Payday loans are very short-term loans that charge very high interest rates. You can borrow $500 today and repay $550 in ten weeks. What is the compound annual rate implied by this 10 percent rate charged for only ten weeks?   5.20 percent 64.15 percent 59.94 percent 10.41 percent

Essentials Of Investments
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ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Chapter1: Investments: Background And Issues
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Payday loans are very short-term loans that charge very high interest rates. You can borrow $500 today and repay $550 in ten weeks. What is the compound annual rate implied by this 10 percent rate charged for only ten weeks?

 

5.20 percent


64.15 percent


59.94 percent


10.41 percent

Expert Solution
Introduction and Formula

Solution:-

Annual effective compound rate means the rate charged on per annum basis after effect of all compoundings in a year. 

So, annual effective interest rate = [(1+ Periodic interest rate)n - 1] x 100

where, n = number of periods in year

Periodic interest rate = Annual interest rate / number of periods in year

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