You are offered an investment with returns of $ 1,456 in year 1, $ 3,786 in year 2, and $ 4,555 in year 3. The investment will cost you $ 7,320 today. If the appropriate Cost of Capital (quoted interest rate) is 8.3 %, what is the Profitability Index of the investment? Enter your answer to the nearest .01. Do not use the $ sign or commas in your answer. If the NPV is negative, use the - sign.
Project | ||||
Discount rate | 8.300% | |||
Year | 0 | 1 | 2 | 3 |
Cash flow stream | -7320 | 1456 | 3786 | 4555 |
Discounting factor | 1.000 | 1.083 | 1.173 | 1.270 |
Discounted cash flows project | -7320.000 | 1344.414 | 3227.927 | 3585.940 |
NPV = Sum of discounted cash flows | ||||
NPV Project = | 838.28 | |||
Where | ||||
Discounting factor = | (1 + discount rate)^(Corresponding period in years) | |||
Discounted Cashflow= | Cash flow stream/discounting factor | |||
PI= (NPV+initial inv.)/initial inv. | ||||
=(838.28+7320)/7320 | ||||
1.11 |
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