In: Finance
Compute the PI statistic for Project X and note whether the firm should accept or reject the project with the cash flows shown below if the appropriate cost of capital is 6 percent. Time: 0 1 2 3 4 5 Cash flow:-84 -84 0 109 84 59
Ans) 1.46, The firm should accept the project since PI is greater than 1.
| Year | Project Cash Flows (i) | DF@ 6% | DF@ 6% (ii) | PV of Project A ( (i) * (ii) ) |
| 1 | -84 | 1/((1+6%)^1) | 0.943 | (79.25) |
| 2 | 0 | 1/((1+6%)^2) | 0.890 | - |
| 3 | 109 | 1/((1+6%)^3) | 0.840 | 91.52 |
| 4 | 84 | 1/((1+6%)^4) | 0.792 | 66.54 |
| 5 | 59 | 1/((1+6%)^5) | 0.747 | 44.09 |
| Total | 122.90 | |||
| Total of PV of Cash Inflows | 122.90 | |||
| Cash Outflows | 84 | |||
| Profitability Index = | 1.46 | |||
| Present value of cash Inflow / Initial Investment (Cash Outflows) | (122.90 / 84) | |||