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Company Valuation Under IFRS : Interpreting and Forecasting ...

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<strong>Company</strong> valuation under <strong>IFRS</strong><br />

5. Building in tax shelters<br />

The simplest approach to a tax shelter is to see it as an addition to what the firm<br />

would be worth on an unleveraged basis. In other words, we value the company<br />

on the basis of its unleveraged cost of equity, <strong>and</strong> then add in a value for the cash<br />

that it conserves for its providers of capital, through paying less tax if it is<br />

leveraged than it it is unleveraged. This distortion arises because taxation is<br />

levied on profit after interest payments, so interest is deductible against<br />

corporation tax but dividend payments are not. In effect, what is happening is that<br />

three parties are sharing the operating profits generated: the bondholders, the<br />

government <strong>and</strong> the shareholders (in that order). If the providers of capital shift<br />

the balance from equity to debt, then their combined take increases at the expense<br />

of that of the government.<br />

The conventional WACC/DCF approach is to h<strong>and</strong>le tax shelters by alteration to<br />

the discount rate. This, it is argued, falls as leverage increases (because of the tax<br />

shelter), until the company becomes over-leveraged, <strong>and</strong> distress costs boom, at<br />

which point the discount rate starts to rise dramatically.<br />

Our approach will be rather different. Instead of treating tax shelters as changing<br />

the discount rate we shall begin by valuing them as an independent asset in their<br />

own right, <strong>and</strong> then add the result to the value of the unleveraged assets. This<br />

approach is known as Adjusted Present Value (APV). It will enable us to make<br />

explicit the connections between value <strong>and</strong> growth that get bundled up in the<br />

conventional WACC calculation. The formula that underpins APV is the<br />

following:<br />

V F = V D + V E = V A + V TS - DR<br />

where V F =value of firm, V D =value of debt, V E =value of equity, V A =value of<br />

unleveraged assets, V TS =value of Tax Shelter <strong>and</strong> DR is the value of the default<br />

risk.<br />

The traditional WACC/DCF approach picks up the entire value in one calculation<br />

by adjusting the WACC for the impact of the tax shelter. We shall approach the<br />

valuation of the unleveraged assets <strong>and</strong> the tax shelter separately, <strong>and</strong> then make<br />

sure that we can reconcile our WACC with the APV valuations. As we shall see<br />

the differences between our recommended formulae <strong>and</strong> those in general use<br />

relate to the treatment of the tax shelter both in the formula for leveraging <strong>and</strong><br />

deleveraging equity Betas <strong>and</strong> in the formula for adjusting WACC for changing<br />

leverage, for the same reason in both cases. We shall be discounting the tax<br />

shelter at the unleveraged cost of equity, <strong>and</strong> the st<strong>and</strong>ard approach discounts it<br />

at the gross cost of debt.<br />

The discount rate that should be applied to unleveraged cash flows is obvious. It<br />

is the unleveraged cost of equity. The question is what is the discount rate that<br />

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