Calculate the profitability index for the cash flows provided in the table below.? Note: The negative cash flow for year 0 is the initial investment for the project. Assume a required rate of return of? 9.00%
Year 0,1,2,3
Cash Flow -$90,000, ?$32,000, ?$32,000, ?$32,000
Profitability Index | 0.90 | ||||||||
Working: | |||||||||
a. | Present value of future cash inflows | ||||||||
Year | Cash flows | Discount factor | Present Value | ||||||
1 | $ 32,000 | 0.9174 | $ 29,357.80 | ||||||
2 | $ 32,000 | 0.8417 | $ 26,933.76 | ||||||
3 | $ 32,000 | 0.7722 | $ 24,709.87 | ||||||
Total | $ 81,001.43 | ||||||||
b. | Profitability Index | = | Present Value of future cash inflows/Initial Investment | ||||||
= | $ 81,001.43 | / | $ 90,000 | ||||||
= | 0.90 | ||||||||
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