The Easton manufacturing Company is looking to replace its c
The Easton manufacturing Company is looking to replace its conveyor belt system. A new system will cost $345,000, and will result in cost savings of $220,000 in the first year, followed by savings of $100,000 per year over the following 3 years. If the firm’s cost of capital is 9%, what is the discounted payback period for this project? (Do not round intermediate computations. Round final answer to two decimal places.)
2.25 years.
2.40 years.
2.76 years.
2.58 years.
Solution
Solution:
To compute the discounted payback
Since the net present value is positive we need to find the discounted payback at which the initial investment is getting paid back henc e
-345000 = initial capital outflow
201834+84168+77218 = 363221 = capital inflow
363221 - 345000 = 18221
the payback is happening almost in the end of year hence the answer is 2.76 years
answer option C
| Year | Cash flow | Formula | Discount 9% | Present value |
| 0 | -345000 | 1 | 1 | -345000 |
| 1 | 220000 | 1/1.09^1 | 0.92 | 201834.86 |
| 2 | 100000 | 1/1.09^2 | 0.84 | 84168.00 |
| 3 | 100000 | 1/1.09^3 | 0.77 | 77218.35 |
| 4 | 100000 | 1/1.09^4 | 0.71 | 70842.52 |
| Net present value | 89063.73 |