finance calculator

Loan Amortization Calculator

Calculate monthly payment, total interest, and total paid for any amortizing loan from mortgages to personal loans.

Results

Monthly payment
$1,053 USD
Total paid
$252,750 USD
Total interest
$102,750 USD

Overview

Use this loan amortization calculator for mortgages, auto loans, student loans, or any fixed‑rate installment loan. It shows your monthly payment, how much you will pay in total, and how much of that total is interest so you can see the real cost of borrowing over time.

How to use this calculator

  1. Enter the loan amount (principal), the annual percentage rate (APR), and the term of the loan in years.
  2. We convert APR to a monthly rate and the term to total payments, then apply the standard amortization formula to compute your fixed monthly payment.
  3. From the payment and term, we calculate total paid and total interest so you can compare scenarios side by side.
  4. Adjust the term or APR to see how shorter terms or different rates change monthly payment and lifetime interest cost.
  5. Use the results to decide whether a loan fits your budget or whether you should consider a different term, rate, or loan type.

Inputs explained

Loan amount
The principal balance you are borrowing or refinancing, before interest. This usually matches the amount on your loan offer or payoff statement and does not include future interest.
Interest rate (APR)
The annual percentage rate on the loan. APR may include certain financed fees in addition to the nominal interest rate, making it a better apples‑to‑apples comparison between offers.
Term length
How long you will take to repay the loan, expressed in years. Common mortgage terms are 15, 20, and 30 years; car and personal loans often use 3–7 years.

Outputs explained

Monthly payment
The fixed principal‑and‑interest payment you would owe each month for the full term, assuming no extra payments or rate changes. This does not include taxes, insurance, or other add‑ons your lender may collect.
Total paid
The sum of all principal and interest payments over the full schedule (monthly payment × number of payments). Comparing this to the loan amount shows how much borrowing costs in absolute dollars.
Total interest
The amount you pay in interest on top of the original principal over the life of the loan. Shorter terms or lower APRs usually reduce this number substantially.

How it works

Amortization means spreading the repayment of a loan over a fixed number of equal payments. Each payment includes some interest and some principal, and over time the interest portion shrinks while the principal portion grows.

We start by converting the APR to a monthly rate (r = APR ÷ 12) and the term in years to a total number of payments (n = years × 12).

Using the standard amortization formula, we solve for the fixed monthly payment that will bring the balance to zero after n payments.

Total paid is simply monthly payment × number of payments. Total interest is the difference between total paid and the original principal, which tells you how much the loan truly costs beyond what you borrowed.

This summary view gives you the key numbers most borrowers care about; for full month‑by‑month tables and prepayment modeling, you can pair this with the dedicated payoff and amortization‑schedule tools elsewhere on the site.

Formula

We use the standard fixed‑rate amortization formula. Let:\n\n• P = loan amount (principal)\n• r = monthly interest rate = APR ÷ 12\n• n = total number of payments = years × 12\n\nMonthly payment (PMT) = P × [r(1 + r)ⁿ] ÷ [(1 + r)ⁿ − 1]\n\nTotal paid = PMT × n\nTotal interest = Total paid − P

When to use it

  • Comparing 15‑, 20‑, and 30‑year mortgage options to see how term length changes monthly payment and total interest.
  • Estimating the cost of refinancing a student loan or auto loan at a different rate and term before you apply.
  • Budgeting for a personal loan by checking whether the monthly payment fits comfortably within your income and expenses.
  • Understanding how much interest you save by choosing a shorter term or by waiting for a lower APR before locking in a loan.
  • Creating quick what‑if scenarios to discuss with a lender, financial planner, or partner when weighing different borrowing options.

Tips & cautions

  • Shorter terms raise the monthly payment but usually slash total interest; try several terms to see the trade‑off between cash flow and long‑run cost.
  • If you plan to make extra principal payments, your real‑world total interest will be lower than the estimate shown here; see the payoff‑oriented calculators on the site for more detailed modeling.
  • Use APR rather than headline interest rate when comparing offers from different lenders, since APR better reflects financed fees and points.
  • Remember that mortgages and some auto loans may also involve taxes, insurance, HOA dues, or maintenance reserves that are not included in this principal‑and‑interest estimate.
  • Re‑run the calculation when rates move or when you get an updated loan estimate so you always work with fresh numbers before you commit.
  • Assumes a fixed interest rate and fully amortizing schedule with equal monthly payments; it does not handle variable‑rate loans, interest‑only periods, or balloon payments.
  • Does not model late fees, prepayment penalties, or changes to your payment schedule over time.
  • Taxes, insurance, HOA dues, mortgage insurance, and other non‑interest costs are not included; add them separately when evaluating affordability.
  • Does not generate a detailed month‑by‑month amortization table or account for irregular extra payments—use the dedicated amortization‑schedule and payoff tools for those cases.
  • All results are estimates only; your actual lender’s schedule and rounding rules may differ slightly from the values shown here.

Worked examples

Example 1: $150,000 at 5.75% for 20 years

  • Loan amount P = $150,000; APR = 5.75%; term = 20 years.
  • Monthly rate r = 0.0575 ÷ 12 ≈ 0.0047917; total payments n = 20 × 12 = 240.
  • Monthly payment PMT ≈ $1,062.74 using the amortization formula.
  • Total paid ≈ $1,062.74 × 240 ≈ $255,058.
  • Total interest ≈ $255,058 − $150,000 ≈ $105,058, showing how much you pay to borrow over 20 years.

Example 2: Shortening the term to 15 years

  • Keep P = $150,000 and APR = 5.75%, but reduce the term to 15 years.
  • Now n = 15 × 12 = 180 payments; r stays the same.
  • Monthly payment increases to roughly $1,246.11.
  • Total paid ≈ $1,246.11 × 180 ≈ $224,300; total interest ≈ $74,300.
  • Interpretation: the higher monthly payment cuts roughly $30,000 in interest compared to the 20‑year option.

Example 3: Personal loan vs. credit card balance

  • Suppose you owe $12,000 on a credit card at 21% APR and are considering a 5‑year personal loan at 11% APR instead.
  • Entering P = $12,000, APR = 21%, term = 5 years yields a much higher monthly payment and interest cost than the personal‑loan option.
  • Now enter P = $12,000, APR = 11%, term = 5 years to approximate a consolidation loan.
  • Compare both monthly payments and total interest amounts to see how much you could save by refinancing the balance into a lower‑rate, fixed‑term loan.
  • This example illustrates how amortization can turn a revolving balance into a predictable payoff plan with a known end date.

Deep dive

This loan amortization calculator helps you understand the real cost of any fixed‑rate debt by breaking it into three core numbers: monthly payment, total paid, and total interest. Enter the loan amount, APR, and term to instantly see what a mortgage, auto loan, student loan, or personal loan would look like over time.

Because it follows the same amortization math that lenders use, it’s a quick way to sanity‑check loan offers and experiment with different terms before you apply. You can test shorter or longer horizons, higher or lower APRs, and see immediately how those changes affect both your monthly cash flow and lifetime interest expense.

Use the outputs as a starting point for deeper planning with more specialized tools on the site—for example, calculators that handle extra payments, biweekly schedules, or prepayment versus investing trade‑offs—so you can design a payoff plan that fits your goals.

FAQs

Does this calculator create a full amortization schedule?
This tool focuses on the high‑level summary—monthly payment, total paid, and total interest. For a month‑by‑month breakdown of principal and interest, use the dedicated amortization‑schedule calculators on the site, which generate full tables.
Can I model extra principal payments with this calculator?
Not directly. The results assume you make only the scheduled monthly payment for the entire term. To see the impact of extra payments, use the payoff and prepayment calculators that are designed for those scenarios.
How is this different from the mortgage payment calculator?
The underlying amortization math is the same, but the mortgage payment calculator focuses on home‑loan‑specific details and may include fields for taxes, insurance, and mortgage insurance. This loan amortization calculator is intentionally generic so you can use it for many types of installment debt.
Can I approximate biweekly payments with this tool?
Yes, as a rough estimate. Biweekly schedules effectively add about one extra monthly payment per year. You can approximate this by increasing the monthly payment in the calculator to reflect that extra amount, then comparing total interest to your standard monthly schedule.
Why don’t my lender’s numbers match exactly?
Lenders may use slightly different rounding rules, cutoffs, or fee structures, and they may collect escrow items in the same monthly bill. This calculator isolates principal and interest and uses standard formulas, so minor differences from official disclosures are normal.

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This loan amortization calculator provides estimates for educational purposes only and does not constitute financial advice or a loan offer. Always review official disclosures and amortization schedules from your lender before making borrowing or payoff decisions.