2. Simple versus compound interest Financial contracts involving investments, mortgages, loans, and so on are...
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Finance
2. Simple versus compound interest
Financial contracts involving investments, mortgages, loans, and so on are based on either a fixed or a variable interest rate. Assume that fixed interest rates are used throughout this question.
Emma deposited $500 in a savings account at her bank. Her account will earn an annual simple interest rate of 9%. If she makes no additional deposits or withdrawals, how much money will she have in her account in 11 years?
$145.00
$995.00
$549.05
$1,290.21
Now, assume that Emmas savings institution modifies the terms of her account and agrees to pay 9% in compound interest on her $500 balance. All other things being equal, how much money will Emma have in her account in 11 years?
$116.12
$1,290.21
$995.00
$545.00
Suppose Emma had deposited another $500 into a savings account at a second bank at the same time. The second bank also pays a nominal (or stated) interest rate of 9% but with quarterly compounding. Keeping everything else constant, how much money will Emma have in her account at this bank in 11 years?
$130.56
$1,330.93
$145.00
$546.54
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