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

these costs will lead to a mistake <strong>in</strong> the capital-budget<strong>in</strong>g decision-mak<strong>in</strong>g<br />

process. Hence, the value of a project for a bank is the “traditional” NPV<br />

(as determ<strong>in</strong>ed <strong>in</strong> the neoclassical world) m<strong>in</strong>us the cost of total risk.<br />

Even though Stulz leaves open how these costs of total risk can be<br />

quantified <strong>in</strong> reality, he proves that the total risk costs can be approximated<br />

for small changes <strong>in</strong> the portfolio by a constant <strong>in</strong>cremental cost of economic<br />

capital per unit of economic capital. 133 Note that these costs of total<br />

risk do not disappear, irrespective of whether we deal with risk <strong>in</strong> liquid or<br />

illiquid markets. This puts hold<strong>in</strong>g risk with<strong>in</strong> a bank portfolio always at a<br />

disadvantage vis-à-vis the market.<br />

We can summarize these three two-factor models as follows. All models<br />

agree that a “total risk” <strong>com</strong>ponent <strong>in</strong> addition to the neoclassical capitalbudget<strong>in</strong>g<br />

approach is necessary <strong>in</strong> a world where risk management does<br />

matter to banks <strong>in</strong> order to create value. Even though none of these approaches<br />

shows how one could exactly quantify these total risk costs <strong>in</strong><br />

practice, the “Stulz” approach appears to be the most plausible <strong>and</strong> promis<strong>in</strong>g<br />

for practical purposes for the follow<strong>in</strong>g reasons:<br />

■<br />

■<br />

■<br />

It <strong>in</strong>tegrates a total risk measure (economic capital) that is already<br />

widely used throughout the bank<strong>in</strong>g <strong>in</strong>dustry <strong>in</strong>to the new capitalbudget<strong>in</strong>g<br />

decision rule.<br />

Despite the fact that the total risk <strong>com</strong>ponent does not vanish <strong>in</strong><br />

liquid markets, as, for example, <strong>in</strong> the “Froot <strong>and</strong> Ste<strong>in</strong>” model, 134<br />

it has (as we will show) the best potential to identify transactions<br />

where the bank has <strong>com</strong>petitive advantages <strong>and</strong> can really create<br />

value.<br />

As already mentioned, neither the “Merton <strong>and</strong> Perold” model nor<br />

the “Froot <strong>and</strong> Ste<strong>in</strong>” model seem appropriate for practical purposes.<br />

Both models are impractical because of the unavailability of observable<br />

market data to determ<strong>in</strong>e the costs of the second pric<strong>in</strong>g factor.<br />

Additionally, the latter model seems <strong>in</strong>appropriate because of its<br />

unrealistic conclusion that the bank will only hold nonhedgable risk.<br />

Evaluation of RAROC <strong>in</strong> the Light of the New Approaches<br />

RAROC was <strong>in</strong>itially judged to be a good start<strong>in</strong>g po<strong>in</strong>t for a capitalbudget<strong>in</strong>g<br />

tool <strong>in</strong> banks, because it reflects the concern with total risk. After<br />

evaluat<strong>in</strong>g its usage <strong>in</strong> the light of the new, two-factor models presented<br />

above, it appears that RAROC only works correctly <strong>in</strong> a directional sense<br />

133 See Stulz (2000), p. 4-23, assum<strong>in</strong>g that we can determ<strong>in</strong>e the total cost of risk<br />

for the total amount of economic capital at the bank level.<br />

134 As mentioned above, the exact work<strong>in</strong>gs of this effect are unclear.

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