portfolio size, rather than the
number of accounts that were open at the
beginning of the year, produces significant
misestimation of PD, which should equal
2.0% in all four cases.
Example 4 From the PD Estimation
Standards (See Paragraph 102)
A bank uses the last five years of internal
default history to estimate a long-run average
PD for each pool of retail exposures.
However, it recognizes that the internal
experience does not include any years of
portfolio stress. To remedy this and still take
advantage of its experience, the bank uses
external loss data to adjust the PD estimates
upward in the years of economic downturn
or systematic economic stress. (An example
of an external data source would be historical
mortgage default data purchased from a
vendor.). Using the external data, the bank
creates an index by calculating the ratio
between each year’s mortgage default rate per
pool and the long-run average rate per pool
of exposures over the last five years, both
from the external data. The bank assumes
that the relationship observed in the external
data applies to its own mortgage portfolio,
and it uses the index to adjust the estimates
for the internal data accordingly. If the bank

A bank determines that a business unit
forms a homogeneous pool for the purposes
of estimating loss severity. That is, although
the loans in this pool may differ in some
respects, the bank determines that they share
a similar loss experience in default. The bank
must provide reasonable support for its claim
through an analysis of lending practices and
available internal data. If it does so
convincingly, a common pool across a
business unit is consistent with the standard.

In another example, a bank segments its
default data in a credit card business unit by
a number of borrower, loan, and product
characteristics. Although the available
internal historical evidence indicates a
higher LGD, the bank judgmentally assigns a
loss severity of 70 percent to a particular
prime pool. The bank justifies this reduction
in the LGD by claiming that it will do a better
job of following policies for monitoring credit
card performance in the future, for example,
repricing accounts to generate more income
and monitoring lines for problem accounts.
Such an LGD adjustment is not appropriate
because it is based on anticipated future
performance rather than realized
performance.

Example 6 From the LGD Estimation Section
(See Paragraphs 127–129)

Example 7 From the LGD Estimation
Standards (See Paragraphs 127–129)

A bank divides observed defaults in the
reference pool according to geographic region
and loan-to-value in a mortgage portfolio.
One of the pools has too few observations to
produce a reliable estimate. By augmenting
the loss data in this pool with data from other
pools (for example, neighboring geographic
regions with the same LTV), the bank
calculates an estimate of the severity. The
bank must validate, justify, and document
the accuracy of this proxy value.

Timing of Defaults and Recoveries.
A bank measures recovery rates over time
for a business line by loan characteristics.
The recoveries are measured as an aggregate
stream of cash inflows monthly or quarterly
from all defaulted loans on book and not
based on recoveries from a fixed group of
defaulted loans. Collection costs are assessed
as a proportion of the defaulted balances.
Therefore loss severity rates are measured in
the aggregate as:

Example 5 From the LGD Estimation
Standards (See Paragraphs 127–129)

(defaulted balances − discounted recoveries net of collections costs)
(defaulted balances)

where all dollar values are measured
concurrently.
If defaulted balances are approximately
constant over time, this method does not
create any problems. However, when
defaulted balances change over time, the
bank should adjust for changes in the volume
of defaulted accounts, since the use of

recoveries from a prior group of defaulted
accounts could underestimate the loss
severity when aggregate defaulted balances
were higher in a previous period, and
overestimate them when defaulted balances
were lower in a previous period.
The following example demonstrates how
the loss severity can be underestimated
One-year
default rate

Portfolio balances (EAD)

$1,000,000 ...............................................................................................................
1,000,000 .................................................................................................................
1,000,000 .................................................................................................................
1,000,000 .................................................................................................................

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2.00%
1.80
1.60
1.20

during periods of decreased defaulted
balances when the loss severity is measured
as the present defaulted balances minus
recoveries from the previous period’s
defaulted balances (using a fixed 30 percent
recovery rate) divided by the current period’s
defaulted balances.*

Defaulted
balances

$Recoveries
30% net discounted recovery rate

$20,000
18,000
16,000
12,000

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$6,000
6,000
5,400
4,800

Measured loss
severity
(True LGD
= 70%)
70%
67
66
60

EN27OC04.002</GPH>

LGD =

rigorously validates, justifies, and documents
these adjustments, it would satisfy the
standard.

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Thus, while an accurate measure of LGD
would remain constant at 70% over the
entire four-year period, this example shows
how the use of the current year’s defaulted
balances, during a period when these
balances are trending downward, leads to
underestimates of LGD that grow more
significant each year.

Example 8: The Effect of the Purchase
Discount on EAD and LGD (see paragraph
138)
Suppose a bank buys a QRE portfolio at a
5 percent discount. Assuming that PD and
recoveries remain unchanged, EAD and LGD
both change because of the discount. The
discount does not act as a reserve against EL
or as a capital offset against UL. For the
purchasing bank, the newly purchased
portfolio is initially put on the books (EAD)
at the discounted price the bank paid. The EL

and UL numbers would change from those of
a portfolio bought or originated at par as
follows:

Recoveries ........................................
Asset face value ...............................
Asset correlation ...............................
PD .....................................................

No discount
EAD ..............................................................................................................................................................................
Loss = EAD ¥recovery ...............................................................................................................................................
LGD = Loss/EAD .........................................................................................................................................................
EL = PD × LGD × EAD ................................................................................................................................................
UL (capital) per $ of EAD ............................................................................................................................................
IRB capital = UL per $ × EAD .....................................................................................................................................

List of Acronyms
ALLL Allowance for loan and lease loss
EAD Exposure at default
EL Expected loss
FFIEC Federal Financial Institutions
Examination Council
GAAP Generally Accepted Accounting
Principles
HELOC Home Equity Line of Credit
IRB Advanced internal ratings-based
approach (Basel II)
K Unexpected loss capital requirement
LEQ Loan equivalent exposure
LGD Loss given default
LTV Loan-to-value ratio
MIS Management Information Systems
PD Probability of default

PMI Private Mortgage Insurance
QIS Quantitative Impact Study
QRE Qualifying revolving retail exposures
R Asset value correlation (AVC)
RS Retail Standard
RWA Risk-weighted assets
UL Unexpected loss
Dated: October 15, 2004.
Julie L. Williams,
Acting Comptroller of the Currency.
By order of the Board of Governors of the
Federal Reserve System.
Dated: October 15, 2004.
Jennifer J. Johnson,
Secretary of the Board.

16:24 Oct 26, 2004

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5% discount

$100
50
50.0
2.50
4.87
4.87

$95
45
47.4
2.25
4.61
4.38

Dated at Washington, DC, this day of
October 18, 2004.
Robert E. Feldman,
Executive Secretary.
By the Office of Thrift Supervision.
Dated: October 14, 2004.
James T. Gilleran,
Director.
[FR Doc. 04–23771 Filed 10–26–04; 8:45 am]
BILLING CODE 4810–33–P; 6210–01–P; 6714–01–P;
6720–01–P

By order of the Board of Directors.

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$50
100
4
5

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