Calculate the present worth of all costs for a newly acquired machine with an initial cost of $36,000, no trade-in value, a life of 15 years, and an annual operating cost of $16,000 for the first 5 years, increasing by 10% per year thereafter. Use an interest rate of 10% per year.
The present worth of all costs for a newly acquired machine is determined to be?
YEAR | PAYMENT | PVF @10% | PRESENT VALUE |
0 | 36000 | 1.000 | 36000 |
1 | 16000 | 0.909 | 14545.45 |
2 | 16000 | 0.826 | 13223.14 |
3 | 16000 | 0.751 | 12021.04 |
4 | 16000 | 0.683 | 10928.22 |
5 | 16000 | 0.621 | 9934.741 |
6 | 17600 | 0.564 | 9934.741 |
7 | 19360 | 0.513 | 9934.741 |
8 | 21296 | 0.467 | 9934.741 |
9 | 23425.6 | 0.424 | 9934.741 |
10 | 25768.16 | 0.386 | 9934.741 |
11 | 28344.98 | 0.350 | 9934.741 |
12 | 31179.47 | 0.319 | 9934.741 |
13 | 34297.42 | 0.290 | 9934.741 |
14 | 37727.16 | 0.263 | 9934.741 |
15 | 41499.88 | 0.239 | 9934.741 |
Total present value of cost | 196000 |
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