question archive What payment is required at the end of each month for 5 years to repay a loan of $20 000

What payment is required at the end of each month for 5 years to repay a loan of $20 000

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What payment is required at the end of each month for 5 years to repay a loan of $20 000.00 at 6.0% compounded monthly?  

 

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386.6560306, or 386.66

Step-by-step explanation

Use the present value annuity formula.

P = loan amount = 20,000

n = number of periods = 5 x 12 = 60

r = periodic rate = 0.06/12 = 0.005

A = periodic payment = ?

 

P = A x (1-(1+r)-n) / r

20,000 = A x (1-(1+0.005)-60) / 0.005

A = 20,000 / 51.72556075

A = 386.6560306, or 386.66