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Capital Structure <strong>in</strong> Banks 201<br />

■<br />

■<br />

expected losses, 323 the bank should either calculate an <strong>in</strong>ternal <strong>in</strong>surance<br />

premium (similar to expected losses for credit risk) or should<br />

buy <strong>in</strong>surance at a premium. For the rema<strong>in</strong><strong>in</strong>g (small) probability<br />

that event risks outside the three sigma range lead to larger losses,<br />

the bank should hold economic capital (see below). 324<br />

Banks should <strong>in</strong>sure as much of the risk of experienc<strong>in</strong>g major event<br />

losses as they can. Even though buy<strong>in</strong>g <strong>in</strong>surance externally is frequently<br />

perceived as expensive because of the direct <strong>and</strong> observable<br />

costs that are associated with it, buy<strong>in</strong>g catastrophe <strong>in</strong>surance might<br />

be the most appropriate way to hedge aga<strong>in</strong>st event risk. 325 Despite<br />

the fact that such catastrophe <strong>in</strong>surance for banks is more or less <strong>in</strong><br />

the early stage of development, 326 <strong>in</strong>surance <strong>com</strong>panies now offer<br />

mitigation options at <strong>com</strong>petitive prices. 327 Therefore, the other<br />

available option, to try <strong>and</strong> exploit the <strong>in</strong>ternal potential for self<strong>in</strong>surance,<br />

seems to be less attractive but should be used where appropriate,<br />

that is, where the market price is higher.<br />

Assum<strong>in</strong>g that a bank has <strong>in</strong>sured itself up to its <strong>in</strong>tended level <strong>and</strong><br />

has executed controls to the extent desired, the bank should hold<br />

economic capital for the rema<strong>in</strong><strong>in</strong>g part of its event risks; the derivation<br />

of the amount of this economic capital will be discussed <strong>in</strong><br />

detail below.<br />

The Derivation of Economic Capital for Rema<strong>in</strong><strong>in</strong>g Event <strong>Risk</strong>s As already mentioned,<br />

event risk has no upside potential. Therefore, the methodology to determ<strong>in</strong>e<br />

economic capital for event risk should be similar to the one for determ<strong>in</strong><strong>in</strong>g<br />

economic capital for credit risk, especially with respect to the<br />

fact that an event can occur with probability PE H<br />

or not with probability<br />

(1 – PE H<br />

) at any time over the predeterm<strong>in</strong>ed time horizon up to H. 328 In<br />

a manner similar to that used <strong>in</strong> the credit risk framework, we can also<br />

estimate the expected size of the loss at any time up to H <strong>and</strong> can, hence,<br />

determ<strong>in</strong>e an expected loss (<strong>in</strong> dollar terms) for event risks (EL ER<br />

). As for<br />

323 One could also rate/score the underly<strong>in</strong>g processes <strong>and</strong> calibrate them to probabilities<br />

of occurrence (despite the fact that there is very little historical data to do<br />

so), see Buhr (2000), pp. 203–205, <strong>and</strong> then determ<strong>in</strong>e expected losses <strong>and</strong> <strong>in</strong> a VaRlike<br />

approach the required economic capital amount.<br />

324 See Lam <strong>and</strong> Cameron (1999), p. 83.<br />

325 See Damodaran (1997), p. 777, <strong>and</strong> Lam <strong>and</strong> Cameron (1999), p. 88.<br />

326 Banks have only just realized the potential for large losses s<strong>in</strong>ce they have been<br />

try<strong>in</strong>g to measure event risks.<br />

327 See Wills et al. (1999), pp. 79–81 <strong>and</strong> 111.<br />

328 S<strong>in</strong>ce we will use a consistent time horizon of one year, aga<strong>in</strong> we will drop time<br />

<strong>in</strong>dex H from our discussion.

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