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

ID: 2489536 • Letter: A

Question

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

Great Plains Transportation Inc. is considering acquiring equipment at a cost of $240,000. The equipment has an estimated life of 10 years and no residual value. It is expected to provide yearly net cash flows of $30,000. The company's minimum desired rate of return for net present value analysis is 10%.

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.
Select2345678Item 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.

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

Initial Investment =$ 240000 Depreciation = ($ 240000)/10= $ 24000 Annual Inflow after Dep = 30000-24000 = $ 6000 1) Average Rate of Return = $ 6000/240000X100 = 2.5% 2) NPV Annual inflow = $ 30000 Discount rate = 10% Year 0 Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Year 7 Year 8 Year 9 Year 10 Cash outlflw -240000 Cash inflow 30000 30000 30000 30000 30000 30000 30000 30000 30000 30000 -240000 30000 30000 30000 30000 30000 30000 30000 30000 30000 30000 Discount factor @ 10% 1         0.909         0.826         0.751         0.683         0.621         0.564         0.513         0.467         0.424         0.386 Discounted Cash flow                -2,40,000      27,273      24,793      22,539      20,490      18,628      16,934      15,395      13,995      12,723      11,566 Net Present Value                    -55,663 Present value of Inflow                  1,84,337 Less:- Initial Investment                -2,40,000 NPV                    -55,663 3) Net Cash Payback Period will be beyond year 10 as NPV is negative after year 10.

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