Financial

Free Loan Calculator

Compute the fixed monthly payment on any amortizing loan.

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Inputs

$
%

Result

Monthly payment

$500.95

Total interest$5,056.92
Total repayment$30,056.92

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Short answer

A loan payment is the fixed monthly amount that amortizes principal and interest across the loan term. It is computed from the loan amount, annual percentage rate (APR), and number of monthly payments.

What is the Loan Calculator?

A loan is a lump sum extended by a lender in exchange for scheduled repayments including interest. The loan calculator returns the periodic payment that satisfies the amortization schedule.

How does the Loan Calculator work?

The annual rate is divided by 12 to get the periodic rate; the term in years is multiplied by 12 to get the number of payments. The formula returns the level payment that reduces the balance to zero.

Formula

M = P · r(1 + r)^n / ((1 + r)^n − 1)

Variables

  • MMonthly payment
  • PLoan principal
  • rMonthly interest rate
  • nTotal number of monthly payments

Explanation

Standard amortization: each payment covers accrued interest first, and the remainder reduces principal until the balance is zero.

Examples

Example 1: $25,000 auto loan at 7.5% for 5 years

The monthly payment is about $500.90 and total interest paid is roughly $5,054.

Example 2: $10,000 personal loan at 12% for 3 years

Monthly payment is approximately $332.14; total interest paid is roughly $1,957.

Applications

  • Auto financing decisions
  • Personal loan comparison across lenders
  • Student loan repayment planning
  • Small-business term-loan modeling

Advantages

  • Turns APR marketing into a concrete monthly dollar figure
  • Isolates lifetime interest so borrowers can compare offers by true cost
  • Supports what-if analysis on term length

Limitations

  • Ignores origination fees, prepayment penalties, and late fees
  • Assumes a fixed rate; variable-rate loans will change over time
  • Does not include compounding for interest-only or balloon structures

Common mistakes

  • Confusing APR with the periodic (monthly) rate
  • Choosing the longest term to minimize payment while ignoring total cost

Tips

  • A shorter term with a slightly higher payment usually saves thousands in interest
  • Even small extra principal payments meaningfully shorten payoff

Related concepts

The Loan Calculator sits inside the Finance Calculators hub, in the loans & debt payoff cluster. Instalment borrowing, credit cards and payoff strategy. Understanding the terms below makes the output easier to interpret and easier to compare against neighbouring measures.

principalAPRtermavalanche methodsnowball methodminimum payment

Practical use cases and industry applications

Understanding Loan

A loan is a lump sum extended by a lender in exchange for scheduled repayments including interest. The loan calculator returns the periodic payment that satisfies the amortization schedule. Within finance calculators, loan belongs to the loans & debt payoff cluster, where it shares terminology and assumptions with closely related tools.

Learning how loan is calculated

Standard amortization: each payment covers accrued interest first, and the remainder reduces principal until the balance is zero. Working through the variables one at a time — M, P, r, n — makes the result reproducible by hand and easier to sanity-check.

Using loan to make a decision

Auto financing decisions Personal loan comparison across lenders Student loan repayment planning Because outputs depend on the assumptions you enter, run more than one scenario before committing to a figure.

How loan compares with related measures

principal, APR, term, avalanche method all describe adjacent aspects of loans & debt payoff. Comparing this calculator's output against those measures — using the related tools listed on this page — prevents a single metric from being read in isolation.

Frequently asked questions

What is APR?

APR (annual percentage rate) is the yearly cost of borrowing, expressed as a percentage that includes interest and certain fees.

Is this valid for interest-only loans?

No. This calculator assumes fully amortizing fixed payments.

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