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.)

Answer the following statement true (T) or false (F)


True

Rationale: Work out the numbers with a calculator:

PV1000FVA =$1,710.34
Rate on A5%2 × FVA =$3,420.68
Rate on B12%FVB =$3,478.55
Years11FVB> 2 × FVA, so TRUE 

Business

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