Loan principal
$25,000.00
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.
- The amortization formula uses the number of monthly payments.
- The interest calculation is based on a monthly periodic rate.
- 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.
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.
Loan principal$25,000.00
Total interest$5,414.59
Total repayment$30,414.59
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
Convert the loan term
n = years x 12
5 x 12
The amortization formula uses the number of monthly payments.
60 payments
- 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
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
EasyEstimate 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-worldChoose 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.
Related articles
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
Formula and Explanation
Payment = P [r(1 + r)^n] / [(1 + r)^n - 1]
Loan payments are calculated from the principal, periodic interest rate, and number of payments.
Variable descriptions
- Payment
- Payment: A known value used in this calculation.
- P
- Principal: The starting amount, loan balance, or initial value.
- r
- Rate: The rate used for each calculation period.
- n
- Number of periods: The number of payments, intervals, or observations.
Formula Notes
- Use consistent units for values that are multiplied, divided, or compared.
- Results may be rounded for readability, while the calculator keeps greater precision internally.
- Rates, fees, taxes, and lender conventions can change the real-world total.
Common uses
- Compare loans
- Estimate monthly payments
- Plan repayment
Assumptions
What this calculation assumes
- The loan is modeled as fixed-rate and amortized monthly.
- Optional fees are excluded unless included in the principal.
- Payments are assumed to happen on schedule.
Avoid mistakes
Quick checks before you rely on the result
- Comparing only monthly payments.
- Ignoring APR, fees, insurance, and taxes.
- Forgetting that longer terms can raise total interest.
Step-by-Step Explanation
Follow the reasoning, not only the final number.
- 1
Set up the calculation
Enter the loan amount.
Starting with clearly defined values and units prevents the most common calculation errors.
- 2
Work through step 2
Enter annual interest rate and term.
This step transforms the known values into the form required by the formula.
- 3
Work through step 3
Convert the annual rate to a monthly rate.
This step transforms the known values into the form required by the formula.
- 4
Work through step 4
Apply the amortization formula.
This step transforms the known values into the form required by the formula.
- 5
Interpret the result
Review payment, interest, and total repayment.
Compare the result with your real-world goal, such as compare loans.
Worked example
Example loan payment
Known values
- Loan amount: $25,000
- Rate: 8%
- Term: 5 years
Calculation
- 1. Monthly rate is 0.08 / 12.
- 2. Total payments are 60.
Result and meaning
Estimated payment is about $507 per month.
Calculator guide
About this Loan Calculator
Estimate loan payments, total interest, payoff totals, and amortized monthly costs. This page includes an interactive calculator, concise formula notes, worked examples, FAQs, related calculators, and practical guidance you can revisit whenever needed.
References
Sources used for this calculator
Last checked: 2026-06-24
Official
Consumer Financial Protection Bureau amortization schedule guidance
Consumer Financial Protection Bureau
Last checked: 2026-06-24
Last checked: 2026-06-25 | Next review: 2026-12-25
Last checked: 2026-06-25 | Next review: 2026-12-25
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.
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.
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