Answer:
a) Monthly payments = $22,969.38
b) Effective rate of return= 7.12%
Explanation:
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.
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%
