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EMI Calculator – Monthly Loan Payment

Quick answer

EMI = P × r(1+r)^n / ((1+r)^n − 1).

  • Compute the equated monthly installment for home, car and personal loans with full interest breakdown.

Figures are estimates from this calculator’s standard formula — adjust the inputs in the tool below for your exact number.

How Does the EMI Calculator Work?

EMI = P × r(1+r)^n / ((1+r)^n − 1)

EMI stands for Equated Monthly Installment — the fixed payment that fully repays a loan over its term. The calculator applies the reducing-balance annuity formula, where P is the loan principal, r the monthly interest rate (annual rate ÷ 12) and n the number of monthly installments. Example: a 1,200,000 loan at 8.5% annual for 15 years gives r = 0.0070833 and n = 180, so EMI = 1,200,000 × 0.0070833 × (1.0070833)^180 ÷ ((1.0070833)^180 − 1) ≈ 11,818 per month, of which the very first payment contains 8,500 of interest and only 3,318 of principal. Over 180 installments the total interest reaches roughly 927,240 — nearly 77% of the amount borrowed, which is why comparing EMI across terms matters as much as comparing rates.

  1. 1

    Step 1

    Enter the loan principal P — the amount borrowed before interest.

  2. 2

    Step 2

    Enter the annual interest rate; the tool divides by 12 to get r.

  3. 3

    Step 3

    Enter the tenure in years or months to set n, the installment count.

  4. 4

    Step 4

    Read the EMI, the total interest, and the total amount repayable.

Use Cases

Home loan budgeting

Checking the installment a 15- vs 25-year tenure implies before committing

Car loan comparison

Testing dealer finance EMI against a bank loan for the same car

Personal loan screening

Seeing whether the offered installment fits your monthly surplus

Prepayment planning

Estimating how a lump sum in year 3 shortens the remaining term

Common Mistakes

  • Stretching tenure for a smaller EMI

  • Using the annual rate directly

  • Ignoring fees and insurance

FAQs

How is EMI calculated?

EMI = P × r(1+r)^n / ((1+r)^n − 1), where P is principal, r the monthly rate (annual ÷ 12) and n the number of installments. Example: 1,200,000 at 8.5% for 15 years gives an EMI of about 11,818.

How much EMI per lakh at 9% for 20 years?

Roughly 900 per 100,000 borrowed: the formula with P = 100,000, r = 0.0075 and n = 240 returns about 899.7, so a 2,000,000 loan costs around 17,995 per month.

How can I reduce my EMI?

Three levers: borrow less (bigger down payment), negotiate a lower rate, or extend the tenure. A 1% rate cut on a 1,200,000 15-year loan saves about 800 per month; extending 15 to 20 years saves about 1,430 monthly but adds roughly 300,000 of total interest.

What happens to my EMI when interest rates reset?

On floating-rate loans banks either raise the EMI or keep it and extend the tenure. A rise from 8.5% to 9.5% on a 1,200,000 15-year balance lifts the installment by roughly 750 — recompute before the reset letter surprises you.

Does prepayment reduce EMI or tenure?

Usually you choose: the same EMI clears the loan faster (a 200,000 prepayment in year 3 of our example cuts about 5 years), or a reduced EMI keeps the original end date. Tenure reduction saves far more interest.

Why is my first EMI mostly interest?

Interest is charged on the outstanding balance: month one owes 1,200,000 × 0.0070833 ≈ 8,500 of the 11,818 payment. The principal share grows each month as the balance falls.