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The valuation of the cat food business is based on cash flows of $180,500 per year over a five year period. The target business has the same risk as the firm’s overall operations. The cost of equity is 15 percent and the cost of debt is 3 percent on an after-tax basis. The firm’s capital structure consists of 10 million in equity and 8 million in debt.

What is the most the pet-food manufacturer should pay for acquiring the cat food business per its required return (WACC)?

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Parrain

Answer: $690,044

Explanation:

First calculate WACC.

Total capital = 10 + 8 = $18 million

WACC = (Weight of debt * after-tax cost of debt) + (weight of equity * cost of equity)

= (8/18 * 3%) + (10/18 * 15%)

= 9.67%

Using the WACC, find the present value of the cashflows for the next 5 years. This will be an annuity.

= 180,500 * (1 - (1 + r) ^-n)/r

= 180,500 * ( 1 - ( 1 + 9.67%) ^ -5)/9.67%

= $690,044.67

= $690,044

They should pay no more than this present value.

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