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📉 Amortization Calculator

This amortization calculator computes the fixed monthly payment on a loan and shows how that payment splits between interest and principal over time. It reports the first-year interest and principal totals, the balance remaining at the halfway point of the term, and the total interest paid over the life of the loan. The interest-heavy early years of an amortizing loan are the key pattern this tool makes visible.

आख़िरी बार समीक्षा: 2026-07-07

आपका विवरण

INR
%
years

परिणाम

Monthly payment₹1,461
First-year interest paid₹12,383
First-year principal repaid₹5,155
Balance at halfway point₹1,62,765
Total interest paid₹1,88,443

Understanding your amortization results

The interest/principal split depends on the rate and term. These reference points describe the typical shape of a fixed-rate amortization schedule.

Point in scheduleTypical pattern (fixed-rate amortizing loan)
Early yearsPayments are interest-heavy; on long, higher-rate loans most of each payment is interest
Halfway point (time)More than half the original balance usually remains — balance midpoint comes later than time midpoint
Late yearsPayments are principal-heavy; interest cost per month shrinks with the balance
Total interestGrows with both rate and term; a longer term at the same rate always increases total interest
  • The model assumes a fixed rate, equal monthly payments, no fees and no prepayments. Adjustable-rate loans and loans with escrowed taxes and insurance will differ.
  • Extra payments applied to principal shorten the schedule and cut total interest; whether prepayment is advantageous also depends on prepayment penalties and alternative uses of the money.
  • Rates, fees and prepayment rules vary by lender, product and jurisdiction; a licensed adviser or the lender's own schedule should be consulted for decisions.

What is loan amortization?

Amortization is the process of repaying a loan in equal periodic payments that cover both interest and principal, so the balance reaches exactly zero at the end of the term. Each month, interest is charged on the remaining balance; the rest of the fixed payment reduces the principal. Because the balance is largest at the start, early payments are mostly interest, and the principal share grows month by month.

An amortization schedule is the month-by-month table of these splits. This calculator summarizes the schedule's most decision-relevant points: how much of the first year's payments go to interest versus principal, how much is still owed at the halfway point of the term, and the total interest cost over the full term.

A notable property of long amortizing loans is that the halfway point in time is not the halfway point in balance. On a 25-year loan at 5%, more than half the original principal is still owed after 12.5 years, because the early payments retired relatively little principal. This is why extra principal payments made early in a loan's life reduce total interest more than the same payments made later.

How to use this amortization calculator

  1. Enter the loan principal — the amount borrowed, not the price of the asset.
  2. Enter the annual interest rate on the loan agreement (the note rate).
  3. Enter the term in years. Mortgages commonly run 15–30 years; the calculator accepts 1–40.
  4. Read the fixed monthly payment, the first-year interest/principal split, the balance remaining at the halfway point, and the total interest over the full term.

The amortization formula

M = P · [r(1 + r)^n] / [(1 + r)^n − 1]
Interest (month k) = balance(k−1) × r
Principal (month k) = M − interest(k)
Total interest = M · n − P

The fixed monthly payment M is derived from the present-value annuity formula, with monthly rate r (annual rate ÷ 12) and n total payments. Each month, interest equals the current balance times r; principal repaid equals M minus that interest; and the balance falls by the principal portion.

Worked example: a $250,000 loan at 5% for 25 years (300 payments) has r = 0.05 ÷ 12 ≈ 0.004167 and M ≈ $1,461.48. In month one, interest is 250,000 × 0.004167 ≈ $1,041.67, so only about $419.81 reduces principal. Over the full term the borrower pays about $438,444 in total, of which about $188,444 is interest.

Common mistakes

  • Assuming half the loan is repaid halfway through the term — early payments are mostly interest, so the balance midpoint arrives later.
  • Entering the asset price instead of the amount borrowed as the principal.
  • Comparing loans by monthly payment while ignoring total interest, which grows with the term.
  • Confusing the note rate with APR; APR includes fees and is typically slightly higher.
  • Expecting extra payments to lower the required monthly payment — on most fixed loans they shorten the term instead.

अक्सर पूछे जाने वाले सवाल

What is an amortization schedule?

An amortization schedule is a table showing, for every payment of a loan, how much goes to interest, how much goes to principal, and the balance remaining afterward. On a fixed-rate loan the payment is constant, but the interest portion shrinks and the principal portion grows each month as the balance falls.

Why is so much of my early payment interest?

Interest each month equals the outstanding balance times the monthly rate. At the start of the loan the balance is at its maximum, so the interest charge consumes most of the fixed payment. On a $250,000 loan at 5% over 25 years, the first payment of about $1,461 includes roughly $1,042 of interest and only about $420 of principal.

How do extra principal payments affect amortization?

Extra payments applied directly to principal reduce the balance on which all future interest is calculated. This shortens the payoff time and reduces total interest, with the largest effect when extra payments are made early in the term. Most fixed loans keep the required monthly payment unchanged and simply end sooner; borrowers should confirm the lender applies extra amounts to principal and check for prepayment penalties.

How much is still owed halfway through a loan?

Usually more than half the original principal. Because early payments are interest-heavy, principal reduction accelerates only in the later years. This calculator reports the exact halfway-point balance for your inputs; on a 25-year, 5% loan the balance after 12.5 years is still well above 50% of the original amount.

Does this calculator work for mortgages and personal loans alike?

Yes. The standard amortization formula applies to any fully amortizing fixed-rate loan — mortgages, car loans, personal loans and student loans with fixed rates. What differs between products is typical rates, terms, fees and whether items such as taxes and insurance are collected alongside the payment; those extras are not modeled here.

संदर्भ

  1. Consumer Financial Protection Bureau (CFPB). What is amortization and how could it affect my auto loan? consumerfinance.gov.
  2. Federal Reserve Board. A consumer's guide to mortgage refinancing — amortization concepts. federalreserve.gov.
  3. Brealey RA, Myers SC, Allen F. Principles of Corporate Finance (13th ed.). McGraw-Hill, 2020. Chapter 2: How to Calculate Present Values.
  4. Bodie Z, Kane A, Marcus AJ. Investments (12th ed.). McGraw-Hill, 2021 — annuity valuation.
  5. Freddie Mac. Understanding loan amortization. freddiemac.com.

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