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23 May, 23:37

Suppose Sally Smith plans to invest $1,000. She can earn an effective annual rate of 5% on Security A, while Security B has an effective annual rate of 12%. After 11 years, the compounded value of Security B should be more than twice the compounded value of Security A. (Ignore risk, and assume that compounding occurs annually.) True / False.

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  1. 23 May, 23:42
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    "True"

    Explanation:

    First we will calculate the compounded values of the Sally Smith investment on Security A and Security B

    Security A compounded value after 11 years=1,000 (1+5%) ^11

    =$1,710.34

    Security B compounded value after 11 years=1,000 (1+12%) ^11

    =$3,478.55

    Difference between Security B and A value=$3,478.55-$1,710.34

    =$1,768.21

    So based on the above calculations, the answer is "True"
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