Exercise 13-7 Net Present Value Analysis of Two Alternatives [LO13-2]
Perit Industries has $155,000 to invest. The company is trying to decide between two alternative uses of the funds. The alternatives are:
Project A | Project B | |||
Cost of equipment required | $ | 155,000 | $ | 0 |
Working capital investment required | $ | 0 | $ | 155,000 |
Annual cash inflows | $ | 25,000 | $ | 57,000 |
Salvage value of equipment in six years | $ | 9,600 | $ | 0 |
Life of the project | 6 years | 6 years | ||
The working capital needed for project B will be released at the end of six years for investment elsewhere. Perit Industries’ discount rate is 15%.
Click here to view Exhibit 13B-1 and Exhibit 13B-2, to determine the appropriate discount factor(s) using tables.
Required:
1. Compute the net present value of Project A. (Enter negative values with a minus sign. Round your final answer to the nearest whole dollar amount.)
2. Compute the net present value of Project B. (Enter negative values with a minus sign. Round your final answer to the nearest whole dollar amount.)
3. Which investment alternative (if either) would you recommend that the company accept?
Year | Cash Flows - Project A | PV Factor @15% | PV of Cash Flows |
0 | -155000 | 1.00000 | -155000 |
1 | 25000 | 0.86957 | 21739 |
2 | 25000 | 0.75614 | 18904 |
3 | 25000 | 0.65752 | 16438 |
4 | 25000 | 0.57175 | 14294 |
5 | 25000 | 0.49718 | 12429 |
6 (25000+9600) | 34600 | 0.43233 | 14959 |
Net Present Value | - Project A | -56238 | |
Year | Cash Flows - Project B | PV Factor @15% | PV of Cash Flows |
0 | -155000 | 1.00000 | -155000 |
1 | 57000 | 0.86957 | 49565 |
2 | 57000 | 0.75614 | 43100 |
3 | 57000 | 0.65752 | 37478 |
4 | 57000 | 0.57175 | 32590 |
5 | 57000 | 0.49718 | 28339 |
6 (57000+155000) | 212000 | 0.43233 | 91653 |
Net Present Value | - Project B | 127726 |
$155000, should be invested in Project B rathre than Project A. Project B has positive NPV, whereas Project A has negative NPV.
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