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12 February, 02:39

Use the formula - FV / (1+r) ^n ... make up a scenario of a particular asset or investment and describe how it would be valued. How much more would it be worth in a particular amount of time?

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  1. 12 February, 03:49
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    See below

    Explanation:

    The formula in reference is a re-arrangement of the compound interest rate formula. The compound rate formula is used to calculate the future balance of a compound interest-earning account.

    This particular formula is worked backward to calculate how much investment is needed to achieve a set goal.

    For example, you desire to have $5000 in your account after six years. The bank pays an interest rate of 5%, how much must you save today to achieve your target?

    Today amount will be the PV

    FV = $5000

    r=5%

    n = 6years

    PV = $5000 / (1+5/100) 6

    PV=$5000 / (1+0.05) 6

    pv = 5000/1.340095

    pv=3,731.10

    Meaning $3.731.10 will grow to $5000 after six years when invested in an account earning 5% compound interest.
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