How to Calculate Equated Monthly Installments (EMI)
Equated monthly installments (EMI) refer to a loan repayment plan that is structured with fixed payments over a predetermined period of time. Most installment loans use EMI to give borrowers a set budget to make their payments over the loan term. If you’ve ever had an auto loan, student loan, or mortgage, for example, you’ve probably made payments using EMI.
Learn more about how equated monthly installments work, plus how to calculate EMI.
Key Points
• Equated Monthly Installments (EMI) are fixed payments made by borrowers to repay a loan over a set period.
• The flat-rate method calculates total interest by multiplying the principal by the annual interest rate and loan term.
• Total repayment amount is the sum of the principal and total interest, divided by the number of monthly payments.
• Understanding EMI helps in budgeting, comparing loan offers, and assessing the impact of interest rates and loan terms.
• Online calculators and spreadsheets are useful tools for calculating EMI, ensuring accurate comparisons and financial planning.
What Are Equated Monthly Installments?
Different types of debt use different methods for structuring the repayment process.
What is an equated monthly installment? EMIs are payments made toward an installment loan balance. As the name suggests, the payments are spread out equally over the loan term. However, the amount you pay in interest overall depends on the method used to calculate your EMI.
The flat-rate method spreads out the interest equally over the entire loan term. This calculation is typically used on auto loans and personal loans. The reducing-balance method, on the other hand, applies the interest rate to each month’s outstanding principal, so the amount of interest you pay decreases over time. Lenders usually use this formula for mortgages, credit cards, and student loans.
In other words, using the flat-rate method typically amounts to more interest paid over time compared to the reducing-balance method using the same loan terms.
Recommended: What Is a Personal Loan?
Components of EMI Calculation
The formula to calculate EMI requires a few pieces of information about your personal loan or other debt instrument.
You’ll need to know:
• Principal amount
• Periodic monthly interest rate or total interest (depending on which EMI method you’re using)
• Total number of monthly payments
With these details, you can compare the payment plan of different loan offers to see how it impacts your monthly payment and overall interest paid.
EMI Formula Explained
There are two separate formulas, depending on which method you choose.
EMI Formula for Flat-Rate Method
The monthly EMI formula using the flat-rate method is fairly straightforward. Simply add the total principal and the total interest, then divide that number by the total number of months in the loan term.
In order to do that, you first need to find the total interest paid on the loan amount. Get this number by multiplying the annual interest rate by the loan amount, and then multiply again by the number of years in the loan term.
Interest rate * Principal * Years = Total Interest Owed
From there, you’ll add the total interest to the loan amount and divide by the number of months.
(Principal + Total Interest) / Total Months in Loan Term = EMI
EMI Formula for Reducing-Balance Method
The formula to calculate EMI using the reducing-balance method is a little more complicated (and better for the borrower). Here’s the formula, and then we’ll give an example calculation below.
EMI = P*r(1 + r)n / [(1 + r)n – 1]
Each letter stands for the following piece of information:
• P = Principal loan amount
• r = periodic monthly interest rate (divide your annual interest rate by 12)
• n = number of payments (multiply the years in the loan term by 12)
You would apply this formula to each month to see how the principal and interest payments shift over time.
Key Variables in EMI Calculation
When you look at how loan payments are calculated, it’s easy to see what variables impact your total payments. Obviously, higher interest rates result in greater loan cost. But so do longer loan terms, because you’re paying that interest over an extended period of time.
Whether you’re taking on “good” or “bad” debt, calculating the EMI with the potential variables gives you a clear picture of exactly what your payments and costs will look like.
Step-by-Step EMI Calculation
You can calculate EMI manually using different formulas for each methodology. Here’s an example using the same loan terms for the flat-rate method and then the reducing-balance method.
Let’s say you borrow $50,000 with a 5.00% interest for a three-year term.
Flat-rate method example:
First, you find the total interest paid by multiplying the loan amount by the annual interest rate and the number of years in the loan term.
$50,000 * 0.05 * 3 = $7,500 in interest paid.
Then add the interest to the loan amount and divide by the number of months in the loan term.
($50,000 + $7,500) / 36 = $1,597.22
With the flat-rate method, your monthly loan payment would be just under $1,600.
Reducing-balance method example:
First, we’ll find the monthly interest rate:
0.05 / 12 = 0.0042
Then we’ll apply all of the variables to our formula:
EMI = 50,000*0.0042(1 + 0.0042)36 / [(1 + 0.0042)36 – 1]
In this case, your monthly payment would be $1,498.54. In the first month, the interest would account for $208.33 and the principal would be $1,290.21. But by month 36, interest would only be $6.22 and the principal payment would total $1,492.50.
The total interest paid using the reducing-balance method is $3,947.62. That’s $3,552.40 less than the same exact loan terms using the flat-rate method to determine your monthly payments.
Tools for EMI Calculation
It’s nice to know how to calculate EMI manually, but there are several tools online that can help you get an automatic answer. It also makes it easier to compare loan offers and different calculation methods, if you have options available.
An EMI spreadsheet formula allows you to see the amortized monthly payments spread out over each year of your loan term. An online personal loan calculator shows you basic details on your monthly payments and total interest paid. You can use an EMI or amortization calculator to compare the reducing-balance method.
These tools are also helpful in comparing different types of debt, like whether it’s better to pay off a revolving credit card balance at a certain pace or use a debt consolidation loan to get on a fixed repayment schedule.
Recommended: What Is a Personal Loan?
The Takeaway
Equated monthly installment (EMI) is a type of payment borrowers make on an installment loan, such as an auto loan, student loan, or mortgage. Payments are spread out in equal amounts over the life of the loan.
The amount of interest you pay will depend on whether you use the flat-rate method or reducing-balancing method. With the flat-rate method, the interest is spread equally over the loan term. With the reducing-balance method, you pay interest based on the loan balance, which means the interest amount gradually decreases as you pay off the loan. It’s often used for home loans and many personal loans.
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FAQ
What factors are used to calculate EMI?
You’ll need a few different pieces of information to calculate EMI. For the flat-rate method, you need the loan amount, the annual interest rate, and the number of years in the loan term. For the reducing-balance method, you’ll need the loan amount, the periodic monthly interest rate, and the number of payments.
How does the loan term affect EMI?
A longer loan term can keep your monthly payments lower because the principal balance is spread out over time. But you’ll pay more in interest because the interest rate is applied to your balance over a longer period. Your EMI will be higher with a shorter loan term, but you’ll pay less in interest.
Can I use an online EMI calculator for accuracy?
Yes, an EMI calculator can help you quickly find out the payments using different loan terms. You just need to find out the methodology your lender uses to make sure it’s accurate. A reducing-balance calculator will provide you with an amortization schedule so you can see how your interest decreases during the loan term.
photocredit: iStock/Olga Shumitskaya
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