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Nate borrowed $38,672 from bank and his friends to expand his casino business. Nate set up an aim to pay $2,450 at the end of each week for 16 weeks. Assume each year has 52 weeks. What are the nominal rate per year and the effective interest rate per year?

Respuesta :

Answer:

Hence, the Nominal annual rate is 20.28%.  

Effective annual rate is 22.43%.

Explanation:  

Amount borrowed = $38,672.  

Weekly repayment for 16 weeks = $2,500.  

Loan repayment = (Loan amount x r) / {1-(1+r)-n}  

$2,450 = ($38,672 x r)/{1-(1+r)-16}  

r= 0.39%  

Weekly interest rate = 0.39%  

Nominal annual rate = 0.39 % x  52 weeks = 20.28%  

Effective annual rate = [tex](1 + 0.0039^{52} ) - 1[/tex] = 0.2243 = 22.43%

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