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18 September, 00:20

After carefully going over your budget, you have determined you can afford to pay $922 per month toward a new sports car. You call up your local bank and find out that the going rate is 1 percent per month for 48 months. How much can you borrow

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  1. 18 September, 00:29
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    Answer: $35,036

    Explanation: We will calculate the present value of $922 for a period of 48 months, thus:

    Payment (pmt) = $922

    n = 48

    r = 1% or 0.01

    PV = pmt ((1 - (1 : (1+r) ^n) / r)

    PV = 922 ((1 - (1 : (1 + 0.01) ^48) / 0.01)

    PV = 922 ((1 - (1 : (1.01^48) / 0.01)

    PV = 922 ((1 - (1 : 1.612) / 0.01)

    PV = 922 ((1 - 0.62) / 0.01)

    PV = 922 (0.38/0.01)

    PV = 922 (38)

    PV = 35,036.

    Therefore, the amount that can be borrowed is $35,036.
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