question archive An investment project requires a net investment of $100,000
Subject:FinancePrice:2.87 Bought7
An investment project requires a net investment of $100,000. The project is expected to generate annual net cash inflows of $28,000 for the next 5 years. The firm's cost of capital is 12 percent. Determine whether you would accept or reject the project using the discounted payback period method. The company rejects projects that exceed a discounted payback period of over 3 years.
4.94 years, Reject the project
2.5 years, accept 4.09 years,
accept 1.43 years,
accept You cannot calculate discounted payback from the information given.
Answer:
Calculation of discounted payback period : |
||||
Year |
Cash flows (CF) |
PVF (12%) |
PV = CF*PVF |
Cumulative PV |
0 |
$ (100,000.00) |
1.00000 |
$ (100,000.00) |
$ (100,000.00) |
1 |
$ 28,000.00 |
0.89286 |
$ 25,000.00 |
$ (75,000.00) |
2 |
$ 28,000.00 |
0.79719 |
$ 22,321.43 |
$ (52,678.57) |
3 |
$ 28,000.00 |
0.71178 |
$ 19,929.85 |
$ (32,748.72) |
4 |
$ 28,000.00 |
0.63552 |
$ 17,794.51 |
$ (14,954.22) |
5 |
$ 28,000.00 |
0.56743 |
$ 15,887.95 |
$ 933.73 |
Discounted payback period = 4 years + 1 *(14954.22/ 15887.95) |
||||
Discounted payback period = 4.94 years |
||||
Discounted payback period is over 3 years, hence we should Reject the Project |