In: Finance
6.3: For the projects shown, what is the capital recovery cost? | ||||||
Project P | Project Q | Project R | Project S | Project T | Project U | |
Initial Cost | ($120,000) | ($230,000) | ($350,000) | ($450,000) | ($530,000) | ($690,000) |
Salvage value (% of IC) | 20% | 15% | -12% | 16% | -11% | 32% |
Project life | 3 | 4 | 5 | 6 | 7 | 9 |
Rate of interest (MARR) | 12% | 11% | 14% | 15% | 13% | 10% |
Project P | Project Q | Project R | Project S | Project T | Project U | |
Initial Cost (I) | 1,20,000 | 2,30,000 | 3,50,000 | 4,50,000 | 5,30,000 | 6,90,000 |
Salvage value (% of IC) | 20% | 15% | -12% | 16% | -11% | 32% |
Salvage value(S) | 24,000 | 34,500 | -42,000 | 72,000 | -58,300 | 2,20,800 |
Project life | 3 | 4 | 5 | 6 | 7 | 9 |
Rate of interest (MARR) | 12% | 11% | 14% | 15% | 13% | 10% |
Capital recovery factor (CRF) | 0.4163 | 0.3223 | 0.2913 | 0.2642 | 0.2261 | 0.1736 |
Sinking fund factor (SFF) | 0.2963 | 0.2123 | 0.1513 | 0.1142 | 0.0961 | 0.0736 |
a = (I*CRF) | 49,961.88 | 74,135.06 | 1,01,949.24 | 1,18,906.61 | 1,19,838.73 | 1,19,811.97 |
b = (S*SFF) | 7,112.38 | 7,325.26 | -6,353.91 | 8,225.06 | -5,603.26 | 16,259.83 |
Capital recovery cost (a-b) | 42,849.50 | 66,809.80 | 1,08,303.15 | 1,10,681.55 | 1,25,441.99 | 1,03,552.14 |