Calculation Methodology

Standard formulas, shown on every page

Every calculator uses published, industry-standard financial mathematics: level-payment amortization for loans and mortgages, compound growth and annuity formulas for savings and investing, discounting for present value, and month-by-month simulation where no closed form exists (multi-debt payoff, rent-vs-buy). Each calculator page has a Formula and methodology section that states the formula it uses, defines every variable, and explains the calculation order — so you can reproduce any result by hand or in a spreadsheet.

Core conventions

• Loan interest accrues monthly on the reducing (remaining) balance: monthly rate = annual rate ÷ 12. Payments are assumed at the end of each period. This matches mainstream consumer lending in the US, UK, EU and India; the few products that accrue daily will differ by a fraction of a percent.
• Compound growth supports daily, monthly, quarterly, half-yearly and yearly compounding. When contribution frequency differs from compounding frequency, the periodic rate is converted exactly: i = (1 + r/m)^m/p − 1.
• Rounding: calculations run in full floating-point precision; displayed currency values are rounded to the smallest unit (cent/paisa). In amortization schedules the final payment is adjusted by the leftover cents so the balance closes at exactly zero — the same practice lenders use.
• Dates (payoff dates, goal dates) assume the first period begins one month from today and no payments are missed.
• Currency selection changes formatting only. Choosing ₹ or € does not convert amounts at an exchange rate; the mathematics of rates and periods is currency-independent.

Automated testing

The calculation library is separated from the interface and covered by an automated test suite that runs before any release. Tests check results against independently known reference values (for example, a $250,000 loan at 6.5% over 30 years must produce a $1,580.17 monthly payment), verify edge cases (zero interest rates, very small and very large amounts, payments that fail to cover interest), and confirm that schedules internally reconcile — principal portions must sum to the loan, balances must close at zero.

Simulation-based tools

Three calculators use explicit month-by-month or year-by-year simulation rather than a single formula, because their questions have no closed-form answer: the Debt Payoff Calculator (multiple debts with rolling minimums), the Rent vs Buy Calculator (interacting growth rates and transaction costs), and goal-timing calculations in the savings tools. Their pages document each simulation step in order, and the same honesty applies: assumptions you can see, defaults you can change.

Reference sources

The formulas here are not ours — they are the standard results of financial mathematics, and you can check them against independent sources:

• Time-value-of-money and annuity formulas (payment, future value, present value) follow the closed forms published in standard corporate-finance texts such as Ross, Westerfield & Jordan, Fundamentals of Corporate Finance, and Brealey, Myers & Allen, Principles of Corporate Finance.
• Amortization and APR concepts match the definitions used by the U.S. Consumer Financial Protection Bureau — for example its explainer on interest rate vs APR.
• Compound-interest results can be cross-checked against the U.S. SEC's Investor.gov compound interest calculator.
• Reducing-balance (EMI) conventions for Indian lending follow the practices of banks regulated by the Reserve Bank of India.

Where a guide or calculator page relies on a specific external rule or definition, that page links its own source in context.

Versioning and review

Every calculator page shows a formula version and a last reviewed date. If a formula, assumption or default changes materially, the version increments and the review date updates. Corrections follow the corrections policy.

What methodology cannot fix

A correct formula applied to an assumption about the future is still an assumption. Projections at an "expected return" are planning centerlines, not predictions; lender quotes include fees and underwriting judgments no public calculator can know. Treat every output here as a well-computed estimate — the disclaimer spells out the boundary between education and advice.