In: Finance
Vail Recreation is analyzing a project that will generate cash flows of $10,650, $11,600, $14,700, and $9,200 over each of the next four years, respectively. The profitability index (PI) is the way they analyze their investment projects. The appropriate required return for a project like this is 9 percent. This project has a PI of 1.347. Based on this information provided, determine the Time 0 cost for this project.
Ans $ 27767.44
Year | Project Cash Flows (i) | DF@ 9% | DF@ 9% (ii) | PV of Project ( (i) * (ii) ) |
1 | 10650 | 1/((1+9%)^1) | 0.917431 | 9,770.64 |
2 | 11600 | 1/((1+9%)^2) | 0.841680 | 9,763.49 |
3 | 14700 | 1/((1+9%)^3) | 0.772183 | 11,351.10 |
4 | 9200 | 1/((1+9%)^4) | 0.708425 | 6,517.51 |
NPV | 37,402.74 | |||
PI = | Present value of cash inflows / Cash outflows | |||
1.347 = | 37402.74 / Cash outflows | |||
Cash Outflows = | 37402.74 / 1.347 | |||
Cash Outflows = | 27767.44 |