In: Finance
A project with a life of 12 has an initial fixed asset investment of $21,420, an initial NWC investment of $2,040, and an annual OCF of –$32,640. The fixed asset is fully depreciated over the life of the project and has no salvage value. |
If the required return is 13 percent, what is the project's
equivalent annual cost, or EAC? |
Sol:
Project's equivalent annual cost calculation below:
Year | Cash Flows | PV factor @13% | Discounted cash flows |
0 | -23460 | 1 | -23460.00 |
1 | -32640 | 0.8850 | -28884.96 |
2 | -32640 | 0.7831 | -25561.91 |
3 | -32640 | 0.6931 | -22621.16 |
4 | -32640 | 0.6133 | -20018.72 |
5 | -32640 | 0.5428 | -17715.68 |
6 | -32640 | 0.4803 | -15677.60 |
7 | -32640 | 0.4251 | -13873.98 |
8 | -32640 | 0.3762 | -12277.86 |
9 | -32640 | 0.3329 | -10865.36 |
10 | -32640 | 0.2946 | -9615.36 |
11 | -32640 | 0.2607 | -8509.17 |
12 | -30600 | 0.2307 | -7059.60 |
Total discounted cash flows | -216141.36 | ||
PVIFA at 13% for 12 years | 5.92 | ||
Project EAC | -36524.88 |
Therefore project's equivalent annual cost (EAC) will be -$36524.88
Working