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Colt Systems will have EBIT this coming year of $33 million. It will also spend

ID: 2780793 • Letter: C

Question

Colt Systems will have EBIT this coming year of $33 million. It will also spend $12 million on total capital expenditures and increases in net working capital, and have $5 million in depreciation expenses. Colt is currently an all-equity firm with a a. If Colt's free cash flows are expected to grow by 10.1% per year, what is the market value of its equity today? b. If the interest rate on its debt is 10%, how much can Colt borrow now and still have non-negative net income this coming year? C. Is there a tax incentive today for Colt to choose a debt-to-value ratio that exceeds 57%? Explain

Explanation / Answer

a. market value of equity = free cash flow / (cost of capital - growth rate)

here,

free cash flow = EBIT *( 1 - tax rate) + depreciation - (capital expenditure and net working capital increases)

=>$33 million * (1 - 0.38) + $5 million - $12 million

=>$13.46 million.

market value of equity = $13.46 / (0.12 - 0.101)

=>$708.42 million (rounded to two decimals).

b. interest rate = 10%

the amount to be borrowed to have non negative net income = current EBIT / interest rate

=>$33 million / 0.10

=>$330 million.

c. if debt to value ratio exceeds 57%

minimum debt value = market value * 57%

=>$708.42 * 57%

=>$403.7994. million.

This amount is greater than the maximum amount to be borrowed of $33 million (as determined in b .above).

SO , there is no tax incentive today for colt to choose a debt to value ratio that exceeds 57%.