When asked to name the greatest mathematical discovery, Albert Einstein, one of the most influential and best known scientist and intellectual of all time replied – “compound interest”.

Let’s try to understand why he said so with a very simple example:

• Jerry starts saving when he turned 25 and invests Rs 50,000 every year. He earns a return of 10% every year.At the end of ten years; he has been able to accumulate Rs 8.77 lakh. After that, he dosen’t invest Rs 50,000 anymore. He leaves that investment there until he’s retires at 60. At that time,  he would have accumulated around Rs 95 lakhs .
• Tom, had fun and lived his first few years spending on all kinds of things and did not think of investing regularly. At 35, he starts to invest Rs 50,000 regularly every year until he retires at 60. I.e. for 25 years. But, he would have managed to accumulate only Rs 54.1 lakhs which is around Rs 41 lakhs less in comparison to Jerry.

5 simple points spell out from this story:

• Even by investing two-and-a-half times more than Jerry,Tom has managed to build a corpus which is 43% less!
• Why? Because,Jerry’s Rs 5 lakhs was allowed to compound for a longer period of time than Tom’s.
• As the fund grows, the impact of compounding is greater.Jerry starts at 25, accumulates 50,000 for ten years, stops at 35 and then, his 8.77 lakhs (5 lakhs + Interest) is allowed to compound for 25 years till he’s 60. Whereas Tom starts at 35 and invests Rs 50,000 for the next 25 years, accumulates 12.5 lakhs (50,000 x 25) only to get 54.1 lakhs at 60.
• Now let’s assume that Jerry had allowed the fund to compound for only 20 years i.e.  Till he turned 55. At 10% return every year, he would have accumulated an amount of around Rs 59 lakhs. By choosing to let his investment run for 5 more years, he accumulates Rs 45 lakh more.
• Essentially, compounding is the idea that you can make money on the money you’ve already earned.

Compounding is very powerful.As Napoleon hill has said- “make your money work hard for you, and you will not have to work so hard for it” To take advantage of it, you have to start investing as early as possible.The earlier you start, the better it gets.
Easily said ! isn’t it?
I know it generally doesn’t work as i said. Because at 25, most of you haven’t drawn a plan to invest 50,000 a year. Even if you’ve done it , somewhere down the way , you’ve missed to add to your corpus regularly year after year. And , due to some emergency that crept in, you took back some amount from the corpus and din’t let your money grow !
So , how can a regular person use it to his/her advantage? Always remember to reinvest interest or dividends received on your investments. Over a period of time, such small amounts will add up to a tidy sum.
FREQUENCY FACTOR IN COMPOUNDING
The frequency of compounding is a major factor that that influences the compounding effect. The shorter the compounding frequency, the earlier your interest is re-invested and thus you earn more interest and your money grows faster.
Here’s more examples:

• Savings of Rs 2500/- per month (Rs.30000 Per year) with 15% return will be worth Rs. 15028707/- (1.5 Crores) after 30 years. Yes, this is not typing error. It will be worth Really 1.5 Crores.
• Savings of Rs 2500/- per month (Rs.30000 per Year) with 15% return will be worth Rs. 30400370/- (3.04 Crore) after 35 years.

COMPARATIVE CHART.
Here is a comparative chart for you to understand.
Let’s assume that you invest Rs 10,000 annually. Your retirement age is 60. Let’s also assume that the interest rate you get is 10%.
At the age of 60 you will have -

• 49 lakhs -if you had started investing from age 20.
• 30 lakhs -if you had started investing from age 25.
• 18 lakhs – if you had started investing from age 30.
• 11 lakhs – if you had started investing from age 35.
• Just 6 lakhs – If you start at 40!! Take note of the impact.

Oh! That’s a huge difference! Now that you realized it late, what can you do? You can start now, invest more and reach the target of 49 lakh at age 60. This would mean more hard work and budgeting for you.   Let us see how much more you would need.
To get 49 lakhs at age 60 –

• Invest 10,000 annually – at age 20
• Invest 16,500 annually – at age 25
• Invest 27000 annually – at age 30
• Invest 45,000 annually- at age 35
• Invest 78,000 annually – at age 40!!

Generally what I find is that most of the Indians start thinking of saving and investing at the age of 30-35. The above calculation is made assuming that the interest rate you get is 10 percent. But the average interest rate of banks is less than that. I hope the picture is now clear for you. The more you delay, the more you need to invest.

Hope you have understood the concept of compounding and how it impacts your savings. That’s principle 3 for you.
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