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

Taxes <strong>and</strong> Other Market Imperfections<br />

as Rationales for <strong>Risk</strong> <strong>Management</strong><br />

In the first part of this section, we will discuss the effects of taxes <strong>and</strong> how<br />

risk management can help to reduce them <strong>in</strong> order to <strong>in</strong>crease firm value. In<br />

the second part of this section, we will turn to other market imperfections<br />

neglected so far <strong>and</strong> discuss how risk management can be used for value<br />

creation with<strong>in</strong> their context.<br />

Taxes So far, we have neglected the fact that firms have to pay taxes. S<strong>in</strong>ce<br />

taxes are an important <strong>com</strong>ponent of do<strong>in</strong>g bus<strong>in</strong>ess <strong>and</strong> tax sav<strong>in</strong>gs can<br />

substantially <strong>in</strong>fluence the firm value, optimally all valuations should be<br />

conducted on an after-tax basis. Equation (2.1) for determ<strong>in</strong><strong>in</strong>g the firm<br />

value, therefore, needs to be adjusted <strong>in</strong> one of the follow<strong>in</strong>g two ways:<br />

■<br />

■<br />

Both the cash flows <strong>in</strong> the numerator <strong>and</strong> the discount rate(s) <strong>in</strong> the<br />

denom<strong>in</strong>ator are now to be estimated on an after-tax basis.<br />

Alternately, we can—while ignor<strong>in</strong>g for the moment f<strong>in</strong>ancial distress<br />

costs as derived <strong>in</strong> the last section—use an adjusted present<br />

value (APV) approach to derive the after-tax firm value: 338<br />

Firm <strong>Value</strong> = Firm <strong>Value</strong> without Taxes 339 – PV(Tax Effects) (3.5)<br />

As is immediately obvious from Equation (3.5), decreas<strong>in</strong>g the present<br />

value of the tax payments can <strong>in</strong>crease the firm value. However, that is an<br />

overall firm objective. The question <strong>in</strong> this section is how risk management<br />

can help to achieve this goal.<br />

There are two conditions necessary—as we will describe <strong>in</strong> more detail<br />

below—for a risk-management strategy to generate tax benefits: 340<br />

■<br />

■<br />

The tax schedule must be convex.<br />

Some portion of the range for pretax <strong>in</strong><strong>com</strong>e needs to lie with<strong>in</strong> the<br />

convex section of the tax schedule.<br />

A convex tax schedule is def<strong>in</strong>ed as one <strong>in</strong> which the firm’s average<br />

effective tax rate rises as pretax <strong>in</strong><strong>com</strong>e 341 rises, 342 that is, when the marg<strong>in</strong>al<br />

tax rate exceeds the average tax rate, as depicted <strong>in</strong> Figure 3.8.<br />

338 See Brealey <strong>and</strong> Myers (1991), pp. 458+.<br />

339 As derived <strong>in</strong> Equation (2.1).<br />

340 See Smithson et al. (1990), pp. 366–367.<br />

341 As taken from the f<strong>in</strong>ancial report<strong>in</strong>g.<br />

342 See Smithson et al. (1995), p. 102, <strong>and</strong> Smithson (1998), p. 7.

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