In: Accounting
2. The company is considering a project involving the purchase of new equipment. Change the data area of your worksheet to match the following: Use Exhibit 12B-1 and Exhibit 12B-2. (Use appropriate factor(s) from the tables provided.)
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a. What is the net present value of the project? (Negative amount should be indicated by a minus sign. Round your present value factor to 3 decimals and round all other intermediate calculations to nearest whole dollar.)
c. The internal rate of return is between what two whole discount rates (e.g., between 10% and 11%, between 11% and 12%, between 12% and 13%, between 13% and 14%, etc.)?
d. Reset the discount rate to 18%. Suppose the salvage value is uncertain. How large would the salvage value have to be to result in a positive net present value?
Solution a:
Computation of NPV | ||||
Particulars | Amount | Period | PV Factor | Present Value |
Cash Outflows: | ||||
Cost of equipment | $260,000 | 0 | 1 | $260,000.00 |
Working Capital | $60,000 | 0 | 1 | $60,000.00 |
Overhaul cost | $20,000 | 4 | 0.516 | $10,320.00 |
Present Value of Cash Outflows (A) | $330,320.00 | |||
Cash Inflows: | ||||
Annual cash inflows | $90,000 | 1-5 | 3.127 | $281,430.00 |
Salvage Value | $25,000 | 5 | 0.437 | $10,925.00 |
Release of working capital | $60,000 | 5 | 0.437 | $26,220.00 |
Present Value of Cash Inflows (B) | $318,575.00 | |||
Net Present Value (B-A) | -$11,745.00 |
Solution c:
Computation of IRR | ||
Period | Product A | |
Cash Flows | IRR | |
0 | -$320,000.00 | 16.50% |
1 | $90,000.00 | |
2 | $90,000.00 | |
3 | $90,000.00 | |
4 | $70,000.00 | |
5 | $175,000.00 |
IRR lies between 16% and 17%
Solution d:
Required salvage value = $25,000 + (Required present value to make NPV positive / PV factor at 18% for 5th period)
= $25,000 + ($11,745/ 0.437) = $51,876