Study on
whether the Performance of Small Cap
Index Outperforms the Performance of Large
Cap
Index
SURESH KUMAR.G1, RENUKA.M. G2, KISHORE KUMAR.V3 & DHINESH RAJ.R4.
19MBA00101, 19MBA00602, 19MBA00723, 19MBA00984
VIT BUSINESS
SCHOOL, VIT UNIVERSITY, VELLORE, TN
ABSTRACT
This paper focuses on the
performance of Nifty Small cap 50 indexes, NIFTY Midcap 50 Index over Nifty50
large-cap index performance. The objective of the paper is to test the size
impact in the Indian market and as stated in the Fama French four Factor Model to describe
stock returns in asset pricing and portfolio management. We have tested here
two hypotheses, the longer the holding period, the higher the average return. The
second hypothesis, is the size impact, whether Small-Cap and Midcap Index
outperforms the NIFTY 50 large-cap index.
Our hypothesis 1, was
proven correct, higher the holding period, the higher the return irrespective of
the type of the index. However, we couldn’t prove hypothesis 2, which proves
that small-cap doesn’t outperform large-cap, even for a holding period of 10
years. Our analysis was further supported by the IIMA factor study, for the Indian
market, where the small-cap sector underperforms the large-cap sector.
INTRODUCTION
Market capitalization is the aggregate value of the company and it denotes the size
of the company. If the share price of a particular company is high it doesn’t mean
that that company will be the bigger. It all depends on how many numbers of
outstanding shares the company holds. Therefore, the market capitalization of a
company is the overall value of the share outstanding in other words, it is the
multiple of the total number of shares outstanding and current price per share.
The
stocks are classified based on the market capitalization as small-cap, mid-cap
and large-cap. In India as per the NSE
(National Stock Exchange) the stock’s value ranging below 8,500 crores
will be small-cap companies, between 8,500 – 28000 crores will be called
the mid-cap companies and the values above 28,0000 crores will be the
large-cap companies. Whereas as per BSE(Bombay Stock Exchange) it follows
80-15-5 rule i.e. it calculates via the percentage of shares; companies
covering 80% shares of the total market cap MOF, BSE will be the large-cap
companies, the nest 80 – 95% will fall under the mid-cap and the rest last 5%
will be the small-cap companies.
FAMA FRENCH FOUR FACTOR MODEL
This
is one of the models proposed by Eugene Fama
and Kenneth French to describe
stock returns in asset pricing
and portfolio management. The factors which contribute
the performance of the portfolio is:
(1)
the outperformance of small versus big companies,
(2)
the outperformance of high book/market versus low book/market companies
(3)
momentum, winners minus losers.
(4)
Market Risk premium
So, the
four-factor returns will be,
·
Risk premium
·
SMB: "Small [market
capitalization] Minus Big"
·
HML: "High [book-to-market
ratio] Minus Low"
·
WML: winners Minus Losers
Factors
|
Last month
|
Last 3 months
|
Year to date
|
Since 01-Jan-1994
|
Market premium %
|
-0.2
|
3.9
|
0.1
|
3.7
|
SMB %
|
-1.0
|
-7.6
|
-19.5
|
-1.0
|
HML %
|
-4.2
|
-7.9
|
-29.1
|
5.5
|
WML %
|
5.1
|
-8.3
|
51.0
|
19.3
|
Note:
Return since 01-Jan-1994 is an annualized geometric mean.
HYPOTHESIS
Hypothesis: 1
Longer the holding period, higher the
returns and so the probability of loss will be less. The holding period is
directly proportional to the portfolio returns.
Hypothesis: 2
The longer period
of holding small-cap can bring higher returns
than the large-cap. The small-cap outperforms the large-cap.
PROCEDURE
We
have taken the nifty large-cap TRI (Total Return Index) and calculated the
returns at the different holding period such three years, five years and ten
years. The results in the below table show that longer the period of holding,
higher the returns.
|
NIFTY 50 LARGE CAP RETURN
|
|||
Average
|
Minimum
|
Maximum
|
standard
Deviation
|
|
3Year
Holding period
|
60.15%
|
-38.98%
|
315.45%
|
61.89%
|
5Year
Holding period
|
125.14%
|
-7.18%
|
580.60%
|
112.30%
|
10Year
Holding period
|
316.94%
|
77.43%
|
656.24%
|
140.74%
|
The time period of analysis: 01
April’05 - 30 March’20
|
NIFTY 50 MID CAP RETURN
|
|||
Average
|
Minimum
|
Maximum
|
standard
Deviation
|
|
3Year Holding
period
|
34.95%
|
-49.24%
|
144.55%
|
39.51%
|
5Year
Holding period
|
50.20%
|
-50.60%
|
190.68%
|
47.85%
|
10Year
Holding period
|
126.34%
|
9.31%
|
462.25%
|
90.34%
|
Similarly, the same calculation is followed
for the mid and the small-cap. The mid-cap shows less variation for three-year
period than the small and the large as shown below.
The small-cap shows the least returns than the large and the
midcap even though the holding period is increased as shown below.
|
NIFTY 50
SMALL CAP RETURN
|
|||
Average
|
Minimum
|
Maximum
|
Standard
Deviation
|
|
3Year
Holding period
|
29.84%
|
-57.13%
|
199.14%
|
49.10%
|
5Year
Holding period
|
54.33%
|
-46.62%
|
209.57%
|
60.13%
|
10Year
Holding period
|
112.25%
|
-24.36%
|
319.79%
|
67.12%
|
FINDINGS
So,
it is proven that the higher the holding period, the rate of return is more
irrespective of the type of the index and the size. Whereas the hypothesis
2 fails i.e. small cap doesn’t outperform the large-cap.
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