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15 November, 21:11

An investment offers to quadruple your money in 18 months (don't believe it). required: what rate per three months are you being offered? (round your answer as directed, but do not use rounded numbers in intermediate calculations. enter your answer as a percent rounded to 2 decimal places (e. g., 32.16).)

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  1. 15 November, 23:24
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    Let us assume that amount invested = 100

    It quadruples meaning, it becomes = 100*4 = 400

    We use the future value formula here

    FV = PV * (1+r) ^n

    here FV = 400

    PV = 100

    n = 18 months or 18/3 = 6 quarters (Since we need a three month rate)

    400 = 100 * (1+r) ^6

    4 = 1 * (1+r) ^6

    r = 4^ (1/6) - 1

    r = 1.2599 - 1 = 0.2599

    Interest rate being offered = 25.99% (Rounded to 2 decimals)
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