question archive The pawn shop adds 2 percent to loan balances for every two weeks a loan is outstanding

The pawn shop adds 2 percent to loan balances for every two weeks a loan is outstanding

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The pawn shop adds 2 percent to loan balances for every two weeks a loan is outstanding. What is the effective annual rate they are charging?

Select one: a. 73.08% b. 51.21% c. 67.34% d. 79.97% e. 83.43%

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Answer: Option C: 67.34%

Calculation:

Adding 2% every two weeks amouts to compounding at 2% every two weeks.  
As there are 52 weeks or 26 'two weeks'  
the effective rate will be 1.02^26-1 = 67.34%