In: Finance
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
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 |