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Company Valuation Under IFRS : Interpreting and Forecasting ...

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

Starting with the equity page, we have assumed that the company buys back 27<br />

million shares at €36.76 a share, with a total cost of €1 billion. This is a relatively<br />

large buy-back, but still leaves the company with adequate shareholders funds to<br />

maintain its dividend policy. If you turn to the balance sheet you will see the<br />

impact of the buy-back on the equity of the company <strong>and</strong> on its retained earnings.<br />

In the profit <strong>and</strong> loss account, the impact of lower interest receipts fewer shares<br />

<strong>and</strong> higher earnings per share are all visible.<br />

To construct a TVW model, we need two additions to the methodology used in<br />

the last section. Firstly, we need to deleverage the company’s Beta, so that it can<br />

be releveraged each year to reflect different market gearing. Secondly, we need<br />

to rearrange the valuation model so that it applies each annual discount rate<br />

successively to the stream of cash flow or profits. Let us start with the discount<br />

rate. The deleverage page of the model contains some of the information previously<br />

provided on the discount rate page (we have excluded the debt calculations as they<br />

remain unchanged), but shows the figures used to deleverage Metro’s Beta <strong>and</strong> to<br />

derive a deleveraged cost of equity. This cost of equity will be releveraged each<br />

year as part of an annual WACC calculation.<br />

On the valuation page, there are two important differences between the<br />

calculations as done here, <strong>and</strong> as done above. As with the discount rate, some of<br />

the information on the previous calculation has been left out, so that we can<br />

concentrate on the new elements.<br />

First, rather than each item of cash flow or economic profit being discounted<br />

once if it occurs in year one, twice if it occurs in year two, <strong>and</strong> so on, here we<br />

have to work backwards from the end. So the terminal value is discounted at its<br />

own discount rate. Then, it <strong>and</strong> the cash flow or economic profit for year five are<br />

both discounted back for one year at the discount rate for year five. In year four,<br />

the start year five value <strong>and</strong> year four cash flow or economic profit is discounted<br />

at the unique rate for year four, <strong>and</strong> so on back to year one. The effect of this is<br />

that an item that relates to the terminal value is discounted at six different rates<br />

as it migrates back to start 2004.<br />

This would be a pointless restatement of what happens in a normal model (you<br />

can restate any model to work this way) unless it were coupled with an individual<br />

reworking of the discount rate each year. The insight here, explained in Chapter<br />

two, is that there is only one combination of value for equity, ratio of market<br />

values of debt to equity, <strong>and</strong> discount rate, that leaves them all compatible with<br />

one another. So each year gets its own discount rate, <strong>and</strong> changing the level of<br />

projected debt by repurchasing shares alters the rate for that year <strong>and</strong> for<br />

subsequent years. In terms of the model reproduced above, the net debt number<br />

is that forecast in the company’s projected accounts, but the enterprise value is a<br />

function of the TVW, <strong>and</strong> the TVW is a function of the enterprise value.<br />

We should note that the leveraging <strong>and</strong> deleveraging uses the formula that<br />

assumes that the tax shelter is discounted at the unleveraged cost of equity, so that:<br />

B L = B A * (1+D/E)<br />

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