Compounding or compound interest is the effect of the interest earned on an investment earning interest on account of re-investment.
In other words, if the interest earned is not withdrawn but allowed to remain in the investment then for the next period, then return will be earned in the next period not only on the principal but also on the interest that was reinvested. Overtime, the contribution of compound interest to the accumulated value of the investment will be far more than the investment made.
Use our calculators "Compounding Effect" and "Effect of Compounding Frequency" to enhance your understanding of the concepts.
Let us understand this concept with two scenario.
Jay saves Rs.1000 in the first year and invests this in a product which interest @10% per annum.
Scenario 1- Jay leaves the money- the principal and the interest earned each year on his principal (Rs.1000)
Scenario 2- Jay takes the interest earned each year out and leaves the principal amount i.e. Rs.1000 untouched.
So what’s the amount of interest earned in each scenario?
Scenario 1 | Scenario 2 |
---|---|
Principal- Rs.1000 Rate of Interest- 10% p.a. Leaves Interest and Principal to grow |
Principal- Rs.1000 Rate of Interest- 10% p.a. Takes the Interest out and lets Principal to grow |
Interest earned = Rs.610.51 | Interest earned = Rs.500 |
This difference in interest earned is on account of the compounding effect i.e. interest earned on an investment earning interest on account of re-investment
Simply put, the number of compounding periods in a year is referred to as Compounding frequency. For example, in a Quarterly compounding we have a frequency of 4 (12/3), half yearly compounding we have a compounding of 2 (12/6) and monthly compounding we have frequency of 12.
The more is the compounding frequency in a given time period, for the same principal amount, higher will be the return.
Number crunching to understand Compounding Frequency
Scenario 1 | Scenario 2 | Scenario 3 | Scenario 4 |
---|---|---|---|
Principal- Rs.10,000 Rate of Interest- 10% p.a. Compounding Frequency- Annual |
Principal- Rs.10,000 Rate of Interest- 10% p.a. Compounding Frequency- Hal yearly |
Principal- Rs.10,000 Rate of Interest- 10% p.a. Compounding Frequency- Quarterly |
Principal- Rs.10,000 Rate of Interest- 10% p.a. Compounding Frequency- Monthly |
Interest earned = Rs.1000 | Interest earned = Rs.1025 | Interest earned = Rs.1038 | Interest earned = Rs.1047 |
It may be observed that under each, even with the same amount of principal put in i.e. Rs.10,000 earns different amounts of interest; the higher is the compounding frequency, the higher is the return generated. Kindly note that there is no withdrawal of funds in all the scenarios and the interest earned in each case is re-invested.
Formula used:
P- Principal amount,
r- Rate of interest,
n- compounding frequency;
for annual compounding r = r
for half yearly compounding r= r/2
for quarterly compounding r= r/4
for monthly compounding r= r/12
Once Einstein allegedly had said- “Compound interest is the eighth wonder of the world. He who understands it, earns it; he who doesn’t, pays it”.
In the context of Investing, especially for an important goal like retirement, a small delay at the start could create a big shortfall later or increase the time period to achieving the goal significantly. Re-investment of returns and compounding are some of the most important fundamental concepts based on which the whole issue of saving for retirement planning, goal based saving & investing and creation of a retirement corpus works.
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