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19 August, 18:33

A machine costs $270,000 and has a life of 12 years. The machine will be under total warranty for 3 years. In the 4th year the maintenance cost is estimated to be $3,500, and increases by $1,750 each year till the 12th year. What amount will the company have to put aside at 6% interest per annum compounded yearly for the maintenance? a. Around $36,200b. Around $45,800c. Around $56,100d. Around $65,300

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  1. 19 August, 19:56
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    C) Around $56,100

    Explanation:

    total maintenance costs should be:

    year cost

    1 $0

    2 $0

    3 $0

    4 $3,500

    5 $5,250

    6 $7,000

    7 $8,750

    8 $10,500

    9 $12,250

    10 $14,000

    11 $15,750

    12 $17,500

    to determine the present value of the 12 year annuity we can use an excel spreadsheet and the present value function:

    =PV (6%, select the 12 cells) = $56,099.39 ≈ $56,100
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