In: Accounting
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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 | $62,000 | $198,000 | $130,000 | $317,000 | ||||||
2 | 62,000 | 198,000 | 99,000 | 267,000 | ||||||
3 | 62,000 | 198,000 | 50,000 | 188,000 | ||||||
4 | 62,000 | 198,000 | 22,000 | 129,000 | ||||||
5 | 62,000 | 198,000 | 9,000 | 89,000 | ||||||
Total | $310,000 | $990,000 | $310,000 | $990,000 |
Each project requires an investment of $620,000. 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 | % |
Greenhouse | % |
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 | $ | $ |
2. Prepare a brief report for the capital investment committee, advising it on the relative merits of the two investments.
The front-end loader has a net present value because the cash flows occur in time compared to the greenhouse. Thus, if only one of the two projects can be accepted, the would be the more attractive.
Req 1. | Fron end | Green house | ||||
Total Income of operations | 310000 | 310000 | ||||
Divide: Number of Years | 5 | 5 | ||||
Average income from operations | 62000 | 62000 | ||||
Divide: Average Investment | 310000 | 310000 | ||||
Average rate of return | 20% | 20% | ||||
Req 2. | ||||||
Year | PVF at 10% | CF of Project A | PVF of A | CF of Proj. B | PVF of B | |
1 | 0.909091 | 198000 | 180000 | 317000 | 288181.8 | |
2 | 0.826446 | 198000 | 163636.4 | 267000 | 220661.2 | |
3 | 0.751315 | 198000 | 148760.3 | 188000 | 141247.2 | |
4 | 0.683013 | 198000 | 135236.7 | 129000 | 88108.74 | |
5 | 0.620921 | 198000 | 122942.4 | 89000 | 55262 | |
Present value of net cashh flows | 750576 | 793461 | ||||
Less: Investmentt | 620000 | 620000 | ||||
Net present value | 130576 | 173461 | ||||
The front end loader has a lower net present value because the cashflows occure in later time as compared to Greenhouse. Thus, if only one of the two projects can be accepted, Greenhouse shall be accepted. | ||||||