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Question 25.IP.1: The capital investment committee of Hopewell Company is curr...

The capital investment committee of Hopewell Company is currently considering two investments. The estimated income from operations and net cash flows expected from each investment are as follows:

 

Year

Truck Equipment
Income from operations Net Cash Flow Income from operations Net Cash Flow
1 $ 6,000 $ 22,000 $13,000 $ 29,000
2 9,000 25,000 10,000 26,000
3 10,000 26,000 8,000 24,000
4 8,000 24,000 8,000 24,000
5 11,000 27,000 3,000 19,000
\underline{\underline{\$ \ 44,000}} \underline{\underline{\$ \ 124,000}} \underline{\underline{\$ \ 42,000}} \underline{\underline{\$ \ 122,000}}

Each investment requires $80,000. Straight-line depreciation will be used, and no residual value is expected. The committee has selected a rate of 15% for purposes of the net present value analysis.

Instructions

1. Compute the following:

a. The average rate of return for each investment.

b. The net present value for each investment. Use the present value of $1 table appearing in this chapter (Exhibit 1).

EXHIBIT 1 : Partial Present Value of $1 Table
Present Value of $1 at Compound Interest
Year 6% 10% 12% 15% 20%
1 0.943 0.909 0.893 0.870 0.833
2 0.890 0.826  0.797  0.756  0.694
3 0.840  0.751   0.712   0.658  0.579
4 0.792 0.683 0.636  0.572  0.482
5 0.747 0.621   0.567  0.497  0.402
6 0.705 0.564  0.507  0.432 0.335
7 0.665 0.513  0.452  0.376  0.279
8 0.627 0.467  0.404  0.327  0.233
9 0.592 0.424  0.361  0.284  0.194
10 0.558 0.386  0.322  0.247  0.162

2. Why is the net present value of the equipment greater than the truck, even though its average rate of return is less?

3. Prepare a summary for the capital investment committee, advising it on the relative merits of the two investments.

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