Question

# Complete an amortization schedule for a \$30,000 loan to be repaid in equal installments at the...

1. Complete an amortization schedule for a \$30,000 loan to be repaid in equal installments at the end of each of the next three years. The interest rate is 9% compounded annually. If an amount is zero, enter "0". Do not round intermediate calculations. Round your answers to the nearest cent.

 Beginning Repayment Ending Year Balance Payment Interest of Principal Balance 1 \$ \$ \$ \$ \$ 2 3
2. What percentage of the payment represents interest and what percentage represents principal for each of the three years? Do not round intermediate calculations. Round your answers to two decimal places.

 % Interest % Principal Year 1: % % Year 2: % % Year 3: % %

Why do these percentages change over time?

1. These percentages change over time because even though the total payment is constant the amount of interest paid each year is declining as the remaining or outstanding balance declines.
2. These percentages change over time because even though the total payment is constant the amount of interest paid each year is increasing as the remaining or outstanding balance declines.
3. These percentages change over time because even though the total payment is constant the amount of interest paid each year is declining as the remaining or outstanding balance increases.
4. These percentages change over time because even though the total payment is constant the amount of interest paid each year is increasing as the remaining or outstanding balance increases.
5. These percentages do not change over time; interest and principal are each a constant percentage of the total payment.

a) Amortization Schedule

Equal Annual Installment = Loan Amount / PVAF = \$30,000 / 2.531295 = \$11,851.64

PVAF is the sum of present value of annuity for 3 years

 Year Beginning balance Installment Interest (Op bal * 9%) Principal (installment - int) Ending Balance (Op bal - Principal) 1 \$30,000 \$11,851.64 \$2,700 \$9,151.64 \$20,848.36 2 \$20,848.36 \$11,851.64 \$1876.35 \$9,975.29 \$10,873.07 3 \$10,873.07 \$11,851.65 \$978.57 \$10,873.07 0

b) Computation of % of payment which represents principal and interest

 Year1 % Interest % Principal 1 22.78% 77.22% 2 15.83% 84.17% 3 8.26% 91.74%

c) These percentages changes overtime because even though the total payments is constant the amount of interest paid each year is declining as the remaining or oustanding balance declines.
Option I is correct