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Company Valuation Under IFRS : Interpreting and Forecasting ...

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

Exhibit 2.27: The components of an option price<br />

dThe Components of an Option Price<br />

The time value of an option is the option price minus the intrinsic value.<br />

Call Option<br />

Time Value<br />

Exercise<br />

Price<br />

Intrinsic<br />

Value<br />

<strong>Under</strong>lying<br />

Stock Price<br />

An example: Vivendi Universal<br />

The tables <strong>and</strong> charts in Exhibit 2.28 illustrate a valuation of the equity <strong>and</strong> debt<br />

in Vivendi Universal, at the high point of worries surrounding its debt level, in<br />

April 2003. It is fairly self-explanatory, though it should be noted that the<br />

valuation <strong>and</strong> forecast cash flows on part 2 of the model were those produced by<br />

an investment analyst at the time, based on information then available. Because<br />

the volatility of the underlying assets is not directly visible, this is derived in part<br />

3 using the st<strong>and</strong>ard two-asset variance-covariance model, as illustrated in the<br />

BP/British Airways portfolio discussed above. The Black-Scholes model in part<br />

5 is adjusted to take loss of cash flow into account when valuing the option, <strong>and</strong><br />

a period of two years was taken to be the life of the option, as that was the point<br />

at which a significant tranche of Vivendi’s debt was payable. The chart illustrates<br />

the extent to which the company’s equity was undervalued, <strong>and</strong> its debt<br />

overvalued, even if the fair asset values on which it was based were correct.<br />

The commonsense way to think about this is to argue that if a company has an<br />

enterprise value that is very close to the par value of its debt, then there is a<br />

significant risk that it will default on its debt. So the debt must trade at a discount<br />

to its par value. In Vivendi’s case it was trading at 95 per cent of its value, but the<br />

model implied that it should at the time have been trading at 74 per cent of its<br />

value. If value is being subtracted from the debt then it is being added to the<br />

equity. So the model shows that, if the valuations on which it is based were<br />

60

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