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Company Valuation Under IFRS : Interpreting and Forecasting ...

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

One advantage of the latter is that there is no presumption, if one is thinking in<br />

terms of profits rather than dividends, that there is any particular cash flow<br />

attached to the calculation. Accrued benefits or charges are intuitively fine within<br />

the residual income framework. This is less true for discounted dividend or<br />

discounted cash flow models, since it seems highly counter-intuitive to start with<br />

a stream of cash <strong>and</strong> then to deduct part of it <strong>and</strong> add on unrealised gains to get<br />

to a reasonable valuation. But that is what you have to do if the model is to<br />

produce a reasonable valuation. This is why many academics prefer residual<br />

income-type models.<br />

6. Introducing debt<br />

We started with a constant growth company which was only financed by equity,<br />

<strong>and</strong> discovered that even that could only be properly analysed with reference to<br />

accounting entities such as profits <strong>and</strong> balance sheets. We then made matters<br />

worse by accepting that whatever the form of our model, it would to have to take<br />

account of accruals. We then generalised it to relax the constant growth<br />

assumption, which made no difference to anything, except that it is not<br />

practicable to forecast individual years to infinity. But however far forward we<br />

project individual years, that represents no methodological problem, just a<br />

practical one.<br />

Now we are going to relax the assumption of no debt (or cash) in the balance<br />

sheet. Intuitively, it should make no difference whether we discount cash flows<br />

to capital at a cost of capital or cash flows to equity at a cost of equity. Again, we<br />

leave the proof to the Appendix, but the point is that:<br />

V E = V F -V D<br />

where the three values st<strong>and</strong> for equity, the total firm, <strong>and</strong> debt, respectively. What<br />

we need to know is that it makes no difference whether we value equity directly as:<br />

V E = D*(1+g)/(k-g)<br />

or as:<br />

V E = FCF*(1+g)/(WACC-g)-V D<br />

where FCF is last year’s free cash flow, <strong>and</strong> WACC is the weighted average cost<br />

of capital.<br />

Free cash flow is calculated as being after a notional taxation rate, which is levied<br />

on operating profit, to derive a so-called Net Operating Profit After Taxation<br />

(NOPAT). Exhibit 1.11 shows the calculation of NOPAT <strong>and</strong> free cash flow for a<br />

18

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