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170 RISK MANAGEMENT AND VALUE CREATION IN FINANCIAL INSTITUTIONS<br />

we will not address), we are try<strong>in</strong>g to provide a detailed <strong>and</strong> consistent<br />

approach that:<br />

■<br />

■<br />

First, estimates economic capital “bottom-up,” that is, we:<br />

– Determ<strong>in</strong>e economic capital for each of the three types of risk<br />

separately, transaction by transaction, at a consistent time horizon<br />

(H) <strong>and</strong> confidence level, <strong>and</strong> then aggregate the capital<br />

requirements with<strong>in</strong> that risk type. 169 Note that, therefore—unlike<br />

what is often done for limit<strong>in</strong>g <strong>and</strong> management purposes—<br />

only the marg<strong>in</strong>al risk contribution of a s<strong>in</strong>gle transaction to the<br />

(total) portfolio risk (of that risk type) counts.<br />

– Then aggregate economic capital across the three types of risk <strong>in</strong><br />

a second step by us<strong>in</strong>g the correlations between these three categories,<br />

because this seems to be the only realistic way to ac<strong>com</strong>plish<br />

aggregation up to the bank level.<br />

Second, uses a newly suggested “top-down” approach to provide a<br />

mean<strong>in</strong>gful check for the bottom-up results.<br />

Ways to Determ<strong>in</strong>e Economic Capital for Various<br />

<strong>Risk</strong> Types <strong>in</strong> Banks (Bottom-Up)<br />

In this section, we will discuss how economic capital can be calculated from<br />

the bottom up for the various types of risk <strong>in</strong>troduced previously. We<br />

will start with credit risk, followed by market risk, <strong>and</strong> then operational<br />

risk. We will close this section by discuss<strong>in</strong>g potential ways of aggregat<strong>in</strong>g<br />

economic capital across these three types of risk <strong>and</strong> concerns with us<strong>in</strong>g<br />

such a bottom-up approach.<br />

Credit <strong>Risk</strong> In this section we will first def<strong>in</strong>e what credit risk is. We will<br />

then discuss the steps to derive economic capital for credit risk <strong>and</strong> the<br />

problems related to this approach.<br />

Def<strong>in</strong>ition of Credit <strong>Risk</strong> Credit risk is the risk that arises from any nonpayment<br />

or reschedul<strong>in</strong>g of any promised payments (i.e., default-related events)<br />

or from (unexpected) credit migrations (i.e., events that are related to changes<br />

<strong>in</strong> the credit quality of a borrower) of a loan 170 <strong>and</strong> that gives rise to an<br />

economic loss to the bank. 171 This <strong>in</strong>cludes events result<strong>in</strong>g from changes <strong>in</strong><br />

169 This, of course, assumes that our total risk measure can be broken down to the<br />

s<strong>in</strong>gle transaction level.<br />

170 This <strong>in</strong>cludes all credit exposures of the bank, such as bonds, customer credits,<br />

credit cards, derivatives, <strong>and</strong> so on.<br />

171 See Ong (1999), p. 56. Rolfes (1999), p. 332, also dist<strong>in</strong>guishes between default<br />

risk <strong>and</strong> migration risk.

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