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FRBSF

WEEKLY LETTER

Number 94-01, January 7, 1994

Market Risk and Bank Capital:
Part 1
For several years, bank supervisors from major
countries have been meeting regularly in Basle,
Switzerland, as the Basle Committee on Banking
Supervision. There, they discuss and coordinate
bank regulatory and supervisory concerns that
cut across national boundaries. One major product of this Committee was the 1988 Accord on
risk-based capital standards for banks. Although
generally successful, awidely recognized defect
of those standards is that they reflect only "credit
risk," the risk of counterparty default. For example, under the 1988 Basle Accord banks need
not hold any capital to protect their investments
in long-term government bonds, because such
bonds have no default risk. Yet banks may suffer
substantial losseson holdings of such bonds if
interest rates rise.
In April 1993, the Basle Committee released draft
proposals covering so-called "market risks:' This
broad category of risks encompasses losses that
banks suffer due to changes in market-related
variables such as interest rates or exchange rates.
Currently the proposals are only at a consultative
stage. However, with
representatives active
on the Basle Committee, it is I ikely that at least
some banks in the United States will be asked
to comply with any eventualstandards. This
Weekly Letter is the first of two discussing the
new market risk capital proposals. The description of the proposals in this first part highlights
the similarities in the key elements. Part 2 discusses whether the proposed standards are likely
to work well.

u.s.

Three types of market risk
Market risk is defined as the possibility of losses
due to price changes that are unrelated to changes
in the credit standing of any particular counterpartI'. The Basle Committee's draft proposals
coverthree sources of such risk.
The first is risk due to changes in interest rates.
The proposed capital standards deal with interest
rate risk from traded debt securities-things such
as notes and bonds that have well-defined market

prices. As a result, the proposal covers only part
of the interest rate risk that banks face; it ignores
the effect of changing interest rates on loans and
deposits. (The BasleCommittee also has proposed
a framework for collecting data on interest rate
exposure for the whole bank. At present that
framework is for information only, and does not
incorporate an explicit risk calculation or capital
charge.)
The second source of market risk is changes in
stock prices. This might seem irrelevant for
banks, since generally they are not permitted to
hold stocks. However, the new standards would
apply on a consolidated basis to all components
of banking firms. In the
and many other
countries, some banks are affiliated (for example,
through holding companies) with brokerage or
investment banking units, for whom equity exposures, and therefore the new capital standards,
might be important. In addition, in some countries (such as Germany) banks are permitted to
hold equity directly; affiliates of
banks operating in those countries may havesubstantial
holdings of equity sharesand other equity-linked
instruments.

u.s.

u.s.

u.s.

The third source is exchange rate risk. Some
banks haveassetsand liabilities denominated in
. foreign currencies. As the prices of those currencies (the exchange rates) change, banks may gain
or lose. As with the other market risks, the Basle
Committee proposes that banks hold capital to
protect against any such losses. Unlike the debt
and equity risk proposals, the exchange rate proposal considers all sources of foreign exchange
risk, not just the portion due to traded securities.
Measuring market risk-N AP, GAP, and WAP
For each market risk. the Basle Committee
proposes methods ior quantifying risk and for
calculating the minimum capital to provide adequate protection against any associated losses.
The documents describing the proposals are
not easy to read; some passagesmight seem to
be written in a kind of "international central

FRBSF
bankers' code./I However, hidden in their murky
depths is a single unified conceptual approach to
measuring market risk and assessingcapital adequacy. This single approach is easiest to explain
using foreign exchange risk as an example.
Exchange rate risk arises from loans, securities,
deposits, and so on denominated in foreign currencies. The proposal consolidates these exposures into a single hypothetical portfolio for each
bank, with one net position in each foreign currency. rhis constructed portfolio is what would
result if all of a bank's business units transferred
their foreign currency exposure to the bank's foreign exchange "desk/l through internal transactions. Some banks do precisely that, with the
desk then responsible for managing the exposure. However, the same principle applies no
matter how the risk is actually handled in a
particular bank.
Figure 1 provides an example of the resulting
consolidated portfolio, based on figures for an
actual U.S. bank as of December 1992. Exposures are either "long" or JJshort."Long positions
are those on which the bank gains if the dollar
price of the foreign currency rises (the currency
appreciates relative to the dollar); longs generally
reflect such things as foreign-denominated assets,
on which the bank will receive payment in foreign currency. Short positions are the opposite:
the bank gains if currencies fall in value. Shorts
reflect amounts that the bank owes to counter-

Figure 1: Typical Bank Foreign
Currency Position
(in U.S.$ millions)
long Positions
SwissFranc
U.K. Pound
JapaneseYen
Australian Dollar
TotalLong
Short Positions
German Mark
Canadian Dollar
TotalShort

Larger foreign exchange portfolios probably are
riskier than smaller portfolios. But what is the relevant measure of size? One possibility is the net
value, which I call NAP, for "net aggregate position./I NAP is simply the difference between
longs and shorts. In the example, NAP is $243
million (the difference between 274 and 31).
Since short positions can finance long positions,
NAP reflects the net investment by the bank in its
foreign exchange portfolio. A second possible
size measure is the gross position, which I refer
to as GAP, for /lgross aggregate position:' GAP is
the sum of longs and shorts; in the example, GAP
is $305 million (the sum of 274 and 31).
Regulators in the past have used both GAP and
to measure the

size-and by implication,

the risk-of banks' foreign exchange positions.
For example, NAP has been used in Japan, and
GAP in Germany. The Basle Committee examined both approaches, and chose yet a third:
total long positions or total short positions, whichever is larger. (This method is used by the Bank
of England, among others.) Interestingly, the Basle
measure of foreign exchange risk is equivalent to
a simple fifty-fifty, or equal, weighting of GAP
and NAP. This fact can be verified from the example in Figure 1; half the $305 million gross
position plus half the $243 million net position is
equal to $274 million, which is the total value of
the larger long positions.
The result may be called WAP, for /lweighted aggregate position." For banks' foreign currency
WAP, the Basle Committee implicitly has selected equal 50 percent weights for NAP and
GAP, but there is no reason the weights must
be equal (and as shown below, other parts of
the market risk proposal incorporate different
weights). The Basle Committee has proposed a
minimum 8 percent ratio of capital to equally
weighted WAP for banks' exchange rate risk. In
the sequel to this Letter, I will explain why this is
a sensible approach.

56
151
57
10
274
17
1-+

31

= 274 - 31 = 243
GAP = 274 + 31 = 305
WAP = (NAP x 50%) + (GAP x

parties, and depreciation means that the bank
can repay with a currency that is worth less in
dollar terms. In the example, the bank has total
long positions of $274 million in Swiss Francs,
British pounds, Japaneseyen, and Australian dollars, and total short positions in German marks
and Canadian dollars of $31 million.

NAP

50%)

=

274

The common threads
The Basle Committee applies roughly similar
principles for interest rate and stock price risk.

Hypothetical portfol ios-one for traded debt and
one for equity-are constructed to reflect the
bank's total exposure. Whereas the individual positions in the foreign exchange example above
were in different currencies, for equity the positions are different issuers, and for traded debt
the positions are different maturities. As with
foreign exchange, NAP and GAP are computed,
weighted, and combined into a single weighted
aggregate position; this WAP reflects portfolio
size, and is presumed to be related to market
risk. Minimum capital for each type of risk is set
as a ratio to WAP. These common threads unify
the approachesto the three market risks: the use
of WAP based on a hypothetical portfolio, and
assessmentof capital adequacy through a capital
ratio applied to WAP. However, the relative
weightings for each type of risk differ.
In the equity risk proposal, the Basle Committee
places 100 percent weights on each of GAP and
NAP, unless the bank's equity portfolio is well
diversified; in that case, the weights are 100 percent on NAP and 50 percent on GAP. (This contrasts with the implicit 50 percent weight on
each in the foreign exchange proposal.) As with
foreign exchange risk, the minimum capital to
cover equity market risks is 8 percent of the
bank's equity WAP.
The treatment of interest rate risk is much more
complicated, but it too turns out to be a version
of WAP. A portfolio with net positions in 13
different maturity (or repricing) bands is constructed; the positions are multiplied by duration
weights to reflect the interest rate sensitivity of
each time band. Long and short positions in
the 13 time bands are netted within and across

the bands, wil A part of the netting then "disallowed" through the application of varying
"disallowance" factors. The way the disallowances are calculated, this turns out to be a WAP
calculation, in which the amount of the disallowance is related to the weighting: A smaller
disallowance factor gives relatively more weight
to NAp versus GAP. The weights on NAP and
GAP range from 95 and 5 percent, respectively,
to 25 and 75 percent. Instead of multiplying the
resulting WAP by a capital ratio, the positions in
each maturity band are premultiplied by capital
charges ranging from a to 12.5 percent that ref!ect their relative volatilities.

Summary
This brief overview of the Basle Committee's market risk proposals has glossed over the finer and
more devilish details. Two unifying themes of the
new market risk proposals have been emphasized: gross and net positions are weighted to
measure a bank's exposure to market risks, and
minimum capital is a percentage of that weighted
exposure. Unfortunately, these common threads
may not be clear in the consultative documents;
the Basle Committee does not present the approaches as simple variations on the WAP theme.
In the sequel to this Letter, I argue that the common
threads reflect a sensible approach to market
risk, balancing precision and practical simplicity. I also present evidence suggesting that the
Basle Committee's approach may work well in
practice.

Mark E. levonian
ResearchOfficer

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