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FRBSF

WEEKLY LETTER

October 19, 1984

Insurance and Managing Bank Risk-Taking
This Weekly Letter is part of a series of digests of
articles that appear in the Federal Reserve Bank of
San Francisco's quarterly Economic Review. These
digests are intended to make the major findings of
research conducted at the San Francisco Reserve
Bank available to a wider audience. Readers who
wish to obtain individual copies of a Review, or
who would liketo be placed on the mailing listfor
the Review, may do so by writing the Public InforĀ·
mation Department, P.O. Box 7702, San Francisco, California 94120. The articles summarized
here appear in the Spri ng 1984 issue of the Economic Review.

deregulation is increasing the scope for risk-taking
by banks and other depository institutions. These
incl ude new asset and product Ii ne activities, such
as real estate and insurance; the increased uncertainties of coping with deposit rate competition;
and financial innovations such as brokered funds,
which allow banks to raise funds nationally and to
reduce their reliance on local markets in which
they are better known. His analysis suggests that
improved monitoring and control of bank activities to prevent fnsolvency may be more important
than differentially pricing risk in protecting the
insurance funds.

Deposit Insurance Reform
Many observers cred it the establ ishment of federal
deposit insurance in the 1930s with preventing the
periodic banking panics that had destabilized the
U.S. banking system before 1933. Recently, however, we have come to appreciate that the existing
system of deposit insurance may actually encourage banks (and other depository institutions) to
assume more risk in their loan making and investment activities than is socially desirable. Deposit
insurance may reduce depositors' incentives to
monitor the financial health of the institutions in
which they have invested their funds. Depository
institutions themselves may be encouraged to take
on more risk than they would otherwise because
the potential costs of failure are shared with the
insurer.

Pyle emphasizes that the insurer's liabilityconsisting of the difference between the market
value of a bank's assets and its deposits when it is
closed -depends both on the riskiness of a bank's
assets and on the insurer's insolvency policy. By
insolvency pol icy, he means the ratio of the market
value of an institution's assets to its deposit liabilities at wh ich the insu rer wi II declare the institution
insolvent. To examine the relative importance of
bank asset risk and the insolvency ratio, Pyle draws
on options pricing theory, reasoning thatthe insurer in effect has agreed to "buy" the bank's assets
(where the price is the total value of insured deposits that must be paid off) when a bank's asset-toliability ratio falls below the insolvency value.

This concern that the current system of deposit
insurance encourages excessive risk taking has led
to periodic proposals for reform. Most notable
among these proposals is the one calling for institutions to be charged differential insurance fees
(rather than the current flat fee) based on the riskiness of their portfolios. Difficulties with implementing such reforms, however, call their practicality into question. Three of the four articles in the
Spring 1984 Economic Review suggest alternative
reforms the FDIC and other insurers can undertake. The fourth describes a method of pricing
mortgages borrowed from options pricing models.

For representative values of asset rate risk and
different levels.of audit costs, Pyle's calculations
suggest that preventing the insolvency ratio from
falling below one (at which net worth becomes
negative) may be much more effective in reducing
the insurer's liability than measures designed to
reduce bank risk. As the author notes, the use of
book value net worth standards has allowed some
institutions to operate at negative net worth, significantly increasing the cost to the insurer in the
event that the institution must be closed. In this
context, Pyle's calculations suggest that "improved solvency control is a... more important
focal point for deposit insurance reform
legislation."

Improved solvency control
In "Deregulation and Deposit Insurance Reform"
David Pyle lists several ways in which financial

Greater use of enforcement powers
Barbara Bennett, in "Bank Deregulation and
Deposit Insurance: Controlling the FDIC's Losses,"

FRBSF
examinestheways in which the FDIC could use its
current regulatory and supervisory powers to
reduce the risk to the insurance fund caused by
excessive risk-taking. Bennett notes that the ten-.
dency for bank regulators, including the FDIC, to
let an institution's net worth become negative
before taking action offers a powerfu I incentive to
banks to take extraordinary risks because, at that
point, the costs offailure will be borne entirely by
the insurer.
Bennett considers the FDIC's (and other agencies')
regulatory powers in such areas as loan concentrations, insider transactions, and capital adequacy
standards analogous to restrictive covenants in
bond indentures. Their purposes are the same: to
restrict risk-taking activities that would reduce the
value of the insurance fund and the value of the
bondholders' claims on the firm, respectively.
Minimum capital standards, for example, Iimitthe
extent to which a bank can increase its deposit
liabilities (and hence the potential claim on the
insurance fund) without also increasing its capital
base.
The author argues that despite the substantial
powers of enforcement at the FDIC's command,
"On the whole, the FDIC has tended to make
limited use of its current enforcement powers,
particularly those involving legal proceedings,
... tend(ing) to rely (instead) mainly on informal
agreements and on more frequent examinations ..." Bennett concludes that "the FDIC's
apparent reluctance to resort to more serious measures until institutions are on the verge of insolvency unnecessarily increases the risk to the insurance
fund."
Terms of maturity
In the third article on deposit insurance, "A View
on Deposit Insurance Coverage," Frederick Furlong analyzes the FDIC's recent "modified pay-out
policy," which puts large-denomination deposits
at risk. Furlong concludes thatthis policy "could
make the banking system more unstable by increasing the probability of 'bank runs'," and that
" ... it may be more appropriate t6 base insurance
on terms of maturity, with short-run deposits receiving coverage."
Since the inception of Federal Deposit Insurance,
insured and uninsured deposits have been segregated on the basis of account size. In practice,
however, and with a few exceptions, holders of

lIuninsured" deposits have not incurred losses
from bank failures. The modified payout plan is an
attempt to reinstate some market discipline by
giving large depositors a greater incentive to
monitor bank risk-taking activities. Under the
plan, uninsured depositors would receive immediatelya pro-rata share of what the FDIC thought it
could recoverfrom liquidating a failed bank's
assets.
In assessing the FDIC's modified payout policy,
Furlong distinguishes two rationales for deposit
insurance. The first, protecting the small saver, is
based on the presumption that such individuals
are at a disadvantage in calculating the riskiness of
a depository institution's liabilities. Moreover,
such small savers are pr"sumed to be more susceptibleto risk exposure because of a limited ability to diversify their portfolios. Furlong argues that
the current deposit insurance system does protect
the small saver, but does so at some expense to the
second objective of deposit insurance, that of ensuring aggregate financial stability. Moreover, he
maintains that contemporary financial markets
offer ample opportunities for safe investments by
the small saver.
Furlong believes that the more defensible objective
of deposit insurance is to maintain stable financial
markets by forestalling the sort of depositor runs
and associated banking panics that severely disrupted financial markets before the establishment
of the FDIC. He argues that putting large depositors
at ri sk does not directly add ress th is th reat to financial stability because the critical dimension in the
problem of bank runs is the term to maturity of
deposits. Highly liquid deposits-withdrawable
at par on demand or on short notice-enable
depositors to withdraw such funds as soon as they
become concerned about an institution's financial
health. The author argues, therefore, thata distinction be made between insured and uninsured deposits on the basis of terms of maturity, not account

size.
An options approach to pricing mortgages
In the final article, "Pricing Mortgages: An Options
Approach," Randall J. Pozdena and Ben Iben
demonstrate how a numerical options pricing
technique can be used to price mortgages with
different contract provisions, such as interest rate
"caps" on adjustable rate mortgages (ARMs).
Their simulation results, among other things, suggestthat current techniques for pricing ARMs may

cause them to be "overpriced," that is, lead to
original contract rates that are too high relative to
what the market is willing to pay.
The application of the options pricing model to
mortgages relies on the observation that a mortgage can be thought of as a coupon-type bond
with certain options attached to it. A mortgage
with a prepayment option, for example, can be
thoughtofasa package consisting of a bond (the
mortgage) plus a call provision (the option of the
borrower to payoff the "bond," usually at a price
equal to the existing balance of the loan plus any
prepayment penalty).
The value of an option comes from its effectiveness
as a hedge against interest rate risk. The prepayment option on a mortgage, for example, has value
because it "insures" the borrower against being
locked into a relatively high interest rate should
market interest rates fall. OptiOns pricing models
use this idea to infer the value of an option from
the price of the underlying security and the prevailing rate of interest. The value of a mortgage
according to such a model wou Id reflect both the
value of the bond component and the value of the
attached options(s), if any.
Pozdena and Iben use a numerical options pricing
model to simulate contract interest rates on mort-

gages with different contract provisions. Simulations of yields for both fixed and adjustable rate
mortgages resulted in several interesting findings.
First, the large spreads between fixed and ARM
rates suggest that the insulation from interest rate
risk offered a lending institution by ARMs are
obtained only attheexpense of a substantial reduction in the rate that can be charged on that type
of mortgage. Second, the spreads between ARMs
with different-sized "caps" on the total increase in
the contract interest rate allowable over the Iife of
the mortgage are smaller the lower the level of
prevailing short-term market rates of interest. This
finding, the authors argue, "suggest(s) that 'markup' rules of thumb in pricing variable-rate mortgages ... probably should not be employed by
mortgage lenders."
Finally, Pozdena and Iben note thatthe simu lations
of ARM yields are typically closer to the short-term
rate Of interest than is, at least on the basis of the
casual evidence, observed in the marketplace.
The authors speculate that this may have meant
ARMs were "overpriced" in the market, and that
this would help explain why such contracts met
widespread market resistance when first
introduced.

John L. Scadding

Opinions expressed in this newsletter do not necessarily reflect the views of the management of the Federal Reserve Bank of San
Francisco, or of the Board of Governors of the Federal Reserve System.
Editorial comments may be addressed to the editor (Gregory Tong) or to the author .... Free copies of Federal Reserve publications
can be obtained from the Public Information Department, Federal Reserve Bank of San Francisco, P.O. Box 7702, San Francisco
94120. Phone (415) 974-2246.

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BANKING DATA-TWELFTH FEDERAL RESERVE DISTRICT
(Dollar amounts in millions)

Selected Assets and Liabilities
Large Commercial Banks
Loans, Leases and Investments] 2
Loans and Leasesl 6
Commercial and Industrial
Real estate
Loans to Individuals
Leases
U.S. Treasury and Agency Securities 2
Other Securities 2
Total Deposits
Demand Deposits
Demand Deposits Adjusted 3
Other Transaction Balances4
Total Non-Transaction Balances 6
Money Market Deposit
Accounts-Total
Time Deposits in Amounts of
$100,000 or more
Other Liabilities for Borrowed MoneyS

Weekly Averages
of Daily Figures

Amount
Outstanding

Change
from

10/3/84
183,446
164,668
49,745
60,882
30,226
5,042
11,715
7,063
192,186
46,236
29,626
12,648
133,302

9/26/84
608
836
659
55
127
4
92
- 135
4,380
3,008
1,122
749
623

37,765

242

41,142
20,324

33
-2,581

Change from 12/28/83
Percent
Dollar
Annualized

7,421
9,313
3,782
1,983
3,575
21
792
1,100
1,189
3,001
1,705
127
4,317

5.4
7.7
10.6
4.3
17.4
- 0.5
8.2
- 17.5
0.8
7.9
- 7.0
1.2
4.3

-

1,832

-

-

2,977
2,683

- 15.1

-

-

-

Period ended

Period ended

9/24/84

9/1 0/84

105
47
58

23
39
15

Reserve Position, All Reporting Banks
Excess Reserves (+ )/Deficiency (-)
Borrowings
Net free reserves (+ )/Net borrowed( -)

1 Includes loss reserves, unearned income, excludes interbank loans
2

Excludes trading account securities

3 Excludes U.S. government and depository institution deposits and cash items
4 ATS, NOW, Super NOW and savings accounts with telephone transfers

5 Includes borrowing via FRB, TT&L notes, Fed Funds, RPs and other sources
6 Includes items not shown separately

~U08

6.0
10.1