Answer:
a) Monthly payments = $22,969.38
b) Effective rate of return= 7.12%
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.
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The monthly installment is computed as follows:
Monthly installment= Loan amount/annuity factor
Loan amount; = 74,500
Annuity factor = (1 - (1+r)^(-n))/r
r -monthly rate of interest, n- number of months
r- 6.9%/12 = 0.575
% = 0.00575, n = 36 =
Annuity factor = ( 1- (1+00575)^(-36)/0.00575= 32.434
Monthly installment = Loan amount /annuity factor
= 74,500/32.434= 22,969.38
Required monthly payments = $22,969.38
Effective annual interest rate
Effective rate of return = ((1+r)^n- 1) × 100
where r - monthly interest rate- 6.9%/12 = 0.575%
n- number of months= 12 months
Effective rate of return - (1+00575)^(12) - 1× 100= 7.12%
Effective rate of return= 7.12%
