Free Amortization Calculator

See your complete loan amortization schedule instantly. Every payment broken down into principal and interest — with extra payment savings calculator included.

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📅 Full Amortization Schedule

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What is Loan Amortization?

Loan amortization is the process of paying off a debt through regular scheduled payments over time. Each payment covers both interest charges and a portion of the principal balance. In the early years of a loan most of each payment goes toward interest — but as you pay down the balance more goes toward principal. This is why understanding your amortization schedule is so powerful for financial planning.

How Amortization is Calculated

Monthly Payment = P × [r(1+r)^n] / [(1+r)^n - 1] Where: P = Principal loan amount r = Monthly interest rate (Annual rate ÷ 12) n = Total number of payments (Years × 12) Example: $300,000 loan at 7% for 30 years: r = 7% / 12 = 0.5833% n = 30 × 12 = 360 payments Payment = $300,000 × [0.005833 × (1.005833)^360] / [(1.005833)^360 - 1] Payment = $1,995.91 per month Total paid = $1,995.91 × 360 = $718,527 Total interest = $718,527 - $300,000 = $418,527

Why Early Payments Are Mostly Interest

Interest is always calculated on your remaining balance. In month 1 of a $300,000 loan at 7% your interest charge is $300,000 × 0.5833% = $1,750. Your $1,996 payment covers $1,750 in interest leaving only $246 to reduce your balance. By year 25 your balance is much lower so interest might be only $400 leaving $1,596 to reduce principal. This front-loading of interest is why extra payments early in a loan save dramatically more than the same extra payments later.

The Power of Extra Payments

Even small extra payments make a massive difference over time. On a 30-year $300,000 mortgage at 7% paying just $100 extra per month saves approximately $30,000 in interest and pays off the loan 3 years early. Paying $500 extra per month saves approximately $120,000 in interest and pays off the loan 10 years early. Use our extra payment field above to see your exact savings.

Amortization vs Interest Only Loans

Standard amortizing loans pay down both principal and interest with each payment ensuring the loan is fully paid at the end of the term. Interest only loans require only interest payments for a set period — meaning your balance never decreases during that time. Most mortgages and auto loans use standard amortization which this calculator handles.

⚠️ Financial Disclaimer: This amortization calculator provides estimates for informational and educational purposes only. Actual loan payments may differ based on fees, insurance, taxes and lender-specific terms. This tool does not constitute financial advice. Always review your complete loan agreement and consult a qualified financial advisor before making borrowing decisions.

Amortization Calculator — How Loan Payments Are Structured

Amortization is the process of paying off a loan through regular scheduled payments over time. Each payment covers two components: interest on the outstanding balance and principal reduction. In the early months of a loan, the vast majority of each payment goes toward interest. As the balance decreases over time, less interest accrues and more of each payment reduces the principal. This front-loaded interest structure means that making extra payments early in a loan's life saves significantly more interest than the same extra payments made later.

How the Amortization Formula Works

The monthly payment for an amortized loan is calculated using the standard loan payment formula. For a loan amount P, monthly interest rate r (annual rate ÷ 12) and n total payments: Monthly Payment = P × (r × (1+r)^n) ÷ ((1+r)^n − 1). This formula produces a fixed monthly payment that fully pays off the loan in exactly n months. The magic of amortization is that while the payment stays constant, its composition shifts every month — early payments are mostly interest, later payments are mostly principal. Use our mortgage calculator for home loan amortization and our EMI calculator for loan payment calculations.

Month Payment Interest Principal Balance
1$1,073$833$240$199,760
12$1,073$820$253$197,134
60$1,073$762$311$182,572
180$1,073$537$536$128,427
360$1,073$4$1,069$0

*Example: $200,000 loan at 5% interest, 30-year term. Monthly payment = $1,073.

Total Interest Paid — The True Cost of Borrowing

The total interest paid over the life of a loan often surprises borrowers. A $200,000 mortgage at 5% for 30 years has a monthly payment of $1,073 but total payments of $386,512 — meaning $186,512 is paid purely in interest, almost equal to the original loan amount. A 15-year term for the same loan reduces total interest to $84,686 — saving $101,826 — but increases the monthly payment to $1,582. The shorter term saves more than $100,000 but costs $509 more per month. Our amortization calculator shows exactly this trade-off for any loan amount, rate and term.

Loan Amount Rate Term Monthly Payment Total Interest
$200,0005%30 yr$1,073$186,512
$200,0005%15 yr$1,582$84,686
$300,0006%30 yr$1,799$347,515
$300,0006%15 yr$2,532$155,682

Extra Payments — How Much They Save

Making extra principal payments dramatically reduces total interest and shortens the loan term. On a $200,000 mortgage at 5% for 30 years, paying just $100 extra per month saves $29,753 in total interest and shortens the term by 4 years and 2 months. Paying $500 extra per month saves $90,696 and cuts 11 years from the term. The earlier in the loan extra payments are made, the greater the savings — because every dollar of principal eliminated today avoids interest charges for the entire remaining term. Even one extra payment per year (making 13 payments instead of 12) saves significant interest on most mortgages.

Amortization for Different Loan Types

Amortization applies to mortgages, car loans, personal loans and student loans. The principle is identical across all types — fixed payments gradually shifting from interest to principal. Auto loans typically have shorter terms (3-7 years) and higher rates (5-12%) but smaller balances. Personal loans typically run 2-7 years. Student loans often offer income-based repayment plans that are not traditional amortization. Credit cards are not amortized — they use revolving credit with minimum payments that can keep balances outstanding indefinitely. Use our debt payoff calculator to find the fastest path to paying off any loan. Use our lease calculator alongside this calculator for a complete picture.

Negative Amortization — When Your Balance Grows

Negative amortization occurs when loan payments are smaller than the interest accruing — causing the outstanding balance to increase rather than decrease. This happened with some adjustable-rate mortgages and interest-only loans before the 2008 financial crisis. It can also happen with income-driven student loan repayment plans when monthly payments do not cover all accruing interest. Negative amortization is a serious financial risk because it means you can make payments consistently yet owe more than you originally borrowed. Standard fully-amortizing loans with fixed payments eliminate this risk entirely.

Frequently Asked Questions

What is an amortization schedule? +
An amortization schedule is a complete table showing every loan payment broken down into principal and interest components. It shows exactly how much of each payment reduces your loan balance versus how much goes to interest costs — from payment 1 all the way to your final payment. Use our schedule above to see your complete breakdown instantly.
How do I calculate my monthly loan payment? +
Monthly payment = P × r(1+r)^n / ((1+r)^n - 1) where P is loan amount, r is monthly interest rate (annual rate divided by 12) and n is total number of payments. For a $300,000 loan at 7% for 30 years the monthly payment works out to $1,995.91. Use our calculator above for instant results without any math.
Why do early payments go mostly to interest? +
Interest is calculated on your remaining balance each month. Early in the loan the balance is at its highest so interest charges are at their highest too. As you steadily pay down the principal the balance drops and interest decreases while the principal portion of each payment increases. This is exactly why making extra payments early in a loan saves dramatically more interest than the same extra payments made later.
How much total interest will I pay on my loan? +
Total interest equals total of all payments minus the original loan amount. On a 30-year $300,000 mortgage at 7% you make 360 payments of $1,995.91 totaling $718,527 — meaning you pay $418,527 in interest over the life of the loan. That is more than the original loan amount! Our calculator shows your exact total interest instantly based on your specific loan details.
How much can I save by making extra payments? +
Extra payments go directly to reducing principal which reduces your balance faster and cuts interest dramatically. On a 30-year mortgage at 7% paying $100 extra per month saves approximately $30,000 in interest and pays off 3 years early. Paying $500 extra monthly saves over $120,000 and pays off 10 years early. Enter an extra payment amount in our calculator above to see your exact savings.
What is the difference between 15 year and 30 year mortgage amortization? +
A 15-year mortgage has higher monthly payments but dramatically lower total interest. On a $300,000 loan at 7% a 30-year mortgage costs $418,527 in total interest while a 15-year mortgage costs only $185,367 — saving $233,160. The 15-year monthly payment is about $600 higher but you build equity much faster and own your home outright in half the time.
Can I pay off my mortgage early without penalty? +
Most modern mortgages in the US have no prepayment penalty — you can make extra payments or pay off early without any fees. However always check your specific loan agreement as some loans especially older ones or certain refinanced loans may have prepayment penalty clauses typically within the first 3-5 years. If your loan has no prepayment penalty making extra payments is always a smart financial move.

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