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

<strong>in</strong>g from difficulties a firm may have <strong>in</strong> cop<strong>in</strong>g with its debt service. 283 S<strong>in</strong>ce<br />

the M&M world assumes that there are either no f<strong>in</strong>ancial distress situations<br />

at all or no costs associated with them, a change <strong>in</strong> the probability of<br />

encounter<strong>in</strong>g f<strong>in</strong>ancial distress does not affect firm value <strong>in</strong> this world. As<br />

depicted <strong>in</strong> Figure 3.7, <strong>in</strong> such a world a change <strong>in</strong> the firm value after f<strong>in</strong>ancial<br />

distress costs (especially as shown <strong>in</strong> the dotted l<strong>in</strong>e beyond the default<br />

po<strong>in</strong>t (DP), which is irrelevant <strong>in</strong> this world) is a l<strong>in</strong>ear function of the changes<br />

<strong>in</strong> the firm value before f<strong>in</strong>ancial distress costs.<br />

However, if f<strong>in</strong>ancial distress is costly, firms have an <strong>in</strong>centive to reduce<br />

its probability of occurrence, 284 that is, to narrow the distribution (or the<br />

variance) of firm values, because it leads to a nonl<strong>in</strong>ear relationship between<br />

the firm value before <strong>and</strong> after f<strong>in</strong>ancial distress costs. This can <strong>in</strong>crease firm<br />

value because one can def<strong>in</strong>e:<br />

Firm <strong>Value</strong> = Firm <strong>Value</strong> without Transaction Costs<br />

– PV(Expected F<strong>in</strong>ancial Distress Costs) 285<br />

(3.3)<br />

Firm <strong>Value</strong><br />

after F<strong>in</strong>ancial<br />

Distress Costs<br />

Probability<br />

DP<br />

Without<br />

default<br />

costs<br />

With<br />

default<br />

costs<br />

DP<br />

Figure 3.7 Influence of bankruptcy costs on firm value.<br />

Source: Adapted from Stulz (1996), p. 16.<br />

Firm <strong>Value</strong><br />

before F<strong>in</strong>ancial<br />

Distress Costs<br />

283 See Stulz (2000), p. 3-39.<br />

284 See Mian (1996), p. 420.<br />

285 This approach (as suggested by Stulz (2000), p. 3-7) is similar to the Adjusted<br />

Present <strong>Value</strong> concept suggested by Brealey <strong>and</strong> Myers (1991), p. 458. However it<br />

assumes—for the time be<strong>in</strong>g—that f<strong>in</strong>ancial distress costs are the only market imperfections.

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