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Multiple Choice
If a credit card has an APR (Annual Percentage Rate) of 24\%, what does this rate represent?
A
The effective annual rate (EAR) after compounding monthly.
B
The monthly interest rate charged on the credit card balance.
C
The yearly interest rate charged on outstanding balances, not accounting for compounding within the year.
D
The total amount of interest you will pay in one month, including all fees.
Verified step by step guidance
1
Understand the concept of APR (Annual Percentage Rate): APR represents the yearly interest rate charged on outstanding balances, not accounting for compounding within the year. It is a standardized way to express interest rates for comparison purposes.
Clarify the difference between APR and EAR (Effective Annual Rate): APR does not include the effects of compounding, while EAR accounts for compounding and represents the actual annual interest rate paid or earned.
Identify the monthly interest rate: To calculate the monthly interest rate from the APR, divide the APR by 12 (the number of months in a year). For example, if APR is 24%, the monthly interest rate would be \( \text{Monthly Rate} = \frac{24\%}{12} \).
Explain the compounding effect: If compounding occurs monthly, the EAR will be higher than the APR because interest is calculated on the accumulated balance each month. The formula for EAR is \( \text{EAR} = (1 + \text{Monthly Rate})^{12} - 1 \).
Summarize the correct interpretation: The APR of 24% represents the yearly interest rate charged on outstanding balances without accounting for compounding within the year. It does not directly indicate the monthly interest rate or the total amount of interest paid in one month.