Loan Amortization Schedule

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How Amortization Works

With an amortized loan, each monthly payment is the same amount, but the split between principal and interest changes over time. Early in the loan, most of your payment goes toward interest. As you pay down the principal, more of each payment reduces your balance.

The Formula

Monthly payment is calculated using:

M = P × [r(1+r)ⁿ] / [(1+r)ⁿ - 1]

Where M = monthly payment, P = principal, r = monthly interest rate, n = total number of payments.

15-Year vs 30-Year: What Changes

The loan term has a larger effect on total interest than most people expect. Here is the same $300,000 loan at 6.5% with different terms:

Term Monthly Payment Total Interest Total Paid
10 years $3,407 $108,878 $408,878
15 years $2,613 $170,388 $470,388
20 years $2,238 $237,183 $537,183
30 years $1,896 $382,633 $682,633

Cutting the term from 30 to 15 years costs $717 more per month but saves $212,245 in total interest.

Tips for Paying Off Faster

  • Make extra principal payments — Even $100/month extra on a $250,000 loan at 6.5% saves over $60,000 in interest and cuts roughly 5 years off the term.
  • Bi-weekly payments — Pay half the monthly amount every two weeks. You make 26 half-payments per year (13 full payments instead of 12). That extra annual payment goes entirely toward principal.
  • Round up payments — Pay $1,500 instead of $1,432. The extra $68 goes to principal, and the effect compounds over time.
  • Refinance when rates drop — A lower rate means more of each payment goes to principal from day one. Be cautious about extending the term, which can increase total interest even at a lower rate.
  • Apply windfalls — Tax refunds, bonuses, or gift money applied as lump-sum principal payments early in the loan have the greatest impact on total interest.

Frequently Asked Questions

What is a loan amortization schedule?

A loan amortization schedule is a table showing every payment over the life of a loan. Each row breaks a single payment into the portion that goes toward principal (reducing your balance) and the portion that goes toward interest. It also shows the remaining balance after each payment. For example, on a $250,000 mortgage at 6.5% for 30 years, the first monthly payment of $1,580.17 splits into roughly $1,354 interest and $226 principal.

How is the monthly payment on an amortized loan calculated?

The monthly payment uses the formula M = P × [r(1+r)n] / [(1+r)n − 1], where P is the loan principal, r is the monthly interest rate (annual rate ÷ 12), and n is the total number of payments (years × 12). For a $200,000 loan at 7% for 30 years: r = 0.07/12 = 0.005833, n = 360, M = $1,330.60 per month.

Why does most of my early payment go to interest?

Each month, interest is calculated on the remaining balance. At the start, your balance is highest, so the interest charge is largest. As you gradually pay down the principal, the interest portion shrinks and more of each fixed payment goes toward reducing the balance. On a 30-year mortgage, roughly 60–80% of the first year's payments typically go toward interest.

What is the difference between amortized and interest-only loans?

An amortized loan has fixed payments that cover both interest and principal, so the balance reaches zero by the end of the term. An interest-only loan requires you to pay just the interest for a set period — your balance stays the same. After the interest-only period ends, payments jump because you must start repaying principal in less time.

How much total interest will I pay over a 30-year mortgage?

Total interest depends on the loan amount and rate. For a $300,000 mortgage at 6.5% for 30 years, the monthly payment is $1,896.20 and total payments are $682,633 — meaning you pay $382,633 in interest over the full term. That is more than the original loan amount. Shorter terms (15 or 20 years) dramatically reduce total interest.

How do extra principal payments affect my loan?

Extra principal payments reduce the outstanding balance faster, which means less interest accrues each month. For example, adding $200 per month to a $250,000 mortgage at 6.5% for 30 years can save over $90,000 in total interest and pay off the loan roughly 6 years early. Even small one-time extra payments early in the loan have a large cumulative effect.

What is the difference between a 15-year and 30-year mortgage?

A 15-year mortgage has higher monthly payments but much lower total interest. For a $300,000 loan at 6.5%: the 30-year payment is $1,896/month ($382,633 total interest); the 15-year payment is $2,613/month ($170,388 total interest). The 15-year option saves $212,245 in interest but requires $717 more per month.

Does my amortization schedule change if I refinance?

Yes. Refinancing creates an entirely new amortization schedule based on the new loan amount, interest rate, and term. If you refinance into a lower rate, more of each payment goes toward principal from the start. However, refinancing to a new 30-year term resets the amortization clock, which can increase total interest paid even at a lower rate.

What does negative amortization mean?

Negative amortization occurs when your monthly payment is less than the interest due. The unpaid interest gets added to the principal, so your balance grows instead of shrinking. This can happen with certain adjustable-rate mortgages or payment-option loans. It means you owe more than you originally borrowed.

How do I find the principal and interest split for a specific payment?

For any payment: Interest = remaining balance × monthly rate. Principal = total payment − interest. For example, if your balance is $200,000, rate is 6% (0.5% monthly), and payment is $1,199: interest = $200,000 × 0.005 = $1,000; principal = $1,199 − $1,000 = $199. After this payment, the new balance is $199,801.

Can I use this for car loans or student loans?

Yes. The amortization formula works the same for any fixed-rate, fixed-term loan — mortgages, car loans, personal loans, and most student loans. Enter the loan amount, annual interest rate, and term in years. The main difference is that car loans typically have 3–7 year terms and student loans vary widely.

What is the effect of bi-weekly payments on amortization?

Bi-weekly payments mean paying half your monthly amount every two weeks. Since there are 52 weeks in a year, you make 26 half-payments — equivalent to 13 full monthly payments instead of 12. That one extra payment per year goes entirely to principal. On a $250,000 mortgage at 6.5%, bi-weekly payments can shave about 4–5 years off a 30-year term and save tens of thousands in interest.

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Loan Amortization Schedule FAQ

What is a loan amortization schedule?

A loan amortization schedule is a table showing every payment over the life of a loan. Each row breaks a single payment into the portion that goes toward principal (reducing your balance) and the portion that goes toward interest. It also shows the remaining balance after each payment. For example, on a $250,000 mortgage at 6.5% for 30 years, the first monthly payment of $1,580.17 splits into roughly $1,354 interest and $226 principal.

How is the monthly payment on an amortized loan calculated?

The monthly payment uses the formula M = P × [r(1+r)^n] / [(1+r)^n − 1], where P is the loan principal, r is the monthly interest rate (annual rate ÷ 12), and n is the total number of payments (years × 12). For a $200,000 loan at 7% for 30 years: r = 0.07/12 = 0.005833, n = 360, M = $1,330.60 per month.

Why does most of my early payment go to interest instead of principal?

Each month, interest is calculated on the remaining balance. At the start, your balance is highest, so the interest charge is largest. As you gradually pay down the principal, the interest portion shrinks and more of each fixed payment goes toward reducing the balance. On a 30-year mortgage, roughly 60-80% of the first year's payments typically go toward interest.

What is the difference between amortized and interest-only loans?

An amortized loan has fixed payments that cover both interest and principal, so the balance reaches zero by the end of the term. An interest-only loan requires you to pay just the interest for a set period — your balance stays the same. After the interest-only period ends, payments jump because you must start repaying principal in less time.

How much total interest will I pay over the life of a 30-year mortgage?

Total interest depends on the loan amount and rate. For a $300,000 mortgage at 6.5% for 30 years, the monthly payment is $1,896.20 and total payments are $682,633 — meaning you pay $382,633 in interest over the full term. That is more than the original loan amount. Shorter terms (15 or 20 years) dramatically reduce total interest.

How does making extra principal payments affect my loan?

Extra principal payments reduce the outstanding balance faster, which means less interest accrues each month. For example, adding $200 per month to a $250,000 mortgage at 6.5% for 30 years can save over $90,000 in total interest and pay off the loan roughly 6 years early. Even small one-time extra payments early in the loan have a large cumulative effect.

What is the difference between a 15-year and 30-year mortgage?

A 15-year mortgage has higher monthly payments but much lower total interest. For a $300,000 loan at 6.5%: the 30-year payment is $1,896/month ($382,633 total interest); the 15-year payment is $2,613/month ($170,388 total interest). The 15-year option saves $212,245 in interest but requires $717 more per month.

Does my amortization schedule change if I refinance?

Yes. Refinancing creates an entirely new amortization schedule based on the new loan amount, interest rate, and term. If you refinance into a lower rate, more of each payment goes toward principal from the start. However, refinancing to a new 30-year term resets the amortization clock, which can increase total interest paid even at a lower rate.

What does negative amortization mean?

Negative amortization occurs when your monthly payment is less than the interest due. The unpaid interest gets added to the principal, so your balance grows instead of shrinking. This can happen with certain adjustable-rate mortgages or payment-option loans. It means you owe more than you originally borrowed.

How do I find the principal and interest split for a specific payment?

For any payment: Interest = remaining balance × monthly rate. Principal = total payment − interest. For example, if your balance is $200,000, rate is 6% (0.5% monthly), and payment is $1,199: interest = $200,000 × 0.005 = $1,000; principal = $1,199 − $1,000 = $199. After this payment, the new balance is $199,801.

Can I amortize a car loan or student loan the same way?

Yes. The amortization formula works the same for any fixed-rate, fixed-term loan — mortgages, car loans, personal loans, and most student loans. Enter the loan amount, annual interest rate, and term in years. The main difference is that car loans typically have 3-7 year terms and student loans vary widely.

What is the effect of bi-weekly payments on amortization?

Bi-weekly payments mean paying half your monthly amount every two weeks. Since there are 52 weeks in a year, you make 26 half-payments — equivalent to 13 full monthly payments instead of 12. That one extra payment per year goes entirely to principal. On a $250,000 mortgage at 6.5%, bi-weekly payments can shave about 4-5 years off a 30-year term and save tens of thousands in interest.

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