This is how EMI works: each month you make a single fixed payment covering both the interest owed and part of the loan itself. Below we break down the formula, why it’s worth knowing, and how to use it when you’re comparing loan offers.
Understanding how emi is calculated
The EMI—Equated Monthly Instalment—is calculated from three figures you already have: the loan amount, the annual interest rate, and the repayment term in months. Interest is first calculated for the whole loan, then split evenly across every month and added to the portion of principal you’re paying off. That’s why your bill stays the same each month even though the interest shrinks and the principal grows over time.
For example, borrow £10,000 at 6% a year for five years. Turn the annual rate into a monthly rate: 6 ÷ 12 = 0.5% per month. Drop the numbers into the formula: EMI = P × r × (1+r)^n ÷ ((1+r)^n – 1). That gives £10,000 × 0.005 × (1.005)^60 ÷ ((1.005)^60 – 1). The result is £193.33 a month. Over 60 months you pay £11,599.80 in total, so the interest works out at £1,599.80.
If the arithmetic feels tedious, use our free Loan Calculator—type in the loan, rate and term to see the EMI, total interest and full repayment in seconds.
How to work it out, step by step
- Enter the total amount you want to borrow.
- Enter the annual interest rate offered by your lender.
- Enter the loan term in years.
- Your monthly payment updates instantly, along with total interest and total cost.
EMI = P × r × (1+r)^n / ((1+r)^n − 1), where r = monthly rate, n = number of monthsWhy it matters
People often fixate on the monthly figure and ignore the true cost. Compare a £10,000 loan at 6% over five years—£1,599.80 in interest—and the same loan over ten years costs £3,316.50. That difference is money you could put to better use, so always weigh the total price, not just the EMI.
Free tools for this
| Tool | What it does |
|---|---|
| Loan Calculator | Work out your monthly loan payment (EMI), total interest and total repayment in seconds. |
| Mortgage Calculator | Estimate your monthly mortgage payment and the true cost of your home loan. |
| Car Loan Calculator | Find your monthly car payment and how much interest the loan will cost. |
Try the Loan Calculator
Skip the manual maths — enter your numbers and get the answer instantly.
Open the Loan Calculator →Good to know
Small differences in interest rate, term or timing can add up to large sums over the years. Before committing to any financial decision, run a few different scenarios so you can see the full picture and choose with confidence.
Key takeaways
- Use a £10k loan at 6% for 5 years and your EMI is £193.33 a month.
- Total interest rises sharply if you take longer to pay the loan back.
- Our free Loan Calculator gives the EMI, total interest and total repayment instantly.
Frequently asked questions
What is EMI?
EMI stands for Equated Monthly Instalment — a fixed payment you make each month that combines interest and principal so the loan is fully paid off by the end of the term.
Does a longer term lower my payment?
Yes. A longer term reduces the monthly payment but increases the total interest you pay, because you owe money for longer.
Is this calculator accurate for any currency?
Yes. The math is the same in any currency — just enter your amount and rate. The result is in the same currency you entered.
