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Risk Management and Value Creation in ... - Arabictrader.com

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Capital Budget<strong>in</strong>g <strong>in</strong> Banks 265<br />

■<br />

■<br />

It is not necessary that a bank aligns its actual equity capital with<br />

economic capital, because shareholders only bear one tranche of the<br />

default risk among others.<br />

Economic capital is, <strong>in</strong> general, <strong>in</strong>dependent from the choice of the<br />

actual capital structure. 106 However, the actual capital structure does<br />

not determ<strong>in</strong>e the cost of total risk.<br />

Required Hurdle Rate Return of RAROC Sett<strong>in</strong>g the hurdle rate <strong>in</strong> the RAROC<br />

approach is eventually a normative management action. However, it should<br />

be based on proper f<strong>in</strong>ancial theory foundations 107 <strong>in</strong> order to <strong>in</strong>dicate<br />

whether value is created or not.<br />

Per our RAROC def<strong>in</strong>ition above, the hurdle rate is chosen to be consistent<br />

with the CAPM required return—either at the bank level or at the<br />

transaction level. This creates two serious problems, which are demonstrated<br />

<strong>in</strong> the follow<strong>in</strong>g example.<br />

We know from the discussion <strong>in</strong> the previous chapter that economic<br />

capital is a total risk measure that <strong>in</strong>cludes both systematic <strong>and</strong> unsystematic<br />

risks. 108 We assume for our example the follow<strong>in</strong>g split of economic<br />

capital between the three types of risk (see Table 6.2). 109<br />

We know from our previous discussion that, typically, operational risk<br />

is mostly idiosyncratic or firm-specific risk. The same is true for parts of<br />

the credit portfolio s<strong>in</strong>ce we assume that the bank does not hold a fully<br />

diversified portfolio, because it conta<strong>in</strong>s regional <strong>and</strong> customer-specific concentration<br />

risk. Because the market risk portfolio is rather diversified, we<br />

assume the follow<strong>in</strong>g split between systematic <strong>and</strong> specific risk, <strong>in</strong> a CAPM<br />

sense, for our example (see Table 6.3).<br />

Table 6.2<br />

<strong>Risk</strong> Type<br />

Split of Economic Capital among Types of <strong>Risk</strong><br />

Economic Capital<br />

(<strong>in</strong> Dollars)<br />

Credit <strong>Risk</strong> 50<br />

Market <strong>Risk</strong> 20<br />

Operational <strong>Risk</strong> 30<br />

Total 100<br />

106 As we showed <strong>in</strong> the beg<strong>in</strong>n<strong>in</strong>g of Chapter 5, the optimal capital structure is set<br />

as a trade-off between various marg<strong>in</strong>al costs <strong>and</strong> benefits.<br />

107 See Schmittmann et al. (1996), p. 649.<br />

108 See Wilson (1992), p. 116.<br />

109 As we have seen above, this split is not atypical for <strong>com</strong>mercial banks.

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