A corporation is considering purchasing a new plant asset. The asset will cost $85,000. The corporation requires an 8% return on similar investments. The corporation plans to use the asset for 4 years and then sell it for the salvage value. The estimated salvage value of the asset in 4 years is $15,000.
The corporation estimates that if purchased the new asset will provide the following additional net cash flows (assume the cash flows occur at the end of the year):
Year 1 $30,000
Year 2 25,000
Year 3 22,000
Year 4 21,000
a) Calculate the present value of the future cash flows.
b) Calculate the net present value.
1) | present value of the future cash flows. | ||||
Year | Cash Flow | PV Factor | PV Of Cash Flow | ||
a | b | c=1/1.08^a | d=b*c | ||
1 | $ 30,000 | 0.92593 | $ 27,777.78 | ||
2 | $ 25,000 | 0.85734 | $ 21,433.47 | ||
3 | $ 22,000 | 0.79383 | $ 17,464.31 | ||
4 | $ 36,000 | 0.73503 | $ 26,461.07 | ||
Present value | $ 93,136.63 | ||||
2) | Net Present value =Present value of future cash flow- initial cost | ||||
=$93136.63-85000 | |||||
=$8136.63 |
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