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A project with a profitability index of 1

Finance Aug 05, 2020

A project with a profitability index of 1.262 is expected to provide cash flows of $140, $167, $50, and $163 over the next four years, respectively. If the required return is 8.5%, what is the project's initial cost? Round your final answer to the nearest whole dollar, and leave out the "$" sign.

Expert Solution

Profitability index =

present value of cashflows / initial investment

Calculation of present value of cashflows

Given required rate of return = 8.5%

$140*0.922 +$167*0.849+$50*0.783+$163*0.722=$427.7

. Total of PV of cash flows =$427.7

Given profitability index = 1.262

1.262 = $427.7/Intial investement

So intial investment = $427.7/1.262

Initial investment = 338.91 or 339(nearest dollar)

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