Problem 13-18 Net Present Value Analysis [LO13-2]
Oakmont Company has an opportunity to manufacture and sell a new product for a four-year period. The company’s discount rate is 17%. After careful study, Oakmont estimated the following costs and revenues for the new product:
Cost of equipment needed | $ | 165,000 |
Working capital needed | $ | 67,000 |
Overhaul of the equipment in year two | $ | 10,000 |
Salvage value of the equipment in four years | $ | 13,000 |
Annual revenues and costs: | ||
Sales revenues | $ | 320,000 |
Variable expenses | $ | 155,000 |
Fixed out-of-pocket operating costs | $ | 77,000 |
When the project concludes in four years the working capital will be released for investment elsewhere within the company.
Click here to view Exhibit 13B-1 and Exhibit 13B-2, to determine the appropriate discount factor(s) using tables.
Required:
Calculate the net present value of this investment opportunity. (Round your final answer to the nearest whole dollar amount.)
Computation of Net Present Value (NPV)
NPV = [ Present value of cash inflows - Initial Investment]
Calculation of annual net cash inflow:
Particular | Amount |
Sales Revenue | $ 320,000 |
Less: Variable expenses | ($155,000) |
Contribution | $165,000 |
Less: Fixed out of pocket operating costs | ($77,000) |
Annual net cash inflows | $88,000 |
Calculation of Present value of Cash Inflows:
Year | cash Inflow | PVF@17% | Present value |
1 | $88,000 | 0.8547 | $75,214 |
2 | $88,000 | 0.7305 | $64,284 |
3 | $88,000 | 0.6244 | $54,947 |
4 | $88,000 | 0.5337 | $46,966 |
4 | $13,000 (salvage value) | 0.5337 | $6,938 |
4 | $67,000 ( working table) | 0.5337 | $35,758 |
Total | $284,107 |
Calculation of NPV
Particular | Amount |
Present value of Cash Inflows | $284,107 |
Less: Initial Investment | ($165,000) |
Less: Working capital | ($67,000) |
Less: Overhaul in 2 years ($10,000* 0.7305) | ($7,305) |
Net Present Value | $44802 |
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