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Discounted Cash Flow

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Discounted Cash Flow
REEBY SPORTS

Principles of Corporate Finance
7th Edition

Richard A. Brealey and Stewart C. Myers

George Reeby proposes to sell 90,000 shares, or about 22%, of his company. How much are those shares worth? We have to value the company using George's forecasts.

The forecasts presented in Tables 4.10 and 4.11 do not show free cash flow and financing requirements. These are calculated in Table 1. Note that free cash flow for 2005 is -$2.3 million. But dividends are $2.0, so the company will need 2.3 + 2.0 = $4.3 million in outside equity financing.

Table 2 shows that the book value of equity is forecasted to grow from $40.71 million in 2004 to $63.31 million at the end of 2010. Table 3 works out earnings, dividends and free cash flow for 2011. By that time Reeby Sports should be earning 12% on equity, paying out 40% of earnings, and growing steadily at 7.2% per year. Note that gross investment equals depreciation plus 60% of earnings. s It's easiest to value the company by assuming that its current shareholders contribute all of the $4.3 million required in 2002 and receive all of the free cash flow afterwards. Note from Table 1 that the present value of free cash flow from 2004 to 2010 is $8 million.

Of course there are several ways to calculate PVH, the horizon value in 2010. The constant-growth DCF formula gives

implying a company value in 2003 of:

© 2002, R. A. Brealey and S. C. Myers

Next suppose that Reeby Sports will lose its competitive edge by 2010 and will have no PVGO looking forward from that date. In that case we just capitalize 2011 earnings at 10%:

George also has a "comparable," Molly Sports. The case gives three ratios for Molly:

Ratio 2010 Valuation PV in 2003 Market-to-book = 1.5 1.5 x 63.31 = 94.97 $56.73 million

Price-earnings = 12 12 x 7.60 = 91.20 $54.80 million

Dividend yield = .03
$60.00 million

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