Monday, April 03, 2006

How to calculate the EMI?

Sometimes, it is little weird how some small things which is of no big deal keeps you engaged the whole day...this morning, i started to look at the formula in excel to calculate the EMI. Three variables are known : Principle amount;Rate of interest;Number of years. So, i started with the simple formula of calculating the simple interest. SI = P*N*R. Then, calculated the total amount = P + SI. Then, divide the whole thing by the number of months. Therefore, EMI = (P + SI) / (N*12). But, it did not work out for my loan amount. I started asking about it to my friends...and that is the lead for the whole lot of R&D threads. So, i searched the web with the keyword 'The EMI is calculated as...' Google returned back a tempting article in Economic Times that immediately advised me to look for the EMI Calculator in the web than to break the head to find out the formula myself. So, i refined my search as 'EMI Calculator' and got a link to Punjab National Bank page. I started using the web based EMI Calculator and everything seem to work fine. But, still, it did not solve my purpose. I kept on searching for the formula and someone found out that the 'PMT' function in excel will help. But, the quest is still not over as PMT did not return the correct EMI value...It 2:00 am in the morning and i am keep trying out my luck to build a excel form to calculate the EMI.

38 Comments:

At Sunday, July 23, 2006, Anonymous Anonymous said...

it is not an big threat or an secret mr inba.see we all would have learnt about the compounding analysis in our school days

FV=PV*R+(PMT(1+R)^N/(1+R)^N -1


we all know the at the end of the loan the value of the loan becomes zero then final value of the loan becomes zero


fv=0

then

PMT = P*R(1+R)^N/((1+R)^N -1)




PMT - installment you pay
P- principal
R is the periodic interest
say if you are borrowing a loan at 12 % then divide by 12 that will be 1% is what that should be used in this formula

N- no of installments

that is go try the EMI


the PMT formula and ur value should match it is generic formula and matches with all the values by any formulas

 
At Tuesday, June 19, 2007, Blogger Unknown said...

EMI calculation:

EMI = (p*r)(1+r)^n/((1+r)^n)-1)

p = principal (amt of loan), r = rate of interest per instalment period, i.e., if interest is 12% p.a. r = 1, n = no. of instalments in the tenure, ^ denotes whole to the power

 
At Tuesday, July 24, 2007, Anonymous Anonymous said...

please check following two links they can provide little help

http://www.esnips.com/doc/3fa08ca7-05a0-400b-ba76-34b749e8dcfd/EMI-Calculator

or

http://www.esnips.com/doc/4c77ba88-9ae7-47c9-8d02-da4d3e95e443/EMI_Calculator

 
At Thursday, September 13, 2007, Blogger LevelAccount said...

More powerful but simple excel based emi calculator which also factors in upfront fees/charges,if any and returns effective cost - useful for comparisons - www.geocities.com/accessreddy/excel

 
At Thursday, September 13, 2007, Anonymous Anonymous said...

More powerful but simple excel based emi calculator which also factors in upfront fees/charges,if any and returns effective cost - useful for comparisons - www.geocities.com/accessreddy/excel

 
At Thursday, March 20, 2008, Blogger naadal said...

Bright, Just hit your blog by searching EMI calculaion....
Nice to see you here....
Rgds,
Saravana Bhavan

 
At Wednesday, May 07, 2008, Anonymous Anonymous said...

Thanks for your blog. There are also online EMI calculators(See www.liveatease.com

 
At Sunday, May 11, 2008, Anonymous Anonymous said...

Dear All,
I tried to calculate the EMI using the below mentioned formula
EMI = (p*r)(1+r)^n/((1+r)^n)-1)
But i could not get the correct answer, plz help me out by explaining it with an example(taking values).........

 
At Sunday, May 11, 2008, Anonymous Anonymous said...

Dear All,
I tried to calculate EMI using below mentioned formula
EMI = (p*r)(1+r)^n/((1+r)^n)-1)
But i could not get the correct answer, plz help me out by explaining with an example(say taking values of p=100000,r=12% i.e. 1% and n=24)

 
At Tuesday, June 24, 2008, Anonymous Anonymous said...

Try try the excell sheet at http://www.liveatease.com/FunEase/ShareEase/tabid/234/Default.aspx to see how you can easly do this using excell

 
At Wednesday, June 25, 2008, Anonymous Anonymous said...

Thanx for this problem

 
At Saturday, June 28, 2008, Blogger abhiirich said...

i cudnt calculate the emi
show me this calculation

Loan Amount 35000
EMI 1851
Period 3yrs / 36 months

PLEASE GIVE EXPLANATION FOR ANY OF THE FORMULA

u can mail me abhiirich@gmail.com

awaiting ur response
thnx

 
At Friday, August 01, 2008, Anonymous Anonymous said...

guys, check this

http://www.indinv.com/index_files/Page298.htm

it shows how the formula is derived.

 
At Sunday, September 07, 2008, Anonymous Anonymous said...

(100000*0.01((1+0.01)^24))/(((1+0.01)^24)-1)
. The answer is 4707

 
At Sunday, September 07, 2008, Anonymous Anonymous said...

(100000*0.01(1+0.01)^24)/((1+0.01)^24)-1

The answer is 4707

 
At Monday, September 08, 2008, Blogger Unknown said...

Use this one to calculate and see below to determine the correct value of R
PMT = P*R(1+R)^N/((1+R)^N -1)




PMT - installment you pay
P- principal
R is the periodic interest
say if you are borrowing a loan at 12 % then R = 12/(12X100)= 0.01 & N- no of installments

 
At Wednesday, October 15, 2008, Anonymous Anonymous said...

If the rate of interest is 12%
r should be equal to 0.01 and not 1.
verify your answer by using Excel function PMT.
e.g. =PMT(12%/12,120,100000)
or =PMT(0.01,120,100000)

 
At Tuesday, November 18, 2008, Anonymous Anonymous said...

you might ot be dividind the rate by 100...we do this because its int the form of a percentage..

 
At Sunday, December 14, 2008, Blogger Unknown said...

This may sound stupid but, I wanted to know how to calculate how much interest you are paying for a loan. With the methods given I keep getting different answers.

Loan Amount*3,50,000
EMI Paid - 8,008
Tenure - 60 Months

 
At Thursday, January 22, 2009, Anonymous Anonymous said...

http://www.hughchou.org/calc/formula_deriv.html

check this

 
At Monday, February 16, 2009, Anonymous Anonymous said...

Hi all,
Had tried out the EMI calculation and don mistake me that, i am new to these type of calculations and could u pls say me y we r using the r value as r=1% but rate of interest is 12%.. And pls explain me with an example...

Thank you..

 
At Friday, February 20, 2009, Blogger CA SANTHI said...

MY LOAN AMOUNT IS 480000.TAKEN ON 01-01-2009.RATE OF INTEREST IS 5%.REPAYABLE STARTS FROM 01-01-2010,TILL 01-01-2010 ONLY INTEREST TO BE ADDED TO THE PRINCIPLE AMOUNT.WHAT IS MY EMI FROM 01-01-2010.

 
At Saturday, April 25, 2009, Anonymous Anonymous said...

I feel the formula cannot calculate EMI if Installment is monthly and compounding is on , say, quarterly. Could someone explain?

 
At Monday, May 04, 2009, Anonymous Avi said...

Following link contains EMI Calculator and also displays EMI calculation Formula:

http://www.etechplanet.com/tools/EMI-Calculator.aspx

 
At Wednesday, July 08, 2009, Blogger Rinku Karda said...

Sir I am also searching for EMI formula , If u get it then plz let me know.If I then I will send it to u.

 
At Wednesday, July 08, 2009, Blogger Rinku Karda said...

Sir I am also doing searching of EMI , If u get it then plz let me know n if I ,Then send u.

 
At Sunday, November 08, 2009, Blogger badjal said...

how can a simple calculator be used to calculate EMI, can someone throw light on it? esp with long tenure of say 72 or 84 months

 
At Monday, November 30, 2009, Blogger venkat said...

EMI = (p*r)(1+r)^n/((1+r)^n)-1)

From given EMI calculation formula, Can anyone help me to deduce a formulae for Calculating R from the EMI expression.

 
At Thursday, January 07, 2010, Blogger Unknown said...

EMI=((Loan amt*rate%*no of yrs)+(loan amt))/(no of months to pay)

 
At Sunday, February 21, 2010, Anonymous Anonymous said...

Good dispatch and this post helped me alot in my college assignement. Thanks you seeking your information.

 
At Friday, September 09, 2011, Blogger Amit said...

You can calculate the monthly payment on your loan easily using the EMI calculator at http://www.emicalculator.in

 
At Tuesday, January 03, 2012, Anonymous Anonymous said...

There are 3 of EMI Calculators
Download 3 Types of EMI Calculators: http://emicalculator3types.blogspot.com/
Formula for Calculate EMI is:
p x (((i/12) + 100)/100)^t
________________________________________________________________________
1 + (((i/12) + 100)/100) + (((i/12) + 100)/100)^2 + ——— + (((i/12) + 100)/100)^t-1
Where:
P is Principal
I is Rate of Interest per Annam
T is Tenure

 
At Tuesday, January 03, 2012, Anonymous Anonymous said...

There are there 3 of EMI Calculators
Download 3 Types of EMI Calculators: http://emicalculator3types.blogspot.com/
Formula for Calculate EMI is:
p x (((i/12) + 100)/100)^t
________________________________________________________________________
1 + (((i/12) + 100)/100) + (((i/12) + 100)/100)^2 + ——— + (((i/12) + 100)/100)^t-1
Where:
P is Principal
I is Rate of Interest per Annam
T is Tenure

 
At Thursday, April 18, 2013, Blogger Unknown said...

Though the formula used for calculating EMI in excel sheet is not so much useful.However with the availability of various tolls and calculators various tools like EMI calculator, it is very easy to calculate EMI.With the help of Emi you can calculate EMI on every loan like personal loan and other loans.You said you searched for Emi Calculator and it was not useful, probably you must not have operated it well or the calculator must be wrong. You can use EMI Calculator on Dialabank.com

 
At Wednesday, February 05, 2014, Blogger Unknown said...

EMI Calculator helps you to check your home loan EMI within seconds. You can check it with 'EMI = P * ( i / ( 1 - (1+i)^(-12*N)))' formula or else there are many online tool where you just have to put your details and you will get exact amount you have to pay

 
At Wednesday, February 05, 2014, Blogger Unknown said...

EMI Calculator helps you to check your home loan EMI within seconds.
You can check your emi by formula or else there are many easy to use and acute EMI Calculator online.

 
At Sunday, March 09, 2014, Blogger Unknown said...

Now a days, you may find so many online tools to calculate EMi's. You could be wrong manually, but these tools which as known as EMI calculators are the best and error-free. You should check out these Personal Loan EMI calculator before you take a loan in India, as this is the most efficient tool I have found online.

 
At Thursday, December 03, 2015, Blogger Unknown said...

Hi, good and easy formula for EMI Calculation. Thanks for sharing Home Loans EMI Calculator.

 

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