A dollar invested today grows to $1.10 in six months. What is the effective annual rate if you deposit your money in a bank for one year? a. none of them. b. 5% c. 21% d. 10% e. 20%
Question
A dollar invested today grows to $1.10 in six months. What is the effective annual rate if you deposit your money in a bank for one year?
a. none of them.
b. 5%
c. 21%
d. 10%
e. 20%
Solution
The correct answer is c. 21%.
Here's the step-by-step calculation:
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The growth rate for six months is 10% (from 1.10).
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Since the question asks for the effective annual rate, we need to consider the compounding effect.
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If you invest 1.10 after six months. If you reinvest that 1.10 * 1.10 = $1.21 at the end of one year.
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Therefore, the effective annual rate is 21% (from 1.21).
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