ΣCALCULATORWizard
📅 Amortization

Amortization Calculator

Generate a full amortization schedule with monthly or yearly view. Compare up to 3 loans. See exactly how extra payments reduce interest and accelerate your payoff date.

Quick load
30yr Mortgage $400K Home Auto Loan Personal Loan Student Loan
$
%
Extra Payments (Optional)
$
Applied to principal every month
$
Applied in month 12 of each year (e.g. tax refund)
$
Month number when one-time payment is made
Monthly Payment
Total Interest
Total Cost
Loan Amount
principal
Interest Rate
annual
Payoff Date
est. completion
Interest Ratio
interest / total
Principal vs total interest paid
Amortization schedule
Hide

Enter up to 3 loans to compare monthly payments, total interest, and total cost. Useful for evaluating different terms, rates, or loan types side by side.

🟦 Loan A
$
%
🟧 Loan B
$
%

See exactly what different extra payment strategies do to your payoff timeline and total interest. Enter your loan details, then choose a target payoff goal or compare preset acceleration scenarios.

$
%
$
Target Payoff Goal (Optional)
Leave blank to just see scenarios
Extra Monthly Payment Needed

Understanding Loan Amortization: How Every Payment Is Split

When you take out an installment loan — a mortgage, auto loan, personal loan, or student loan — each monthly payment you make is split into two components: a portion that pays down the principal (the amount you borrowed) and a portion that pays interest (the cost of borrowing). This split is not fixed throughout the life of the loan. It changes every single month according to a mathematical process called amortization.

In the early months of a fully amortized loan, the interest component dominates. On a $300,000 30-year mortgage at 7%, the first payment of $1,996 is split approximately $1,750 to interest and only $246 to principal. By the final payment, the split has flipped completely: nearly the entire payment goes to principal with just a few dollars to interest. The amortization schedule is the complete table documenting every one of these splits across every payment of the loan's term.

The Amortization Formula

Monthly payment is calculated using the standard loan payment formula: M = P × [r(1+r)^n] / [(1+r)^n − 1] where M is the monthly payment, P is the principal balance, r is the monthly interest rate (annual rate ÷ 12), and n is the total number of payments (years × 12). This formula ensures that equal payments made every month will exactly retire the debt at the end of term n, with no balance remaining and no underpayment — the defining characteristic of a fully amortized loan. The math is elegant: as the principal shrinks each month, less interest accrues, which means more of the fixed payment goes toward principal, which shrinks it faster, which reduces interest further, and so on until the balance reaches zero.

Front-Loading of Interest: Why Early Payments Matter Most

The front-loading effect has profound implications for borrowers who are considering extra payments or refinancing. Because interest is charged as a percentage of the outstanding balance, and the balance is highest at the beginning of the loan, the early years are when the bank earns the most from you. On a 30-year $300,000 mortgage at 7%, you pay approximately $104,000 in interest in just the first 10 years — about 44% of your total interest bill — while only reducing your balance by about $44,000. This is why refinancing early in a loan term (while the balance is still high) captures more savings than refinancing late. It's also why extra principal payments made early in a loan term are worth significantly more than the same dollars paid later.

💡 The Rule of Thumb for Extra Payments: On a 30-year mortgage, making one extra principal payment per year (equivalent to one extra monthly payment) typically cuts 4–5 years off the loan term and saves tens of thousands in interest. Splitting your monthly payment in half and paying every two weeks (bi-weekly payments) achieves a similar effect by producing 26 half-payments (= 13 full payments) per year instead of 12.

Fixed-Rate vs. Adjustable-Rate Amortization

This calculator handles fixed-rate loans, where the interest rate remains constant for the life of the loan and monthly payments never change. Adjustable-rate mortgages (ARMs) follow the same amortization math during their fixed initial period, but when the rate adjusts, the remaining balance is re-amortized over the remaining term at the new rate — producing a new, higher or lower monthly payment. The 5/1, 7/1, and 10/1 ARM structures mean the rate is fixed for 5, 7, or 10 years respectively, then adjusts annually subject to periodic and lifetime caps. For ARM planning, model the initial period with this calculator, then re-run with the worst-case adjusted rate to understand payment risk.

Negative Amortization: When Balances Grow

Negative amortization occurs when a borrower's payment is less than the interest accruing on the loan, causing the balance to increase rather than decrease. This was a feature of certain "option ARM" mortgage products that allowed minimum payments below the interest-only threshold. In standard fixed-rate loans with required full payments, negative amortization does not occur. It can occur in income-driven student loan repayment when monthly payments are insufficient to cover accruing interest — though the SAVE plan now has an interest subsidy that prevents this for federal borrowers. Understanding negative amortization is important when evaluating low-payment loan products, as the balance growth compounds and can leave borrowers owing more than they borrowed.

Amortization by Loan Type

Loan TypeTypical TermTypical Rate (2025)Notes
30yr Fixed Mortgage30 years6.5–7.5%Most interest paid; lowest monthly cost
15yr Fixed Mortgage15 years6.0–7.0%Roughly double monthly pmt; ~half total interest
Auto Loan (new)48–72 months6.0–9.0%Front-loading less severe due to short term
Auto Loan (used)36–60 months8.0–13.0%Higher rates significantly impact total cost
Personal Loan24–84 months8.0–20.0%No collateral; rates vary widely by credit
Federal Student Loan10–25 years5.5–9.1%Multiple plans; forgiveness options available
HELOC10yr draw + 20yr repayPrime + marginVariable rate; interest-only draw period common

How Extra Payments Transform Your Loan

Extra principal payments are one of the most powerful and underutilized tools available to borrowers. Because they reduce the principal balance immediately, they permanently reduce the interest accruing on that balance for every future payment — a compounding benefit that grows larger the earlier the extra payment is made.

The Math Behind Extra Payment Savings

Consider a $300,000 30-year mortgage at 7%. The standard monthly payment is $1,996 and total interest paid over 30 years is approximately $418,500. Adding $200/month in extra principal payments reduces total interest to roughly $311,000 — a savings of over $107,000 — and cuts the payoff timeline from 30 years to about 23 years and 4 months. That $200/month extra payment, totaling about $56,000 contributed over those 23 years, returns over $107,000 in interest savings: nearly a 2-to-1 return on the extra dollars deployed. No investment account offers a guaranteed 2-to-1 return — this is the effective yield of paying down a 7% debt early.

Lump-Sum Extra Payments vs. Monthly Extra Payments

Both strategies reduce interest, but with different optimal use cases. Monthly extra payments provide consistent principal reduction and compound over time — they're easy to automate and produce predictable outcomes. Lump-sum extra payments (tax refunds, bonuses, inheritances) can have an outsized effect when applied early in the loan because they immediately reduce the base against which all future interest is calculated. A $10,000 lump sum applied at month 12 of a 30-year 7% mortgage saves approximately $45,000 in interest over the life of the loan. The same $10,000 applied at year 20 saves only about $12,000 — demonstrating the time-value of early principal reduction.

Frequently Asked Questions

Why does so much of my early mortgage payment go to interest?
Because interest is calculated as a percentage of your current outstanding balance, and your balance is at its highest right after you borrow. On a $300,000 loan at 7%, the first month's interest charge is $300,000 × 7% ÷ 12 = $1,750. Your $1,996 payment covers that $1,750 in interest, leaving only $246 to reduce the principal. Month two, the balance is $299,754 — slightly lower — so slightly less interest accrues, and slightly more principal gets paid down. This process accelerates slowly at first, then faster as the balance shrinks, until in the final months almost no interest remains. It's not the lender taking advantage of you — it's the unavoidable math of percentage-based interest on a large starting balance.
Does it matter if I apply extra payments to principal vs. future payments?
Absolutely — and this is a critical distinction. When you send extra money to your loan servicer, you must specify that it should be applied to reduce the current principal balance, not to prepay future monthly payments. Many servicers will default to applying extra funds as a prepayment of the next scheduled payment, which advances your next due date but doesn't reduce the outstanding balance or the interest accruing on it. Always include a note or use your servicer's online portal to designate extra payments as "principal reduction." Contact your servicer to confirm how they apply overpayments, and verify on your next statement that the principal balance decreased by more than expected.
What is the difference between monthly and yearly amortization views?
The monthly amortization schedule shows each of the 360 (or however many) individual payments with its exact principal and interest split and remaining balance. It gives complete precision — useful for verifying specific payment amounts or checking your balance at a particular future month. The yearly view aggregates payments into annual totals: total interest paid in year 1, total principal paid in year 1, and balance at end of year 1. It's more digestible for long-term planning and shows clearly how the ratio of interest to principal shifts over the years. Both represent the same underlying data — the yearly view is simply the monthly view rolled up into 12-month buckets.
Should I pay off my mortgage early or invest the extra money?
This is one of the most debated questions in personal finance, and the answer genuinely depends on your specific situation. The mathematical comparison is straightforward: if your after-tax mortgage rate is 5% and your expected after-tax investment return is 7–8%, investing produces a better expected outcome. If your mortgage rate is 7% and you're risk-averse, guaranteed debt reduction may be preferable to volatile market returns. Factors favoring payoff: psychological value of being debt-free, certainty vs. market risk, approaching retirement. Factors favoring investing: higher expected returns over long horizons, employer 401(k) match (which is an immediate 50–100% return), tax-advantaged space in IRAs and 401(k)s. Many financial planners suggest a middle path: max out tax-advantaged investment accounts first, then apply extra dollars to mortgage principal.
Can I change my amortization schedule by refinancing?
Yes. Refinancing replaces your existing loan with a new loan at a new rate, new term, and new amortization schedule. If you have a $250,000 balance remaining on a 30-year loan and refinance into a new 30-year loan, your new schedule begins again at month 1 — meaning you'll be back to paying primarily interest on $250,000 for the early years of the new loan. This is why refinancing into a fresh 30-year term, even at a lower rate, doesn't always save as much as it appears: you restart the interest-heavy front-loading process. Refinancing into a shorter term (e.g., from 30 years to 15 years) while your balance is still high produces the most aggressive interest savings, at the cost of a higher monthly payment.
How do I read an amortization schedule?
Each row in a monthly amortization schedule represents one payment. The columns show: the payment number or date, the scheduled payment amount, the interest portion of that payment (calculated as current balance × monthly rate), the principal portion (scheduled payment minus interest), any extra principal payments, and the remaining balance after the payment is applied. The interest column will be highest in row 1 and approach zero in the final row. The principal column will be lowest in row 1 and highest in the final row. The balance column decreases with every payment and reaches exactly $0 on the final scheduled payment. If you're making extra payments, the balance decreases faster, fewer rows are needed to reach $0, and the total interest column sums to a lower number than the no-extra-payment scenario.

Amortization Tips: Making Your Schedule Work for You

Reading your amortization schedule isn't just a math exercise — it's a financial planning tool. The year-by-year view makes it easy to identify meaningful milestones: the crossover point where principal paid exceeds interest paid in a given year, the month your balance drops below a round-number threshold, or the year when total interest paid finally stops growing faster than total principal paid. For mortgage borrowers, the schedule also reveals when you'll cross the 80% LTV threshold required to cancel private mortgage insurance (PMI) — potentially saving hundreds of dollars per month without refinancing.

Using the Comparison Tool for Real Decisions

The Loan Comparison tab solves one of the most common financial dilemmas: 15-year versus 30-year mortgage. A $300,000 loan at 7% on a 30-year term costs $418,500 in total interest. The same loan on a 15-year term at 6.5% costs roughly $165,000 in total interest — a difference of over $253,000. The tradeoff is a monthly payment that jumps from about $1,996 to about $2,613. Whether that $617/month difference is better deployed as forced mortgage paydown or left flexible for investing, emergency reserves, or other goals is a household-specific decision — but the comparison table makes the exact numbers unmistakable, so the decision is made with full information rather than approximation.