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UkoKoshka [18]
3 years ago
14

A commercial bank will loan you $20,000 for four years to buy a car. The loan must be repaid in 48 equal monthly payments. The a

nnual interest rate on the loan is 6.00 percent of the unpaid balance. How large are the monthly payments?
Business
1 answer:
Lisa [10]3 years ago
8 0

Answer:

Monthly payment = $469.701

Explanation:

<em>Loan Amortization: A loan repayment method structured such that a series of equal periodic installments will be paid for certain number of periods to offset both the loan principal amount and the accrued interest.  </em>

The monthly equal installment is calculated as follows:  

Monthly equal installment= Loan amount/Monthly annuity factor  

Loan amount = 20,000

Monthly annuity factor  =

=( 1-(1+r)^(-n))/r  

r- Monthly interest rate (r)  

= 6/12= 0.5%  

n- Number of months ( n) = 20 × 4 = 48

Annuity factor  

= ( 1- (1.005)^(-48)/0.005= 42.5803

Monthly installment= 20,000 /42.5803  = $469.701

Monthly installment = $469.701

Monthly payment = $469.701

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