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4 February, 20:57

Use the savings plan formula to answer the following question your goal is to create a college fun for your child suppose you find a fund that offers an apr of 7% how much should you deposit monthly to accumulate $87000 in 14 years?

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  1. 5 February, 00:25
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    The monthly deposit to reach the goal should be of $507.21

    Explanation:

    Giving the following information:

    Interest rate = 7% annual

    deposit = monthly

    Final value = $87000

    n = 14 years

    To calculate the monthly deposit, we need to use the following variation of the future value formula:

    FV = {A*[ (1+i) ^n-1]}/i

    A = monthly deposit

    Isolating A:

    A = (FV*i) / {[ (1+i) ^n]-1}

    i = 0.07/12 = 0.00583

    n = 14*12 = 168

    A = (87,000*0.00583) / [ (1.00583^168) - 1]

    A = $507.21

    The monthly deposit to reach the goal should be of $507.21
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