AZCalculate logo

Financial

Loan Calculator

The loan calculator estimates monthly payment, total interest, and payoff cost for an amortized loan.

loanmonthly paymentinterestamortizationpersonal loanauto loan

Calculator

Calculate instantly

Payment = P x r x (1 + r)^n / ((1 + r)^n - 1)
A fixed-rate amortized loan spreads principal and interest across scheduled payments. Reverse modes rearrange the same relationship or estimate the rate numerically.
  1. The amortization formula uses the number of monthly payments.
  2. The interest calculation is based on a monthly periodic rate.
  3. The calculator applies the payment formula, its reverse relationship, or a bounded rate estimate for the selected question.

Inputs

Loan scenario inputs

Move the sliders to estimate a payment, borrowing amount, term, or interest rate for a fixed-rate amortized loan.

Breakdown

Clear result breakdown

Review the values that explain the primary result.

Loan principal

$25,000.00

Payments

60

5.0 years

Affordable amount

$25,004.45

Estimated rate

8.01%

Visual comparison

Loan repayment composition

Principal, total interest, and full repayment update as you change the scenario.

Principal, total interest, and full repayment update as you change the scenario.

Practical guidance

Insights for this scenario

Term changes total cost

A longer term can lower the monthly payment, but it usually raises total interest because the balance remains outstanding for longer.

Compare the full repayment

Use total repayment alongside the monthly payment so a lower monthly figure does not hide a more expensive loan.

Model fees separately

Origination charges, insurance, tax, and early-settlement rules differ by lender. Add financed fees to the principal only when they are actually financed.

Amortization snapshot

Year 1
$4,236.00 principal / $1,846.92 interest / $20,764.00 balance
Year 2
$4,587.59 principal / $1,495.33 interest / $16,176.41 balance
Year 3
$4,968.36 principal / $1,114.56 interest / $11,208.05 balance
Year 4
$5,380.73 principal / $702.19 interest / $5,827.33 balance
Year 5
$5,827.33 principal / $255.59 interest / $0.00 balance

Step-by-step solution

Follow the calculation path from known values to final result.

  1. 1

    Convert the loan term

    n = years x 12

    5 x 12

    The amortization formula uses the number of monthly payments.

    60 payments

  2. 2

    Convert annual rate to monthly rate

    r = annual rate / 12 / 100

    8% / 12 / 100

    The interest calculation is based on a monthly periodic rate.

    0.006667

  3. 3

    Apply the selected loan mode

    Payment = P x r x (1 + r)^n / ((1 + r)^n - 1)

    The calculator applies the payment formula, its reverse relationship, or a bounded rate estimate for the selected question.

    $506.91

Formula explorer

Payment = P x r x (1 + r)^n / ((1 + r)^n - 1)

A fixed-rate amortized loan spreads principal and interest across scheduled payments. Reverse modes rearrange the same relationship or estimate the rate numerically.

P(USD)
Principal: The amount borrowed after any financed fees.
r(% per month)
Monthly rate: Annual interest rate divided by 12 and then by 100.
n
Number of payments: Loan term in months.

Assumptions and references

Assumptions

  • Interest rate and scheduled payment stay fixed for the modeled term.
  • Payments are monthly and occur on schedule.
  • Optional fees, tax, insurance, and penalties are excluded unless included in the amount.

Limitations

  • Actual lender APR, underwriting, timing, variable-rate terms, and early repayments can change the result.

Worked examples

Easy

Estimate a car or personal loan payment

Known values

  • Loan amount: $25,000.00
  • Annual interest: 8%
  • Term: 5 years

Calculation

  • 1. Convert 5 years to 60 monthly payments.
  • 2. Convert 8% annual interest to a monthly rate.
  • 3. Apply the fixed-rate payment formula.

Result and meaning

The monthly payment is about $507 before lender-specific fees and add-ons.

Real-world

Choose between two loan terms

Known values

  • Same borrowing amount and rate
  • One shorter term and one longer term

Calculation

  • 1. Compare both monthly payments.
  • 2. Compare total interest and total repayment.
  • 3. Choose a payment you can sustain with an emergency buffer.

Result and meaning

The shorter term normally costs less overall but requires a larger monthly commitment.

Learning guide

Understand the calculation

Concepts

  • Amortization means each payment contains both interest and principal.
  • Early payments usually contain more interest because the outstanding balance is larger.
  • APR and total repayment are both important when comparing offers.

Tips

  • Use take-home cash flow, not only lender affordability, when setting a payment target.
  • Compare the full term and total interest across offers.
  • Check whether fees are paid upfront or financed.

Common mistakes

  • Comparing only monthly payments.
  • Using a nominal rate when a lender quote uses a different APR method.
  • Forgetting insurance, tax, and other ownership costs.

Educational notes

  • This calculator provides an estimate, not a credit offer or financial advice.

Trust panel

Calculator quality and review

Reviewed by
AZCalculate finance calculator review
Review date
2026-06-25
References
4
Trust score
92/100
Formula verified
Yes
Risk level
high
Category
Financial
Calculator version
2.1
Formula version
2.1

Sign in to save this calculation and access it later.

Trust note

Important estimate

This loan calculation is an estimate for fixed-rate amortized loans. Actual lender terms, fees, APR, insurance, tax, early repayment rules, and eligibility can change the result.

High risk contextDifficulty: intermediateConfidence estimate: 92/100Reviewed 2026-06-25Reviewed by: AZCalculate finance calculator reviewCalculator v2.1 / Formula v2.14 sources listed

References

Sources used for this calculator

Found something that does not look right?

We work hard to keep every calculator accurate and useful. If you notice a calculation error, missing option, or unclear explanation, please let us know so we can review and correct it promptly.

Report an Issue

Calculator usage

Usage information loads after the calculator is ready.

FAQ

Loan Calculator FAQs

Can this calculator estimate auto loans?+

Yes. It works for many fixed-rate amortized loans including auto, personal, and installment loans.

Does it include fees?+

No. Add fees to the principal if you want to model them inside the payment.

What does the loan calculator estimate?+

It estimates monthly payment, total repayment, total interest, and reverse-mode values for fixed-rate amortized loans.

Can I calculate a loan amount from a target payment?+

Yes. Choose the loan amount mode and enter the payment, rate, and term you want to test.

Does this include lender fees?+

No. Add financed fees to the loan amount if you want them included in the payment model.

What is amortization?+

Amortization spreads principal and interest across scheduled payments over the loan term.

Why does a longer term cost more?+

A longer term can lower the monthly payment, but interest has more time to accumulate.

Can I use this for auto or personal loans?+

Yes. It works for many fixed-rate installment loans when the payment schedule is monthly.

Is APR the same as interest rate?+

Not always. APR can include certain fees and lender charges, so use the value that matches the comparison you need.

Can early repayment change the result?+

Yes. Extra payments or early payoff can reduce interest, depending on lender rules and fees.

Related tools

Related Calculators

Continue with closely related tools selected from the same subject and matching calculation needs.

Estimate payment, total cost, financing charge, and comparison scenarios for emi.

Popular

Estimate payment, total cost, financing charge, and comparison scenarios for personal loan.

Popular

Estimate affordable loan principal from monthly budget, rate, term, and existing monthly debt.

Estimate payoff time, total paid, interest, and extra-payment impact for debt payoff.

Popular

Estimate a credit card minimum payment using a percentage of balance, interest, and minimum floor.

Explore all Financial calculators