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Average Rate of Return Method, Net Present Value Method, and Analysis for a service company

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

$1$ $$54,600$ $$166,000$ $$115,000$ $$266,000$

$254,600166,00087,000224,000$

$354,600166,00044,000158,000$

$454,600166,00019,000108,000$

$554,600166,0008,00074,000$

Total $$273,000$ $$830,000$ $$273,000$ $$830,000$

Each project requires an investment of $$520,000.$ 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 $6\%10\%12\%15\%20\%$

$10\mathrm{.}9430\mathrm{.}9090\mathrm{.}8930\mathrm{.}8700\mathrm{.}833$

$20\mathrm{.}8900\mathrm{.}8260\mathrm{.}7970\mathrm{.}7560\mathrm{.}694$

$30\mathrm{.}8400\mathrm{.}7510\mathrm{.}7120\mathrm{.}6580\mathrm{.}579$

$40\mathrm{.}7920\mathrm{.}6830\mathrm{.}6360\mathrm{.}5720\mathrm{.}482$

$50\mathrm{.}7470\mathrm{.}6210\mathrm{.}5670\mathrm{.}4970\mathrm{.}402$

$60\mathrm{.}7050\mathrm{.}5640\mathrm{.}5070\mathrm{.}4320\mathrm{.}335$

$70\mathrm{.}6650\mathrm{.}5130\mathrm{.}4520\mathrm{.}3760\mathrm{.}279$

$80\mathrm{.}6270\mathrm{.}4670\mathrm{.}4040\mathrm{.}3270\mathrm{.}233$

$90\mathrm{.}5920\mathrm{.}4240\mathrm{.}3610\mathrm{.}2840\mathrm{.}194$

$100\mathrm{.}5580\mathrm{.}3860\mathrm{.}3220\mathrm{.}2470\mathrm{.}162$

Required:

$1$a$.$ 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 fill in the blank $1$

$\%$

Greenhouse fill in the blank $2$

$\%$

$1$b$.$ 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 $fill in the blank $3$

$fill in the blank $4$

Amount to be invested $fill in the blank $5$

$fill in the blank $6$

Net present value $fill in the blank $7$

$fill in the blank $8$

$2.$ 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 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.