What Is an Equated Monthly Installment (EMI)?
An equated monthly installment (EMI) is a fixed payment amount made by a borrower to a lender at a specified date each calendar month. Equated monthly installments are applied to both interest and principal each month so that over a specified number of years, the loan is paid off in full. In the most common types of loans—such as real estate mortgages, auto loans, and student loans—the borrower makes fixed periodic payments to the lender over several years to retire the loan.
Key Takeaways
- An equated monthly installment (EMI) is a fixed payment made by a borrower to a lender on a specified date of each month.
- EMIs are applied to both interest and principal each month so that over a specified time period, the loan is paid off in full.
- EMIs can be calculated in two ways: the flat-rate method or the reducing-balance method.
- The EMI reducing-balance method generally is more favorable for borrowers, as it results in lower interest payments overall.
- EMIs allow borrowers the peace of mind of knowing exactly how much money they will need to pay each month toward their loan.
How an Equated Monthly Installment (EMI) Works
EMIs differ from variable payment plans, in which the borrower can pay higher amounts at his or her discretion. In EMI plans borrowers are usually only allowed one fixed payment amount each month.The benefit of an EMI for borrowers is that they know precisely how much money they will need to pay toward their loan each month, which can make personal budgeting easier. The benefit to lenders (or investors the loan is sold to) is that they can count on a steady, predictable income stream from the loan interest.
The EMI can be calculated using either the flat-rate method or the reducing-balance (aks the reduce-balance) method.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. The EMI reducing-balance method is calculated using this formula:EMI = P * [( r * (1 + r)^n)) / ((1 + r)^n - 1)]
where:
P = Princiapl amount borrowed
r = Periodic monthly interest rate
n = Total number of monthly payments
Examples of Equated Monthly Installment (EMI)
To demonstrate how EMI works, let's walk through a calculation of it, using both methods. Assume an individual takes out a mortgage to buy a new home. The principal amount is $500,000, and the loan terms include an interest rate of 3.5% for 10 years. Using the flat-rate method to calculate the EMI, the homeowner's monthly payments come out to $5,625, or ($500,000 + ($500,000 x 10 x 0.035)) / (10 x 12). Using the EMI reducing-balance method, monthly payments would be approximately $4,944.29, or $500,000 * [(0.0029 * (1 + 0.0029)^120) / ((1 + 0.0029)^120 - 1)].Note that in the EMI flat-rate calculation, the principal loan amount remains constant throughout the 10-year mortgage period. This suggests that the EMI reducing-balance method may be a better option because the dwindling loan principal also shrinks the amount of interest due. In the flat-rate method, each interest charge is calculated based on the original loan amount, even though the loan balance outstanding is gradually being paid down.