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Thread: any idea?

  1. #1

    Thread Starter
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    any idea?

    Need help setting up problem?



    A state has $8000,000 worth of construction bonds that are due in 25 years. What annual sinking fund deposit is needed if the state can earn 10% per annum on its money?

  2. #2
    Fanatic Member alkatran's Avatar
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    Apr 2002
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    Canada
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    You need to slow down on the questions.

    You need a formula like so:
    x*1.1^24 + x*1.1^23 (...) + x*1.1^0which equals
    x*(1.1^24 (...) + x *1.1^0) = 8 000 000
    which is x times the sum of an exponential series which is solved by the formula

    S = (1.1^(24-1) - 1)/(1.1 - 1) = (1.1^23 - 1) / 0.1 = 1.1^23*10
    x*S = x*1.1^23*10 = 8 000 000
    x = 8 000 000 / (10 * 1.1^23)

    *not sure about the S formula
    Don't pay attention to this signature, it's contradictory.

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