Average Rate of Return, Cash Payback Period, Net Present Value Method Great Plai
ID: 2457339 • 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 $352,000. The equipment has an estimated life of 10 years and no residual value. It is expected to provide yearly net cash flows of $44,000. The company's minimum desired rate of return for net present value analysis is 15%.
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
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 annual net cash flows
$
Less amount to be invested
$
Net present value
$
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) Average rate of return = * $8800 /$352000/2 = 5%
* the annual earning are equal to the cash flow less the annual depreciation expense, shown as follows
$44000 - ($352000/10 years) = $8800
b) cash payback Period = $ 352000 / $ 44000 = 8 years
c) Present value of annual net cash flows ( $44000 * 5.019) = $ 220836
Amount to be invested $ 352000
Net present value - $ 131164
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