Henrie’s Drapery Service is investigating the purchase of a new machine for cleaning and blocking drapes. The machine would cost $117,320, including freight and installation. Henrie’s estimated the new machine would increase the company’s cash inflows, net of expenses, by $35,000 per year. The machine would have a five-year useful life and no salvage value.
Click here to view Exhibit 13B-1 and Exhibit 13B-2, to determine the appropriate discount factor(s) using table.
Required:
1. What is the machine’s internal rate of return? (Round your final answer to the nearest whole percentage.)
2. Using a discount rate of 15%, what is the machine’s net present value? Interpret your results.
3. Suppose the new machine would increase the company’s annual cash inflows, net of expenses, by only $30,160 per year. Under these conditions, what is the internal rate of return? (Round your final answer to the nearest whole percentage.)
Answer:
1 | ||
Investment cost | 117320 | |
Divide by Annual cash flows | 35000 | |
PV factor for internal rate of return | 3.352 | |
The PV factor 3.352 for 5 years is closest to 15% | ||
Internal rate of return = 15% | ||
2 | ||
Present value of annual flows | 117320 | =35000*3.352 |
Less : Investment cost | 117320 | |
Net present value | 0 | |
3 | ||
Investment cost | 117320 | |
Divide by Annual cash flows | 30160 | |
PV factor for internal rate of return | 3.890 | |
The PV factor 3.890 for 5 years is closest to 9% | ||
Internal rate of return = 9% |
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