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What is the highest Investment total I could achieve with a five year investment, rate of...

What is the highest Investment total I could achieve with a five year investment, rate of return of 10%, initial investment of $0 and a $100 annual investment? Will simple interest be greater than compound interest?

A. More than $650, Simple Interest > Compound Interest

B. Less than $650, Simple Interest < Compound Interest

C. $650 Simple Interest < Compound Interest

D. $650 Simple Interest = Compound Interest

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Answer #1

B. Less than $650, Simple Interest < Compound Interest

FV of annuity = Annuity*((1+r)^n-1)/r

=100*(1.1^5-1)/0.1

=610.51

The future value is 610.51 and simple interest will be less than compound interest since interest is paid only on principal and not on the interest.

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