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Finance

Amortization Schedule

Generate a complete month-by-month breakdown of loan payments with principal and interest.

DM
Dr. Michael Chen, CFA, CFP
Senior Financial Analyst
5 min read
Updated

Inputs

Total principal borrowed

Yearly interest rate as a percentage

Total length of the loan in months

Results

Monthly Payment
Fixed monthly payment amount
Total Interest Paid
Total Amount Paid
Payment Schedule
Formula
M = P * [r(1+r)^n] / [(1+r)^n - 1], where r = monthly rate
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An amortization schedule is a detailed table showing each loan payment over time, breaking down how much goes toward principal versus interest each month. Whether you're financing a home, car, or personal loan, understanding your amortization schedule helps you track equity buildup and interest costs. This calculator generates a complete payment schedule showing the exact amount due each month, remaining balance, and cumulative interest paid. By visualizing how your payments are allocated, you can make informed decisions about prepayment strategies or refinancing opportunities.

How it works

The amortization calculator uses the standard loan payment formula to determine your fixed monthly payment amount. This payment remains constant throughout the loan term, but the composition changes each month. Initially, most of your payment covers interest since the balance is highest. As months pass, more of each payment goes toward principal as the balance decreases, and interest charges decline accordingly. The formula calculates the monthly interest rate by dividing the annual rate by 12, then applies the amortization equation to find the payment that will pay off the entire loan in the specified term. The schedule is built month-by-month, with each row showing the payment number, payment amount, principal paid, interest paid, and remaining balance.

Formula
M = P * [r(1+r)^n] / [(1+r)^n - 1], where r = monthly rate
M is monthly payment, P is principal, r is monthly interest rate, n is number of months. Each payment splits between principal and interest based on remaining balance.
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Worked example

Consider a $200,000 mortgage at 5% annual interest over 20 years (240 months). The calculator determines your monthly payment is $1,325.28. In month one, $833.33 goes to interest (5% annual rate on $200,000) and $491.95 to principal, leaving $199,508.05 owed. By month 120, the balance has dropped to about $100,000, so interest charges are lower and principal payments higher. In the final month, you pay mostly principal with minimal interest. Over the full term, you'll pay $118,066.49 in total interest, making your total cost $318,066.49.

How Monthly Payments Are Calculated

The monthly payment formula ensures that regular equal payments will completely pay off the loan by the end of the term. The formula accounts for the interest rate compounding monthly and the total number of payments remaining. To calculate the monthly payment, divide the annual interest rate by 12 to get the monthly rate, then apply the amortization formula. The payment amount is determined such that the present value of all future payments equals the original loan amount. This is why mortgages, auto loans, and personal loans all use fixed monthly payments rather than declining amounts, even though the interest portion decreases over time.

Principal vs Interest Breakdown

Each payment is divided between principal and interest. The interest portion is calculated by multiplying the remaining balance by the monthly interest rate. The principal portion is whatever remains after subtracting interest from the total payment. Early in the loan, interest represents a large percentage of each payment because the balance is highest. As months progress and you pay down principal, the monthly interest charges decrease proportionally. This is why borrowers benefit from making extra principal payments early in the loan term, as these payments directly reduce future interest charges significantly more than extra payments made near the end.

Understanding Your Amortization Schedule

The amortization schedule provided shows each payment period with detailed information. The payment number indicates which month it is, the payment amount shows your fixed monthly obligation, principal paid shows how much reduces the loan balance, interest paid shows how much goes to the lender, and remaining balance shows what you still owe. The schedule reveals important patterns: interest paid decreases each month while principal paid increases. The sum of all principal payments equals your original loan amount, and the sum of all interest payments equals total interest paid. This table is useful for tax purposes (mortgage interest may be deductible), financial planning, and understanding your equity buildup.

Prepayment and Loan Payoff Strategies

Understanding your amortization schedule enables smarter payoff strategies. Making extra principal payments early significantly reduces total interest paid and shortens the loan term. For example, adding just $100 monthly to a 30-year mortgage could save tens of thousands in interest and reduce the term by years. Some borrowers use biweekly payments instead of monthly payments, effectively making 13 payments per year rather than 12, which accelerates payoff. The amortization schedule shows exactly how much you could save with different payment strategies. Always verify that extra payments are applied to principal, not held as prepaid interest, to maximize their benefit.

When to Refinance Your Loan

Your amortization schedule is a key tool in refinancing decisions. By comparing your current schedule with a new loan scenario, you can calculate potential savings. Refinancing makes sense when the interest rate reduction will save more than the refinancing costs over your remaining loan term. If you're halfway through a 30-year mortgage, you might refinance into a new 15-year mortgage at a lower rate, or extend back to 30 years to reduce monthly payments. The amortization schedule for both scenarios lets you compare total interest paid and monthly obligations. Refinancing early in the loan term generally provides more benefit since most of your original payments were going to interest.

Frequently asked questions

What is amortization?
Amortization is the process of paying off a loan through regular monthly payments that cover both principal and interest. An amortization schedule breaks down each payment into these two components, showing how the loan balance decreases over time until it reaches zero at the end of the loan term.
Why does interest decrease over time?
Interest is calculated on the remaining balance. As you make payments, the balance decreases, so the monthly interest charge (balance × monthly rate) also decreases. The same fixed payment now covers less interest and more principal, accelerating your payoff.
Can I pay off my loan early?
Yes, most loans allow extra principal payments without penalties. Paying extra principal reduces your balance faster, decreases total interest paid, and shortens your loan term. Always confirm with your lender that extra payments apply to principal, not future interest.
How is the monthly payment calculated?
The monthly payment is calculated using the amortization formula: M = P × [r(1+r)^n] / [(1+r)^n - 1], where P is principal, r is monthly interest rate, and n is number of months. This ensures equal payments cover both interest and principal over the loan term.
What's the difference between amortization period and loan term?
The amortization period is the time it takes to pay off the loan with the scheduled payments. The loan term is the period before the loan matures or requires renewal. For mortgages, these are often different; you might have a 5-year term but 25-year amortization.
Why do I pay so much interest on mortgages?
Mortgages are long-term loans (15-30 years), so total interest accumulates significantly. Early payments are mostly interest because the balance is highest. A $300,000 mortgage at 6.5% costs over $380,000 in interest alone. Shorter terms or larger down payments reduce total interest paid.
How do extra payments affect my schedule?
Extra principal payments reduce your balance faster, lowering future interest charges and shortening your loan term. These payments don't change your regular payment amount but accelerate payoff. The actual amortization schedule adjusts as extra payments are applied, which your lender can recalculate.