2026-08-02 10 min
Payment Calculator
Calculate the periodic payment required to pay off any installment loan. See the total of payments, total interest, and how your balance declines for any amount, rate, and term.
Calculator
Currency
Payment Frequency
Loan Amount
$
Annual Interest Rate(%)
%
Loan Term(months)
months
Results update live as you type
Results
Normal
Monthly Payment
$856.07
Fixed payment required each period to fully pay off the loan by the end of the term
Total of Payments
$10,272.90
Sum of all 12 payments over the full term
Total Interest
$272.90
Cost of borrowing — total payments minus the loan amount
Number of Payments
12months
Total payment periods required to repay the loan
Estimates assume a fixed interest rate and equal on-time payments throughout the term. Fees, taxes, insurance, and prepayment penalties are not included.
Visualizations
Loan Breakdown
Principal97%
Interest3%
Balance Over Time
Formula
The periodic payment (PMT) needed to amortize a principal P over n periods at a periodic interest rate r. This is the standard loan payment formula used for mortgages, auto loans, personal loans, and student loans.
PMT = P × r / (1 − (1 + r)^−n)
Alternative Form
P = PMT × (1 − (1 + r)^−n) / r
Variables
| Symbol | Name | Unit | Description |
|---|---|---|---|
| PMT | Payment per period | currency | The equal periodic payment covering interest and principal |
| P | Loan principal | currency | The amount borrowed |
| r | Periodic interest rate | decimal per period | Annual rate divided by the number of periods per year |
| n | Number of periods | periods | Total number of payments over the loan term |
Explanation
Each payment is split into an interest portion (balance × r) and a principal portion (PMT − interest). Because the balance declines with every payment, the interest portion shrinks over time and the principal portion grows. The formula solves for the constant payment that makes the present value of all payments equal to the loan amount.
Derivation
The present value of n equal payments is PV = PMT × (1 − (1+r)^−n) / r. Setting PV equal to the principal P and solving for PMT gives PMT = P × r / (1 − (1+r)^−n). The balance after k payments is B_k = P(1+r)^k − PMT × ((1+r)^k − 1)/r, which reaches zero exactly at k = n.
Step-by-Step Calculation
Follow each step to understand how the result is calculated from your inputs.
Step 1
Identify the loan principal, annual rate, and term.
P, r_annual, n
Loan Amount:$10,000.00
Annual Rate:5%
Term:12 months
Intermediate: Principal = the amount borrowed; the annual rate is the nominal yearly rate; the term is the number of months to repay.
Result: Monthly payment schedule with 12 payments
Step 2
Convert the annual rate to the periodic rate.
r = r_annual / periods per year
Annual Rate:5%
Periods per Year:12
Intermediate: r = 5% / 12 = 0.4167% per period
Result: Periodic rate r = 0.4167%
Step 3
Count the total number of payments.
n = months × periods per year / 12
Term:12 months
Periods per Year:12
Intermediate: n = 12 payment periods
Result: n = 12 payments
Step 4
Apply the amortization payment formula.
PMT = P × r / (1 − (1 + r)^−n)
P:$10,000.00
r:0.4167%
n:12
Intermediate: PMT = $10,000.00 × 0.004167 / (1 − (1.41.6)^−12)
Result: PMT = $856.07
Step 5
Multiply the payment by the number of payments for the total.
Total = PMT × n
PMT:$856.07
n:12
Intermediate: Total = $856.07 × 12
Result: Total payments = $10,272.90
Step 6
Subtract the principal to isolate the total interest cost.
Interest = Total − P
Total:$10,272.90
Principal:$10,000.00
Intermediate: Interest = $10,272.90 − $10,000.00
Result: Total interest = $272.90
Final Answer
$856.07
Worked Examples
See how the calculator works with different scenarios.
Scenario
Borrow $20,000 for a new car over 5 years (60 months) at a 6% annual rate, paid monthly.
Inputs
Loan Amount:$20,000
Annual Rate:6%
Term:60 months
Calculation
r = 6% / 12 = 0.5% per month PMT = 20000 × 0.005 × (1.005)^60 / ((1.005)^60 − 1) (1.005)^60 = 1.34885 PMT = 100 × 1.34885 / 0.34885 = $386.66
Result
$386.66 per month; $23,199.60 total; $3,199.60 in interest
Interpretation
About 14% of the total cost is interest. Shortening the term to 48 months raises the payment to about $470 but cuts total interest to roughly $2,550 — a savings of about $650.
Understanding Your Result
Your Result: Monthly Payment: $856.07
Typical range: Total interest is typically 5-20% of the principal for short-term loans (1-3 years), 20-60% for medium terms (4-7 years), and 60-120% of the principal for 30-year mortgages. A total interest below 30% of principal is generally favorable.
What This Means
The payment is the fixed amount you owe each period to fully repay the loan by the end of the term. Early payments are mostly interest because the balance is largest then; later payments are mostly principal. The dashboard also shows the total cost and the total interest so you can see the true price of borrowing.
Why It Matters
The payment determines whether a loan fits your monthly budget, and the total interest shows what the loan really costs. A difference of 1% in rate or a few years in term can change your total cost by thousands of dollars, so comparing scenarios before signing is the single most valuable thing a borrower can do.
Professional Interpretation
Lenders price loans with the same PMT formula but include fees in the APR, which makes the APR the correct number for comparing offers. The payment is the nominal obligation; the APR is the economic cost. When evaluating affordability, lenders underwrite to the payment via debt-to-income ratio, not the interest amount.
Interest vs principal split
In payment k, interest = balance × r and principal = PMT − interest. With a $10,000 loan at 5% for 12 months, the first payment is $856.07 with $41.67 interest; the final payment is $852.50 with only $3.50 interest.
Payment frequency effects
Paying biweekly or weekly reduces the interest accrual window slightly, lowering total interest for the same nominal rate. The bigger biweekly benefit comes from splitting your monthly payment in half and paying 26 times — which makes one extra payment per year.
Recommendations
- •Compare offers on APR and total interest, not just the monthly payment
- •Keep the term as short as your budget allows — longer terms are expensive insurance for cash flow
- •Aim for a total interest cost below 30% of the principal where possible
- •Model extra payments with the Amortization Calculator before committing to a long term
- •Verify there is no prepayment penalty before choosing a longer-term loan you plan to pay early
- •Remember escrow items — taxes, insurance, and PMI — when assessing true affordability
Educational Content
Introduction
A loan payment is the periodic amount a borrower pays to a lender under an installment loan. Each payment has two parts: interest, which is the cost of borrowing the outstanding balance, and principal, which reduces the debt. The payment is set so that the loan is fully repaid by the end of the agreed term.
Concept Explanation
The payment is the solution to an amortization problem: the present value of a stream of equal future payments must equal the amount borrowed. Because interest accrues on the remaining balance, early payments are interest-heavy and later payments are principal-heavy. This produces the classic declining-balance curve visible in the visualization above.
Applications
▸Comparing loan offers from different lenders
▸Planning a car purchase and choosing between 48, 60, and 72-month terms
▸Estimating mortgage principal-and-interest payments before house hunting
▸Deciding between monthly and biweekly payment schedules
▸Evaluating refinancing opportunities by comparing new payments and totals
▸Budgeting for student loan repayment after graduation
▸Checking whether a 0% promotional financing deal actually saves money
▸Understanding how a rate change of 1% affects your cost
Benefits
- •Instant comparison of rates, terms, and amounts
- •Reveals the true total cost of borrowing, not just the payment
- •Works for any installment loan type
- •Supports multiple payment frequencies
- •Helps avoid overextending on long, low-payment terms
Limitations
- •Assumes a fixed rate for the entire term
- •Ignores fees, taxes, insurance, and PMI
- •Assumes every payment arrives on time and in full
- •Does not model extra payments — use the Amortization Calculator for that
Best Practices
- •Compare APR rather than the interest rate
- •Always model the total interest, not just the payment
- •Use the shortest term your budget can absorb
- •Re-run the numbers if your rate changes by as little as 0.5%
- •Verify prepayment penalties before planning extra payments
Common Misconceptions
Myth: A lower monthly payment always means a better deal.
Truth: A lower payment usually means a longer term, which means far more total interest. A $20,000 loan at 6% costs $3,200 in interest over 60 months but $5,600 over 120 months.
Myth: The interest rate and APR are the same.
Truth: APR includes lender fees and other costs, so it is always equal to or higher than the nominal rate. APR is the correct metric for comparing offers.
Myth: Paying biweekly automatically halves your interest.
Truth: Biweekly payments reduce interest only modestly by themselves. The large savings come from paying 26 half-payments, which is the equivalent of 13 full payments per year — one extra payment annually.
Myth: The payment formula only works for mortgages.
Truth: The same PMT formula prices virtually all fixed-rate installment loans, including auto, personal, student, and equipment loans.
Practical Tips
- •Round your payment up to the nearest $10 and apply the difference as an extra principal payment
- •Compare at least three lenders — a 1% rate difference on a $20,000, 5-year loan is about $513
- •Use the biweekly option only if your budget is stable; the equivalent of 13 monthly payments a year requires discipline
- •Before refinancing, compute the break-even point: divide closing costs by the monthly savings
- •Check your loan documents for prepayment penalties before making lump-sum payments
- •If your rate is variable, stress-test your payment at the maximum possible rate
- •Keep the term decision separate from the rate decision — shop both simultaneously
Common Mistakes
Comparing monthly payments instead of APRs
Lenders can lower the payment by stretching the term while charging a higher rate. Always compare APR and total interest on the same term.
Ignoring fees that are not in the rate
Origination fees, points, and closing costs change the real cost. Ask for the APR, which includes them, and add points paid to your comparison.
Choosing a 72-84 month term to afford a car
A longer term locks in more depreciation risk and interest. Save a larger down payment or choose a less expensive car instead.
Assuming the advertised payment includes escrow
Mortgage payments often exclude taxes and insurance. Add escrow to the payment when assessing affordability against the 28/36 rule.
Not re-checking the payment when the rate moves
Between quote and closing, rates can change. Re-run the calculation with the locked rate and confirm the final payment matches the estimate.
Assumptions
This calculator makes the following assumptions to provide estimates:
Fixed Rate: The annual rate is assumed constant for the entire term. Variable-rate loans will have different payments after each adjustment.
Equal Payments: Every payment is identical and made exactly on schedule. Late or missed payments change the interest actually accrued.
Fully Amortizing: The loan is assumed to amortize completely by the end of the term, with no balloon payment and no negative amortization.
No Fees in Rate: Fees such as origination charges are not part of the interest rate. The APR, not the rate, reflects them.
Periodic Rate Conversion: The annual rate is divided evenly by the number of periods per year. Some lenders compute daily interest with a 360-day year, which slightly changes the result.
Limitations
Be aware of these limitations when using this calculator:
No Escrow Items: Property taxes, homeowners insurance, and PMI are not included. A full mortgage payment can be 20-30% higher than the principal-and-interest payment.
No Extra Payments: This calculator assumes the scheduled payment only. Modeling extra payments requires the Amortization Calculator or Debt Payoff Calculator.
Fixed-Rate Only: Adjustable-rate loans, step-up loans, and interest-only structures are not supported here.
Rounding Differences: Lenders may round payments or use a 360/365-day count convention, causing small differences from this estimate.
Frequently Asked Questions
Answers to common questions about this calculator.
What is a loan payment calculator?
A loan payment calculator helps you determine the periodic payment required to fully amortize a loan given the loan amount, interest rate, and term. It uses the standard amortization formula to compute equal payments that cover both principal and interest over the life of the loan.
How is the monthly payment calculated?
The monthly payment is calculated using the formula: M = P × [r(1+r)^n] / [(1+r)^n - 1], where P is the principal, r is the monthly interest rate (annual rate divided by 12), and n is the number of monthly payments. This ensures each payment covers the interest due and gradually reduces the principal.
What is the difference between simple interest and amortized loans?
Simple interest is calculated only on the principal balance. Amortized loans (like most mortgages and auto loans) have payments structured so that each payment covers the interest accrued since the last payment plus a portion of the principal. Early payments are mostly interest; later payments are mostly principal.
What is the total interest paid on a loan?
Total interest is the sum of all interest payments over the loan term. It is calculated as (payment × number of payments) - loan principal. The total interest depends on the loan amount, interest rate, and term length. Longer terms mean lower payments but more total interest.
How does the loan term affect my payments?
A longer loan term results in lower payments but more total interest paid over the life of the loan. A shorter term means higher payments but significantly less total interest. For example, a 36-month auto loan will have higher payments but much less total interest than a 72-month loan.
What is an interest rate vs APR?
The interest rate is the cost of borrowing the principal, expressed as an annual percentage. APR (Annual Percentage Rate) includes the interest rate plus any fees or additional costs associated with the loan, giving a more complete picture of the total borrowing cost. APR is typically higher than the interest rate.
How does a down payment affect my loan?
A larger down payment reduces the principal amount you need to borrow, which lowers your payment and total interest. It may also help you qualify for a lower interest rate and avoid private mortgage insurance (PMI) on home loans. To model a down payment, subtract it from the purchase price and enter the result as the loan amount.
What types of loans use this payment calculation?
This amortization formula applies to most installment loans including mortgages, auto loans, personal loans, student loans, and equipment financing. It does not apply to credit cards (revolving debt) or interest-only loans where payments do not reduce the principal initially.
What is the difference between secured and unsecured loans?
Secured loans are backed by collateral (house, car, etc.) and typically have lower interest rates because the lender can seize the asset if you default. Unsecured loans (personal loans, credit cards) have no collateral and carry higher interest rates due to increased lender risk.
How does my credit score affect my loan payment?
Your credit score directly impacts the interest rate you qualify for. Higher credit scores (740+) get the lowest rates, while lower scores (below 620) face significantly higher rates or may not qualify at all. A difference of just 1-2% in interest rate can mean thousands of dollars over the loan term.
What is the loan amortization schedule?
An amortization schedule shows each payment over the life of the loan, broken down into principal and interest portions, and the remaining balance after each payment. Use our Amortization Calculator to generate a complete monthly or annual schedule for any loan.
Can I make extra payments on my loan?
Most installment loans allow extra payments without penalty, but some may have prepayment penalties. Extra payments reduce the principal faster, saving interest and shortening the loan term. Always check your loan agreement before making extra payments.
What is the debt-to-income ratio and why does it matter?
Debt-to-income (DTI) ratio compares your total monthly debt payments to your gross monthly income. Lenders use this to assess your ability to repay. A DTI below 36% is generally considered good, while above 43% may make it difficult to qualify for certain loans.
How do I compare different loan offers?
Compare APR (not just interest rate), loan term, payment, total interest, and any fees. A lower payment on a longer term may cost more overall. Use this calculator to compare the true cost of different loan offers by adjusting the term and rate.
What is a fixed vs variable interest rate?
A fixed rate remains the same for the entire loan term, providing predictable payments. A variable rate can change based on market conditions, starting lower but carrying the risk of future increases. Fixed rates are more common for mortgages; variable rates are sometimes used for personal loans.
What is the difference between a loan and a line of credit?
A loan provides a lump sum upfront that you repay with interest over a fixed term. A line of credit gives you access to funds up to a limit that you can draw from, repay, and draw again. Lines of credit (like credit cards and HELOCs) typically have variable rates and flexible payments.
How do loan origination fees affect the cost?
Origination fees are upfront charges by the lender, typically 1-6% of the loan amount, for processing the loan. These fees increase the effective cost of borrowing. When comparing loans, consider both the interest rate and the origination fee to determine the true APR.
What is a balloon payment?
A balloon payment is a large, lump-sum payment due at the end of some loans. Balloon loans have lower payments during the term because they are not fully amortized. They are common in some mortgages (interest-only ARMs) and commercial loans.
How does loan refinancing work?
Refinancing replaces your existing loan with a new one, ideally at a lower interest rate or better terms. This can reduce payments, lower total interest, or change the loan term. Consider closing costs and the break-even point when deciding whether to refinance.
What is the difference between a co-signer and a co-borrower?
A co-signer guarantees repayment but is not on the title/ownership and has no rights to the loan proceeds. A co-borrower shares ownership and responsibility for the loan. Both are equally responsible for repayment, but co-borrowers have legal rights to the property or funds.
How do I calculate the true cost of a loan?
The true cost includes all interest paid plus any fees (origination, processing, late payment, prepayment). The APR gives a good approximation. To get the exact total cost: multiply the payment by the number of payments and add any upfront fees not included in the loan amount.
What is a good interest rate for a personal loan?
Personal loan rates in 2026 typically range from 6% to 36% depending on credit score, income, and loan amount. Excellent credit (740+) may qualify for 6-10%, good credit (680-739) for 10-18%, and fair credit (620-679) for 18-30%. Rates below 10% are generally considered good.
How does loan consolidation work?
Consolidation combines multiple loans into a single loan, ideally at a lower interest rate. This simplifies payments and can reduce monthly costs. However, extending the term may increase total interest paid. It is a common strategy for student loans and credit card debt.
What happens if I miss a loan payment?
Missing a payment typically triggers a late fee (usually $25-40 or a percentage of the payment). After 30 days, the late payment is reported to credit bureaus, damaging your credit score. After 90+ days, the loan may enter default, leading to collection efforts and potential legal action.
What is the difference between pre-qualified and pre-approved?
Pre-qualification is an informal estimate based on self-reported information, giving you an idea of what you might qualify for. Pre-approval involves a credit check and document review, resulting in a conditional commitment. Pre-approval carries more weight with sellers and is more accurate.
How do I use this calculator for an auto loan?
Enter the vehicle price (minus down payment and trade-in) as the loan amount, the annual interest rate, and the number of months (48, 60, 72). The calculator shows your estimated payment. Remember that longer terms (72-84 months) mean more total interest.
How do I use this calculator for a mortgage?
Enter the mortgage amount (home price minus down payment), the annual interest rate, and the term in months (360 for 30-year, 180 for 15-year). Note that this calculator does not include property taxes, insurance, or PMI, which are typically escrowed in real mortgage payments.
What is the 28/36 rule for mortgage affordability?
The 28/36 rule suggests that your mortgage payment should not exceed 28% of your gross monthly income, and your total debt payments (including the mortgage) should not exceed 36%. Use this calculator to estimate if a potential mortgage payment fits within 28% of your income.
How does inflation affect loan payments?
For fixed-rate loans, inflation actually benefits borrowers because you repay with money that is worth less over time. For variable-rate loans, inflation can increase your rate and payment. Lenders factor expected inflation into the interest rates they charge on new loans.
What is loan amortization?
Loan amortization is the process of gradually paying off a loan through scheduled, equal payments. Each payment covers the interest due since the last payment, with the remainder applied to the principal. As the principal decreases, more of each payment goes toward principal reduction.
Can I pay off my loan early?
Most loans allow early payoff, but some charge prepayment penalties (typically 1-2% of the remaining balance). Paying off early stops future interest from accruing, saving money. Check your loan agreement for prepayment terms before making extra payments or paying the loan off entirely.
What is the difference between a loan term and amortization period?
The loan term is the length of time the loan agreement is in effect. The amortization period is the time it would take to fully pay off the loan based on the payment schedule. For most consumer loans, the term and amortization period are the same, but some loans (like balloon mortgages) differ.
How do I calculate the monthly payment manually?
Use the formula: M = P × [r(1+r)^n] / [(1+r)^n - 1], where P = principal, r = monthly interest rate (annual rate / 12), and n = number of payments. For example, a $10,000 loan at 6% annual (0.5% monthly) for 36 months: M = 10000 × [0.005(1.005)^36] / [(1.005)^36 - 1] = $304.22.
What factors determine the interest rate I qualify for?
Key factors include your credit score (most important), income and employment history, debt-to-income ratio, loan amount and term, loan type (secured vs unsecured), and current market conditions. Improving your credit score and reducing DTI before applying can help secure a better rate.
How do I use this calculator to plan a loan payoff strategy?
Enter your loan details to see the standard payment. To see the impact of extra payments on your term and total interest, use the Amortization Calculator or Debt Payoff Calculator, which let you model extra monthly or one-time payments.
What is the difference between monthly, biweekly, and weekly payments?
The calculator computes the payment that fully amortizes the loan at the chosen frequency. Biweekly and weekly schedules use the annual rate divided by 26 or 52 periods. If you instead pay half your monthly payment every two weeks, you effectively make one extra payment per year and pay the loan off faster.
Why is the payment lower when I pay more often?
More frequent payments reduce the interest accrual window between payments. Because interest is charged on a smaller balance more often, each payment retires slightly more principal. The difference is small for a given annual total, but the total interest drops as frequency rises.
What happens if my payment is less than the interest due?
If a payment is smaller than the accrued interest, the shortfall is added to the balance. This is negative amortization: the balance grows instead of shrinking. This can occur with some student loan income-driven plans and payment-option mortgages.
How do interest-only payments differ from amortizing payments?
An interest-only payment covers just the interest that accrued since the last payment, so the balance never declines. An amortizing payment adds a principal portion that reduces the balance. Interest-only loans eventually require higher payments or a balloon payment to repay the principal.
Should I use this calculator or a mortgage payment calculator?
A mortgage payment calculator adds property tax, insurance, PMI, and HOA fees to the principal-and-interest payment this calculator provides. If you own a home, use the Mortgage Calculator for a full monthly housing cost; use this calculator for the pure loan payment.
How do I find the payment if I know the total I can afford?
Work backward: divide the affordable payment by the principal to see the payment rate, or use the loan amount as the variable. Alternatively, hold the payment fixed and solve for the term. For a precise result, use the interest rate calculator tools to solve for the missing variable.
Does this calculator account for taxes and fees?
No. It computes only principal and interest. Property taxes, insurance, PMI, origination fees, and late fees are separate. To compare total cost including fees, add upfront fees to the borrowed amount or use the APR quoted by the lender.
How does a 0% promotional rate affect my payment?
At 0% interest the payment is simply principal divided by the number of payments — no interest cost at all. Be aware that promotional 0% offers may convert to a high deferred interest rate on the original balance if the balance is not paid off before the promotion ends.
What is a secured vs unsecured payment difference?
The payment formula is identical for both. The difference is the rate you qualify for: secured loans (mortgages, auto loans) carry lower rates because collateral reduces lender risk, so the payment per dollar borrowed is lower than for unsecured personal loans.
Can this calculator help me compare a shorter vs longer term?
Yes. Enter the same amount and rate with two different terms. The shorter term shows a higher payment but less total interest; the longer term shows a lower payment but more total interest. The difference in total interest is often tens of thousands of dollars on a mortgage.
What is the rule of thumb for how much car payment I can afford?
A common guideline is the 20/4/10 rule: put down at least 20%, finance for no more than 4 years, and keep total vehicle costs (payment, insurance, fuel, maintenance) under 10% of gross income. Lenders also cap the payment via your debt-to-income ratio.
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Related Guides
Deepen your understanding with these educational resources.
Glossary
Technical terms used in mortgage calculations explained in plain language.
- Amortization
- The gradual repayment of a loan through equal payments that cover both interest and principal.
- APR (Annual Percentage Rate)
- The yearly cost of a loan including interest and lender fees, expressed as a percentage. Used to compare loan offers.
- Balloon Payment
- A large final payment on a loan that was not fully amortized during its term.
- Debt-to-Income Ratio (DTI)
- Total monthly debt payments divided by gross monthly income; lenders use it to underwrite loans.
- Interest
- The cost of borrowing, calculated on the outstanding balance each period.
- Interest-Only Payment
- A payment that covers accrued interest but does not reduce the principal balance.
- Negative Amortization
- When a payment is smaller than the interest due, causing the balance to grow.
- Origination Fee
- An upfront charge by the lender for processing a loan, usually 1-6% of the amount.
- PMI (Private Mortgage Insurance)
- Insurance protecting the lender on conventional mortgages with less than 20% down.
- Prepayment Penalty
- A fee charged for paying off a loan early; check your agreement before making extra payments.
- Principal
- The amount of money borrowed, before interest.
- Term
- The length of time over which the loan is repaid.
Authoritative References
Trusted sources and standards referenced by this calculator.
CFPB — What to Know About Loan Payments Federal Reserve — Consumer Loans and Payments IRS — Interest on Loans and Mortgages FINRA — Borrowing and Loans SEC — Borrowing Basics for Investors Federal Student Aid — Loan Repayment Investopedia — Loan Payment Formula
Applicable Standards
Truth in Lending Act (TILA)Regulation ZReal Estate Settlement Procedures Act (RESPA)Equal Credit Opportunity Act (ECOA)
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Last Updated:
2026-08-02
Version:
2.0.0
References:
License:
Free to use for educational and professional purposes.