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FundsIndia explains: What is compounding?

When anyone talks about investing, they say “Don’t work for money. Make money work for you”. And how does money work for you? It’s through compounding. What is it? Let’s start with a small story.

There was once a poor poet who won the praise of the King. The King offered the poet to choose his reward. The poet, who knew his math very well, took a chessboard. He asked for a single grain of rice to be placed in the first square, double that in the second square, double that in the third and so on until the 64th square. Thinking it a simple offer, the King agreed.

So the first square had 1 grain, the 2nd square had 2, the 3rd square had 4, the 4th square had 8. By the 10th square, the number was 512 grains. By the 20th square, it was 524,288. By the 64th square the number was 9,22,33,72,036,85,47,80,000. It’s not a number we can even put into words!

That’s compounding for you. It happens when your first investment earns a return (the second grain in square 2), and this return in turn earns a return and so on over a period of time.

How is it useful?

Now look at it in the world of investments. Let’s say you invested Rs. 10,000 in a deposit which pays an interest rate of 10 per cent annually. You don’t opt for the payout of interest. In the first year, the interest earned is Rs. 1,000. You now have Rs. 11,000 (Rs. 10,000 + Rs. 1,000). This total amount will earn interest in the second year.

That results in an interest of Rs. 1,100. What is happening is that the Rs. 1,000 that you earned in the first year is in turn earning Rs. 100 in the second year. So at the end of the second year, you have Rs. 12,100 in your hand. By the end of year 10, the Rs. 10,000 would have grown to Rs. 25,937.

Mutual fund returns work in the same manner. Let’s say you invested Rs. 1 lakh in two mutual funds with NAVs of Rs. 10 and Rs. 250 respectively. A year later, both the funds’ NAVs rose by 10 per cent to Rs. 11 and Rs. 250. Your investment is now worth Rs. 1.1 lakh. At the end of the second year, both funds again saw their NAV rise by 10 per cent. Their NAVs now become Rs. 12.1 and Rs. 302.5. The value of your investment has thus grown to Rs. 1.21 lakh. The table below shows how your investment value rises each year, assuming that the NAVs of both funds rise 10 per cent each year.

As you may now notice, the longer you stay invested, the more your investment grows. The power of compounding is felt over a long period of time and not in a couple of years. This is why you are always told that the earlier you start investing, the better it is for you.

Still not sure how? Look at the table above. If you had stayed invested for 10 years, you would have Rs. 2.59 lakh. If the 10 per cent rise in NAV had carried on for a further 10 years, you would have Rs. 6.7 lakh.

But had you stayed put only for the first five years, you would have only Rs. 1.61 lakh! You need to, therefore, always give time for your money to work. Don’t lose patience with your investments within the first few years and pull it all out.

Of course, compounding is also greater when you invest higher sums at the outset. So if you had invested Rs. 2 lakh in the above example, by year 10, you would have Rs. 5.18 lakh. The Rs. 1 lakh differential in the investment amount reaps a difference of Rs. 2.59 lakh in return.

In a nutshell, the longer the period, the more the effect of compounding . Also, greater the investment amount, the more the effect of compounding.

As Albert Einstein put it, compounding is the eighth wonder of the world.

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10 Responses to FundsIndia explains: What is compounding?

  1. Udayakumar April 18, 2016 at 12:36 pm #

    Also we need to be aware that if the NAVs goes down by 10% in year 2, the value of investment will go down from 1,10,000 to 99,000. It would be a total of 11% loss.

    • Lakshmeenarasimhan S
      Lakshmeenarasimhan S April 18, 2016 at 4:44 pm #

      Great point Udaykumar. But let us look at this from another perspective . The maximum one can lose is 100%, i.e your investment/NAV goes to 0 but the maximum that one can gain or the upside is unlimited, provided you give your investment time to grow. Gyrations in your investments in a year or two should not affect your objective or goal of staying invested for the designated time period.

  2. Padmanabhan April 18, 2016 at 2:15 pm #

    Hi

    Well-written. The article nicely captures the essence of Compounding with relevant examples.

    On a related note – Do we have any data on how long-term a typical Indian investor tends to have his/her investments going (in case of SIP) or stay invested (For Lump-sum investment) ? I know this can vary depending on Fund House/Funds/Goals etc. But any idea how long people are ready to wait it out? Perhaps another article on Mindset of Indian mutual Fund Investor could help ;)

    • Padmanabhan April 29, 2016 at 3:12 pm #

      Comment still awaiting moderation?

    • Lakshmeenarasimhan S
      Lakshmeenarasimhan S April 29, 2016 at 5:18 pm #

      Hello Padmanabhan, if you take amfi data, a majority of retail money remains in equities for over 2 years. There is no data on period over this..it could be 3 years or 5 years or 10 years. This is not specific to SIP, it is money in general. With us, majority of our investors come with a SIP term of not less than 5 years and many have much longer period based on their long-term goals.
      It is one thing to see what others are doing but we would also like investors to know the benefit of staying invested for the long term and the risks of short-term investing. We will come up with a blog on the same soon.

  3. Bahadar Singh April 29, 2016 at 2:50 pm #

    I have five sip and paid RS.1000/- in each every month.
    Axis long term equity fund g
    Franklin India smaller co. G
    HDFC midcap fund g
    Reliance tax Saver fund
    Sundaram smile fund g
    Please write me my portfolio is right or wrong.

  4. Bahadar Singh May 3, 2016 at 11:25 am #

    I have five sip and paid RS.1000/- in each every month.
    Axis long term equity fund g
    Franklin India smaller co. G
    HDFC midcap fund g
    Reliance tax Saver fund
    Sundaram smile fund g
    Please write me my portfolio is right or wrong.

    • Lakshmeenarasimhan S
      Lakshmeenarasimhan S May 9, 2016 at 1:09 pm #

      This is a general discussion forum. Kindly use your FindsIndia account and kindly utilise the advisor appointment feature for this purpose.

  5. Sundar July 17, 2016 at 10:33 am #

    Nice Article. What would be the return after adjusting for the inflation over the same periods? Where can I look up in the data sheets you provide, returns of a particular fund after adjusting for inflation over the corresponding periods?

    • Lakshmeenarasimhan S
      Lakshmeenarasimhan S September 14, 2016 at 10:16 am #

      Apologies for the delayed response Sundar. As such there are no direct means of getting inflation adjusted returns of mutual funds. As an when the inflation numbers are released by the government, it can be used to compare it with your mutual fund returns. If you want to compare it over a period of time, the Central statistics office and RBI publish the WPI and the CPI numbers which can be used to calculate the inflation for the required period and this can be used to compare with your fund returns to obtain real returns.

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