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22 January, 08:32

Jeremiah has a long term savings plan. For 10 years he has been investing $150 a month, earning 4.25% interest compounded monthly. how much more would he have saved if he had chosen to make deposits of $200 a month?

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  1. 22 January, 09:59
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    The formula of the future value of annuity ordinary

    Fv=pmt [ (1+r/k) ^ (kn) - 1) : (r/k) ]

    Fv future value

    Pmt payment

    R interest rate 0.0425

    K compounded monthly 12

    N time 10 years

    If the payment 150

    Fv=150 * (((1+0.0425:12) ^ (12

    *10) - 1) : (0.0425:12))

    =22,381.089

    If the payment 200

    Fv=200 * (((1+0.0425:12) ^ (12

    *10) - 1) : (0.0425:12))

    =29,841.452

    How much more

    29,841.45-22,381.09

    =7,460.36
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