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rosijanka [135]
3 years ago
5

Prescott Bank offers you a five-year loan for $55,000 at an annual interest rate of 7.25 percent. What will your annual loan pay

ment be? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
Business
1 answer:
Studentka2010 [4]3 years ago
6 0

Answer:

Annual loan payment = $13,146.78

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  

Monthly annuity factor  

=( 1-(1+r)^(-n))/r  

r- Monthly interest rate (r)  

= 7.25%/12= 0.604 %  

n- Number of months ( n) in 5 years  

= 12* 6 = 60  

Annuity factor  

= ( 1- (1.00604)^(-60)/0.00604= 50.2024

Monthly installment= 55,000 /50.2024 = $1,095.56

 Monthly installment = $1,095.56

Annual loan payment = monthly installment × 12

Annual loan payment =$1,095.56 ×12=13,146.78

Annual loan payment = $13,146.78

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