Suppose that annual income from a rental property is expected to start at $1390 per year and decrease at a uniform amount of $55 each year after the first year for the 16 year expected life of the property. The investment cost is $5200 and i is %10 per year. What is the present equivalent of the rental income? Assume that the investment occurs at time zero (now) and that the annual income is first received at the end of first year.
Year | Cash flows | PVF @ 10% | Present Values | ||
0 | -5200 | 1 | -5200 | ||
1 | 1390 | 0.909091 | 1263.636 | ||
2 | 1335 | 0.826446 | 1103.306 | ||
3 | 1280 | 0.751315 | 961.6829 | ||
4 | 1225 | 0.683013 | 836.6915 | ||
5 | 1170 | 0.620921 | 726.4779 | ||
6 | 1115 | 0.564474 | 629.3884 | ||
7 | 1060 | 0.513158 | 543.9476 | ||
8 | 1005 | 0.466507 | 468.8399 | ||
9 | 950 | 0.424098 | 402.8927 | ||
10 | 895 | 0.385543 | 345.0612 | ||
11 | 840 | 0.350494 | 294.4149 | ||
12 | 785 | 0.318631 | 250.1252 | ||
13 | 730 | 0.289664 | 211.455 | ||
14 | 675 | 0.263331 | 177.7486 | ||
15 | 620 | 0.239392 | 148.4231 | ||
16 | 565 | 0.217629 | 122.9605 | ||
Net Present worth | 3287 | ||||
Divide: Annnuity at 10% for 16 years | 7.8237 | ||||
Equivalent Present Annual Worth | 420 |
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