Pradeep Sharma left a comment the other day about how he had set up a recurring deposit with ICICI Bank and how the final amount he was calculating was different from the amount that the ICICI Bank representative told him.

That difference was due to the fact that while he was compounding interest monthly, banks usually compound interest quarterly and that’s why he was getting a different answer.

Paresh responded to that comment telling him what caused the difference, and when I looked at the response, I thought I’d add to it by providing a link to how interest on recurring deposits (RDs) are calculated.

I was surprised to see that while there were quite a few recurring deposit calculators, there were hardly any explanations and the few that existed were really very short explanations on how interest on RD was calculated.

So, I decided to give it a try myself, and it took me an embarrassingly long time and several mistakes to do that even though the concept is very simple.

## Understand Compound Interest To Understand Recurring Deposit Interest

When you create a RD for Rs. 10,000 for 2 years, what you’re doing is depositing Rs. 10,000 with the bank every month for 24 months, and the bank pays you interest on Rs. 10,000 for 2 years compounding it quarterly, then for the next Rs. 10,000 it pays you interest for 23 months, and so on and so forth.

Banks usually compound interest quarterly, so the first thing is to look at the formula for compound interest.

That formula is as follows:

A formula for calculating annual compound interest is

Where,

- A = final amount
- P = principal amount (initial investment)
- r = annual nominal interest rate (as a decimal, not in percentage)
- n = number of times the interest is compounded per year
- t = number of years

In your recurring deposit, you use this formula to calculate the final amount with each installment, and at the end of the installments, you add them all up to get the final amount.

## Think of RD Installments and Series of Principal Payments

Let’s take a simple example to understand this – suppose you start a recurring deposit for Rs. 47,000 per month for 2 years at 8.25% compounded quarterly. If you were to see this number as a standalone fixed deposit that you set up every month for 24 months, you could come up with a table like I have here. Before you get to the table, here is a brief explanation on the columns.

**Month:**First column is simply the Month.**Principal (P):**Second column is P or principal investment which is going to be the same for 24 months,**Rate of Interest (r)**: r is going to 8.25% divided by 100.**1+r/n:**In our case, n is 4 since the interest is compounded quarterly, and 1+r/n is rate divided by compounding periods.**Months Remaining**: This is simply how far away from 2 years you are because that’s how much time your money will grow for.**Months expressed in year:**I’ve created a column for Months expressed in a year since that makes it easy to do the calculation in Excel.**nt:**4 multiplied by how many months are remaining as expressed in year.**(1+r/n)^nt**: Rate of interest raised by the compounding factor.**Amount (A)**: Finally, this is the amount you if you plug in the numbers in a row in the compound interest formula.

So, Rs. 47000 compounded quarterly for 2 years at 8.25% will yield Rs. 55,338.51 after two years. The last row contains the grand total which is what the RD will yield at the end of the time period.

Month |
P |
r |
1+r/n |
Months remaining |
Months expressed in year |
nt |
(1+r/n)^nt |
A |

1 |
47000 |
0.0825 |
1.020625 |
24 |
2 |
8.00 |
1.18 |
55338.51 |

2 |
47000 |
0.0825 |
1.020625 |
23 |
1.916666667 |
7.67 |
1.17 |
54963.21 |

3 |
47000 |
0.0825 |
1.020625 |
22 |
1.833333333 |
7.33 |
1.16 |
54590.45 |

4 |
47000 |
0.0825 |
1.020625 |
21 |
1.75 |
7.00 |
1.15 |
54220.22 |

5 |
47000 |
0.0825 |
1.020625 |
20 |
1.666666667 |
6.67 |
1.15 |
53852.50 |

6 |
47000 |
0.0825 |
1.020625 |
19 |
1.583333333 |
6.33 |
1.14 |
53487.27 |

7 |
47000 |
0.0825 |
1.020625 |
18 |
1.5 |
6.00 |
1.13 |
53124.53 |

8 |
47000 |
0.0825 |
1.020625 |
17 |
1.416666667 |
5.67 |
1.12 |
52764.24 |

9 |
47000 |
0.0825 |
1.020625 |
16 |
1.333333333 |
5.33 |
1.12 |
52406.39 |

10 |
47000 |
0.0825 |
1.020625 |
15 |
1.25 |
5.00 |
1.11 |
52050.97 |

11 |
47000 |
0.0825 |
1.020625 |
14 |
1.166666667 |
4.67 |
1.10 |
51697.97 |

12 |
47000 |
0.0825 |
1.020625 |
13 |
1.083333333 |
4.33 |
1.09 |
51347.35 |

13 |
47000 |
0.0825 |
1.020625 |
12 |
1 |
4.00 |
1.09 |
50999.12 |

14 |
47000 |
0.0825 |
1.020625 |
11 |
0.916666667 |
3.67 |
1.08 |
50653.24 |

15 |
47000 |
0.0825 |
1.020625 |
10 |
0.833333333 |
3.33 |
1.07 |
50309.72 |

16 |
47000 |
0.0825 |
1.020625 |
9 |
0.75 |
3.00 |
1.06 |
49968.52 |

17 |
47000 |
0.0825 |
1.020625 |
8 |
0.666666667 |
2.67 |
1.06 |
49629.63 |

18 |
47000 |
0.0825 |
1.020625 |
7 |
0.583333333 |
2.33 |
1.05 |
49293.05 |

19 |
47000 |
0.0825 |
1.020625 |
6 |
0.5 |
2.00 |
1.04 |
48958.74 |

20 |
47000 |
0.0825 |
1.020625 |
5 |
0.416666667 |
1.67 |
1.03 |
48626.71 |

21 |
47000 |
0.0825 |
1.020625 |
4 |
0.333333333 |
1.33 |
1.03 |
48296.92 |

22 |
47000 |
0.0825 |
1.020625 |
3 |
0.25 |
1.00 |
1.02 |
47969.38 |

23 |
47000 |
0.0825 |
1.020625 |
2 |
0.166666667 |
0.67 |
1.01 |
47644.05 |

24 |
47000 |
0.0825 |
1.020625 |
1 |
0.083333333 |
0.33 |
1.01 |
47320.93 |

Final Amount |
12,29,514 |

I’ll be the first one to admit that this is not a very intuitive way to either explain or understand recurring deposits calculation, but this is the only way I could write which seemed to convey the calculation comprehensively.

If you have any questions or have links to better ways to explain this then please leave a comment!

Thanks a lot – you saved me lot of work!

There is not much data available on the formula for calculating recurring post.

Naresh deposited rp 2000 at the beginning of every month in a bank for 5 year.the rate of interest is 12? compounded monthly. The accumulated amount at the end of 5 years will be?

Actually answer is 164973 I have want to know the method of calculate, pls help me to resolve

How to calculate RD account

for calculating RD 1 formula is there

MV= Pn+Pn(n+1)RT/2×100

for T the value is fixed T=1/12

now the formula will be,

MV=Pn+Pn(n+1)R×1/2×100×12

You have to find only the missing term

e.g.

Anil opened aRD account in a bank and diposited Rs.400 per month for 3 years if he recevied Rs.15732 at the time of maturity find the rate of intrest per annum.

MV=Rs.15732(its written recivied or get)

P=Rs.400

n=3years

=3×12

=36(n will be always in months)

R= the missing term

now putting the formula

=MV=Pn+Pn(n+1)R×1/2×100×12

=15732=400×36+37×R×1/2×100×12

=by solving we get,

=15732=14400+222R

Moving the R to LHS we get,

=222R= 15732-14400

222R=1332

R=1332/222

R=6 .ans

The Rate of interest will be 6%

A recurring deposit of Rs. 5000 per month for 12 installments will grow to ______ at the

end of 12 months for the given nominal interest rate of 12 percent, but compounded

monthly (consider deposit being done on the last day of the month and also accrual of

interest being calculated on the last day of the month).

How do calculate Recurring deposit?

Please provide the formula and explain

Example: Each month Paying 4200 in 1year and interest rate 6.85 %

I have monthly deposite 500 in recuring account 8% intrest

How many get intrest amount

How caculate

Naresh deposited rp 2000 at the beginning of every month in a bank for 5 year.the rate of interest is 12? compounded monthly. The accumulated amount at the end of 5 years will be?

Actually answer is 164973,

I want to know the method of calculation, pls help me to resolve

i am much impressed by the answer and the method i.e formula

Mr.A invested Rs.400000 in post office MIS and the proceedings from this investment is directly transferred to post office RD. How much amount will he get after maturity?

Please mail the formula for calculating interest on Recurring deposit on quarterly compounding method as being practice in banks.

@bemoneyaware: Here is the formula to calculate-

http://interestcalculations.blogspot.com/2016/08/formula-for-total-maturity-amount-with.html

And here is how it’s calculated-

http://interestcalculations.blogspot.com/2016/08/deriving-formula-for-total-maturity.html

You are a saviour. I was procarstinating about doing this calculation from so long. 🙂 Thanks 🙂

I should have created a Google Spreadsheet or something and that would have made your life a bit simpler too!

A spreadsheet [XLS] that’s downloadable would be super helpful for lazibones like me! 😉

The link to the calculator is far more useful than my excel since that calculator gives you the number ready, and in my sheet you have to make a lot of changes if your term is different, compounding is different etc.

You can download it from here- http://interestcalculations.blogspot.com/

Worth reading, analyzing and making others aware:

http://ftalphaville.ft.com/blog/2012/03/30/944431/indias-economic-monsoon/

Absolutely right Ankur – I have a post in my drafts about this as soon as the report came out but didn’t publish it yet because I’m simplifying it and adding more data, but I will definitely link to this article in my weekend post. Thanks for leaving this comment here and bringing it up.

Oops!!! My apologies – Ankush!

thanks a lot for this article, it would be great if you include the tax implication of the same.

Prashant,

The interest earned through RD will be included in your income and will be taxed. There is no tax exemption for RD.

Manshu, thanks for the good post.

Thanks for the response Vimal – the one thing I’ve heard differing opinions on is when should the tax be paid. Should it be paid every year since the income is accruing every year (even though it’s not getting paid) or should it be paid at the end of the RD term when the person actually gets the money. What are your thoughts?

Thanks!

When it comes to paying taxes on the interest earned there always is this question whether to pay it on per year basis or directly on maturity. The point here to be noted is that when you pay on a per year basis you end up paying a small tax amount only on the interest earned during that particular year, whereas when you think of paying it on maturity you may end up paying some more tax because the whole interest amount accrued over the period would add to your annual income and may end up moving your taxable income in the next higher tax slab and that really makes a good difference when the interest amount is higher, just consider for eg. you earn a total of 25K as only interest may be the same is from KVP / NSC / FD / RD.

Thanks for the point Rupesh – so the laws allow you to choose which one to do? pay tax now or pay tax later? That’s what I’m not so clear about whether both are okay or not, people have said that they have chosen either option but I’m not sure whether there is any official guidance on this.

I guess there isn’t a choice that you could make to pay on a y-o-y basis or on cumulative int. earned for the period. The Bank that holds your RD would certainly book the interest earned by you during an FY (without paying you) and include it as part of their interest payouts and that eventually gets reflected in your 26AS. This also gets reflected in the Interest paid statement that the bank gives you for each FY.

So it is always…….interest earned during an FY is included in the total income for the FY from tax purposes irrespective of the length of the investment.

It is a sum of a Geometric Progression (GP).

I use this formula for monthly deposits.

P=monthly installment, r = rate %, y=no.of years, n=12*y, R=1+(r/1200)

A= P*(R)*(R^n-1)/(R-1)

For derivation, look at your +1 Maths book

Thanks – I need to look this up and I must admit it didn’t occur to me at all to use GP. Thanks for bringing this up.

Nice post Manshu.

Thanks!

Thanks for the info which gave a different approach…..RD from the point of view of FD….it was helpful. And i like your eagerness to make people understand in a easy way.

Thanks Ramya – this was certainly one way, but perhaps doing it through geometric progressions as said in comments is better. I will have to look at that and see if this can be further simplified.

Manshu,

I also think that this logic [considering the individual installment as Fd / calculating the interest for a period for each deposit/ sum it up] is not a true representation of recurring deposit..

I have one RD at IDBI bank with interest rate of 8.6% ..just I check the deposit schedule which I found for first few installments as below:

Payment Type Date Amount Paid Balance

Installment 03/01/2011 2000/- 2000/-

Installment 03/02/2011 2000/- 4000/-

Installment 03/03/2011 2000/- 6000/-

Installment 03/04/2011 2000/- 8000/-

INTEREST 03/04/2011 86 /- 8086/-

Installment 03/05/2011 2000/- 10,086/-

Installment 03/06/2011 2000/- 12,086/-

Installment 03/07/2011 2000/- 14,086/-

INTEREST 03/07/2011 216/- 14302/-

Installment 03/08 2000/- 16302/-

AND SO ON………………

I tried few things for my blog but not able to fit any formula …..

just check,, I think you will be….

Just for more elaboration:

In above deposit schedule,I just fail to understand how interest of Rs.86 credited on 03/04/2011 or Rs 216/- credited on 03/07/2011…..

My feeling is that there is something which is on the shorter sight only but not able to find…..

You didn’t mention why you think that way Paresh – is it just a feeling or something more than that? I’m convinced that this is accurate and don’t feel compelled to relook at it unless you can give some numbers or something else more concrete to show it’s inaccurate.

Ohhh,please don’t misunderstood me…really sorry if you feel bad..

I have never mean that you are inaccurate….

I have tried to present the numbers from my IDBI RD account…where I do not understand the logic that how they calculate the interest flow….thats what I was looking for.

No, no, no, I didn’t misunderstand or feel bad and you certainly don’t need to say sorry but I was asking more in terms of what I should look for if I have to see whether there is an error or not. I didn’t realize that the RD numbers were for that purpose alone. I’ll look at the RD numbers.

Sorry for the miscommunication.

Thanks for that.

What I was looking for is actually available in your post and work ….

Just able to solve the calculation of deposit schedule.

Have tried a deposit schedule for above particular case also:

Payment Type– Rs.——– A/C.Balance

1)Principle——>47000 —— 47000

2)Principle——>47000——- 94000

3)Principle——>47000——- 141000

4)Principle——>47000——–188000

5)INTEREST——- 3231.28——191231.28

6)Principle——>47000——–238231.28.

7)Principle——>47000 ——-285231.28

8)Principle——->47000——-332231.28.

9)INTEREST——–5878.50—–338109.78

10)Principle—–>47000——-385109.78

11)Principle—–>47000——-432109.78

12)Principle—–>47000——-479109.78

13)INTEREST—— 8907.87—–4,88017.65

14)Principle—–>47000——-535017.65

15)Principle—–>47000——-582017.65

16)Principle—–>47000——-629017.65

17)INTEREST—— 11999.71—-641017.36

18)Principle—–>47000——-688017.36

19)Principle—–>47000——-735017.36

20)Principle—–>47000——-782017.36

21)INTEREST——-15155.33—-797172.69

22)Principle—–>47000——-844172.69

23)Principle—–>47000——-891172.69

24)Principle—–>47000——-938172.69

25)INTEREST——-18376.04—-956548.73

26)Principle—–>47000——-1003548.73

27)Principle—–>47000——-1050548.73

28)Principle—–>47000——-1097548.73

29)INTEREST——-21663.17—-1119211.90

30)Principle—–>47000——-1166211.90

31)Principle—–>47000——-1213211.90

32)INTEREST——-16301.72—-1229513.62

Please do not get confused with serial Number.

Serial number 32 is a flow serial number…do not represent the number of month…

Date of interest addition and installment on that date will be same..Total period is 24 months.

Hi Paresh, how did you calculate Interest at every interval?

Its quite a simple riddle:

Actually on 03/01/2011: Your final amount was 2000

And on 03/02/2011: Your final amount was 2000+2000=4000

And on 03/03/2011: Your final amount was 6086(With Interest)

And on 03/04/2011: Your final amount was 6086+2000=8086

And on 03/05/2011: Your final amount was 8086+2000=10086

And on 03/06/2011: Your final amount was 10086+2000=12302(With Interest)

And on 03/07/2011: Your final amount was 12302+2000=14302

And on 03/08/2011: Your final amount was 14302+2000=16302

And so on..

Hopefully,you got what i wanna convey.. everything is right but you or the authorities just misplaced the dates/entries in the final statement..

Any doubts,will be happy to clear it..!!

Dear Paresh bhai,

Here is an attempt from myside to decode the RD interest piece. Here are basic premises:

1. The bank makes 2 entries in every 4th month i.e. interest for previous 3 months and monthly deposit of 4th month’s principal.

2. The interest concept can be simply understood in this way:

Interest as of any particular month will be simple interest accumulated on an amount till that month. Hence, in April’11, Jan’11 deposit will fetch interest for 3 months, FEb’13 deposit for 2 months and Mar’13 for 1 month. Together, this interest can be calculated as AP of 3+2+1 i.e.. (n*(n+1)/2)

3. Bank however credits this interest in 4thh month in line with concept explained by Manesh bhai. However, fresh interest credited in every 4th month is total interest accumulated on all principals of every month minus interest already credited to account holder.

4. I hv mentioned entry no. to bring clarity to all.

Entry No. Date of transaction Month count Deposited Money Balance Interest due till date Interest being credited account Balance

1 3-Jan-11 1 2000 2000 2000

2 3-Feb-11 2 2000 4000 4000

3 3-Mar-11 3 2000 6000 6000

4 3-Apr-11 3 86 86 6086

5 3-Apr-11 4 2000 8000 8086

6 3-May-11 5 2000 10000 10086

7 3-Jun-11 6 2000 12000 12086

8 3-Jul-11 6 301 215 12301

9 3-Jul-11 7 2000 14000 14301

10 3-Aug-11 8 2000 16000 16301

11 3-Sep-11 9 2000 18000 18301

12 3-Oct-11 9 645 344 18645

13 3-Oct-11 10 2000 20000 20645

14 3-Nov-11 11 2000 22000 22645

15 3-Dec-11 12 2000 24000 24645

16 3-Jan-12 13 1118 473 25118

17 3-Jan-12 13 2000 26000 27118

18 3-Feb-12 14 2000 24000 29118

19 3-Mar-12 15 2000 28000 31118

20 3-Apr-12 16 1720 602 31720

21 3-Apr-12 16 2000 30000 33720

22 3-May-12 17 2000 26000 35720

23 3-Jun-12 18 2000 32000 37720

24 3-Jul-12 19 2451 731 38451

25 3-Jul-12 19 2000 34000 40451

26 3-Aug-12 20 2000 28000 42451

27 3-Sep-12 21 2000 36000 44451

28 3-Oct-12 22 3311 860 45311

29 3-Oct-12 22 2000 38000 47311

30 3-Nov-12 23 2000 30000 49311

31 3-Dec-12 24 2000 40000 51311

32 3-Jan-13 25 4300 989 52300

Hope this helps.

what is the percentage that you have taken ? could u please tell if you dont mind and give the illustration for the first three month i mean the working thank you…

Hi,

Really greatful for your detailed & precise explaination…I was brainstorming on the calculation along with my frens since yesterday & could find no way of reaching the correct answer.

Your hard work has made me happy & got to learn a lot of things in the course of trial & error.

Kudos to u & ur effort..keep up the good work.

Thanks 🙂

Is RD interest taxable? Do reply me soon 🙂

Yes,RD interest is taxable like FDR interest.

I wish to ask the same question you can reply me on either of the 2 IDs !!!

Is RD interest taxable ? Do reply me soon

Yes, Fully Taxable. Interest accrued from RD / FD adds to the annual income & an individual is liable to pay tax on the same.

There is a simple formula for calculating future value (accumulated amount) of a recurring deposit:

FV = A *{[ (1+i)^n] -1}/i

FV = future value

A = Recurring deposit amount

i= interest rate

n = period

sir, my question is how to calculate the interest if i am depositing money annually.

like i pay my premiums to the life insurance company annually 10000. so say after 10 years how can i calculate the interest. let rate of interest be according to the market rates.

please explain the process n the formula.

Here is a good post that explains how to do this with a video tutorial, I think this post will answer all your questions.

http://www.jagoinvestor.com/2011/02/calculate-insurance-policies-returns-video.html

thanks sir.. clear concept

One subtle point is that it is important to know which 2 years the deposit is taken on. That is, the date of deposit could alter the final amount a little bit. For example, a 2-year deposit taken on 1-Feb-2012 will end on 1-Feb-2014 and will have a total of 731 days (2012 being a leap year) for which interest will have to be accrued, whereas a 2-year deposit taken on 1-Feb-2013 ending on 1-Feb-2015 will accrue interest on 730 days only.

In essence, the payment frequency a.k.a number of days between each actual payment period (monthly in your example) will determine the interest amount for that period and the sum of all those amounts for the tenure will yield the final deposit amount.

Thanks for bringing that up BV.

i’ll get rs 1.44 lacs by investing rs 1500 p.m for 5yrs.i would like to know what is the interest i am getting?and i dnt knw how many times interest is compounding in a year u can assume once in a year.

interest i mean rate of interest.

Around 18%.

Can u please explain hw u calc ? Any Formula ?

thanks.

Hi Manshu,

Nice post!

I did lots of r&d to achieve this but unfortunately i couldn’t make it. You save lots of my time. Really appreciate your hard work.

Even I was looking Fixed Deposits. I am not sure whether we already have it. Pls let me know your view if possible.

Thx,

Satya

Guys can you help me out with a formula for PPF where i would be depositing Rs 50000 on anually basis for 15 years what would be amount at maturity…. Calculated manually but if you guys can help me out with formulla that would be a real help….

The calculator at PPF calculator might be of help!

Hi Manshu,

I am a regular reader of your blog and subscribe through google reader. I have recently opened a RD in icicibank.com and I’d like to show you how the bank is cheating/earning interest while we fail to earn interest.

Step1: Click on Open a fixed deposit/recurring deposit

Step2: Open the RD form. You’ll notice a form very similar to this:

https://dl.dropbox.com/u/34070124/iciciRD.jpg

I have highlighted the most important note10. I had opened the RD on 28th September and chose the date as 1st of every month.

Now, this is what happens. The first installment was debited on 28th and the second one was debited on 1st of October. But, the money debited from my savings account for the second installment was not credited into my RD. I think it would be credited on 28th.

I checked my RD account and it shows the maturity date as 28th June 2013 and checked the amount. The amount and the date are correct. But, what is really happening here is that the amount which is debited on 1st does not fetch any interest until 28th of every month, which essentially means almost one entire month.

I could have chosen a better way, that is the date on which I am opening the RD as the date to debit the account from.

I felt completely cheated by this option. This date option is just like locking the amount until 28th and then putting in RD. This is how bank earns money in the garb of saving money for us.

I requested ICICI bank to change this option and emailed them. Let’s see. I felt this comment would be useful for a lot of readers.

In a completely unrelated note, a suggestion from my end, it will be great if you have this discussion or comments secion from http://disqus.com/ . I am not a salesperson of disqus.com, but this will help readers like me to check whatever comments I’ve made so far.

Wow! I had no idea about this! So when you contacted ICICI, they agreed that this is what was happening? It’s unbelievable! I think I’ll make this as a mini post and let others know that this is happening instead of this just being buried in comments.

Thanks a lot for sharing this.

I have once passed over Disqus because I felt that it will make OneMint dependent on availability of Disqus and I wasn’t sure if it is wise to rely on that. I think now it seems like it is fine to rely on their availability. I wish I knew how they make money…that always makes the decision easier. Thanks for the suggestion.

I am following up with ICICI bank. I’m not sure they have accepted it yet. But, I don’t think there’s any calculation mistake in my part. I have clearly put up in blogpost :

http://itooblog.wordpress.com/2012/10/04/investing-in-recurring-deposit/

I have emailed the customer care and am waiting for their reply.

After reading your blog post I understand this a little better, and realize that this happened only once at the setup. Correct?

This wasn’t clear to me earlier, it seemed like it was happening every month.

Since the amount is being debited from my savings account for every month, I should be getting interest for that. This is not one-time interest, every month I should be getting the interest. You could check out my 2nd table in the post.

But, the interest calculation is not correct. It could also be that recurring deposit calculates only based on months, the interest calculation does not consider any days.

I would like to confirm that from ICICI bank.

Hi Manshu,

I have created a blogpost out of my experience. You can check it here:

http://itooblog.wordpress.com/2012/10/04/investing-in-recurring-deposit/

Thanks.

Please tell me the formula used to calculate RD.

Hi,

Can u put the formula for one year

RD calculated annually

That is just the future value of an annuity, you can look up that formula to see how that works, but RDs are never annual. The payment is always monthly.

Thanks Manshu,

Yeah.. I know

Actually was looking for the formula to put it in my recurring deposit calculator code. I worked on it and did 🙂

Excellent – congrats!

Dear Paresh bhai,

Here is an attempt from myside to decode the RD interest piece. Here are basic premises:

1. The bank makes 2 entries in every 4th month i.e. interest for previous 3 months and monthly deposit of 4th month’s principal.

2. The interest concept can be simply understood in this way:

Interest as of any particular month will be simple interest accumulated on an amount till that month. Hence, in April’11, Jan’11 deposit will fetch interest for 3 months, FEb’13 deposit for 2 months and Mar’13 for 1 month. Together, this interest can be calculated as AP of 3+2+1 i.e.. (n*(n+1)/2)

3. Bank however credits this interest in 4thh month in line with concept explained by Manesh bhai. However, fresh interest credited in every 4th month is total interest accumulated on all principals of every month minus interest already credited to account holder.

4. I hv mentioned entry no. to bring clarity to all.

Entry No. Date of transaction Month count Deposited Money Balance Interest due till date Interest being credited account Balance

1 3-Jan-11 1 2000 2000 2000

2 3-Feb-11 2 2000 4000 4000

3 3-Mar-11 3 2000 6000 6000

4 3-Apr-11 3 86 86 6086

5 3-Apr-11 4 2000 8000 8086

6 3-May-11 5 2000 10000 10086

7 3-Jun-11 6 2000 12000 12086

8 3-Jul-11 6 301 215 12301

9 3-Jul-11 7 2000 14000 14301

10 3-Aug-11 8 2000 16000 16301

11 3-Sep-11 9 2000 18000 18301

12 3-Oct-11 9 645 344 18645

13 3-Oct-11 10 2000 20000 20645

14 3-Nov-11 11 2000 22000 22645

15 3-Dec-11 12 2000 24000 24645

16 3-Jan-12 13 1118 473 25118

17 3-Jan-12 13 2000 26000 27118

18 3-Feb-12 14 2000 24000 29118

19 3-Mar-12 15 2000 28000 31118

20 3-Apr-12 16 1720 602 31720

21 3-Apr-12 16 2000 30000 33720

22 3-May-12 17 2000 26000 35720

23 3-Jun-12 18 2000 32000 37720

24 3-Jul-12 19 2451 731 38451

25 3-Jul-12 19 2000 34000 40451

26 3-Aug-12 20 2000 28000 42451

27 3-Sep-12 21 2000 36000 44451

28 3-Oct-12 22 3311 860 45311

29 3-Oct-12 22 2000 38000 47311

30 3-Nov-12 23 2000 30000 49311

31 3-Dec-12 24 2000 40000 51311

32 3-Jan-13 25 4300 989 52300

Hope this helps.

when the deposit for the 24th month is held for one more month for maturity, then the first deposit, the interest should be for 25 months and similar for other deposits??

what is months expressed in an year? how is that calculated?

also, will this calculation help with different installments.

Basically i paid off a loan borrowed from my mom, amounts vary in a month.

I have paid off the principle. Need to calculate interest at 8% p a, compunded monthly.

please help.

Interest on loan repayment is calculated on reducing principal basis. You need to calculate due interest on due loan amount at end of every month. For compound benefit, you need to add up this interest in the due loan amount as opening balance of next month. Once payment is done, due loan amount gets reduced by paid amount and interest is calculate on balance due amount. Let me make it clear nby this example:

Let’s assume you borrowed Rs. 10,000 from your mom on 1st Jan to return within 1 year at 8% p.a. compounded monthly. I will explain reduced principal basis with 3 scenarios:

1. Simple interest: Had you paid SI, your interest payble at year end will be = 10,000 x 8% = 800 (no brainer !)

2. Compounded intrest: In logical terms, it can be calculated for 12 months as following:

Opening Balance Monthly interest Closing balance

10,000 67 10,067

10,067 67 10,134

10,134 68 10,201

10,201 68 10,269

10,269 68 10,338

10,338 69 10,407

10,407 69 10,476

10,476 70 10,546

10,546 70 10,616

10,616 71 10,687

10,687 71 10,758

10,758 72 10,830

Hence, Compound interest is 10830-10000 = 830

Also, In mathematical terms it will be 10,000 x (1+8%/12)^12 – 10000 = 830

3. Now comes Reducing principal…..Let’s assume you returned 2000 in feb, 3000 in May, 2000 in Oct and balance 3000 in Dec. I am making it not only varying amount but also irregularly paid in tranches. Let’ look at interest payble at year end:

Month Opening Balance Monthly interest Princi paid Closing balance

Jan 10,000 67 10,067

Feb 10,067 67 2000 8,134

Mar 8,134 54 8,188

Apr 8,188 55 8,243

May 8,243 55 3000 5,298

Jun 5,298 35 5,333

Jul 5,333 36 5,368

Aug 5,368 36 5,404

Sep 5,404 36 5,440

Oct 5,440 36 2000 3,476

Nov 3,476 23 3,500

Dec 3,500 23 3000 523

Hope this helps.

Sir I m depositing 25000 every month in RD I have to deposit for 10 years So pl.let me know the interest I will get every year for income tax purpose. Interest is calculated monthly.

Thanks Mukesh

Dear Mukesh,

Interest is calculated monthly but paid in the account after the quarter. Now for interest calculation, I will give you logic and then you can calculate ineterest for n years yourself.

In RD, interest on any months’ deposit is calculated on the basis of no. of months eligible for ineterest credit as on interest date. Now let’s take our Rs. 2,000 gets deposited on 1st Jan, 1st Feb and 1st Mar. Since interest will be calculated after this quarter, the calculations will be as following:

1. Interest on Jan deposit = 2,000 x 3 months (Jan till Mar) x 8.6%/12 (monthly interest)

= 43

2. Similarly, interest on Feb deposit = 2,000 x 2 months (Feb and Mar) x 8.6%/12 = 28.67

3. and interest on Mar deposit = 2,000 x 1 month (Mar) x 8.6%/12 = 14.33

Total accumulated interest = Rs. 86

Similarly, interest will be calculated after 2nd quarter i.e. Jan deposit will get interest for 6 months + Feb deposit for 5 months + ……..+ Jun deposit for 1 month = 301. This is total accumulated interest till end of 2nd quarter. But since interest (86) at end of quarter 1 was paid already, 301 – 86 = 215 will be paid as interest in the account at quarter 2.

Hope it helps.

Another interesting point, though it hasn’t discussed in this forum, is about taxability of interest from RD. Unlike other fin’l products, interest in RD a/c is taxable on annual basis, not on maturity. Bank / PO doesn’t deduct TDS or gives exemption. Hence, the net return should be calculated depending upon which tax bracket an investor is.

Hi Manshu,

Thanks for such a simplified explanation.

I was wondering if we can use the future value of an Annuity formula to arrive at the maturity amount in the case of an RD. If yes, can u please eloborate the workings of the same.

Thanks in advance

Ankith

Yes Ankith, you should be able to do that by simply multiplying time periods by 12 and dividing interest rate by 12 in the standard formula. Did you try that? I think that’s all you’d need to do.

Yea I did try it out. I think multiplying and dividing by 12 would work only when the interest is compounded monthly. As you know many of the banks compound the interest on a quarterly basis. Lets say for example I invest INR 2000 per month for the next 24 months and if i calculate in excel as expalined by you, the maturity amount would be INR 53148(Interest rate being 9.75% compounded quarterly) and when I consider the future value formula, the maturity amount would be INR 50310(after dividing the interest rate by 24 and multiplying the time period by 24).

Is there a way to use the future value of annuity formula when the interest is compounded quarterly and also supposing I pay the RD amount at the beginning of every month, shouldn’t it be considered as annuity due and not as ordinary annuity? In either case I am not getting the value that matches with the working suggested by you. Please do clarify this ambiguity.

Thanks in advance

Thanx. Its really very helpful. The calculations are exact.

thank you

I found this is really useful and I must thank you for your efforts. Can you also share a similar table for FDs. It will be really helpful.

Hi,

I have used the mentioned formula for RD calculation (Future Value) and the result also in line with the method of calculating of RD by Banks (ref: http://www.allbankingsolutions.com/Recurring-Deposit-Calculator-India.shtml) with quarterly compounding effect. But the results are in line up to 3 years (time frame), while calculating more than 3 years terms it is not matching with the result of banks.

Please let me know how could I address the issue.

I have $135 bi weekly deposits compounded bi weekly at .8%, how much money will there be in 15 years? Can you please explain how you did it too.

Thanks

If i make biweekly deposits of $135 and the interest compounds biweekly at the rate of .8% for 15 years, how much money will I have at the end of the 15 years

Thanks

How to exactly calculate Int on Recurring Deposit?

Hi,

I just found a formula for calculating the final amount using the logic provided here and thought this will be useful for you all.

A=P(1-(N^(m+1)))/(1-N) – P

May be the admin can post the formula in a more readable form. 🙂

Cheers!!!!

Sorry. I missed this in my previous comment.

There N=(1+(r/n))^(n/12)

Where n = no. of time interest is compounded per year (4 for quaterly)

And r= rate of interest as a decimal (0.08 for 8%)

Mr.Krishna,

Your formula is still not clear. What is “m”stand for your above equation” Explain with some example please.

I deposited $500per month for 2years at the rate of 8% per annum.

If so, practically,

1.I get $13,006.17 as maturity value if interest gets compounding monthly.

2.I get $13,046.11 as maturity value if interest get compounding Quarterly.

3. I get $13,036.64 as maturity value if interest get compounding half yearly.

4. I get $13,020.80 as maturity value if interest get compounding yearly.

Now solve this with your single equation(formula) which has to get the above output.

Thank you very much.

Sunil Pinto

please anyone give a eassy formula for calculating Recurring Deposit prematurity system.

P R 1+r/n Months remaining Months expressed in year nt (1+r/n)^nt A

100 0.11 1.009166 36 3 36 1.388846 138.8845599

100 0.11 1.009166 35 2.916666667 35 1.376231 137.6231065

100 0.11 1.009166 34 2.833333333 34 1.363731 136.3731106

100 0.11 1.009166 33 2.75 33 1.351345 135.1344681

100 0.11 1.009166 32 2.666666667 32 1.339071 133.9070758

100 0.11 1.009166 31 2.583333333 31 1.326908 132.6908316

100 0.11 1.009166 30 2.5 30 1.314856 131.4856343

100 0.11 1.009166 29 2.416666667 29 1.302914 130.2913835

100 0.11 1.009166 28 2.333333333 28 1.291080 129.1079798

100 0.11 1.009166 27 2.25 27 1.279353 127.9353246

100 0.11 1.009166 26 2.166666667 26 1.267733 126.7733203

100 0.11 1.009166 25 2.083333333 25 1.256219 125.6218703

can I deposit more than 10000 per month in Vrd

Interest calculation by your way does not give exact amount for Indian Banking system where monthly deposit can start any date of month and quarter ends at 30th June, 30th September, 31st December and 31st March.

For example:

P=12000 on every 2nd of month starting from 2nd April,

t=1 year,

i=9.25%

on 30th June interest=544.36

on 30th Sept interest = 1399.43

on 31st Dec interest = 2261.75

on 31st March interest = 3053.14

Total interest upto 31st March = 7258.69

As per your formula interest =7309.86

The difference is probably interest for 1 day 1st April.

Try “Everyday Calculator” App for Android for all your calculation needs. Use the Future value of Annuity calculator to find interests earned on daily/ monthly/ yearly recurring deposits. This and many more..

https://play.google.com/store/apps/details?id=com.everydaycalculation.androidapp_free

Thank you Manshu.. I made my own Excel by formula.. 🙂

great article ! let me understand one thing investing in mutual fund is better or investment in RD account ? which one i can prefer

Dear friend, RD and Mutual Funds both are avenues for investing. However, both differ in their purposes. Both have their merits and demerits. RD will give you assured returns but the same will be subject to taxation and inflation, which will both erode the final returns. Mutual Funds on the other hand may not give you assured returns,but can beat inflation and taxation. So the question is not which one is better, but what for you are investing. In the long run Mutual Funds will always give you better returns.

The maturity value of RD quarterly compounding can be calculated using simple financial function (fv) on spreadsheet. However, the rate given has to be converted to effective monthly rate using financial functions nominal and effect on spreadsheet.

Hi,

A loan of 10,00,000 is taken for 10 months. The loan amount is to be repaid in ten equal instalments of 1,00,000. The Rate of interest is 10% p.a compounded monthly. Interest will be debited in the account on the last day of the month and the same will be serviced on the same day itself, that means no overdue.

In the above situation, whether there will be any change in the total interest (and total outflow) if the interest charged is simple interest or compound interest

Thank you

Hi.. The post was really helpful in calculating the interest.

Just one query.. any idea how the ICICI iWish (Flexi-RD) interest is calculated. I am breaking my head trying to trace back how the interest deposited is calculated but cant seem to match up the figures..

Any help would be greatly appreciated.

Q. How to calculate months expressed in year (any formula or step)

Q. How to calculate rate of interest raised by compound factor?

plz explain

Quite a nice explanation ! Is it a good idea to open a recurring deposit ? I think some SIPs provide same sort of structure and better returns. However, i am not that sure to invest in Mutual Funds.

I wish to know in recurring deposit how much total amount shall i get when i am depositing 5000/ month @8% interest pa

Here is the formula,

M =R [ (1+i)^n – 1]

——————–

1- (1+i)^ -1/3

where,

M = Maturity value

R = Monthly installment

n = Number of quarters

i = Rate of interest/400

i want answer of this question.. how to calculate answer n what formula i used??

Manisha is a smart investor. She has

opened a Recurring Deposit (RD) account

with a bank. She has negotiated smartly

with the bank. Bank has agreed to vary the

interest rate on her RD account such that

she is always able to comfortably beat

inflation.

Your task is to calculate maturity value of

her RD account in face of varying interest

rates that she will enjoy.

Input Format:

First line contains principle amount P

Second line contains original rate of

interest per annum R

Third line contains tenure in months T

Next few lines contain a tuple with 3

values. Each tuple contains delimited by

whitespace, where updated _rate is applied

on From_month and To_month, both

inclusive.

-1 shows the end of input

Output Format:

Print the maturity amount after specified

tenure or month in the format

“Final_Amount ”

Constraints:

P > 0 ; it can be float value

R >=0 ; it can be float value

T >0 ; it can be integer only

Calculation should be done upto 11-digit

precision

Maturity amount should be printed to its

nearest integer value

Sample Input and Output

SNo. Input

1

5000

10

12

3 7 11

8 12 12

-1

F

2

2565.50

7.5

12

6 12 8

-1

F

3 200.75

6.9

5

-1

Not understood.

I am investing Rs 1520 for 13 months

And final amt I will get is Rs 21000.

How do I calculate the Interest.

The bank says it is 10.46%.

Pl explain to me how they got this fig of 10.46.. In simple formula method.

Satish,

If it’s quarterly cumulative then the Rate of Interest is 10.47087 % per Annum and if it’s monthly cumulative then the Rate of Interest is 10.3892 % per Annum.

It’s not easy to explain the formula, but it’s basically Reversed Engineering. I have developed a SpreadSheet that gives me Future values of Recurring Deposits by giving Monthly Contribution, Rate of Interest and No. of Years. I considered 10.46% as the Baseline Interest and fine tuned it to arrive at 10.47087% as the final answer. This was done with Quarterly Cumulative Strategy.

Similarly I did it for Monthly Cumulative Strategy to arrive at 10.3892% as the final answer.

Hope this helps.

Thanks.

Anil

Someone help me find the formula for calculating future value for RD and deposit+interest for each period is added up to the deposit of the next period. Such that if I have RD of rs 19600 and it earns interest of rs30,my next principal amount will be 19600+30+19600

With havin so much content do you ever run into any problems of plagorism or copyright infringement?

My website has a lot of exclusive content I’ve either created myself

or outsourced but it looks like a lot of it is popping it up

all over the web without my authorization. Do you know any techniques to help prevent content

from being ripped off? I’d really appreciate it.

What will be the calculation if it is compounded monthly or half-yearly, need help

For RD account, is it better to open in a Private bank or Government bank?

I also heard Post office is giving a good rate of interest.

I’m confused where to open the account. Please help!

Why are you calculating interest monthly?

For RD, interest calculation done on after every 3 months.

Please advise as to what will be the interest rate yearly on depositing Rs.50000 pa for 5 years giving a gross return of Rs 350000. and how it is calculated.

I have started a rd on 8-9-2018 for 50000 ,rate of interest is 6.6, and the tenure is 1 year.interest is compounded quarterly. How do i calculate how much interest is earned till march 2019 for tax calculation purpose?

Really well done! Well Explained… great work

I have monthly deposite 10000 in recuring account period 5 year’s . 13% intrest How many get intrest amount How caculate

Thanks for the amazing formula to calculate.

While this was nice, Geometric Series can simplify this into one equation.

A = P(1+r/n)^(nt) + c[a(1 – r/n)^(nf*z)] / [1 – (1 + r/n)^(n*f)]

P = Principal

r = interest rate

n = number of compounds per year

t = number of years this is compounding

c = the amount of the contributions made each period

a = will be one of two things depending on when contributions are made [if made at the end of the period, a = 1. If made at the beginning of the period, a = (1 + r/n)^(n*f)]

f = frequency of contributions in years (so if monthly, f = 1/12)

z = the number of contributions you would make over the life of the account (typically this would be t/f)

For example, suppose I had $10,000 in an account compounding daily at 4%. If I make contributions monthly of $100, then what is the value in 10 years? This would be set up accordingly.

Contributions made at the end of the month:

A = 10,000(1 + 0.04/365)^(365 * 10) + 100[1(1 – 0.04/365)^(365 *1/12*(10/(1/12))] / [1 – (1 + 0.04/365)^(365*1/12)]

Simplifying:

A = 10,000(1 + 0.04/365)^(3,650) + 100[1(1 – 0.04/365)^(3,650)] / [1 – (1 + 0.04/365)^(365/12)]

A = $29,647.91

Contributions made at the beginning of the month:

A = 10,000(1 + 0.04/365)^(365 * 10) + 100[(1 + 0.04/365)^(365*1/12)(1 – 0.04/365)^(365 *1/12*(10/(1/12))] / [1 – (1 + 0.04/365)^(365*1/12)]

Simplifying:

A = 10,000(1 + 0.04/365)^(3,650) + 100[(1 + 0.04/365)^(365/12)(1 – 0.04/365)^(3,650)] / [1 – (1 + 0.04/365)^(365/12)]

A = $29,697.09