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Makovka662 [10]
3 years ago
5

Prescott Bank offers you a $23,000, 6-year term loan at 8 percent annual interest. What will your annual loan payment be?

Business
1 answer:
scoray [572]3 years ago
7 0

Answer:

Annual payment= $3,901.78

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 instalment is computed as follows:  

Monthly installment= Loan amount/annuity factor

Loan amount;  = 23,000

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

r -monthly rate of interest, n- number of months

r- 8%/12 = % = 0.6667 , n = 8 × 12 = 96  

Annuity factor = ( 1- (1+0.6667)^(-96))/0.6667

= 70.7370    

Monthly installment = Loan amount /annuity factor

= 23,000/70.7370  = 325.15

Annual payment = 12×  325.15 = $3901.78

Annual payment= $3,901.78

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