Mortgage Amortization Schedule Example: See How Payments Work

📚 Quick Study Guide: Mortgage Amortization

• 📈 What is Amortization? It's the process of paying off debt over time through regular, equal payments. For a mortgage, each payment consists of both principal and interest.
• 💰 Amortization Schedule: A table detailing each periodic payment, showing how much goes towards interest, how much towards principal, and the remaining loan balance.
• 📉 Interest vs. Principal: In the early years of a mortgage, a larger portion of your payment goes towards interest. As the loan matures, more of each payment is applied to the principal.
• 🔢 Key Formula for Monthly Payment ($M$):$M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1]$
  • 💲 $P$ = Principal Loan Amount
  • 🗓️ $i$ = Monthly Interest Rate (Annual Rate / 12)
  • ⏱️ $n$ = Total Number of Payments (Loan Term in Years * 12)
• 💡 Impact of Extra Payments: Making additional principal payments can significantly reduce the total interest paid and shorten the loan term.
• ⏳ Term Length: Common mortgage terms are 15 or 30 years. A shorter term means higher monthly payments but less total interest paid over the life of the loan.
• ⚖️ Fixed vs. Adjustable Rate: Most amortization schedules assume a fixed interest rate. Adjustable-rate mortgages (ARMs) have rates that change, making their amortization schedules less predictable.

🧠 Practice Quiz: Mortgage Amortization

1. Which component of a mortgage payment typically makes up a larger portion in the early years of a loan?

   A) Property taxes

   B) Homeowner's insurance

   C) Interest

   D) Principal

2. What does an amortization schedule primarily illustrate?

   A) The fluctuating market value of a home.

   B) How each payment is allocated between principal and interest over the loan term.

   C) The lender's profit margins on the loan.

   D) The borrower's credit score changes over time.

3. If you make an extra payment solely towards the principal of your mortgage, what is the immediate effect?

   A) Your monthly interest rate increases.

   B) Your next monthly payment is skipped.

   C) The total interest paid over the loan's life may decrease.

   D) The loan term automatically extends.

4. In the mortgage payment formula $M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1]$, what does '$i$' represent?

   A) The initial loan amount.

   B) The total number of payments.

   C) The annual interest rate.

   D) The monthly interest rate.

5. Compared to a 30-year mortgage, a 15-year mortgage typically results in:

   A) Lower monthly payments but higher total interest paid.

   B) Higher monthly payments and lower total interest paid.

   C) Similar monthly payments but much longer loan term.

   D) No significant difference in total interest paid.

6. Which statement about mortgage amortization is TRUE?

   A) The principal portion of the payment decreases over time.

   B) The interest portion of the payment decreases over time.

   C) The total monthly payment decreases over time for a fixed-rate mortgage.

   D) The loan balance increases after each payment.

7. A homeowner decides to refinance their 30-year mortgage after 10 years into a new 15-year mortgage. How will this likely affect their monthly payment and total interest?

   A) Both monthly payment and total interest will decrease.

   B) Monthly payment will increase, but total interest will decrease.

   C) Monthly payment will decrease, but total interest will increase.

   D) Both monthly payment and total interest will increase.