Great Plains Transportation Inc. is considering acquiring equipment at a cost of
ID: 2455415 • Letter: G
Question
Great Plains Transportation Inc. is considering acquiring equipment at a cost of $165,000. The equipment has an estimated life of 10 years and no residual value. It is expected to provide yearly net cash flows of $33,000. 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 4.192Explanation / Answer
a) Yearly Net Cash Flows 33,000.00 Depreciation (165,000/10) 16,500.00 Average Return 16,500.00 ARR = Average Return/Avg Investment ARR = 16,500/165,000 ARR = 10% b) PBP Time Amount Cumulative - (165,000.00) (165,000.00) 1.00 33,000.00 (132,000.00) 2.00 33,000.00 (99,000.00) 3.00 33,000.00 (66,000.00) 4.00 33,000.00 (33,000.00) 5.00 33,000.00 - 6.00 33,000.00 33,000.00 7.00 33,000.00 66,000.00 8.00 33,000.00 99,000.00 9.00 33,000.00 132,000.00 10.00 33,000.00 165,000.00 PBP= 5 Years c) Statemnet showing Cash flows Particulars Time PVf@10% Amount PV Cash Outflows - 1.00 (165,000.00) (165,000.00) PV of Cash outflows (165,000.00) Cash inflows 1-10 6.1450 33,000.00 202,785.00 PV of Cash Inflows 202,785.00 NPV 37,785.00 Present value of annual net cash flows 202,785.00 Less amount to be invested 165,000.00 Net present value 37,785.00
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