Assume an equipment costs $396,000 and lasts five years before it is replaced. The operating cost is $60,500 a year. Ignore taxes. What is the equivalent annual cost if the required rate of return is 12.5 percent? (Hint: Find the NPV of machine cost and annual cost, then estimate the EAC)
Year | Cash Flow | Discountig
Factor [1/(1.125^period)] |
PV of cash
flows (cash flow*discounting factor) |
0 | -396000 | 1 | -396000 |
1 | -60500 | 0.970873786 | -58737.86408 |
2 | -60500 | 0.942595909 | -57027.0525 |
3 | -60500 | 0.915141659 | -55366.07039 |
4 | -60500 | 0.888487048 | -53753.4664 |
5 | -60500 | 0.862608784 | -52187.83146 |
NPV= Sum of PVs |
-673072.2848 |
NPV | -673072.2848 |
r | 0.125 |
n | 5 |
EAC = | [NPV*r]/[1-{(1+r)^-n}] |
= | [-673072.2848*0.125]/[1-{(1+0.125)^-5}] |
= | [-84134]/[0.44507] |
= | -189035.4326 |
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