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26 February, 10:28

Jill wants to save up for a down payment for her first home to be purchased 8 years from now. If she can earn 8% on her savings per year how much does she need to save now to make a $35,000 down payment 8 years from now?

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  1. 26 February, 11:30
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    Jill needs to save $18909.41 at 8% for 8 years so as to have $35000 as the down payment required.

    Explanation:

    The present value formula can be used in the determining the amount money invested at 8% per year so as to give $35000 in 8 years. The formula is given thus:

    PV=FV / (1+r) n

    FV=future value = $35000

    r=rate of return = 8%

    n=number of years = 8 years

    PV=$35000 / (1+0.08) ^8

    PV=$18909.41

    However it should be noted that at year end the balance of principal and interest earned is reinvested so as earn more interest on both.
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