In: Accounting
Net Present Value Method
The following data are accumulated by Paxton Company in evaluating the purchase of $98,100 of equipment, having a four-year useful life:
Net Income | Net Cash Flow | |||
Year 1 | $31,000 | $53,000 | ||
Year 2 | 19,000 | 41,000 | ||
Year 3 | 9,000 | 31,000 | ||
Year 4 | (1,000) | 21,000 |
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 10%, 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. If required, use the minus sign to indicate a negative net present value.
Present value of net cash flow | $ |
Amount to be invested | $ |
Net present value | $ |
b. Would management be likely to look with
favor on the proposal? Yes or No
The net present value indicates that the return on the proposal is
__________ than the minimum desired rate of return of
10%.
a | Calculation of the Net Present Value based on the rate of return 10 % | |||||||||
Calculations | ||||||||||
Yr | 0 | 1 | 2 | 3 | 4 | |||||
Amount to be invested | ($98,100) | |||||||||
Net Cash Flow | $53,000 | $41,000 | $31,000 | $21,000 | ||||||
P.V Factor @10% | 1 | 0.909 | 0.826 | 0.751 | 0.683 | |||||
from Table | ||||||||||
P.V of Cash Flows | ($98,100) | $48,177 | $33,866 | $23,281 | $14,343 | |||||
N.P.V | $21,567 | |||||||||
Present Value of Net Cash Flow | $119,667 | |||||||||
Amount to be Invested | ($98,100) | |||||||||
Net Present Value | $21,567 | |||||||||
b | Yes the management would be likely to look with favor on the proposal as the net present value is positive | |||||||||
The net present value indicates that the return on the proposal is more than the minimum desired rate | ||||||||||
of return of 10% | ||||||||||