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In: Accounting

Please show work :) The capital investment committee of Arches Landscaping Company is considering two capital...

Please show work :)

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.

Solutions

Expert Solution

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.

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