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6.3: For the projects shown, what is the capital recovery cost? Project P Project Q Project...

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%

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Expert Solution

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

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