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

<strong>and</strong> cost levels, 351 it does not depend as heavily on adjusted P&L data as the<br />

previously described approach. Additionally, the Monte Carlo model has<br />

the advantage that it can l<strong>in</strong>k the <strong>in</strong>put parameters volumes <strong>and</strong> marg<strong>in</strong>s (to<br />

model revenues) as well as fixed <strong>and</strong> variable costs to a proper macroeconomic<br />

model. By do<strong>in</strong>g so, the simulation approach is able to consider the<br />

correlations between these <strong>in</strong>put parameters as well as their <strong>in</strong>terrelationship<br />

to the way that market- <strong>and</strong> credit-risk-driven ga<strong>in</strong>s <strong>and</strong> losses will<br />

develop over the projected time horizon <strong>in</strong> the context of the projected<br />

bus<strong>in</strong>ess environment. 352 Moreover, we are also able to consider (fundamental)<br />

changes <strong>in</strong> the <strong>com</strong>petitive environment <strong>and</strong> the marketplace <strong>in</strong> such a<br />

model.<br />

S<strong>in</strong>ce all of these <strong>in</strong>fluenc<strong>in</strong>g factors, <strong>and</strong> especially their <strong>com</strong>mon<br />

movement, can be modeled much more accurately than can be reflected by<br />

just historical observations of account<strong>in</strong>g data, we can estimate both the<br />

distribution of “net” bus<strong>in</strong>ess revenues <strong>and</strong> the threshold level of “fixed”<br />

costs with more confidence. 353 To determ<strong>in</strong>e the required economic capital<br />

for bus<strong>in</strong>ess risk at the desired solvency st<strong>and</strong>ard of the bank, we can follow<br />

the previously described procedure exactly <strong>and</strong> determ<strong>in</strong>e first the α-quantile<br />

of the revenue distribution <strong>and</strong> subtract the simulated, most likely level of<br />

“fixed” costs from that amount.<br />

Both of the approaches previously described provide a similar route to<br />

determ<strong>in</strong>e the required capital amount for bus<strong>in</strong>ess risk. However, it can be<br />

helpful to use a <strong>com</strong>b<strong>in</strong>ation of the two approaches <strong>in</strong> order to make best<br />

use of the available data. Additionally, the results of either of the two approaches<br />

could be <strong>com</strong>pared to the capitalization of <strong>com</strong>panies observable<br />

<strong>in</strong> the market. 354 This approach is especially helpful when bank data does<br />

not supply sufficient <strong>in</strong>formation to determ<strong>in</strong>e the requirement for bus<strong>in</strong>ess<br />

risk capital. Market data of nonbanks engaged <strong>in</strong> bank<strong>in</strong>g-related activities<br />

can fill this gap. Besides address<strong>in</strong>g the difficulty that we then need to assume<br />

that observable book or market capital equals required bus<strong>in</strong>ess risk<br />

capital, a number of other assumptions must be met. The analogue <strong>com</strong>pany<br />

must:<br />

351 If data available are sufficiently granular, this approach can also be applied directly<br />

at the bus<strong>in</strong>ess unit level.<br />

352 For <strong>in</strong>stance, we could model the impact of the economic conditions on (expected)<br />

credit performance, <strong>and</strong> hence losses, or the impact of shifts <strong>in</strong> the <strong>in</strong>terest rate curves<br />

on the treasury result.<br />

353 Of course, the quality of the model is dependent on the stability of the bus<strong>in</strong>ess<br />

<strong>and</strong> the quality <strong>and</strong> quantity of the data available. This requires proper adjustments<br />

for growth, economic cycles, <strong>and</strong> other factors such as <strong>in</strong>flation.<br />

354 Therefore, often called “market analogues.”

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