There are so many
instances when you come across a newspaper article and the heading itself tells
you that there is something wrong with the story. Recently, one such story
talked about equity underperforming PPF over a 20-year period. As a proxy of
equity, the writer had taken Sensex data. This story was published in a leading
business daily and has been widely circulated in social media.
First of all, the
timing of the story is interesting. The author highlights this in the opening
paragraph. The line catches attention. It stresses upon the fact that in spite
of the last 40% upside, equity underperforms PPF. Well, those who understand
compounding know that 40% for a year is lower than 8% per year for 10 years and
far lower than 9% per year for 20 years.
Secondly, the
writer has picked up one period (just one period) to prove a point. Anyone with
an understanding of statistics knows that this is too small a sample to be
called representative of anything. (For more detail, please see this story … http://www.cafemutual.com/News/Don’t-be-fooled-by-averages~124~Cli~FinancialPlanning~61)
One must question
why only this period is picked up for the analysis. Is this some kind of a
Bollywood movie script that one is talking about “Bees saal pehle ki baat
hai…”? Exactly 20 years ago, the Sensex was at a high point. While the writer
mentions the 40% upside in the last one-year of the analysis, he forgot to
mention a similar rally between August 1993 and August 1994. Well, that rally
was not similar to the current one. Here are the numbers:
Month
|
Sensex closing
value
|
One year change
|
August 1993
|
2,633.79
|
74.20%
|
August 1994
|
4,588.16
|
Month
|
Sensex closing
value
|
One year change
|
August 2013
|
18,619.72
|
42.02%
|
August 2014
|
26,442.81
|
While the Sensex
has gone up by 42% in the last year, it had gone up by 74% for the year at the
start of this analysis. This means, it is not just the current point that is
high as mentioned by the writer, even the starting point of his analysis was
also a high point.
Third, PPF cannot
have a one-time investment. It requires annual investment. This will completely
change the result if you allow annual investments both in PPF as well as
equity. Those familiar with the concept of SIP in equity would understand this
point.
Fourth, and very
important – the writer does not seem to know much about the index used. Sensex,
the index he has used to represent equity is a principal return index and not a
total return index.
A principal
return index reflects the movement of the stock prices and ignores any
dividends paid out along the way. A total return index adds back the dividends
also.
Why are we
suggesting that this is a critical point? The writer has considered reinvestment
of all the interest in case of PPF and hence got the benefit of compounding. To
do a fair comparison, even the equity dividend should also be considered
reinvested.
We constructed a
hypothetical index assuming various dividend yields and added back all the
dividends. We used Sensex data as the base for the calculations and assumed
three different dividend yields (annualized), viz. 1.0%, 1.5% and 2.0%. We had
to do this since Sensex Total Return Index is not publicly available on www.bseindia.com.
Our data is
marginally different since we have taken August data till 25th
August, whereas the writer of the article might have taken slightly old data.
However, this difference is so small that it may be ignored. (According to the
article referred, Sensex was up 5.75 times over 20 years, whereas in our
analysis, Sensex is up 5.76 times). Investment in PPF, on the other hand, would
have multiplied by 7.31 times – quite a difference this is.
According to the
said article, investment of Rs. 10,000 in PPF would be worth Rs. 73,124. In
comparison, investment in Sensex for the same amount would be worth Rs. 57,520.
As mentioned
earlier, this number is calculated without adding back the dividends. What
happens if we add back the dividends?
Here is the data
(as calculated by us):
Amount invested:
Rs. 10,000 (one time investment)
Investment
period: 20 years
Value after 20
years:
Investment
vehicle
|
Value
after 20 years
|
CAGR
|
|
PPF
|
Rs. 73,124
|
10.45% p.a.
|
|
Sensex
|
Without dividends
|
Rs. 57,633
|
9.15% p.a.
|
Dividend yield of 1% p.a.
|
Rs. 70,387
|
10.24% p.a.
|
|
Dividend yield of 1.5%
p.a.
|
Rs. 77,841
|
10.79% p.a.
|
|
Dividend yield of 2% p.a.
|
Rs. 85,949
|
11.35% p.a.
|
Over the years,
the average dividend yield on Sensex stocks has been in the range of 1.5% p.a.
to 2% p.a. In both these situations, the final value of equity investment is
higher than PPF.
Having said that,
our attempt is not to prove that equity would always outperform PPF for periods
as long as 20 years, since we have also presented only one data point. The idea
is not to prove equity as superior to anything else, but to highlight the fact
that if some part of the data is ignored, a totally different picture may
emerge. Equity is a risky asset class and hence one should not expect 100%
guarantee of positive returns, whatever the period.
Let us revisit the title, "PPF investment can beat Sensex returns over 20-year period" - can it happen? Yes, as mentioned in the previous paragraph, equity is a risky investment avenue. The risk may result into underperformance or negative returns. However, in this analysis, it did not happen.