In: Accounting
Net Present Value Method
The following data are accumulated by Geddes Company in evaluating the purchase of $101,200 of equipment, having a four-year useful life:
Net Income | Net Cash Flow | |||
Year 1 | $34,000 | $57,000 | ||
Year 2 | 21,000 | 44,000 | ||
Year 3 | 10,000 | 33,000 | ||
Year 4 | (1,000) | 22,000 |
Present Value of $1 at Compound Interest | |||||
Year | 6% | 10% | 12% | 15% | 20% |
1 | 0.943 | 0.909 | 0.893 | 0.870 | 0.833 |
2 | 0.890 | 0.826 | 0.797 | 0.756 | 0.694 |
3 | 0.840 | 0.751 | 0.712 | 0.658 | 0.579 |
4 | 0.792 | 0.683 | 0.636 | 0.572 | 0.482 |
5 | 0.747 | 0.621 | 0.567 | 0.497 | 0.402 |
6 | 0.705 | 0.564 | 0.507 | 0.432 | 0.335 |
7 | 0.665 | 0.513 | 0.452 | 0.376 | 0.279 |
8 | 0.627 | 0.467 | 0.404 | 0.327 | 0.233 |
9 | 0.592 | 0.424 | 0.361 | 0.284 | 0.194 |
10 | 0.558 | 0.386 | 0.322 | 0.247 | 0.162 |
a. Assuming that the desired rate of return is 12%, determine the net present value for the proposal. Use the table of the present value of $1 presented above. If required, round to the nearest dollar.
Present value of net cash flow | |
Amount to be invested | |
Net present value |
Present Value of Net Cash Flow | 123457 |
Amoutn to be invested | -101200 |
Net Present Value | 22257 |
Working Note: Computation of NPV- Geddes Company | |||
Year | Cash Flow | PVf @ 12% | Present Value of Cash Flow |
[a] | [b] | [c = a*b] | |
0 | -101200 | 1.00000 | (101,200.00) |
1 | 57000 | 0.89300 | 50,901.00 |
2 | 44000 | 0.79700 | 35,068.00 |
3 | 33000 | 0.71200 | 23,496.00 |
4 | 22000 | 0.63600 | 13,992.00 |
NPV | 22,257.00 |