In: Finance
A project has an initial cost of $49,125, expected net cash inflows of $10,000 per year for 10 years, and a cost of capital of 13%. What is the project's PI? Do not round your intermediate calculations. Round your answer to two decimal places. Pls show all steps
Ans 1.10
Year | Project Cash Flows (i) | DF@ 13% | DF@ 13% (ii) | PV of Project ( (i) * (ii) ) |
1 | 10000 | 1/((1+13%)^1) | 0.885 | 8,849.56 |
2 | 10000 | 1/((1+13%)^2) | 0.783 | 7,831.47 |
3 | 10000 | 1/((1+13%)^3) | 0.693 | 6,930.50 |
4 | 10000 | 1/((1+13%)^4) | 0.613 | 6,133.19 |
5 | 10000 | 1/((1+13%)^5) | 0.543 | 5,427.60 |
6 | 10000 | 1/((1+13%)^6) | 0.480 | 4,803.19 |
7 | 10000 | 1/((1+13%)^7) | 0.425 | 4,250.61 |
8 | 10000 | 1/((1+13%)^8) | 0.376 | 3,761.60 |
9 | 10000 | 1/((1+13%)^9) | 0.333 | 3,328.85 |
10 | 10000 | 1/((1+13%)^10) | 0.295 | 2,945.88 |
PV | 54,262.43 | |||
Total of PV of Cash Inflows | 54262.43 | |||
Cash Outflows | 49125 | |||
Profitability Index = | 1.10 | |||
Present value of cash Inflow / Initial Investment (Cash Outflows) | (54262.43 / 49125) |