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Find the effective annual interest rate of 4% compounded quarterly.

a. 4.31%
b. 4.25%
c. 4.75%
d. 4.06%
e. None of these

User Yoana
by
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1 Answer

4 votes

Final answer:

To find the effective annual interest rate of 4% compounded quarterly, you can use the formula: Effective Annual Interest Rate = (1 + (nominal interest rate / number of compounding periods))^(number of compounding periods) - 1. Plugging in the values, the effective annual interest rate is 4.06%.

Step-by-step explanation:

To find the effective annual interest rate of 4% compounded quarterly, we can use the formula:

Effective Annual Interest Rate = (1 + (nominal interest rate / number of compounding periods))number of compounding periods - 1

Plugging in the values, we have:

Effective Annual Interest Rate = (1 + (0.04 / 4))4 - 1

Calculating this gives:

Effective Annual Interest Rate = 0.0406 or 4.06%

Therefore, the correct answer is d. 4.06%.

User Eeejay
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