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#7 Average Rate of Return, Cash Payback Period, Net Present Value Method Great P

ID: 2593430 • Letter: #

Question

#7

Average Rate of Return, Cash Payback Period, Net Present Value Method

Great Plains Transportation Inc. is considering acquiring equipment at a cost of $68,000. The equipment has an estimated life of 10 years and no residual value. It is expected to provide yearly net cash flows of $34,000. The company's minimum desired rate of return for net present value analysis is 15%.

Compute the following:

a. The average rate of return, giving effect to straight-line depreciation on the investment. If required, round your answer to one decimal place.
%

b. The cash payback period.

years

c. The net present value. Use the above table of the present value of an annuity of $1. Round to the nearest dollar. If required, use a minus sign to indicate negative net present value" for current grading purpose.

Present Value of an Annuity of $1 at Compound Interest Year 6% 10% 12% 15% 20% 1 0.943 0.909 0.893 0.870 0.833 2 1.833 1.736 1.690 1.626 1.528 3 2.673 2.487 2.402 2.283 2.106 4 3.465 3.170 3.037 2.855 2.589 5 4.212 3.791 3.605 3.352 2.991 6 4.917 4.355 4.111 3.784 3.326 7 5.582 4.868 4.564 4.160 3.605 8 6.210 5.335 4.968 4.487 3.837 9 6.802 5.759 5.328 4.772 4.031 10 7.360 6.145 5.650 5.019 4.192

Explanation / Answer

a. The average rate of return, giving effect to straight-line depreciation on the investment. If required, round your answer to one decimal place.

Annual net income = 34000-(68000/10) = 27200

Initial investment = 68000

Average rate of return = 27200*100/68000 = 40%

b. The cash payback period.

Cash payback period = 68000/34000 = 2 years

c. The net present value. Use the above table of the present value of an annuity of $1. Round to the nearest dollar. If required, use a minus sign to indicate negative net present value" for current grading purpose.3

Present value of annual net cash flows 170646 Less: amount to be invested (68000) Net present value 102646