The owner of a number of gas stations is considering installing coffee machines in his gas stations. It will cost $280,000 to install the coffee machines, and they are expected to boost cash flow by $120,000 per year for their five-year working life. What must the cost of capital be if the investment has a profitability index of 1.07?
Initial Investment = $280,000
Annual Cash Flow = $120,000
Working Life = 5 years
Profitability Index = Present Value of Cash Flows / Initial
Investment
1.07 = Present Value of Cash Flows / $280,000
Present Value of Cash Flows = $299,600
Let Cost of Capital be i%
Present Value of Cash Flows = Annual Cash Flow * PVA of $1 (i%,
n)
$299,600 = $120,000 * PVA of $1 (i%, 5)
Using financial calculator:
N = 5
PV = -299600
PMT = 120000
FV = 0
I = 28.72%
Cost of Capital = 28.72%
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