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F ederal R eserve Bank
of

Dallas

ROB ERT D. M cTEER , JR.
DALLAS, TE XAS

P R E S ID E N T

75265-5906

AN D C H IE F E X E C U T I V E O F F I C E R

July 13, 1998
Notice 98-57

TO: The Chief Executive Officer of each
financial institution and others concerned
in the Eleventh Federal Reserve District

SUBJECT
Final Report of the System Task Force on
Internal Credit Risk Models
DETAILS
The Board of Governors of the Federal Reserve System has issued the final report of
the System Task Force on Internal Credit Risk Models. The task force was created to assess
potential uses of internal credit risk models within the supervisory and regulatory processes. The
report describes current uses of internal models by major U.S. banking organizations and out­
lines possible uses of the models for assessing bank capital adequacy.
The report concludes that significant difficulties exist regarding model construction,
data availability, and model validation procedures. Due to these difficulties, near-term uses of
the models within the regulatory process are limited. However, the report also concludes that
models may, over a longer term, become useful in at least the following two roles:
1. The development of specific and practical examination guidance for assessing the
capital adequacy of large complex organizations, and
2. The setting of regulatory capital requirements against selected instruments that
have largely evolved after adoption of the Basle Accord on risk-based capital,
such as credit enhancements supporting securitization programs.
ATTACHMENT
A copy of the executive summary of the report is attached. The full report is avail­
able upon request from Publications Services, Mail Stop 127, Board of Governors of the Federal

For additional copies, bankers and others are encouraged to use one of the following toll-free numbers in contacting the Federal
Reserve Bank of Dallas: Dallas Office (800) 333-4460; El Paso Branch Intrastate (800) 592-1631, Interstate (800) 351-1012;
Houston Branch Intrastate (800) 392-4162, Interstate (800) 221-0363; San Antonio Branch Intrastate (800) 292-5810.

This publication was digitized and made available by the Federal Reserve Bank of Dallas' Historical Library (FedHistory@dal.frb.org)

Reserve System, Washington, DC 20551. The report is also available on the Board’s Web site
(under “regulation and supervision”) at <www.bog.frb.fed.us>.
MORE INFORMATION
For more information, please contact Dorsey Davis at (214) 922-6051. For additional
copies of this Bank’s notice, contact the Public Affairs Department at (214) 922-5254.
Sincerely yours,

I

May, 1998
Executive Summary
Credit Risk Models at Major U.S. Banking Institutions:
Current State of the Art and Implications for Assessments of
Capital Adequacy
Federal Reserve System Task Force on Internal Credit Risk Models

I. Background and Conclusions
Supervisors have long recognized two shortcomings in the Basle Accord’s risk-based
capital (RBC) framework. First, the regulatory measures of “capital” may not represent a bank’s
true capacity to absorb unexpected losses. Deficiencies in loan loss reserves, for example, could
mask deteriorations in banks’ economic net worth. Second, the denominator of the RBC ratios,
total risk-weighted assets, may not be an accurate measure of total risk. The regulatory riskweights do not reflect certain risks, such as interest rate and operating risks. More importantly,
they ignore critical differences in credit risk among financial instruments (e.g., all commercial
credits incur a 100 percent risk-weight), as well as differences across banks in hedging, portfolio
diversification, and the quality of risk management systems.
These anomalies have created opportunities for regulatory capital arbitrage that are
rendering the formal RBC ratios increasingly less meaningful for the largest, most sophisticated
banks. Through securitization and other financial innovations, many large banks have lowered
their RBC requirements substantially without reducing materially their overall credit risk
exposures. More recently, the September, 1997, Market Risk Amendment to the Basle Accord
has created additional arbitrage opportunities by affording certain credit itisk positions much
lower RBC requirements when held in the trading account rather than the banking book.
With the formal RBC ratios rendered less useful, judgmental assessments of capital
adequacy through the examination process necessarily have assumed heightened importance. Yet,
this process, too, has become more problematic as regulatory capital arbitrage has made credit risk
positions less transparent. While examination assessments of capital adequacy normally attempt
to adjust reported capital ratios for shortfalls in loan loss reserves relative to expected future
charge-offs, examiners’ tools are limited in their ability to deal effectively with credit risk —

measured as the uncertainty of future credit losses around their expected levels.
In contrast to the Accord’s one-size-fits-all approach to RBC, many of the largest banks
have developed sophisticated methods for quantifying and internally allocating capital against
credit risks. Analogous to trading account VaR models, internal credit risk models are used in
estimating the economic capital needed to support a bank’s credit activities. These economic
capital allocations, in turn, are used in measuring the risk-adjusted performance of various
activities, determining risk-based prices for credit services, and setting portfolio exposure and
concentration limits. Besides their applications in economic capital allocation systems, credit risk
models also are used by some banks in day-to-day portfolio risk management.
The System Task Force on Internal Credit Risk Models was created to assess potential
uses of banks’ internal credit risk and capital allocation models within the supervisory process.
This report surveys the state-of-the-art in the design and implementation of credit risk models,1
and presents preliminary conclusions regarding potential regulatory and supervisory uses of these
models.
Briefly, the Task Force’s preliminary conclusions are summarized below. With regard to
formal regulatory capital requirements for credit risk, the Task Force believes that while
improvements in credit risk modeling are occurring rapidly, a number of important challenges
must be addressed before adopting an internal models approach to RBC for the banking book — as
a replacement for the Basle Accord for large, complex banking organizations. Among these
issues are (a) supervisory determination of “acceptable” conceptual framework(s) (e.g., the
framework for defining “credit losses”), (b) difficulties in calibrating key model parameters owing
to data limitations, and (c) a need for more systematic and comprehensive approaches to model
validation, including explicit treatment of model uncertainty/instability. While similar issues are
relevant to VaR models for the trading account, the magnitude of these concerns is much greater
with respect to credit risk models for the banking book.2

1The study involved extensive discussions with twelve banking organizations, two
nonbank securities firms, and numerous consultants and practitioners.
2 A secondary concern relates to the need to address non-credit and non-market risks
(generally referred to collectively as “operating risks”) within any formal internal models

Given the ongoing progress in credit risk modeling techniques, it is conceivable that
further improvements could redress many, if not most, of the concerns raised by the Task Force.
However, in the interim, as traditional techniques for assessing capital adequacy are rapidly
becoming outmoded, improved supervisory methods are needed if capital-based prudential
policies are to remain viable even over the shorter term. Because the most accurate information
regarding risks is likely to reside within a bank’s own internal risk measurement and management
systems, supervisors should utilize this information to the extent possible.
To this end, this report outlines several possible near-term uses of internal credit risk
models that, while not a full replacement for the Accord, could neverthe ess enhance current
prudential policies. Specifically, these models may be useful in two roles: (1) the development of
specific and practical examination guidance for assessing the capital adequacy of large, complex
banks; and (2) the setting of regulatory capital requirements against sele ted instruments that have
largely evolved subsequent to the adoption of the Accord, such as credit enhancements supporting
securitization programs.
II. Internal Capital Allocation Systems: An Overview
Many large banks have developed sophisticated internal systems for allocating capital
against the risks they have undertaken. While such systems typically enc ompass the primary
forms of risk faced by banks (credit, market, and operating risks), the principal focus of the Task
Force report is credit risk.
Underpinning all economic capital allocation systems are implici t or explicit estimates of
the probability density function of credit losses (“PDF”) for a bank. Exhibit 1 illustrates such a
PDF. Although the precise definition of “credit loss” tends to vary across banks (see below), a
risky portfolio, loosely speaking, is one whose PDF has a relatively long and fat tail —that is,
where there is a relatively high likelihood (compared with PDFs that have thin tails) that actual
losses will be substantially higher than expected losses.

approach to regulatory capital requirements. The economic capital alloc;ated against operating
risks at many large banks is substantial. Thus, unless the Accord were to be modified to consider
operating risks more directly, an internal models approach to credit risk p er
. se could substantially
understate banks’ overall capital needs.

4
For purposes of internal decision making, banks generally “collapse” the estimated PDF
into a single metric, termed the “economic capital” allocation for credit risk. This process is
analogous to the VaR methods used in allocating economic capital against market risks.
Specifically, the economic capital allocation is determined (in theory) so that the probability of
unexpected credit losses exhausting economic capital is less than some targeted level. For
instance, the level of economic capital may be set to achieve a 0.03 percent estimated probability
over a one year horizon that unexpected credit losses would exceed this level, thereby causing
insolvency.3 The target insolvency rate usually is chosen to be consistent with the bank’s desired
credit rating for its liabilities —if the desired credit rating is AA, the target insolvency rate might
be set at the historical one-year default rate for AA-rated corporate bonds (about 3 basis points).
Within economic capital allocation systems, a critical distinction is made between
expected credit losses and the uncertainty of credit losses (i.e., credit risk). These systems
generally assume that it is the role of reserving policies to cover expected credit losses, while it is
the role of equity capital to cover credit risk. In Exhibit 1, therefore, the area under the PDF to the
left of expected losses should be covered by the loan loss reserve, while the bank’s required
economic capital is the amount of equity over and above expected losses necessary to achieve the
target insolvency rate. Under this framework, a bank would consider itself to be undercapitalized
if its tangible equity (adjusted for any over- or under-reserving relative to expected losses) was
less than its required economic capital.
Economic capital allocation systems, and credit risk models more generally, tend to be
used in two broad applications: (a) the measurement of risk-adjusted profits, and (b) the
management of portfolio risks. An activity’s risk-adjusted profits typically are measured by
adjusting traditional cost-accounting measures of net income for the opportunity cost of the equity
needed to support that activity (i.e., its economic capital allocation).4 Specifically, risk-adjusted

3 The economic capital allocation for a sub-portfolio of credit instruments would be
calculated as the difference between the portfolio’s economic capital allocations with and
without the inclusion of those particular assets.
4 For purposes of calculating risk-adjusted profits, economic capital reflects all forms of
risk —credit, market, and operating risk. In practice, the total economic capital for an activity is

profits are calculated by imputing to each activity its allocated cost of equity capital (defined as
the activity’s allocated economic capital times the bank’s ROE target or hurdle rate). In this
fashion, risk-adjusted profits for various activities can be placed on an apples-to-apples basis, and
managers can make informed decisions about how to allocate scarce resources —that is, which
activities to increase in size or scope, which to cut back, and which to eliminate.
The second broad application is risk management. When setting the price on a proposed
new loan facility, it is now fairly common for a banker first to determine the break-even interest
rate covering the loan’s expected losses and an appropriate margin for credit risk —determined so
that the expected rate of return on the capital allocated to the loan (the Risk-Adjusted Return on
Capital, or RAROC) achieves the bank’s hurdle rate. Economic capital allocations also are used
increasingly in setting portfolio concentration limits for individual customers, industrial sectors,
and geographic regions. In addition, a few institutions employ credit risk models to improve their
estimated risk-retum profile through active day-to-day portfolio management involving the buying
or selling of credit exposures in the secondary loan market or the credit derivatives market.
III. Broad Approaches to Risk Measurement: Aggregative vs. Structural Models
As noted above, internal capital allocations against credit risk are determined
fundamentally by two factors —a bank’s appetite for risk taking, as reflected :in its target
insolvency rate, and its estimated PDF for credit losses. The chief focus of the Task Force report
is on the risk modeling practices used in estimating PDFs. Among major U.S. banks, there is
considerable diversity in these practices. To provide a taxonomy for later discussions, the Task
Force has divided risk measurement approaches into two broad categories: “aggregative” models
and “structural” models, illustrated in Exhibit 2.
A.

Aggregative Risk Models. Aggregative models typically are “top-down” approaches

that attempt to infer the “total risk” (i.e., the sum of credit, market, and operating risks) of a
broadly defined business or product line from the capital ratios of peers or from the historical cash
flows associated with that activity. Peer group or “market comparables” analysis attempts to
estimate the capital that would be needed to achieve a hypothetical “target” credit rating for a

generally calculated as the simple summation of the separate allocations for eich type of risk.

6
given activity (as if operated on a stand-alone basis) from the capitalization rates of competitors
engaged in that activity. The other major aggregative technique, historical cash flow analysis,
attempts to estimate an activity’s total risk from the volatility of its historical cash flows.
Typically, the economic capital allocation for a business line is set simply as some multiple of the
observed standard deviation of historical cash flows from that business line within the bank.
Among banks, aggregative models tend to be used mainly for assessing the performance of
broad business or product lines, for making large-scale strategic business decisions (such as
acquisitions or divestitures), or for validating structural risk models, rather than for day-to-day
investment and risk management purposes. In part, this pattern of usage reflects the relative
insensitivity of aggregative models to variations in portfolio composition within the business lines
that are separately analyzed. Peer analysis, for example, may be misleading if the credit quality of
a bank’s portfolio differs significantly from that of its competitors. Similarly, the historical cash
flow approach may be inappropriate if the composition of the current portfolio (e.g., its sectoral
make-up or the credit quality of customers) is substantially different from that historically.
B.

Structural Risk Models. Most banks estimate their total portfolio risk through

structural modeling approaches in which separate models are constructed for credit, market, and
operating risks. With respect to the modeling of credit risk, banks often employ “top-down”
approaches in certain lines of business (e.g., consumer or small business lending), and “bottomup” approaches in others (e.g., large corporate customers). For consumer and small business
customers, a bank may assume that certain broad classes of loans (e.g., credit cards) are more or
less homogeneous, and that the associated PDF can be estimated from the volatility of the bank’s
historical net charge-offs on such credits. Such top-down credit risk models generally are
vulnerable to the same concerns as top-down aggregative models —the current portfolio quality
and composition may differ substantially from those historically.
Within banks’ large corporate businesses, credit risk normally is modeled using “bottomup” approaches. That is, the bank attempts to identify and model risk at the level of each
individual credit facility (e.g., a loan or a line of credit) based on explicit evaluations of the
financial condition of that customer. To measure risk at higher levels of consolidation, such as for
a customer relationship or a line of business, these individual risk estimates are summed taking

into account diversification effects. Thus, within bottom-up models, variations in credit quality
across customers and other portfolio compositional effects are considered explicitly. A principal
focus of the Task Force report is the design and implementation of such “bottom-up” credit risk
models. It is in this arena that the industry is expending significant effort and is making the
greatest conceptual and practical advances in credit risk modeling.
IV. “Bottom-up” Credit Risk Models: Modeling Issues
As shown in Exhibit 2, structural models that measure credit risk in a “bottom-up” method
entail several specific steps. Much of the Task Force report deals with these critical and often
subjective choices, which can significantly affect the final internal capital allocations. This
section provides a sense of the most important modeling issues, as background to the policyrelated discussion in section V. Nevertheless, this material is not essential to the policy
discussion, and can be skipped if so desired.
A.

Internal credit rating systems. Within nearly all bottom-up credit risk models, a

credit instrument’s “internal credit rating” is used to represent its probability of default.
Furthermore, a risk position’s rating, in most banks, is sufficient to determine the internal capital
assigned to the position by the credit risk model. The vast majority of the top-50 U.S. banks
assign a credit grade to each large- and middle-market customer, as well as to each customer’s
separate credit facilities —defined to include all on- and off-balance sheet credit exposures.
Internal credit rating systems are designed to differentiate the credit quality of borrowers much
more finely than under the five-point grading scale used by bank examiners (i.e., pass, specially
mentioned, sub-standard, doubtful, and loss). A typical internal rating system might include six
“pass” grades plus the four “criticized” grades, while the most detailed system might include 18 or
more separate pass grades.
For risk modeling purposes, a bank would normally relate its credit grades to some
external standard, such as S&P’s corporate bond ratings. Thus, a grade

loan may be deemed

roughly equivalent to an S&P bond rating from AA to AAA, a grade-2 loan equivalent to a bond
rating of single-A, and so on. Given this concordance, the probability of a credit instrument
defaulting over some horizon is usually inferred from published data on the historical default rates
of similarly rated corporate bonds.

8
Since most bottom-up credit risk models are based on the asset rating process, a critical
issue is the extent to which the bank’s internal rating process sufficiently describes differences in
risk characteristics among classes of assets or between individual risk positions. For example, a
bank’s rating process may result in 70 percent or more of commercial loans being lumped into
only two “pass” rating categories, despite the fact that the bank may have 6 or more pass rating
categories. Also, since a rating is meant to reflect only a position’s default probability (or in some
cases, its expected loss rate), the rating may be inconclusive in describing other important
elements of the position’s contribution to portfolio risk. For example, a corporate bond of a given
rating may exhibit a very much lower loss-given-default and loss variance than would a
subordinated securitization tranche with a similar rating. This is because the subordinated tranche
is effectively “levered” and will absorb a disproportionate share, in some cases virtually all, of the
credit losses on the underlying asset pool being securitized.
B.

Conceptual framework. Credit risk modeling procedures are driven importantly by a

bank’s underlying definition of “credit losses” and the “planning horizon” over which such losses
are measured. Banks generally employ a one-year planning horizon, and what the study refers to
as either a Default-Mode paradigm or a Mark-To-Market paradigm for defining credit losses.
1) Default-Mode Paradigm. At present, the default-mode (or DM) paradigm is by far the
most common approach to defining credit losses. It can be thought of as a representation of the
traditional “buy and hold” lending business of commercial banks. It is sometimes called a “twostate” model because only two outcomes are relevant: non-default and default. If a loan does not
default within the planning horizon, no credit loss is incurred; if the loan defaults, the credit loss
equals the difference between the loan’s book value and the present value of its net recoveries.
2) Mark-To-Market Paradigm. The mark-to-market (or MTM) paradigm generalizes this
approach by recognizing that the economic value of a loan may decline even if the loan does not
formally default. This paradigm is “multi-state” in that “default” is only one of several possible
credit ratings to which a loan could migrate. In effect, the credit portfolio is assumed to be
marked to market, or, more accurately, “marked to model.” The value of a term loan, for
example, typically would employ a discounted cash flow methodology, where the credit spreads

used in the valuing the loan would depend on the instrument’s credit rating.5
To illustrate the differences between these two paradigms, consider a loan having an
internal credit rating equivalent to BBB. Under both paradigms, the loar would incur a credit loss
if it were to default during the planning horizon. Under the mark-to-mar cet paradigm, however,
credit losses also could arise if the loan were to suffer a downgrade short of default (such as
migrating from BBB to BB), or if prevailing credit spreads were to widen. Conversely, the value
of the loan could increase if its credit rating improved or if credit spreads narrowed.
Clearly the planning horizon and loss paradigm are critical decision variables in the credit
risk modeling process. As noted, the planning horizon is generally taken to be one year. It is
often suggested that one year represents a reasonable interval over which a bank —in the normal
course of business —could mitigate its credit exposures. Regulators, however, tend to frame the
issue differently —in the context of a bank under stress attempting to unload the credit risk of a
significant portfolio of deteriorating assets. Based on experience, in the J.S. and elsewhere, more
than one year is often needed to resolve asset-quality problems at troubleci banks. Thus, for the
banking book, regulators may be uncomfortable with the assumption that capital is needed to
cover only one year of unexpected losses.
Since default-mode models ignore credit deteriorations short of deifault, their estimates of
credit risk may be particularly sensitive to the choice of a one-year horizo n. With respect to a
three-year term loan, for example, the one-year horizon could mean that more than two-thirds of
the credit risk is potentially ignored. Many banks attempt to reduce this bias by making a loan’s
estimated probability of default an increasing function of its maturity. In practice, however, these
adjustments are often ad hoc, so it is difficult to assess their effectiveness.
C.

Credit-related optionality. In contrast to simple loans, for many instruments a bank’s

credit exposure is not fixed in advance, but rather depends on future (random) events. One
example of such “credit-related optionality” is a line of credit, where optionality reflects the fact
that draw-down rates tend to increase as a customer’s credit quality deteriorates. As observed in

5
While few banks currently use the MTM framework outside their trading accounts,
many practitioners believe the industry is likely to evolve from largely DM-based risk models for
the banking book to the more general MTM-based models over the near term.

10
connection with the recent turmoil in foreign exchange markets, credit-related optionality also
arises in derivative transactions, where counterparty exposure changes randomly over the life of
the contract, reflecting changes in the amount by which the bank is “in the money.”
As with the treatment of optionality in VaR models, credit-related optionality is a
complex topic, and methods for dealing with it are still evolving. At present, there is great
diversity in practice, which frequently leads to very large differences across banks in credit risk
estimates for similar instruments. With regard to virtually identical lines of credit, estimates of
stand-alone credit risk can differ as much as a ten-fold. In some cases these differences reflect
modeling assumptions that seem difficult to justify —for example, with respect to committed lines
of credit, some banks implicitly assume that future draw-down rates are independent of future
changes in the customer’s credit quality. Going forward, the treatment of credit-related
optionality appears to be a priority item, both for bank risk modelers and their supervisors.
D.

Model calibration. Perhaps the most difficult aspect of credit risk modeling is the

calibration of model parameters. To illustrate this process, recall that in a default-mode model,
the credit loss for an individual loan reflects the combined influence of two types of risk factors —
those determining whether or not the loan defaults and, in the event of default, risk factors
determining the loan’s loss rate. Thus, implicitly or explicitly, the model-builder must specify (1)
the expected probability of default for each loan; (2) the probability distribution for each loan’s
loss-rate-given-default; and (3) among all loans in the portfolio, all possible pair-wise correlations
among defaults and loss-rates-given-default. Under the mark-to-market paradigm, the estimation
problem is even more complex, since the model-builder needs to consider possible credit rating
migrations short of default as well as potential changes in future credit spreads.
This is a daunting task. Reflecting the longer-term nature of credit cycles, even in the best
of circumstances —assuming parameter stability —many years of data, spanning multiple credit
cycles, would be needed to estimate default probabilities, correlations, and other key parameters
with good precision. At most banks, however, data on historical loan performance have been
warehoused only since the implementation of their capital allocation systems, often within the last
few years. Owing to such data limitations, the model specification process tends to involve many
crucial simplifying assumptions as well as considerable judgment.

11
The study analyzes many assumptions that are often invoked to make model calibration
manageable. Examples include assumptions of parameter stability and various forms of
independence within and among the various types of risk factors. Some specifications also
impose normality or other parametric assumptions on the underlying probability distributions.
It is important to note that estimation of the extreme tail of the PDF is likely to be highly
sensitive to these assumptions and to estimates of key parameters. Surprisingly, in practice there
is generally little analysis supporting modeling assumptions. Nor is it standard practice to conduct
sensitivity testing of a model’s vulnerability to key parameters. Indeed, practitioners generally
presume that all parameters are known with certainty, thus ignoring credit risk issues arising from
parameter uncertainty or model instability. In the context of an internal models approach to
regulatory capital for credit risk, sensitivity testing and the treatment of parameter uncertainty
would likely be areas of keen supervisory interest.
E.

Model validation. Given the difficulties associated with calibrating credit risk

models, there is a clear need for effective model validation procedures. However, the same data
problems that make it difficult to calibrate these models also make it difficult to validate the
models. Due to insufficient data for out-of-sample testing, banks generally don’t conduct
statistical back-testing on their estimated PDFs.
Instead, credit risk models tend to be validated indirectly, through various market-based
“reality” checks. Peer group analysis is used extensively to gauge the reasonableness of a bank’s
overall capital allocation process. Another market-based technique involves comparing actual
credit spreads on corporate bonds or syndicated loans with the break-even spreads implied by the
bank’s internal pricing models. An implicit assumption of these techniques is that prevailing
market perceptions and prevailing credit spreads are always “about right.”
In principle, stress testing could at least partially compensate for shortcomings in
available back-testing methods. In the context of VaR models, for example, stress tests designed
to simulate hypothetical shocks provide useful checks on the reasonableness of the required
capital levels generated by these models. Presumably, stress testing protocols also could be
developed for credit risk models, although the Task Force is not yet aware of banks actively
pursuing this approach.

12
V. Possible Near-term Applications of Credit Risk Models
While the reliability concerns raised above in connection with the current generation of
credit risk models are substantial, they do not appear to be insurmountable. Credit risk models are
progressing so rapidly it is conceivable they could become the foundation for a new approach to
setting formal regulatory capital requirements. Regardless of how formal RBC standards evolve
over time, within the relatively short-run supervisors need to improve their existing methods for
assessing bank capital adequacy, which are rapidly becoming outmoded in the face of
technological and financial innovation. Consistent with the notion of “risk-focused” supervision,
the Task Force believes such efforts should take full advantage of banks’ own internal risk
management systems —which generally reflect the most accurate information about their credit
exposures —and on encouraging improvements to these systems over time.
The Task Force is considering several possibilities for utilizing internal credit risk models
within prudential capital policies. These potential applications may be divided into two main
areas: (a) the setting of RBC requirements for selected credit instruments, and (b) the
development of enhanced examination guidance on assessing the capital adequacy of large,
complex banks.
A.

Selective Use in Setting Formal RBC Requirements. Under the current RBC

standards, certain credit risk positions are treated ineffectually or, in some cases, ignored
altogether. The selective application of internal credit risk models in this area could fill an
important void in the current RBC framework for those instruments that, by virtue of their being
at the forefront of financial innovation, are the most difficult to address effectively through
existing prudential techniques.
One possible application is suggested by the November, 1997, Notice of Proposed
Rulemaking on Recourse and Direct Credit Substitutes (NPR) put forth by the U.S. banking
agencies. To address various inconsistencies in the current RBC treatments of credit
enhancements supporting securitization programs, the NPR proposes setting RBC requirements
for such instruments on the basis of credit ratings for these positions obtained from one or more
accredited rating agencies. A natural refinement of this approach would permit a bank to use its
internal credit ratings (in lieu of having to obtain external ratings from accredited rating agencies)

13
provided they were judged to be “reliable” by supervisors.
A further extension of the agency proposal might involve the direct use of internal credit
risk models in setting formal RBC requirements for selected classes of securitization-related credit
enhancements. Many current securitization structures were not contemplated when the Accord
was drafted, and can not be addressed effectively within the current RBC framework. Market
acceptance of securitization programs, however, is based heavily on the ability of issuers to
quantify (or place reasonable upper bounds on) the credit risks of the underlying pools of
securitized assets. The application of internal credit risk models, if deemed “reliable” by
supervisors, could provide the first practical means of assigning economically reasonable capital
requirements against such instruments. The development of an internal models approach to RBC
requirements —on a limited scale for selected instruments —also would provide a useful test-bed
for enhancing supervisors’ understanding and confidence in such models, and for considering
possible expanded regulatory capital applications over time.
B.

Improved Examination Guidance. Apart from their possible use in setting formal

RBC standards, the inputs and outputs of banks’ internal credit risk models could enhance
assessments of bank capital adequacy through the examination process. For instance, examiners
could use a bank’s own internal credit rating systems to assess the relative riskiness of a bank’s
pass (or non-classified) assets. Provided that a concordance schedule could be developed that
appropriately translated each bank’s rating “buckets” into a common standard (perhaps paralleling
S&P’s or Moody’s rating systems), examiners also could assess how the credit quality of a bank’s
portfolio compared with that of its large peers. This information could be used in much the same
way that senior bank managers now use their own internal credit rating reports to evaluate the
adequacy of the loan loss reserve and changes in a portfolio’s credit quality over time.
More broadly, it may be possible for supervisors to effectively use the risk measurements
and capital allocations generated by the banks’ credit risk models to assess the quality of a bank’s
risk measurement systems and overall capital adequacy. To give one example, in contrast to the
current RBC framework, typical internal capital allocations for unsecured term loans often range
from 1 percent or less for AAA-rated loans to more than 30 percent against loans classified as
“doubtful” —not counting any reserves for expected future charge-offs. Examiners might usefully

14
compare a particular bank’s actual capital levels (or its allocated capital levels) with the capital
levels implied by such a grade-by-grade analysis (using as benchmarks the internal capital
allocation ratios, by grade, of peer institutions). Over time, examination guidance might evolve to
encompass additional elements of banks’ internal risk models, including analytical tools based on
stress test methodologies.
Regardless of the specific details, the development and field testing of examination
guidance dealing with internal credit risk models would provide several useful benefits. Such an
initiative would encourage further model development by banks, and would help ensure that
supervisors remained abreast of ongoing improvements in risk modeling practices. In addition,
both supervisors and the banking industry would benefit from the development of sound practice
guidance on the design, implementation, and application of internal credit risk models and capital
allocation systems within large, complex banking organizations. As with trading account VaR
models at a similar stage of development, banking supervisors are in a unique position to
disseminate information on best practices in the risk measurement arena. Such efforts also would
likely stimulate constructive discussions among supervisors and bankers on ways to improve
credit risk measurement and management practices.

E x h ib it 1

Relationship Between PDF and Allocated Economic Capital

Losses

Note: The shaded area under the PDF to the right of X (i.e., the target insolvency rate) equals the
cumulative probability that unexpected losses will exceed the allocated economic capital.

Exhibit 2
Overview of Risk Measurement Systems