You are a consultant who has been hired to evaluate a new product line for Marku
ID: 2798142 • Letter: Y
Question
You are a consultant who has been hired to evaluate a new product line for Markum Enterprises. The upfront investment required to launch the product line is
$ 6 million. The product will generate free cash flow of $0.80 million the first year, and this free cash flow is expected to grow at a rate of 6%
per year. Markum has an equity cost of capital of 11.2%, a debt cost of capital of 5.82%, and a tax rate of 35%. Markum maintains a debt-equity ratio of 0.40.
a. What is the NPV of the new product line (including any tax shields from leverage)?
b. How much debt will Markum initially take on as a result of launching this product line?
c. How much of the product line's value is attributable to the present value of interest tax shields?
Explanation / Answer
Initial cost = $6 million
Initial cash flow = 0.8 million
Growth rate = 6%
WACC rate = 11.2% *1/1.4 + 5.8%*(1-0.35)*0.4/1.4
= 8% + 1.077
= 9.077%
Value of new product line = 0.8/ (9.077%-6%) = $26 million
Npv= $26 million – 6 million = $20 million
B
Debt = 26 million* 0.4/1.4 = $7.43 million
C
Wacc without tax shield = 11.2% *1/1.4 + 5.8%*0.4/1.4 = 9.66%
Unlevered value of the product line = 0.8/ ( 9.66%- 6%) = $ 21.86 million
Value of tax shield = $26 m - $21.86 m
= $4.14 million
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