In: Finance
A project with an initial cost of $30,700 is expected to provide cash flows of $10,950, $11,800, $14,900, and $9,400 over the next four years, respectively. If the required return is 9.2 percent, what is the project's profitability index?
1.392
1.031
1.134
1.237
.808
Ans 1.237
Year | Project Cash Flows (i) | DF@ 9.2% | DF@ 9.2% (ii) | PV of Project A ( (i) * (ii) ) |
1 | 10950 | 1/((1+9.2%)^1) | 0.916 | 10,027.47 |
2 | 11800 | 1/((1+9.2%)^2) | 0.839 | 9,895.48 |
3 | 14900 | 1/((1+9.2%)^3) | 0.768 | 11,442.43 |
4 | 9400 | 1/((1+9.2%)^4) | 0.703 | 6,610.55 |
TOTAL | 37,975.93 | |||
PROFITABILITY INDEX = | PRESENT VALUE OF CASH INFLOWS / CASH OUTFLOW | |||
37975.93 / 30700 | ||||
1.237 |