The capital investment committee of Arches Landscaping Company is considering two capital investments. The estimated income from operations and net cash flows from each investment are as follows:
Front-End Loader | Greenhouse | |||||||||
Year | Income from Operations |
Net Cash Flow |
Income from Operations |
Net Cash Flow |
||||||
1 | $54,000 | $174,000 | $113,000 | $278,000 | ||||||
2 | 54,000 | 174,000 | 86,000 | 235,000 | ||||||
3 | 54,000 | 174,000 | 43,000 | 165,000 | ||||||
4 | 54,000 | 174,000 | 19,000 | 113,000 | ||||||
5 | 54,000 | 174,000 | 9,000 | 79,000 | ||||||
Total | $270,000 | $870,000 | $270,000 | $870,000 |
Each project requires an investment of $600,000. Straight-line depreciation will be used, and no residual value is expected. The committee has selected a rate of 10% for purposes of the net present value analysis.
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 |
Required:
1a. Compute the average rate of return for each investment. If required, round your answer to one decimal place.
Average Rate of Return | |
Front-End Loader | %18 |
Greenhouse | %18 |
1b. Compute the net present value for each investment. Use the present value of $1 table above. If required, use the minus sign to indicate a negative net present value.
Front-End Loader | Greenhouse | |
Present value of net cash flow | $ | $ |
Amount to be invested | $ | $ |
Net present value | $ | $ |
Front end loader |
|||
Year |
Net cash flow |
Pv rate at 10% |
Pv of cash flows |
1 |
174000 |
0.909 |
158166 |
2 |
174000 |
0.826 |
143724 |
3 |
174000 |
0.751 |
130674 |
4 |
174000 |
0.683 |
118842 |
5 |
174000 |
0.621 |
108054 |
cash flow |
659460 |
||
initial investment |
600000 |
||
NPV |
59460 |
||
Green house |
|||
Year |
Net cash flow |
Pv rate at 10% |
Pv of cash flows |
1 |
278000 |
0.909 |
252702 |
2 |
235000 |
0.826 |
194110 |
3 |
165000 |
0.751 |
123915 |
4 |
113000 |
0.683 |
77179 |
5 |
79000 |
0.621 |
49059 |
cash flow |
696965 |
||
initial investment |
600000 |
||
NPV |
96965 |
||
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