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You borrow $20,000 to buy a boat. The loan is to be paid off in monthly installments over one year at 18% interest annually. The first payment is due one month from today. What is the amount of each monthly payment

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Answer:

Monthly payment = $1,833.599

Explanation:

Loan amortization is a method of loan repayment where a series of equal amount is used to offset the principal and the interest due on a loan contract.

The monthly equal amount = loan amount/annuity factor

Annuity factor = 1- (1+r)^(-n))/r

r- monthly interest rate = 18%/12 = 1.5%

n- number of months = 12 months

Annuity factor = (1-(1.015)^(-12))/0.05

                    =  10.9075

Monthly payment = 20,000/10.90750521

                            =1,833.599

Monthly payment =$1,833.599