Present Value (PV) of Cash Flow: | ||||||||||||||||
(Cash Flow)/((1+i)^N) | ||||||||||||||||
i=Discount Rate=Interest Rate=9% | 0.09 | |||||||||||||||
N=Year of Cash Flow | ||||||||||||||||
Initial Cash Flow=Cost+Installation expense | ||||||||||||||||
Initial Cash Flow=150000+3500 | $153,500 | |||||||||||||||
Terminal Cash inflow=Salvage Value-Removal Expense | ||||||||||||||||
Terminal Cash inflow=Salvage Value-$3500 | ||||||||||||||||
Terminal Cash Flow Year1=150000-2500-3500 | 121500 | |||||||||||||||
Terminal Cash Flow Year1=121500-25000 | 96500 | |||||||||||||||
N | A | B=A/(1.09^N) | C=-(153500-B) | D | E=D/(1.09^N) | F | G=C+F | H(Using PMT function with Rate=9%,Nper=N,PV=-G) | ||||||||
End of year | Terminal Cash Flow=Market Value-3500 | PV of Salvage Value | PV of net capital cost | Annual maintenance and operating cost | PV of annual maintenance cost | Cumulative PV of annual Cashflow | PV of total Cash Flow | Equivalent annualcost | ||||||||
0 | ||||||||||||||||
1 | $121,500 | $111,468 | ($42,032) | ($4,000) | $ (3,670) | $ (3,670) | ($45,702) | ($49,815) | (Using PMT function with Rate=9%,Nper=1,PV=45702) | |||||||
2 | $96,500 | $81,222 | ($72,278) | ($9,000) | $ (7,575) | $ (11,245) | ($83,523) | ($47,480) | (Using PMT function with Rate=9%,Nper=2,PV=83523) | |||||||
3 | $71,500 | $55,211 | ($98,289) | ($14,000) | $ (10,811) | $ (22,055) | ($120,344) | ($47,543) | (Using PMT function with Rate=9%,Nper=3,PV=120344) | |||||||
4 | $46,500 | $32,942 | ($120,558) | ($19,000) | $ (13,460) | $ (35,515) | ($156,074) | ($48,175) | (Using PMT function with Rate=9%,Nper=4,PV=156074) | |||||||
5 | $21,500 | $13,974 | ($139,526) | ($24,000) | $ (15,598) | $ (51,114) | ($190,640) | ($49,012) | (Using PMT function with Rate=9%,Nper=5,PV=-190640) | |||||||
6 | ($3,500) | ($2,087) | ($155,587) | ($29,000) | $ (17,292) | $ (68,406) | ($223,993) | ($49,932) | (Using PMT function with Rate=9%,Nper=6,PV=-223993) | |||||||
Annual Equivalent COST is LOWEST for 2 years | ($47,543) | |||||||||||||||
The Truck should be operated for OPTIMUM 2 years | ||||||||||||||||
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