Question

In: Finance

A project is expected to provide cash flows of $10,950, $11,800, $14,900, and $9,400 over the...

A project is expected to provide cash flows of $10,950, $11,800, $14,900, and $9,400 over the next four years, respectively. At a required return of 9.2 percent, the project has a profitability index of 1.363. For this to be true, what is the project's cost at Time 0?

Multiple Choice

$27,862

$51,761

$25,540

Insufficient information.

$43,997

Solutions

Expert Solution

Profitability Index (PI) is calculated as Present value of future cashflows divided by initial investment.
i) Initial Investment Let it be x
ii) Sum of present value of future cashflows 37,975.93
PI (ii/i)           1.363
Year Cashflows Discounting factor present value
1 10950 0.9157509                   10,027.47
2 11800 0.8385997                     9,895.48
3 14900 0.7679485                   11,442.43
4 9400 0.7032495                     6,610.55
Total                   37,975.93
1.363= 37975.93/x
So x=       27,862.02
So correct answer is option a i.e. $27862

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