how is EMI calculated? formula, examples and how to compare loan EMIs

how is EMI calculated? formula, examples and how to compare loan EMIs
Photo by Jakub Żerdzicki / Unsplash

equated monthly instalment that is what EMI stands for. a fixed amount paid every month until the loan gets fully repaid. each payment covers both the principal borrowed and the interest charged.

early in the loan term, interest takes up a large part of each EMI. as months pass, the interest portion shrinks. the principal portion grows. by the final months, almost the entire payment goes toward the principal.

this structure follows the reducing-balance method. standard for personal loans across India. the EMI stays constant throughout, giving borrowers predictable monthly outgo.

the EMI formula

here is the formula lenders use:

EMI = [P × R × (1+R)^N] / [(1+R)^N: 1]

the variables:

  • P = Principal loan amount
  • R = Monthly interest rate (annual rate ÷ 12 ÷ 100)
  • N = Loan tenure in months

working through an example

take a ₹5 lakh loan at 12% per annum for 24 months:

  • P = ₹5,00,000
  • R = 12% ÷ 12 ÷ 100 = 0.01
  • N = 24 months

EMI = [5,00,000 × 0.01 × (1+0.01)^24] / [(1+0.01)^24 to 1]

EMI = ₹23,537

that is the monthly payment required to clear the loan in 24 months.

more examples

home loan: A ₹50 lakh loan at 8% for 20 years gives an approximate EMI of ₹41,822. total interest over the full tenure exceeds the principal significantly.

personal loan: A ₹15 lakh loan at 13% over 4 years gives an approximate EMI of ₹40,241. shorter tenure keeps total interest lower than a longer-term loan.

Axis Bank example: A ₹10 lakh loan at 10% for 5 years results in a monthly EMI of ₹21,247. online calculators help estimate payments quickly without manual formula application.

what changes the EMI amount

the principal

borrow more, pay more each month. simple math. if the rate and tenure stay fixed, a higher principal means a higher EMI. borrow only what is genuinely needed.

the interest rate

rates vary widely. even a small difference: 8% vs 8.5% can impact the monthly outgo significantly. a higher credit score helps secure better rates and lower equated monthly instalments (EMIs).

the tenure

this one cuts both ways. longer tenures lower monthly EMIs but increase total interest paid. shorter tenures have higher EMIs but lower total interest.

real numbers: A ₹30 lakh home loan at 8.5% over 15 years gives an EMI of ₹29,542. stretch it to 25 years, and the EMI drops to ₹24,157. monthly outgo gets lower, but total interest climbs substantially.

credit score

a score above 750 directly reduces the monthly EMI by helping secure a lower rate. lenders view higher scores as lower risk. lower scores attract higher rates and higher EMIs.

prepayments

partial prepayments reduce the outstanding principal, lowering the EMI or shortening the tenure. borrowers should check for any prepayment penalties that may apply.

using online EMI calculators

bank websites and financial portals offer free EMI calculators. the process takes seconds:

  1. type in the loan amount
  2. enter the interest rate
  3. pick the tenure

the tool instantly shows the EMI, total interest, and total repayment. borrowers can tweak the numbers, change the amount, adjust the tenure, try different rates, until the EMI fits their budget. this helps with effective budgeting and financial planning.

comparing loan EMIs across lenders: what to look for

rates differ meaningfully across lenders for the same borrower. even a small gap can translate into large savings over a long-term loan. but a 0.5% lower rate may not be worth it if the lender adds a large upfront fee or insists on bundled products.

two loans with the same rate can still cost differently once fees and charges are added. borrowers should ask for the effective rate after adding processing fees, insurance, or goods and services tax (GST). that is the real comparison figure.

comparing lenders on the same loan amount and tenure is essential: otherwise the numbers will not line up. a loan with a lower rate but longer tenure may have higher total interest than one with a higher rate and shorter tenure.

understanding whether the interest rate is fixed or floating is also important. fixed rates keep the EMI constant throughout. floating rates change with market fluctuations.

in practice, shortlist two or three lenders, input their details into an EMI calculator, and see which total payout feels comfortable: not just which rate looks smaller.

most personal loans in India use the reducing-balance method, where interest is calculated on the principal amount owed. under the flat-rate method, interest is calculated on the total sanctioned principal amount throughout the loan tenure. the reducing-balance method typically results in lower total interest.

common mistakes

reducing the EMI after a repo rate cut is a common error. keeping the EMI unchanged can shorten the loan tenure and reduce total interest cost over time.

borrowers should not base borrowing decisions on expected future cash flows that may not materialise, or ignore current expenses and existing EMIs. a realistic assessment of present obligations is essential for sustainable borrowing.

part-prepayments can bring down the outstanding loan amount, lowering EMIs or reducing tenure. but borrowers should check for any prepayment penalties that may apply.

the amortisation schedule shows how each EMI payment is allocated between principal and interest. more EMI goes to interest in the early years, while principal repayment increases later. understanding this helps track repayment progress.

frequently asked questions

1. what is the formula to calculate EMI on a loan?

the formula is EMI = [P × R × (1+R)^N] / [(1+R)^N: 1], where P is the principal, R is the monthly interest rate, and N is the tenure in months. A ₹5 lakh loan at 12% over 24 months gives an EMI of ₹23,537.

2. how does loan tenure affect the EMI amount?

longer tenures have lower monthly EMIs but higher total interest paid. A ₹30 lakh loan at 8.5% has an EMI of ₹29,542 over 15 years and ₹24,157 over 25 years. choose a tenure that balances affordability with minimising total interest cost.

3. what is the difference between reducing balance and flat rate?

under reducing balance, interest is calculated on the outstanding principal, resulting in lower total interest. under flat rate, interest is calculated on the total sanctioned principal throughout the tenure, typically resulting in higher total interest.

4. how can borrowers compare loan EMIs across different lenders?

compare the annual percentage rate, including all fees, not just the headline rate. use an EMI calculator to see the total payout on the same loan amount and tenure. check whether the rate is fixed or floating. shortlist two or three lenders and compare total cost, not just the rate.

5. what is an amortisation schedule and why does it matter?

an amortisation schedule is a detailed payment plan for the entire loan tenure. it shows how each EMI is allocated between principal and interest. more EMI goes to interest in the early years, while principal repayment increases later. this helps borrowers understand repayment progress and plan prepayments effectively.