Och, Inc., is considering a project that will result in initial aftertax cash sa
ID: 2474425 • Letter: O
Question
Och, Inc., is considering a project that will result in initial aftertax cash savings of $1.9 million at the end of the first year, and these savings will grow at a rate of 1 percent per year indefinitely. The company has a target debt–equity ratio of .75, a cost of equity of 13 percent, and an aftertax cost of debt of 5.8 percent. The cost-saving proposal is somewhat riskier than the usual projects the firm undertakes; management uses the subjective approach and applies an adjustment factor of +2 percent to the cost of capital for such risky projects. What is the maximum initial cost the company would be willing to pay for the project
Explanation / Answer
Step 1: Calculation of WACC.
Particulars
Weight
Cost of Debt / Equity (%)
WACC (%)
Debt
0.75
5.8
4.35
Equity
0.25
13
3.25
WACC
7.6
Risk Adjusted factor = +2%
Risk Adjusted WACC = 9.6%
Step 2: Maximum Initial Cost of Company:
Initial After tax cash savings = $1.9 million
Growth rate = 1% indefinitely
Formula:
PV of growing perpetuity = Initial Cash savings / (Rask adjusted WACC – Growth rate)
PV of growing perpetuity = $1.9 million / (9.6% - 1%)
PV of growing perpetuity = $22.09 million
Maximum initial cost the company would be willing to pay for the project = $22.09 million
Particulars
Weight
Cost of Debt / Equity (%)
WACC (%)
Debt
0.75
5.8
4.35
Equity
0.25
13
3.25
WACC
7.6
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