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Certified calculator · Version 1

Loan EMI & Amortization Calculator

Model a reducing-balance loan with a deterministic monthly payment formula, inspect its amortization path and test how additional monthly payments change payoff time and interest.

Monthly payment1,663.26Total interest: 348,772.26 · Payoff: 360 months
Rate sensitivity ±1 percentage point1,498.88 / 1,663.26 / 1,834.41Lower-rate / base / higher-rate modeled monthly payments. This is scenario analysis, not a rate forecast.

How this calculator works

For a monthly rate r and n payments, payment = principal × r / (1 − (1+r)^−n). Zero-interest loans use principal / n.

Formula

M = P × r / (1 - (1 + r)^(-n))

Fixed monthly payment for a fully amortizing loan; zero-rate loans use P/n.

Worked example

Zero-interest one-month loan is a verified test case used by the calculation engine.

Assumptions and limitations

  • The stated annual rate is converted to a monthly rate by dividing by 12.
  • Payments occur monthly and the rate remains constant for the modeled term.
  • Fees, taxes, insurance and lender-specific rounding are excluded unless explicitly added by a future jurisdiction rule pack.

Methodology & sources

This calculator uses deterministic, versioned calculation logic. The formula and verified examples above are part of the calculation definition used by CalcuMint.

Frequently asked questions

Can CalcuMint solve the maximum loan from a payment?

Yes. The reverse affordability solver derives the principal supported by a target monthly payment, rate and term.

Does an extra payment reduce interest?

The amortization simulation applies the additional monthly amount to the outstanding balance, which can shorten the modeled payoff term and reduce modeled interest.