In: Finance
Year t=0 t=1 t=2 t=3 t=4
??? $7,500 $12,500 $15,000 $17,500
The Payback Period of this project is 2.4 years. The appropriate discount rate is 13%. Find the Net Present Value of the project. (Note that the cash flow for t=0 is not provided to you – that is, you must first solve for it).
This will be a negative value
Ans NPV = $ 11555.33
| Year | Project Cash Flows (i) | DF@ 13% (ii) | DF@ 13% (ii) | PV of Project B ( (i) * (ii) ) |
| 0 | -26000 | 1 | 1 | (26,000.00) |
| 1 | 7500 | 1 / (1 + 13%)^1 | 0.885 | 6,637.17 |
| 2 | 12500 | 1 / (1 + 13%)^2 | 0.783 | 9,789.33 |
| 3 | 15000 | 1 / (1 + 13%)^3 | 0.693 | 10,395.75 |
| 4 | 17500 | 1 / (1 + 13%)^4 | 0.613 | 10,733.08 |
| NPV | 11,555.33 | |||
| Cash flow for t = 0 = 2.4 = | cash flow of year 1 + year 2 + 0.4 of year 3 | |||
| 7500 + 12500 + 0.4* 15000 | ||||
| 26000 | ||||