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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 245<br />

(<strong>Risk</strong>-Adjusted Net In<strong>com</strong>e) – (Cost of Economic Capital) =<br />

= Economic Profit (6.2)<br />

where Cost of Economic Capital = Economic Capital × Hurdle Rate<br />

<strong>and</strong><br />

Hurdle Rate<br />

= Appropriate rate of return for the<br />

<strong>in</strong>vestment as determ<strong>in</strong>ed, for example,<br />

by the CAPM <strong>and</strong> required<br />

by the (equity) <strong>in</strong>vestors = R h E<br />

. 38<br />

This assumes that the risk-adjusted net <strong>in</strong><strong>com</strong>e is a (good) proxy for the<br />

free cash flows to the shareholders at the end of period 1 39 <strong>and</strong> that the<br />

economic capital equals the equity <strong>in</strong>vestment <strong>in</strong> the transaction. We will<br />

discuss the latter part of this assumption <strong>in</strong> more detail <strong>in</strong> the next section.<br />

Note that economic profits are neither account<strong>in</strong>g profits nor cash flows.<br />

They rather represent the contribution of a transaction to the value of the<br />

firm by consider<strong>in</strong>g the opportunity cost of the capital that f<strong>in</strong>ances the<br />

transaction. 40 If the economic profit is larger than zero, this value contribution<br />

is positive, otherwise negative (i.e., value is destroyed).<br />

Given this transformation of RAROC <strong>in</strong>to economic profits, it is easy<br />

to show—by rearrang<strong>in</strong>g the terms—that to f<strong>in</strong>d out whether a transaction<br />

creates or destroys value, it is sufficient to <strong>com</strong>pare the calculated RAROC<br />

with the hurdle rate. 41 As long as the RAROC of a transaction exceeds the<br />

shareholders’ m<strong>in</strong>imum required rate of return (i.e., the cost of equity or<br />

hurdle rate), then a transaction is judged to create value for the bank. 42<br />

Otherwise, it will destroy value.<br />

Advantages of RAROC<br />

One of the most obvious advantages of RAROC is that it is the only performance<br />

measure <strong>and</strong> capital-budget<strong>in</strong>g tool that reflects the bank’s concern<br />

with total risk by us<strong>in</strong>g a risk measure (economic capital) that is—as we<br />

38 Note aga<strong>in</strong> that the CAPM (beta) does not consider the risk <strong>and</strong> the costs associated<br />

with default. See Crouhy et al. (1999), p. 5.<br />

39 Uyemura et al. (1996) suggest four adjustments to reported bank account<strong>in</strong>g earn<strong>in</strong>gs<br />

to transform them <strong>in</strong>to a proxy for free cash flows: (1) actual charge-offs <strong>in</strong>stead<br />

of loan loss provisions, (2) cash taxes rather than tax provisions, (3) exclusion of<br />

securities ga<strong>in</strong>s <strong>and</strong> losses, (4) consideration of nonrecurr<strong>in</strong>g events as an adjustment<br />

to either earn<strong>in</strong>gs or capital.<br />

40 What that opportunity cost should be will also be addressed below.<br />

41 See, for example, Schröck (1997), p. 154.<br />

42 See Zaik et al. (1996), p. 87.

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