Loan Calculator
Calculate monthly payments (PMT), total interest costs, and full amortization payoff schedule for any fixed-rate loan.
Input Parameters
Live Result
Details
Steps
Calculate Monthly Periodic Interest Rate (r = Annual Rate ÷ 12)
Calculate Constant Amortized Annuity Payment (Standard French Method)
Calculate Total Loan Cost and Lifetime Accrued Interest
Quick Answer & Understanding Your Result
A Loan Calculator determines your monthly repayment payment (PMT), total cumulative interest, and payoff timeline across fixed-rate personal, mortgage, or business loans.
Core Loan Amortization Components
- Monthly Payment (PMT): The fixed monthly payment required to amortize principal and interest over the loan term.
- Principal vs Interest Split: Early payments are predominantly interest; principal repayment accelerates progressively in later years.
- Total Interest Paid: The exact total finance charge paid to the lender above the original borrowed principal.
Borrowing & Financial Uses
- Home Mortgages & Refinancing: Planning 15-year or 30-year fixed home purchase financing.
- Personal & Commercial Lines: Comparing bank loan quotes to find the lowest effective borrowing cost.
Enter loan amount, interest rate, and term length above to generate your monthly payment and amortization schedule instantly.
Formula & Calculation Logic
Mathematical FormulaStandard banking amortization variables:
- P (Principal): Total borrowed loan amount.
- r (Periodic Rate): Monthly interest rate (Annual Rate ÷ 12 ÷ 100).
- n (Number of Payments): Total repayment months (Years × 12).
Step-by-Step Guide
Enter Loan Principal
Input the total amount borrowed (e.g. $50,000 or $200,000).
Enter Annual Interest Rate & Term
Input the bank APR (e.g. 6.5%) and duration in years (e.g. 5 or 30).
View Payment & Schedule
Receive monthly payment, total interest cost, and month-by-month amortization table.
Worked Examples Table
| Example | Input Values | Calculated Result | Explanation |
|---|---|---|---|
| $200,000 Mortgage at 6.5% for 30 Years | Total repayment over 360 months equals $455,089.04. | ||
| 10-Year Linear Equipment Loan ($100k at 7.0% Equal Principal) | Provides instant quantitative evaluation for comparative practical analysis. |
Frequently Asked Questions
Evidence-Based Methodology & Authoritative References
Consumer Financial Protection Bureau (CFPB) - Loan Estimates
Federal Reserve Board - Consumer Guide to Credit
Standard: ISO / W3C / IETF Authoritative Domain Standard
Formula: Monthly Payment PMT = P × [r(1 + r)ⁿ] ÷ [(1 + r)ⁿ - 1]
Last Reviewed: August 21, 2026
Primary Source: Consumer Financial Protection Bureau (CFPB) - Loan Estimates
Reference Document: Federal Reserve Board - Consumer Guide to Credit
Computation Privacy: 100% client-side 0ms computation, zero data retention
Calculated financial results are modeled based on standard financial and mathematical formulas. For actual contracts or commercial loans, official amortizations will depend on lender-specific terms, fees, and regulatory provisions.
Explore Related Tools, Methodologies & Guides
Interconnected domain knowledge, verified computational engines, and peer-reviewed research.
Companion Calculators & Tools
Explore mathematically rigorous calculators and utilities designed for high precision.
Crypto Profit Calculator
Calculate cryptocurrency trading profits, return on investment (ROI %), break-even exit targets, and trading fee impacts.
DCA Calculator
Calculate investment growth and returns with Dollar-Cost Averaging (DCA) across recurring daily, weekly, or monthly contributions.
Savings Calculator
Calculate future savings growth, accumulated interest, and required monthly contributions to reach your savings target.
VAT Calculator
Calculate VAT tax amount, gross price, and net amount with standard international tax rates.
Gross to Net Salary Calculator
Convert gross salary to net take-home pay and vice versa with statutory tax and insurance deductions.
Loan Amortization Calculator
Generate complete monthly loan amortization schedule, principal payoff, and total interest.
Car Loan Calculator
Calculate auto loan monthly payments, total interest, sales tax, and trade-in value adjustments for new or used car purchases.
Mortgage Calculator
Calculate monthly mortgage payments, total interest, and complete loan payoff schedule.
Scientific Methodologies & Standards
In-depth mathematical frameworks, statutory criteria, and academic whitepapers.
Comparative Analysis of Bank Amortization Models & Debt Cash-Flow Optimization
Value-Added Tax (VAT) Calculation Mechanics & Multi-Tier Regime Analysis
Algorithmic Cross-Rate Triangulation, FX Spread Mechanics & Digital Asset Parity
In-Depth Guides & Domain Research
Comprehensive tutorials, practical scenarios, and operational optimization guides.
Mastering Loan Amortization: Fixed Annuity vs Equal Principal Strategies
Deconstruct amortization mechanics, front-loaded interest drag, and prepayment velocity with data-backed models and interactive schedule simulations.
Mastering YAML to JSON AST Parsing: Resolving Indentation, Type Coercion, and RFC 8259 Compliance
Master YAML to JSON conversion with AST tokenization rules, safe scalar typing, and RFC 8259 specs for automated cloud pipelines and API schemas.
Mastering VAT Calculations: Gross vs Net Pricing, Input Tax Credits, and Commercial Compliance
Master Value-Added Tax mechanics. Learn gross-to-net reverse formulas, input tax deduction workflows, and cross-border invoicing standards.
Calculated results are modeled based on standard scientific and mathematical formulas. Please verify with domain-specific technical documentation for specialized applications.