Loan EMI Calculator Calculate Monthly Payment & Total Interest
Find your exact monthly EMI, total interest cost, and full amortization schedule for any loan. Supports home loans, car loans, and personal loans. Instant results, no sign up needed.
Loan EMI Calculator
Work out your monthly instalment, total interest and a full year-by-year amortisation schedule for any loan.
EMI = P x r x (1+r)^n / ((1+r)^n – 1), where r is the monthly rate and n the number of months. Figures assume a fixed rate and equal monthly instalments. Processing fees, insurance and rate resets are not included.
Inside the loan EMI calculator: the reducing balance formula and full amortization
Every fixed rate installment loan, whether it’s a mortgage, a car loan, or a personal loan, is priced with the same reducing balance formula. This tool applies that formula directly, then walks the loan month by month to build a real amortization schedule so you can see exactly how much of each payment chips away at the balance versus how much goes to the lender as interest.
The EMI formula, step by step
Worked example: a $300,000 loan at 6% annual interest over 20 years, which is 240 monthly periods at a monthly rate of 0.5%. The formula returns an EMI near $2,149.60. Multiply that by 240 payments and total payment lands around $515,904, meaning total interest paid over the life of the loan is about $215,904, nearly as much as the amount originally borrowed.
| Input | Value |
|---|---|
| Principal | $300,000 |
| Rate | 6.0% per year (0.5% monthly) |
| Tenure | 240 months (20 years) |
| Monthly EMI | ≈ $2,149.60 |
| Total interest | ≈ $215,904 |
How the amortization schedule is built
The EMI formula gives you one number, but it doesn’t show you how the split between principal and interest changes over time. To get that, the tool runs a second loop, one iteration per month, recalculating interest on whatever balance remains.
Because interest is charged on whatever is left, early payments are interest heavy and later payments are principal heavy, even though the EMI itself never changes. Monthly rows are grouped into yearly totals for display, and the schedule only renders automatically when the tenure is 360 months or fewer, so a 40 year mortgage entered in months rather than years won’t silently render 480 rows.
Reading the principal versus interest split
Principal bar
Shows what share of your total payments over the full loan actually reduces what you owe, calculated as principal divided by total payment.
Interest bar
The remaining share, which is pure cost of borrowing. On long low rate loans this can still be surprisingly large simply because of how many periods compound.
Yearly checkpoints
Rather than 240 individual rows, the schedule groups months into calendar years so you can see the balance trend without scrolling through a wall of numbers.
This tool models a fixed rate reducing balance loan only. It does not account for variable rates, prepayment penalties, origination fees, or insurance add ons some lenders bundle into a real monthly bill. Treat the output as an estimate for planning, not a binding quote.
Amortisation references
- Consumer Financial Protection Bureau on amortization explains the principal and interest split in plain terms.
- Amortization calculator, Wikipedia derives the same reducing balance formula used here.
- Investopedia on EMI covers how lenders quote this figure across different loan types.
Borrowing decisions this supports
Comparing a 15 year against a 30 year mortgage term before you talk to a lender, figuring out whether a car loan’s advertised monthly payment matches the rate and tenure quoted, checking how much of year one’s payments actually build equity, and stress testing a personal loan offer against a competing rate before you sign anything.
Frequently Asked Questions
EMI stands for Equated Monthly Installment. It is the fixed amount you pay to the lender each month to repay a loan over a specified tenure. The formula is: EMI = P x r x (1+r)^n / ((1+r)^n – 1), where P is the principal loan amount, r is the monthly interest rate (annual rate divided by 12, then by 100), and n is the number of monthly installments. This formula ensures each payment covers the interest due for that month plus a portion of the principal.
Flat rate interest is calculated on the original loan amount for the entire tenure, so the interest does not decrease as you repay the principal. Reducing balance (diminishing balance) interest is calculated only on the outstanding principal each month. This calculator uses the reducing balance method, which is the standard for home loans, personal loans, and auto loans. A flat rate of 10% is significantly more expensive than a reducing balance rate of 10% because the effective rate for flat is roughly double.
A longer tenure means more monthly payments, each carrying an interest component calculated on the remaining balance. While a longer tenure reduces your monthly EMI and improves cash flow, you pay interest for a greater number of months. For a Rs 50 lakh home loan at 8.5%, a 20 year tenure costs about 2x the principal in total interest, while a 10 year tenure costs about 60% of the principal. Prepaying principal early in the loan term has the most impact because it reduces the base on which interest compounds.
Making a lump sum prepayment reduces your outstanding principal immediately. In a reducing balance loan, this means subsequent EMIs carry less interest and more principal, effectively shortening your tenure or reducing your EMI. A prepayment made in the first few years of a long term loan (when you are still in the interest heavy phase) saves significantly more than the same amount paid later. Some lenders charge a prepayment penalty, typically 2 to 4% of the prepaid amount, particularly for fixed rate loans.
Amortization is the process of gradually paying off a loan through regular, scheduled payments. An amortization schedule shows the breakdown of each payment into principal and interest. Early in a loan, most of each EMI goes toward interest; as you repay, the interest portion shrinks and the principal portion grows. This happens because interest is charged on the outstanding balance, which decreases with each payment. The yearly amortization table in this calculator summarizes this schedule by year.
Always compare loans using the Annual Percentage Rate (APR), not the nominal rate, because APR includes processing fees, insurance premiums, and other charges that the stated rate omits. A loan advertised at 10.5% with a 1% processing fee has a true APR of roughly 11.5% or higher depending on how fees are amortized. In India, the equivalent is the Effective Annual Rate (EAR). RBI guidelines require lenders to disclose the Annualised Rate of Charge (ARC), which is the most comparable figure across lenders.
Yes. The EMI formula is universal regardless of loan type. The key differences between loan types are: home loans have the longest tenures (up to 30 years) and lowest rates; car loans have medium tenures (1 to 7 years) and moderate rates; personal loans have the shortest tenures (1 to 5 years) and highest rates since they are unsecured. Input the correct principal, rate, and tenure for each loan type and the calculator will work correctly for all of them.
Several strategies reduce total interest: (1) Make a larger down payment to reduce the principal. (2) Choose a shorter tenure, the monthly EMI is higher but total interest is much lower. (3) Make part prepayments annually using bonuses or savings. (4) Refinance to a lower rate if your credit score has improved. (5) Switch from a fixed to a floating rate (or vice versa) when market conditions are favorable. The amortization schedule in this calculator helps you see exactly how much each prepayment would save.
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