Required:
1. What is the net present value of the piece of equipment before considering its intangible benefits? (Enter negative amount with a minus sign. Round your final answer to the nearest whole dollar amount.)
2. What minimum dollar value per year must be provided by the equipment’s intangible benefits to justify the $850,000 investment? (Do not round intermediate calculations. Round your answer to the nearest whole dollar amount.)
Explanation
1.
The equipment’s net present value without considering the intangible benefits would be:
Item | Year(s) | Amount of Cash Flows | 10% Factor | Present Value of Cash Flows | ||||
Cost of the equipment | Now | $ | (850,000 | ) | 1.000 | $ | (850,000 | ) |
Annual cost savings | 1-5 | $ | 140,000 | 3.791 | 530,740 | |||
Net present value | $ | (319,260 | ) | |||||
2.
The annual value of the intangible benefits would have to be great enough to offset a $319,260 negative present value for the equipment. This annual value can be computed as follows:
Required increase in present value | = | $319,260 | = $84,215 |
Factor for 5 years | 3.791 |
Thanks
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