The EMI formula with your numbers in it
Next to the answer, the page substitutes P, r, and n into EMI = P·r·(1+r)^n / ((1+r)^n − 1) step by step, so you can check the payment by hand or hold it up against a lender's quote.
Find the payment on any personal loan, see what it costs once interest and fees are counted, and test how a different term or an extra payment changes it.
Monthly payment (EMI) $800.82. Total interest $3,829.65 over 36 payments.
You could borrow up to $15,608.92 with a payment of $500.00 a month.
Fortnightly means every two weeks, which US lenders call biweekly.
Paid upfront or taken from what you receive. It leaves the payment alone and raises the APR.
Prepayments shorten the loan. The regular payment stays the same.
36 monthly payments over 3 years at 9.5% a year on $25,000.00.
Add an extra amount to each payment, or a one-off lump sum, to see how much interest and time it saves.
25,000.00 × 0.007916667 × 1.328271 ÷ (1.328271 − 1) = 800.82
EMI, short for equated monthly instalment, is the name lenders and borrowers in India use for this payment. It is the same figure a US or UK lender calls the monthly payment.
With no fee the APR equals the interest rate. Enter an upfront fee, as a percentage or a flat amount, to see how far it lifts the APR. The fee does not change the payment; it reduces what you actually receive.
Same amount, rate, and frequency. The fee and extra payments are left out so the terms compare like for like.
Start from the payment you can manage. The amount is solved at the rate, term, and frequency above.
36 monthly payments of $500.00 at 9.5% a year over 3 years, with $2,391.08 of interest.
Each payment split into interest and principal, with the balance left after it.
| Year | Payments | Principal | Interest | Paid in year | Balance at end |
|---|---|---|---|---|---|
| 1 | 12 | $7,558.37 | $2,051.52 | $9,609.88 | $17,441.63 |
| 2 | 12 | $8,308.52 | $1,301.37 | $9,609.88 | $9,133.12 |
| 3 | 12 | $9,133.12 | $476.77 | $9,609.88 | $0.00 |
These are estimates, not financial advice or a loan offer. Lenders round each payment to the cent, which on its own moves their figures by a few cents a payment. Many also work out interest daily rather than monthly, and a first payment that falls more or less than one period after the loan is paid out will be larger or smaller. Daily interest and the first payment date can move each payment's split between interest and principal by more than rounding does, often a few dollars a month, and can change the final payment. The fees a lender charges, and whether it adds them to the balance or takes them from what you receive, change the real cost, so compare the APR on the lender's own disclosure. Some lenders also charge for paying early.
Financing a vehicle? Fold the trade-in, sales tax, and dealer fees into the amount before working out the payment.
For a home loan, with property tax, insurance, PMI, and equity built into the monthly cost.
Find the monthly payment you can genuinely afford before testing what it lets you borrow.
Amount, rate, and term set the payment. The fee, the extra payments, and the repayment frequency change what the loan costs in full, and every panel updates as you type.
Enter the amount, the annual interest rate, and the term in months or years. Choose monthly, fortnightly, or weekly repayments and the month your first payment is due.
Enter an upfront fee as a percentage or an amount to see the true APR. Add a regular extra payment, a one-off lump sum, or both, to see the interest and time they save.
Check the payment, total interest, and payoff month, compare a shorter and a longer term, work out what a budget lets you borrow, and download the schedule as CSV.
Next to the answer, the page substitutes P, r, and n into EMI = P·r·(1+r)^n / ((1+r)^n − 1) step by step, so you can check the payment by hand or hold it up against a lender's quote.
An upfront fee leaves the payment alone but shrinks what you actually receive. The calculator solves for the rate at which your payments are worth exactly that net amount, which is what an APR measures. A 2% fee on 10,000 at 10% over 36 months lifts the APR to about 11.39%.
Add a fixed extra to every payment, a one-off lump sum in any month, or both. The result shows the interest saved and how much sooner the loan ends, measured against the same loan without them.
Turn the question around: enter the payment you can manage and get the largest amount it repays at the same rate and term. At 9% over 48 months, 300 a month repays a loan of about 12,055.
See the payment, total interest, and total repaid for your term and its nearest shorter and longer neighbours, then switch to one of them with a single click.
Read the amortization schedule by year or payment by payment, with due dates from the month you choose, and download either view as a CSV file for a spreadsheet.
A fixed-rate loan uses the annuity formula: payment = P × r × (1 + r)^n ÷ ((1 + r)^n − 1), where P is the amount borrowed, r is the annual rate divided by the number of payments a year, and n is the number of payments. For 10,000 at 12% over 36 months, r is 0.01 and 1.01^36 is about 1.430769, so the payment is 10,000 × 0.01 × 1.430769 ÷ 0.430769, which is 332.14 a month. Each payment covers that period's interest first, and the rest reduces the balance.
EMI stands for equated monthly instalment, the term banks and borrowers in India use for the fixed monthly payment on a loan. It is the same number a US or UK lender calls the monthly payment, worked out with the same formula. A ₹5,00,000 personal loan at 10.5% for five years has an EMI of about ₹10,747, with about ₹1,44,817 of interest over the 60 months.
The interest rate is what the lender charges on the balance you owe. The APR, or annual percentage rate, also counts certain upfront fees, so it reflects what borrowing really costs. Borrow 10,000 at 10% over 36 months with a 2% fee and you receive 9,800 but repay as if you had received 10,000, so the APR comes out at about 11.39%. Which fees a lender has to include depends on the country and the type of loan, so compare APRs from the same kind of disclosure.
Interest is charged on the balance you still owe, so anything that cuts the balance early cuts every interest charge after it. Here an extra payment goes entirely to principal and the regular payment stays the same, which ends the loan sooner. On 25,000 at 9.5% over three years, 100 extra a month plus a 2,000 lump sum in month 12 saves about 806 in interest and seven payments. Check first whether your lender charges for paying early; some do.
A longer term lowers each payment but keeps the balance outstanding for longer, so you pay more interest overall. Borrowing 10,000 at 12% costs 470.73 a month and 1,297.63 in interest over 24 months, 332.14 a month and 1,957.15 over 36 months, and 222.44 a month and 3,346.67 over 60 months. The comparison panel shows the same trade for your own loan.
It is the table of every payment over the life of the loan, split into the part that pays interest and the part that reduces the balance, with the balance left after each one. Early payments are mostly interest because the balance is at its largest; by the end almost all of each payment is principal. You can read the schedule here by year or payment by payment and download it as CSV.
Run the payment formula backwards: amount = payment × (1 − (1 + r)^−n) ÷ r. At 9% a year over 48 months, 300 a month repays a loan of about 12,055, with roughly 2,345 of the 14,400 you pay going to interest. The reverse-solve panel does this at whatever rate and term you have entered. Lenders also weigh your income, other debts, and credit history, so treat the figure as the most that payment can carry, not as what you will be offered.
At 0% the formula would divide zero by zero, so the payment is simply the amount divided by the number of payments: 25,000 over 36 months is 694.44 a month, and you repay exactly what you borrowed. A 0% offer can still cost money through fees; a 500 arrangement fee on that loan gives an APR of about 1.32%. Some promotional offers also charge interest back to the start if the balance is not cleared in time, so read the terms.
Most lenders round each payment to the cent and adjust the final payment to match; rounding on its own moves the figures by a few cents a payment. Many lenders also work out interest daily rather than monthly, so a 31-day month costs a little more than a 28-day one, and the first payment can be larger or smaller when it falls more or less than one full period after the money is paid out. Daily interest and the date of the first payment can move each payment's split between interest and principal by more than rounding does, often a few dollars a month, and can change the size of the final payment. The fees a lender charges, and whether it adds them to the balance, usually matter far more.
A little, because the balance falls slightly sooner. On 25,000 at 9.5% over three years, monthly payments cost 3,829.65 in interest, fortnightly payments 3,776.83, and weekly payments 3,754.17. The bigger saving people associate with biweekly plans comes from paying half the monthly amount every two weeks, which adds up to 13 monthly payments a year instead of 12. That is really an extra payment, and you can model it here with the extra-payment field.
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