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Wednesday, 18 October 2017

A precision lathe costs $12,000 and will cost $22,000 a year to operate and maintain. If the discount rate is 14% and the lathe will last for 4 years, what is the equivalent annual cost of the tool?

A precision lathe costs $12,000 and will cost $22,000 a year to operate and maintain. If the discount rate is 14% and the lathe will last for 4 years, what is the equivalent annual cost of the tool?
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Explanation
Some values below may show as rounded for display purposes, though unrounded numbers should be used for actual calculations.

PV of costs = $12,000 + [$22,000 × Annuity factor (14%, 4 years)]

          =$12,000+$22,000×[1.141.14×(1.14)4]=$76,101.67


The equivalent annual cost is the payment with the same present value. Solve the following equation for C:

C×[1.141.14×(1.14)4]=$76,101.67C=EAC=$26,118.46


Using a financial calculator, enter n = 4; i = 14; FV = 0; PV = (−)76,101.67; compute PMT.

Note:


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