Question

Widget Corp. is expected to generate a free cash flow (FCF) of $12,370.00 million this year (FCF₁ = $12,370.00 million), and the FCF is expected to grow at a rate of 26.20% over the following two years (FCF₂ and FCF₃). After the third year, however, the FCF is expected to grow at a constant rate of 4.26% per year, which will last forever (FCF₄). Assume the firm has no nonoperating assets. If Widget Corp.’s weighted average cost of capital (WACC) is 12.78%, what is the current total firm value of Widget Corp.? (Note: Round all intermediate calculations to two decimal places.)

Widget Corp.’s debt has a market value of $153,778 million, and Widget Corp. has no preferred stock. If Widget Corp. has 600 million shares of common stock outstanding, what is Widget Corp.’s estimated intrinsic value per share of common stock? (Note: Round all intermediate calculations to two decimal places.)

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Answer 1

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Answer:

FCF1=12370 MILLION

FCF2=(12370*1.262)=15610.94 million

FCF3=(15610.94*1.262)=$19701.00 million

Value after year 3=(FCF 3*Growth rate)/(WACC-Growth rate)

=(19701*1.0426)/(0.1278-0.0426)=$241082.894 milllion

Hence current total firmvalue=Future FCF*Present value of discounting factor(12.78%,time period)

=12370/1.1278+15610.94/1.1278^2+19701/1.1278^3+241082.894/1.1278^3

=$205037.7283 million(Approx)

Intrinsic value=(Total value-Debt)/Shares outstanding

=(205037.7283-153,778)/600

=85.432 (Approx).