Home Loan EMI Calculator

Work out your fixed monthly home loan installment (EMI), total interest payable, and total repayment using the standard reducing-balance amortization formula.

Quick Facts

Formula
EMI = P x r x (1+r)^n / ((1+r)^n - 1)
P is the loan amount, r is the monthly interest rate (annual rate / 12 / 100), and n is the total number of monthly installments.
Model
Reducing-balance (amortizing) loan
Each fixed EMI first pays that month's accrued interest; the remainder reduces principal, so early payments are interest-heavy.

Your Results

Calculated
Monthly EMI
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Fixed installment per month
Total interest payable
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Sum of interest over full tenure
Total payment
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Principal + total interest
Interest as % of loan amount
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Total interest / loan amount

Ready

Enter loan amount, interest rate, and tenure, then press Calculate.

How the Home Loan EMI Calculator works

A home loan EMI (equated monthly installment) is the fixed amount you pay every month until the loan is fully repaid. It uses the standard reducing-balance amortization formula — the same math lenders use to set a monthly payment that covers both accruing interest and a shrinking principal, so the balance reaches exactly zero at the end of the loan tenure.

The formula

For a loan amount P, a monthly interest rate r (the annual rate divided by 12 and by 100), and n total monthly installments (tenure in years x 12, or tenure in months directly), the EMI is:

EMI = P x r x (1 + r)n / ((1 + r)n − 1)

If the interest rate is 0%, the formula reduces to EMI = P / n — the loan amount split into equal installments with no interest charged. The calculator assumes a fixed interest rate for the full tenure and monthly compounding, which matches how most fixed-rate home loans are structured.

Worked example

Take a $300,000 loan at 8.5% annual interest over 20 years (240 monthly payments). The monthly rate is 0.085 / 12 ≈ 0.007083. Plugging into the formula gives an EMI of roughly $2,603 per month. Over 240 payments that totals about $624,700, meaning roughly $324,700 is interest on top of the $300,000 principal.

Why early payments are mostly interest

  • Interest is charged on the outstanding balance: each month's interest portion is the current outstanding principal multiplied by the monthly rate. Since the balance starts at its highest point, the interest portion of the very first EMI is also at its highest.
  • The principal portion grows over time: because the EMI stays fixed while the outstanding balance shrinks, less of each payment is needed to cover interest and more goes toward principal as the loan matures.
  • Extra principal payments compound this effect: paying down principal early reduces the balance that future interest is calculated on, which is why prepayments made early in a loan's life save more total interest than the same prepayment made later.

Tenure and rate trade-offs

Stretching the same loan amount over a longer tenure lowers the monthly EMI but increases total interest paid, because the outstanding balance accrues interest for more months. A higher interest rate raises the EMI for any given tenure and increases the share of each early payment that goes to interest rather than principal. Comparing a few tenure and rate combinations side by side is the most direct way to see this trade-off before committing to a loan.

Frequently Asked Questions

How is home loan EMI calculated?
EMI is calculated with the standard reducing-balance amortization formula: EMI = P x r x (1+r)^n / ((1+r)^n - 1), where P is the loan amount, r is the monthly interest rate (annual rate divided by 12 and by 100), and n is the total number of monthly installments. This is the same formula banks and lenders use to set a fixed monthly installment that fully repays the loan by the end of its tenure.
Why does most of my early EMI go toward interest?
Each EMI first covers the interest accrued on the outstanding balance for that month, with the remainder reducing the principal. Since the balance is largest at the start of the loan, the interest portion is largest then too. As the outstanding principal shrinks over time, more of each fixed EMI goes toward principal and less toward interest.
How does loan tenure affect total interest paid?
A longer tenure lowers the monthly EMI because the principal is spread over more installments, but it increases the total interest paid because the balance accrues interest for a longer period. A shorter tenure raises the EMI but reduces total interest. Comparing tenures side by side shows this trade-off directly.
What happens if I enter a 0% interest rate?
With a 0% rate the formula reduces to EMI = P / n, since there is no interest to add — the loan amount is simply divided evenly across the number of installments, and total interest is zero.

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