a capital project with a 5 year life and cost of $48000 generates additional revenue as follows: $5000 in year 1 $12000 in year2 $15000 in year 3 $18000 in year 4 $20000 in year 5 based on a discount rate is 4%, what is the present value of the project?
Ans. | Year | Cash inflows | PV @4% | PV of cash inflow |
1 | 5000 | 0.961538462 | 4807.692308 | |
2 | 12000 | 0.924556213 | 11094.67456 | |
3 | 15000 | 0.888996359 | 13334.94538 | |
4 | 18000 | 0.854804191 | 15386.47544 | |
5 | 20000 | 0.821927107 | 16438.54214 | |
Total of PV of cash inflows | 61062.32982 | |||
Net Present Value = Present value of cash inflow - Investment | ||||
61062.32982 - 48000 | ||||
13062.32982 | ||||
or 13062.33 (rounded) | ||||
*Calculations of PV @4%: | ||||
Year | ||||
1 | 1 / (1 + 0.04)^1 | 0.961538462 | ||
2 | 1 / (1 + 0.04)^2 | 0.924556213 | ||
3 | 1 / (1 + 0.04)^3 | 0.888996359 | ||
4 | 1 / (1 + 0.04)^4 | 0.854804191 | ||
5 | 1 / (1 + 0.04)^5 | 0.821927107 |
Get Answers For Free
Most questions answered within 1 hours.