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What is Mortgage Amortization?

Mortgage amortization is the schedule of principal and interest payments over the life of a fixed-rate mortgage. Each monthly payment is split between interest (on the remaining balance) and principal (which reduces the balance). Early payments are mostly interest; later payments are mostly principal. The total payment stays constant.

Detailed definition

Mortgage amortization describes how a level monthly payment gets sliced into interest and principal over time. The standard amortization formula is M = P x (r(1+r)^n) / ((1+r)^n - 1), where M is the monthly payment, P is the principal, r is the monthly interest rate, and n is the number of months. Once M is fixed, each month the bank computes that month's interest on the remaining balance, and whatever is left of M becomes principal reduction.

The kicker is how unevenly the split runs. On a $400,000 30-year mortgage at 6.5%, the first month's $2,528 payment is $2,167 interest and $361 principal, which is 86% interest. By year 15, the split is 60-40 interest. The principal portion does not exceed the interest portion until year 19. Over the full 30 years you pay $510,000 in interest, more than the original loan amount itself.

The mathematical roots go back to actuarial work in 17th-century England, but the modern fixed-rate, fully amortizing 30-year mortgage is a US invention from the 1930s. The Home Owners' Loan Corporation (1933) and then the Federal Housing Administration (1934) replaced the previous standard of 5 to 10 year balloon loans, where borrowers paid only interest and rolled the principal forward, with self-liquidating long amortization schedules. That structural shift is what made mass home-ownership financially possible in the United States, and the same template was later copied by lenders in the UK, Canada, Australia, and India.

Extra principal payments are exponentially powerful early. An extra $200 a month in year 1 of the $400,000 6.5% mortgage cuts about 6 years off the loan and saves $115,000 in interest. The same $200 in year 20 saves less than $5,000. This is why financial advisors push 'snowball' principal pre-payment strategies in the first decade, and why biweekly schedules (which sneak one extra full payment per year) consistently outperform monthly schedules over the life of the loan.

Jurisdictions handle the schedule differently. US 30-year fixed loans typically run on a US Treasury Actuarial 30/360 day-count and allow free pre-payment. UK mortgages are usually 2 to 5 year fixed teasers that then float, with redemption charges on early payoff during the fix. Indian home loans use a daily reducing balance method and are almost always floating-rate after the first year, so the amortization schedule the borrower signs at origination is a forecast, not a contract.

Formula

Monthly Payment = P x (r(1+r)^n) / ((1+r)^n - 1)
  • P = Loan principal
  • r = Monthly interest rate (annual rate / 12, e.g., 0.005417 for 6.5%)
  • n = Number of monthly payments (360 for a 30-year loan)

Worked example

Suppose you take a $400,000 30-year fixed mortgage at 6.5% APR. Examine the interest/principal split in the first month versus year 15.

  1. Loan amount (P): $400,000
  2. Monthly rate (r): 0.065 / 12 = 0.005417
  3. Monthly payment (M): $2,528.27
  4. Month 1 interest: $400,000 x 0.005417: $2,166.67
  5. Month 1 principal: $2,528 - $2,167: $361.60
Result: Your first $2,528 mortgage payment is 86% interest and 14% principal. By month 180 (year 15), the balance is about $307,000 and the split shifts to roughly 60% interest, 40% principal. The principal portion only exceeds interest in year 19.

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Frequently asked questions

What is mortgage amortization?

Mortgage amortization is the schedule by which each monthly payment is split between interest (on the remaining balance) and principal (reducing the balance). The total payment stays constant on a fixed-rate mortgage.

Why are early mortgage payments mostly interest?

Because the remaining balance is highest at the start. Interest each month equals balance times monthly rate. On a $400,000 6.5% loan, month one's interest is $2,167 - leaving only $361 of the $2,528 payment for principal.

How can I reduce mortgage interest paid?

Make extra principal payments (especially in years 1 to 10), refinance to a shorter term, or pay biweekly (which adds one extra full payment per year). Early extra principal saves dramatically more than late extra principal.

What is negative amortization?

Negative amortization happens when the monthly payment is less than the monthly interest, so the unpaid interest gets added to the loan balance. Some adjustable-rate and graduated-payment loans allow this; it is increasingly rare after the 2008 crisis.

When do I pay more principal than interest?

On a 30-year 6.5% mortgage, you do not pay more principal than interest until roughly month 215 (year 18). On a 15-year mortgage, the crossover happens around year 4. Shorter terms have much faster amortization.

What is the difference between amortization and depreciation?

Amortization is the scheduled reduction of a loan balance over time. Depreciation is the accounting allocation of a physical asset's cost over its useful life. Both spread something across time but apply to different things.

How does a 15-year mortgage amortize compared with a 30-year?

A 15-year mortgage at 6.0% on $400,000 has a monthly payment of about $3,375 versus $2,398 for a 30-year at the same rate, but lifetime interest drops from $463,000 to $207,000 (roughly $256,000 saved). The principal-over-interest crossover happens at month 47 on the 15-year, compared with month 219 on the 30-year.

Does mortgage amortization change if interest rates change?

On a fixed-rate loan, no. The schedule is locked when you sign the note. On an adjustable-rate mortgage (ARM), the lender recalculates a new amortization schedule each time the rate resets, keeping the remaining balance and remaining term but using the new rate, which changes the monthly payment.