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Find the effective annual interest rate r of the given annual interest rate. Round your answer to the nearest 0.01%. 9% compounded quarterly

 Apr 28, 2021
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   Find the effective annual interest rate r of the given annual interest rate.     

   Round your answer to the nearest 0.01%. 9% compounded quarterly     

 

   Using 1000 as starting point.  You can use a different number if you want.     

 

   Quarter     Calculation of Interest             Total in Account at End of Qtr     

        1          1/4 • 0.09 • 1000.00 = 22.50                   1022.50     

        2          1/4 • 0.09 • 1022.50 = 23.01                   1045.51     

        3          1/4 • 0.09 • 1045.51 = 23.52                   1069.03     

        4          1/4 • 0.09 • 1069.03 = 24.05                   1093.08     

 

   Total interest       1093.08 – 1000.00 = 93.08     

   Effective rate       93.08 / 1000 = 0.09308  =  9.308%     

   .     

 May 22, 2026

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