Asked by Vinnie Bakerian on May 01, 2024

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Determine the annual effective rate of a credit card offering 1.3% monthly.

A) 16.77%
B) 16.47%
C) 16.07%
D) 15.77%
E) 15.47%

Monthly

Occurring, produced, or done every month.

Annual Effective Rate

The interest rate on a loan or investment, adjusted for compounding over a one-year period.

  • Examines the influence of modifying interest rates on finance costs and the effective interest rates.
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ZK
Zybrea KnightMay 03, 2024
Final Answer :
A
Explanation :
The annual effective rate (AER) can be calculated using the formula for compound interest: AER=(1+r)n−1AER = (1 + r)^n - 1AER=(1+r)n1 , where rrr is the monthly interest rate and nnn is the number of compounding periods in a year. Given a monthly rate of 1.3%, or 0.013 in decimal form, and 12 compounding periods (months) in a year, the calculation is AER=(1+0.013)12−1AER = (1 + 0.013)^{12} - 1AER=(1+0.013)121 . This equals approximately 0.1677 or 16.77% when converted to a percentage.