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Allied Biscuit Co. is expected to generate a free cash flow (FCF) of $8,140.00 million this year (FCF₁ = $8,140.00 million), and the FCF is expected to grow at a rate of 19.00% over the following two years (FCF₂ and FCF₃). After the third year, however, the FCF is expected to grow at a constant rate of 2.10% per year, which will last forever (FCF₄). Assume the firm has no nonoperating assets. If Allied Biscuit Co.’s weighted average cost of capital (WACC) is 6.30%, what is the current total firm value of Allied Biscuit Co.? (Note: Round all intermediate calculations to two decimal places.)

a. $46,307.12 million
b. $548,735.93 million
c. $464,594.48 million
d. $557,513.38 million

1 Answer

5 votes

Answer:

The answer is $259,116.04 million

Step-by-step explanation:

The current total firm value of Allied Biscuit Co will be equal to the present value of future cash flow of the firm.

Present value of FCF1 = 8,140 million / 1.063 = $7,657.57 million;

Present value of FCF2 = (8,140 x 1.19) / 1.063^2 = $8,572.45 million;

Present value of FCF3 = (8,140 x 1.19^2) / 1.063^3 = $9,596.63 million.

Present value of the growing perpetuity at 2% of cash flow after year 3:

[ (8,140 x 1.19^2 x 1.021) / ( 6.3% - 2.1%) ] / 1.063^3 = $233,289.39 million.

So, the current total firm value:

7,657.57 + 8,572.45 + 9,596.63 + 233,289.39 = $259,116.04 million.

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