EMI Formula: How To Calculate EMI With Example (2024)

While you can easily choose and apply for different loans, prior knowledge of how much you need to borrow can help to avoid facing payment defaults. Since failing to pay EMIs on time can harm your financial record, it is imperative to find an instalment amount that suits your financial capabilities.

In this regard, using an EMI calculator can be of great help. This type of online application will allow you to assess your monthly payment obligation that aligns with your ability to pay back the loan.

What is the EMI Formula to calculate monthly EMIs?

When applying for a loan from a financial institution, you must pay an EMI or Equated monthly instalment. However, estimating how much you can actually afford to repay per month can be a challenging process.

The basic formula that works in calculating EMI is as follows:

E = P x R x (1+r)^n/((1+r)^N – 1, where

E = Equated Monthly Instalment

‘P’ stands for principal amount

‘R’ denotes applicable rate of interest

‘N’ stands for the loan term or tenure

By using this formula, you can easily calculate the monthly instalment of your loan. However manual calculations are more prone to errors leading to a wrong decision. In such a case, an EMI calculator comes into play.

Formula for Online Emi Calculators

The mathematical formula mentioned above is considered and used by the entire financial industry for calculating the EMI for any loan amount. The online EMI calculator is adjustable; you can calculate the EMI payable by entering the values as per your preference.

Online EMI calculators also work on the basis of this formula:

EMI = [P x R x (1+R)^N]/[(1+R)^N-1].

So to get a comprehensive understanding of these variables, let's discuss them in detail:

  • R represents ‘rate of interest’. It is the interest rate that a lending institution charges for a loan. This rate of interest may vary depending on the lender; higher the rate of interest, higher will be the EMI amount.
  • P denotes your principal amount. It is the loan amount that you borrow from a lender. The lower the amount you borrow, the lower will be the EMI and vice versa.
  • N indicates the loan tenure. It is the time within which you must repay the loan amount. This loan amount is inversely proportional to the EMI. This signifies that the longer your loan tenure, the lower will be the EMI and vice versa.

These are the factors on which your EMI amount depends. You can alter these values in the EMI calculator as per your loan details or preference.

EMI Calculation Formula with Example

After learning about each variable, let's get a clear idea of how this calculator works.

Suppose you have availed a loan of Rs 10 lakh to build a house. The lending institution has offered a loan with an annual interest rate of 7.2% for a tenure of 10 years.

As per the formula, the monthly loan repayment amount will be:

P x R x (1+R)^N / [(1+R)^N-1] where,

N is 10 years or 120 months

R is 7.2% = 7.2/12/100 = 0.006

EMI = Rs 10,00,000 * 0.006 * (1 + 0.006)120 / ((1 + 0.006)120 – 1) = Rs 11,714.

Hence, you will be paying the EMI of Rs 11,714 every month for 10 years. Some lending institutions may show you the break up between the principal amount and interest rates to help you assess your EMI payments.

Factors affecting your monthly EMI amount

With the current market rates, tenure and other factors, both the number of EMIs and the amount can change. The principal factors that can have an impact on your loan amount, as well as EMI, are as follows:

  • Fixed or floating rate of interest on loans

The kind of interest paid on the loan is an important factor in determining your monthly EMI amount. For instance, in case of a loan with a fixed rate of interest, EMI payments remain constant throughout the tenure. Whereas the interest rate on loans with floating rates fluctuates in accordance with market rates.

  • Pre-closing or partial payments

It is another factor that affects your EMI payments. The principal amount of the loan gets reduced every time you make partial payments towards the loan. This leads to a reduction of the total interest that must be paid.

In most cases, if you are making a partial payment, you will be given an option of keeping the tenure or the EMI amount the same. Your loan duration or tenure will decrease if the EMI is kept same. In a similar way, your monthly payment obligation will reduce if the tenure stays the same.

It is clear that all varying factors complicate the process of calculating your monthly EMI manually. In such a scenario, an online EMI calculator enables you to calculate the repayment amount seamlessly. Hence, you get to save a lot of time, resulting in a hassle-free and convenient experience.

Final Word

Before applying for any loan, it is imperative to calculate your repayment amount to ensure that the EMI payments won’t strain your finances. This article has discussed the EMI calculator formula in detail, which can help you understand how the repayment amount is calculated. As a result, you can manage your finances most efficiently.

Frequently Asked Questions

  1. Are EMI calculators accurate?

Yes, the automatically fed formula into the calculator’s system helps to compute EMIs of any loan within a few seconds. It reduces the errors associated with lengthy calculations.

  1. What are the advantages of using an EMI calculator?

You can use EMI calculators anytime, anywhere. Using an EMI calculator gives you the liberty to make various adjustments and also helps you to compare different loan principal amounts and their EMIs effortlessly.

  1. What is an ideal EMI?

There is no such major thumb rule for an ideal EMI; it depends on your repayment or financial capacity. However, it is advisable not to exceed 40% of your salary.

  1. What are the different types of EMI calculators?

There are different types of EMI calculators. This includes a personal loan EMI calculator, car loan EMI calculator, home loan EMI calculator, education loan EMI calculator and Loan against Property EMI calculator. Therefore, you can use these calculators depending on your loan type.

EMI Formula: How To Calculate EMI With Example (2024)

FAQs

EMI Formula: How To Calculate EMI With Example? ›

Examples of Equated Monthly Installment (EMI)

How to calculate EMI formula with example? ›

For example, If a person avails a loan of ₹10,00,000 at an annual interest rate of 7.2% for a tenure of 120 months (10 years), then his EMI will be calculated as under: EMI= ₹10,00,000 * 0.006 * (1 + 0.006)120 / ((1 + 0.006)120 - 1) = ₹11,714. Calculating the EMI manually using the formula can be tedious.

How to calculate EMI in Excel with example? ›

To calculate EMIs and interest for Personal Loans using Excel, input the loan amount, annual interest rate and loan tenure into separate cells. Then, use the formula =PMT(B2/12, B3, B1) in the EMI cell where B2 is the interest rate, B3 is the tenure and B1 is the loan amount.

How to calculate equal monthly installments? ›

The EMI amount is calculated by adding the total principal of the loan and the total interest on the principal together, then dividing the sum by the number of EMI payments, which is the number of months during the loan term.

What is EMI in EMI calculator? ›

An Equated Monthly Instalment represents a part of your principal amount and interest payable.

How to calculate monthly installment payment? ›

Installment Loan Payment Formula

Use the formula P (r(1+r)^n)/((1+r)^n-1) to calculate your payment for each month. “P” is the amount of the loan (which is called the principal), “r” is your interest rate, and “n” is your number of payments.

What is the EMI for a 15 lakh home loan? ›

Loan AmountInterest RateEMI Amount
₹15 Lakhs8.75%*₹18,799
₹15 Lakhs8.75%*₹14,992
₹15 Lakhs8.75%*₹13,256
₹15 Lakhs8.75%*₹12,332
1 more row

How to calculate EMI in USA? ›

Equated Monthly Installment (EMI) Formula

The EMI flat-rate formula is calculated by adding together the principal loan amount and the interest on the principal and dividing the result by the number of periods multiplied by the number of months.

What is the formula for calculating monthly payments? ›

Monthly Payment = (P × r) ∕ n

Again, “P” represents your principal amount, and “r” is your APR. However, “n” in this equation is the number of payments you'll make over a year. Now for an example.

How do I calculate monthly installments in Excel? ›

=PMT(17%/12,2*12,5400)

The rate argument is the interest rate per period for the loan. For example, in this formula the 17% annual interest rate is divided by 12, the number of months in a year. The NPER argument of 2*12 is the total number of payment periods for the loan.

How do you measure EMI? ›

Measuring EMI requires several devices, including the following:
  1. A spectrum analyzer (a device that measures and analyzes the strength of emissions from a device).
  2. An EMI receiver (a specific type of spectrum analyzer that measures electromagnetic emissions).
Feb 19, 2024

How to calculate monthly EMI for personal loan? ›

You can calculate your EMI amount with the help of the mathematical formula given below: EMI Amount = [P x R x (1+R)^N]/[(1+R)^N-1] where P, R, and N are the variables. It also means that the EMI value will change every time you change any of the three variables. 'P' stands for the 'Principal Amount'.

How to calculate interest rate per month? ›

How to calculate interest amount per month? Divide the annual interest rate by 12 and multiply by the loan principal: Monthly Interest = (Annual Rate / 12) * Principal.

How to calculate EMI for car loan calculator? ›

The EMI due each month on your car loan is ascertained with a mathematical formula: EMI Amount = [P x R x (1+R) ^N]/[(1+R) ^N-1], wherein P in principle, R is the rate of interest, and N is the number of instalments.

What is the formula for the monthly payment? ›

Monthly Payment = (P × r) ∕ n

Again, “P” represents your principal amount, and “r” is your APR. However, “n” in this equation is the number of payments you'll make over a year. Now for an example. Let's say you get an interest-only personal loan for $10,000 with an APR of 3.5% and a 60-month repayment term.

How to calculate monthly interest on a loan? ›

Divide your interest rate by the number of payments you'll make that year. If you have a 6 percent interest rate and you make monthly payments, you would divide 0.06 by 12 to get 0.005. Multiply that number by your remaining loan balance to find out how much you'll pay in interest that month.

What is the formula for EMI interest component? ›

To get the interest component in a particular month: =IPMT(I,x,n,-p) Also, you can calculate your EMI by typing: =PMT (I,n,-p)

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