45.
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Sixteen years ago, Alicia invested $500. Eight years ago, Travis invested $900. Today, both Alicia's and Travis' investments are each worth $2,400. Assume that both Alicia and Travis continue to earn their respective rates of return. Which one of the following statements is correct concerning these investments?
A.
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Three years from today, Travis' investment will be worth more than Alicia's.
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B.
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One year ago, Alicia's investment was worth more than Travis' investment.
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C.
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Travis earns a higher rate of return than Alicia.
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D.
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Travis has earned an average annual interest rate of 3.37 percent.
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E.
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Alicia has earned an average annual interest rate of 6.01 percent.
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Alicia: $2,400 = $500 × (1 + r)16; r = 10.30 percent Travis: $2,400 = $900 × (1 + r)8; r = 13.04 percent
Since both Alicia and Travis have equal account values today and since Travis earns the higher rate of return, his account had to be worth less than Alicia's account one year ago.
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