# What is EMI?

Money

Share EMI or Equated Monthly Instalment is a fixed amount of money paid by a borrower to a lender every month at a specified date to pay off a loan in a given time period.

## What are the factors that decide an EMI?

EMI is dependent on the following factors.

• Principal - the amount borrowed
• Rate of Interest
• Tenure of the loan

An EMI is made up of a certain amount of the Principal borrowed and a certain amount of Interest.

EMI = Interest Component + Principal Component

The first EMI has the highest interest component and lowest principal component.

With every instalment, the interest component decreases and principal component increases.

The last EMI has the lowest interest component and highest principal component.

## Can EMI change?

Yes. Some of the factors that can change the monthly EMI are as follows.

• Partial payment of the EMI.
• Failing to pay the EMI on the due date

## EMI Formula

Following is the formula to calculate EMI.

``````
r (1 + r)n
EMI = P . --------------
(1 + r)n - 1

``````

Where, `P` is the Principal (money borrowed).

`n` is the total number of payments. If loan taken from 2 years and EMI is paid monthly then, `n = 2 x 12` i.e. `n = 24`.

`r` is the interest rate divided by 100.

If EMI is paid once a year and rate is 10.5% p.a. then, `r = 10.5/100` i.e. `r = 0.105`.

If EMI is paid every month and rate is 10.5% p.a. then, ` r = 10.5/(100x12)` i.e. `r = 0.00875`.

## EMI Example

Let's say Tom borrowed INR 100,000 from a Bank at 10% rate of interest. He agreed to pay the loan in 12 monthly instalments.

So, Tom will pay INR 8,791.59 as monthly EMI.

### Summary:

 Principal (loan borrowed) 100,000 Extra amount paid 5,499.06 Amount Returned 105,499.06

We can see that Tom pays INR 5,499.06 as interest.

### EMI payment summary

Instalment # EMI Amount Returned
1 8,791.59 8,791.59
2 8,791.59 17,583.18
3 8,791.59 26,374.77
4 8,791.59 35,166.35
5 8,791.59 43,957.94
6 8,791.59 52,749.53
7 8,791.59 61,541.12
8 8,791.59 70,332.71
9 8,791.59 79,124.3
10 8,791.59 87,915.89
11 8,791.59 96,707.48
12 8,791.59 105,499.06
TOTAL 105,499.06