Question

A project has the following cash flows for years 1 through 3 respectively: 1,518, 1,850, 1,321....

A project has the following cash flows for years 1 through 3 respectively: 1,518, 1,850, 1,321. Using a discount rate of 8.9 percent, it has been determined that the profitability index is 0.91. What must the project's initial cost be? (Enter absolute value of the initial cost.)

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Answer #1

profitability index = Present Value of cash Inflows / Present Value of cash Outflows

0.91= $ 3,976.78 /  Present Value of cash Outflows

or Present Value of cash Outflows = $ 3,976.78 / 0.91

= $ 4,370.087912

= $ 4,370

Hence the correct answer is $ 4,370

Note :

Present Value of cash Inflows =

= $ 1,518 * 1/(1.089) ^ 1 + $ 1,850  * 1/(1.089) ^ 2 + $ 1,321  * 1/(1.089) ^ 3

= $ 3,976.78

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