Use the following information to answer the next two questions. The following project is under consideration by Riviera Holdings Corp. Riviera's requires a 13% rate of return on projects of this nature.
Year 0: Cash Flow -$17,000,000
Year 1: Cash Flow +$10,000,000
Year 2: Cash Flow +$8,000,000
Year 3: Cash Flow +$4,000,000
Year 4: Cash Flow +$6,000,000
What is the profitability index of the project?
a. 1.36
b. 1.30
c. 1.22
d. 1.65
e. 1.27
Answer e.1.27
Profitability Index = Present Value of Future cash flow / Initial Investment Required
= $21,568,400 / $17,000,000
=1.27
Calculation of present value of Future cash flow
Year | Cashflow | DF @ 13% | PV |
1 | $ 10,000,000 | 0.8850 | $ 8,850,000 |
2 | $ 8,000,000 | 0.7832 | $ 6,265,600 |
3 | $ 4,000,000 | 0.6931 | $ 2,772,400 |
4 | $ 6,000,000 | 0.6134 | $ 3,680,400 |
PV of future cash flow | $ 21,568,400 |
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