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

budget<strong>in</strong>g decisions of a transaction i as the sum of the CAPM-determ<strong>in</strong>ed<br />

rate of return (R E,i<br />

) on the <strong>in</strong>vested shareholder capital (V E,i<br />

) <strong>and</strong> the total<br />

risk costs. These, <strong>in</strong> turn, are the product of the required economic capital<br />

of the transaction (EC i<br />

) <strong>and</strong> the (proportional) f<strong>in</strong>ancial distress costs of the<br />

bank (FDC). 140 Therefore:<br />

Required Return i<br />

= R E,i<br />

⋅ V E,i<br />

+ FDC ⋅ EC i<br />

(6.17)<br />

Clearly, <strong>in</strong> this model, hold<strong>in</strong>g risk with<strong>in</strong> a bank portfolio is always<br />

costly. Even though the first <strong>com</strong>ponent of the required return is the fair<br />

market price—which is not costly <strong>in</strong> an economic sense—the second <strong>com</strong>ponent<br />

reflects the costs associated with the contribution of the transaction<br />

to the total risk costs of the bank’s portfolio, which is driven by the actual<br />

capital structure. Hence, the price for hold<strong>in</strong>g risk on one’s own books always<br />

exceeds the costs as paid <strong>in</strong> the market.<br />

Even though this <strong>in</strong>sight might contradict conventional f<strong>in</strong>ancial theory,<br />

it can, on the one h<strong>and</strong>, expla<strong>in</strong> the <strong>in</strong>terdependence of risk-management,<br />

capital-budget<strong>in</strong>g, <strong>and</strong> capital-structure decisions <strong>in</strong> a bank when total risk<br />

matters (as depicted <strong>in</strong> the left-h<strong>and</strong> part of Figure 6.9). On the other h<strong>and</strong>,<br />

this fact sheds some more light on the normative theory of risk management<br />

<strong>in</strong> banks. Let us first consider the implications of this model for the riskmanagement<br />

decisions of a bank.<br />

Implications for <strong>Risk</strong>-<strong>Management</strong> Decisions S<strong>in</strong>ce hold<strong>in</strong>g risks on the bank’s own<br />

books is costly, risk management can create value because it can reduce these<br />

costs. A bank has the follow<strong>in</strong>g options to do so:<br />

■<br />

■<br />

Reduce the risk <strong>in</strong> its own portfolio, <strong>and</strong> hence the amount of required<br />

economic capital 141 <strong>and</strong>, therefore, the total risk costs<br />

Reduce the cost of total risk for a given level of economic capital<br />

The ultimate consequence of the first option would be to sell all the<br />

bank’s bus<strong>in</strong>ess <strong>and</strong> <strong>in</strong>vest the proceed<strong>in</strong>gs <strong>in</strong>to risk-free assets. Note that<br />

this is someth<strong>in</strong>g Wilson predicts as a consequence of us<strong>in</strong>g RAROC as a<br />

performance measure. 142 However, this would <strong>in</strong>clude sell<strong>in</strong>g risks where<br />

140 Aga<strong>in</strong>, we do not specify here how these costs are determ<strong>in</strong>ed. This is an issue<br />

for further research; see the “Areas for Further Research” section later <strong>in</strong> this chapter.<br />

Here, it is a constant percentage assigned to the required amount of economic<br />

capital.<br />

141 See Merton <strong>and</strong> Perold (1993), p. 27.<br />

142 See Wilson (1992), p. 114.

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