question archive 1)John Doe Enterprises borrowed $149,500 for three years from the bank

1)John Doe Enterprises borrowed $149,500 for three years from the bank

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1)John Doe Enterprises borrowed $149,500 for three years from the bank. At the end of the three years, they repaid the loan with one payment of $176,590. What was the quoted interest rate on the loan? Assume the interest rate is quoted as APR compounded annually. 

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Quoted interest rate = 5.71% 

Step-by-step explanation

The calculation is shown below:

Present Value = Future Value/(1+APR)^Years 

$149,500 = $176,590/(1+APR)^3 

(1+APR)^3 = ($176,590/$149,500) 

APR = [($176,590/$149,500)^(1/3)] - 1 

= [(1.18120401338)^(1/3)] - 1 

= 1.0570810919 - 1 

= 0.0570810919 

Or 

= 5.71% 

 

Quoted interest rate = 5.71%