In: Accounting
Net Present Value Method
The following data are accumulated by Geddes Company in evaluating the purchase of $153,200 of equipment, having a four-year useful life:
Net Income | Net Cash Flow | |||
Year 1 | $44,000 | $75,000 | ||
Year 2 | 27,000 | 58,000 | ||
Year 3 | 13,000 | 44,000 | ||
Year 4 | (1,000) | 29,000 |
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 | $
182,273 |
Amount to be invested | $
-206,000 |
Net present value | $ |
b. Would management be likely to look with
favor on the proposal?
Feedback
a. Multiply the present value of $1 factor for each year (Exhibit 2) by that year's net cash flow. Subtract the amount to be invested from the total present value of the net cash flow. Will management be more favorable to a positive net present value or a negative net present value?
b. Consider the time value of money.
Learning Objective 3.
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1 | ||||
Years | Net Cash Flows | PV of 1 at 12% | PV of Net Cash Flows | |
1 | $ 75,000 | 0.893 | $ 66,975 | |
2 | $ 58,000 | 0.797 | $ 46,226 | |
3 | $ 44,000 | 0.712 | $ 31,328 | |
4 | $ 29,000 | 0.636 | $ 18,444 | |
Totals | $ 2,06,000 | $ 1,62,973 | ||
Amount Invested | $ 1,53,200 | |||
Net Present Value | $ 9,773 | |||
2 | Yes, Since the NPV is positive, the management will like to move on with the project | |||