A Study to find Co-Relationship of various Sectorial Indices Return for Different Investment Period
Dr. Hemendra Gupta
Jaipuria Institute of Management, Lucknow
*Corresponding Author E-mail:
ABSTRACT:
The study tries to explores the co-relationship amongst various sectoral indices which include Auto, Banking, Capital goods, Consumer durable, FMCG, Health Care, Metal Power, Realty and Sensex of Bombay stock exchange This study is done using the daily index of all stock markets from 1st April 2001 to 30 April2016. In the study returns for investment period for one month, one year, three year, five year and seven year have been calculated and have been compared using Descriptive Analysis. The correlation matrix of sectoral returns for different investment period has been used to look at the relationship between indices. There exist positive correlation among various sectors when the investment period is less than five years however when the investment period is five year and more some sectors shows negative correlation in them. It also studies about the systematic and non-systematic risk for different sectors. FMCG and Health Sectors are the best sectors over this period of time in terms risk-return reward ratio whereas Power and realty sector have been the worst performer. The study also tested long term relationship by using Augmented Dicky Fuller Test (ADF) and Granger Causality lest. All sectors exhibited Non Stationary nature. Banking Sector was seen as Granger causing most of the sector whereas IT Sector was seen as the sector not having long term relationship with any other sector
KEY WORDS: Correlation Matrix, Granger Causality test, Jarque Bera Test, Kruscal Wallis Test, Sectoral Indices.
Market Indices were primarily constructed to understand the sentiments of market and how various factors are affecting the market as a whole. The volatility and return depicted in Indices gives a bird eye view of how the sector or market is performing. In India Sensex has widely been used as an indicator of Economy.
It broadly reflects the impact of various macroeconomic variables. S and P Sensex measures the performance of thirty largest companies having highest market capitalization and are generally to most financially sound and liquid companies and has representation across all major sectors of economy it broadly covers 50% of total market cap of Bombay Stock Exchange and can be taken as broad indicator of Market as whole. Similarly to measure and evaluate the performance of various Sectors Sectoral Indices were created to capture the sentiment of particular sector. This also enables to study about the overall performance of market and sector in terms of return and risk
REVIEW OF LITERATURE:
There have been studies to study the sectoral risk and return. Sectoral Indices indirectly acts as measure of the performance of economic activity and acts as barometer of sector performance. Demirer and Lien (2005)3 studied the correlation in different sectors in both upward and downward direction in which it was observed that when the market is bullish there is high correlation in Chinese market whereas in US Market the sectoral indices showed strong correlation in bearish market and degree is stronger in extreme movements. Dingmu Cao, Wen Long, Winning Yang(2013)2 found that there have been stages when the markets are highly volatile then various indices also tend to follow same trend however there are stages when there are low correlation and many sector indices follow cyclical pattern of economy. Poshakwale Sunil (2002)9 reported that daily returns from the stock indices in India not strongly confirm to random walk. Swarna Lakshmi P (2013)8 on studying the volatility across various sectors fond realty having highest volatility. Gupta H (2016)7 studied the relationship of return on investment of NIFTY with respect to the P/E value Shanmugasundram and Benedict (2013)12 did a study on the volatility of the sectoral indices with reference to Nifty in which they concluded that there do not exist any significant difference across the risk of various indices and NIFTY. Prabahar, Dhinakaran and Pandian (2008)10 concluded that systematic risk were lesser in IT stocks than Unsystematic risk. Rajamohan, S., Muthukamu, M., (2014)11 studied about the risk return performance of the sectoral indices of NSE and it was observed that there is a positive correlation of return banking sector with other sectors. Most of the studies have been focused on identifying factors which have impacted the broad market depicted by diversified index however the current paper has tried to identify the impact of various sector performances on market as a whole and also how sector performance impacted each other in Indian market
SOURCE OF DATA:
Sensex data has been captured from April 2001 to April 2016 and also data of 11 sectors have been taken from different indices of Bombay Stock Exchange (Table 1).
Table 1
|
Indices |
Date from where Data is taken |
Index Inception date |
|
S& P Sensex |
1-Apr-01 |
1-Jan-86 |
|
S& P BSE Auto Index |
1-Apr-01 |
23-Aug-04 |
|
S&P BSE Capital Goods |
1-Apr-01 |
1-Feb-99 |
|
S&P BSE Consumer Durable |
1-Apr-01 |
9-Aug-99 |
|
S&P BSE FMCG |
1-Apr-01 |
1-Apr-15 |
|
S&P BSE Health Care |
1-Apr-01 |
1-Apr-15 |
|
S&P BSE IT |
1-Apr-01 |
1-Apr-15 |
|
S&P BSE Metal |
1-Apr-01 |
23-Aug-04 |
|
S&P BSE Oil &Gas |
1-Apr-01 |
23-Aug-04 |
|
S&P BSE Power |
1-Jan-05 |
9-Nov-07 |
|
S&P BSE Bankex |
1-Jan-02 |
23-Jun-03 |
|
S&P BSE Realty |
1-Jan-06 |
1-Jul-07 |
These indices in Bombay Stock exchange are maintained by Asia Index Pvt. Ltd which is a joint venture between Bombay Stock Exchange and Standard Poor rating agency. The company has also done back testing and data prior to launch is not actual data but back tested performance.
OBJECTIVE OF THE STUDY:
1) To study the performance of various sectors in terms of risk and return
2) To study the relationship in returns between various sectors over different horizon of investment period
3) To study the Granger relationship in movement of sector indices
DATA ANALYSIS:
Compounded Returns were calculated for different holding period which is monthly, One Year, Three Year, Five Year and Seven year for all Indices and various tests were applied on it. To test the Normality of data for return Jarque Bera Test was applied
n = no. of observations
k = no. of variables
S = Skewness
C = Kurtosis
On testing the Normality of Returns by applying JB Test across different holding period it was observed (Table 2) that for most of the sectors the returns are not normal for monthly investment only FMCG sector was showing normal returns. Whereas when horizon was for one year return Banking and Realty sector followed Normal return On testing Normality for investment period of Three Years only FMCG and IT confirmed the hypothesis of returns being normal. For testing investment period for five years and more there were very few sectors whose return were normal. Hence to check whether there exist substantial variability in returns across Sectors Non parametric Test were used and for that as seen from Table 3 Kruscal Wallis T test was applied and as observed there was no significant difference across returns of various Sector and Sensex when Investment horizon is for Monthly however other than that it showed there does exist substantial difference in returns across various sectors Investment has to be evaluated from broadly two perspective which is Return and Risk associated in it and both the factors have to be seen jointly. Some common measurements which incorporate risk and return are Sharp ratio and Treynor’s ratio however in this another common statistical measurement Coefficient of Variation (CV) was used and higher CV means a better reward and risk ratio.
Table No. 2a Descriptive Statistics of Indices for Monthly Returns
|
|
AUTOM |
BANKM |
CAPITAL_GOODSM |
CONSUMER_DURABLEM |
FMCGM |
HEALTHCAREM |
|
Mean |
2.2% |
2.1% |
2.2% |
2.2% |
1.3% |
1.6% |
|
Max |
31.8% |
45.3% |
50.7% |
56.9% |
21.0% |
16.2% |
|
Min |
-26.9% |
-25.3% |
-33.7% |
-29.2% |
-18.3% |
-24.3% |
|
Std. Dev. |
8.3% |
9.6% |
10.2% |
10.5% |
5.9% |
6.3% |
|
CV |
0.27 |
0.22 |
0.22 |
0.21 |
0.23 |
0.26 |
|
Skew |
0.01 |
0.36 |
0.43 |
0.49 |
-0.05 |
-0.59 |
|
Kurtosis |
4.16 |
5.20 |
5.87 |
6.98 |
3.87 |
4.47 |
|
JB test |
10.08 |
38.07 |
67.23 |
125.70 |
5.77 |
26.77 |
|
Probab |
0.01 |
0.00 |
0.00 |
0.00 |
0.06 |
0.00 |
|
Obser |
180 |
171 |
180 |
180 |
180 |
180 |
Table No. 2a is Cont………
|
|
ITM |
METALM |
OIL_GASM |
POWERM |
REALTYM |
SENSEXM |
|
Mean |
1.5% |
1.7% |
1.6% |
0.9% |
1.2% |
1.3% |
|
Max |
36.1% |
58.0% |
30.4% |
36.4% |
79.3% |
28.3% |
|
Min |
-31.5% |
-40.3% |
-31.5% |
-29.9% |
-43.6% |
-23.9% |
|
Std. Dev. |
8.8% |
12.0% |
8.6% |
9.3% |
17.7% |
6.8% |
|
CV |
0.17 |
0.14 |
0.19 |
0.09 |
0.07 |
0.20 |
|
Skew |
-0.18 |
0.41 |
0.21 |
0.44 |
1.17 |
-0.13 |
|
Kurtosis |
4.81 |
5.40 |
5.32 |
5.49 |
6.31 |
4.63 |
|
JB test |
25.53 |
48.13 |
41.78 |
39.16 |
84.06 |
20.43 |
|
Probab |
0.00 |
0.00 |
0.00 |
0.00 |
0.00 |
0.00 |
|
Obser |
180 |
180 |
180 |
135 |
123 |
180 |
Table No. 2b Descriptive Statistics of Indices for Holding Period of One year.
|
|
AUTO1 |
BANK1 |
CAPITAL_GOODS1 |
CONSUMER_DURABLE1 |
FMCG1 |
HEALTHCARE1 |
|
Mean |
34.1% |
29.7% |
36.4% |
32.4% |
18.4% |
23.3% |
|
Max |
204.2% |
137.2% |
168.1% |
164.3% |
109.9% |
103.2% |
|
Min |
-57.4% |
-58.1% |
-67.5% |
-72.5% |
-23.6% |
-33.9% |
|
Std. De |
49.3% |
39.6% |
53.4% |
45.5% |
23.3% |
27.2% |
|
CV |
0.69 |
0.75 |
0.68 |
0.71 |
0.79 |
0.86 |
|
Skew |
1.27 |
0.28 |
0.33 |
0.40 |
0.78 |
0.60 |
|
Kurto |
4.89 |
3.09 |
2.45 |
3.36 |
4.50 |
3.40 |
|
JB test |
70.26 |
2.11 |
5.16 |
5.40 |
33.09 |
11.39 |
|
Prob |
0.00 |
0.35 |
0.08 |
0.07 |
0.00 |
0.00 |
|
Obser |
169 |
160 |
169 |
169 |
169 |
169 |
Table No. 2b Cont…………
|
|
ITM1 |
METAL1 |
OIL_GAS1 |
POWER1 |
REALTY1 |
SENSEX1 |
|
Mean |
20.2% |
28.4% |
22.9% |
12.1% |
5.4% |
19.6% |
|
Max |
146.8% |
271.7% |
134.0% |
122.1% |
358.1% |
95.7% |
|
Min |
-50.8% |
-75.3% |
-54.5% |
-63.6% |
-85.3% |
-53.0% |
|
Std. De |
33.9% |
64.9% |
36.9% |
40.9% |
64.7% |
29.5% |
|
CV |
0.60 |
0.44 |
0.62 |
0.29 |
0.08 |
0.67 |
|
Skew |
0.72 |
1.44 |
0.71 |
0.61 |
2.17 |
0.18 |
|
Kurto |
4.56 |
5.37 |
3.49 |
2.66 |
10.92 |
3.11 |
|
JB test |
31.82 |
98.33 |
15.92 |
8.32 |
380.90 |
0.95 |
|
Prob |
0.00 |
0.00 |
0.00 |
0.02 |
0.00 |
0.62 |
|
Obser |
169 |
169 |
169 |
124 |
112 |
169 |
Table No. 2c Descriptive Statistics of Indices for Holding Period of Three years
|
|
AUTO3 |
BANK3 |
CAPITAL_GOODS3 |
CONSUMER_DURABLE3 |
FMCG3 |
HEALTHCARE3 |
|
Mean |
26.6% |
22.8% |
28.6% |
24.9% |
19.5% |
20.7% |
|
Maxim |
81.4% |
61.9% |
107.1% |
76.1% |
46.6% |
48.4% |
|
Mini |
-18.7% |
-7.9% |
-21.6% |
-20.5% |
-4.2% |
-9.9% |
|
Std. Dev. |
0.20 |
0.18 |
0.35 |
0.23 |
0.10 |
0.11 |
|
CV |
1.32 |
1.29 |
0.82 |
1.11 |
1.90 |
1.90 |
|
Skewne |
0.32 |
0.50 |
0.56 |
0.30 |
-0.38 |
-0.24 |
|
Kurtosis |
3.01 |
2.19 |
1.97 |
2.33 |
2.79 |
3.29 |
|
JB Test |
2.47 |
9.28 |
13.90 |
4.88 |
3.80 |
1.93 |
|
Proba |
0.29 |
0.01 |
0.00 |
0.09 |
0.15 |
0.38 |
|
Observa |
145 |
136 |
145 |
145 |
145 |
145 |
Table No. 2c Cont…….
|
|
ITM3 |
METAL3 |
OIL_GAS3 |
POWER3 |
REALTY3 |
SENSEX3 |
|
Mean |
18.1% |
17.1% |
18.7% |
1.5% |
-15.2% |
18.1% |
|
Maxim |
59.2% |
84.5% |
61.7% |
56.8% |
11.4% |
59.6% |
|
Mini |
-17.3% |
-23.5% |
-10.0% |
-23.0% |
-40.8% |
-5.0% |
|
Std. Dev. |
0.15 |
0.28 |
0.21 |
0.16 |
0.12 |
0.15 |
|
CV |
1.19 |
0.61 |
0.89 |
0.09 |
-1.27 |
1.17 |
|
Skewne |
0.13 |
0.51 |
0.45 |
1.19 |
-0.01 |
0.69 |
|
Kurtosis |
2.92 |
2.15 |
1.81 |
4.78 |
2.25 |
2.35 |
|
JB Test |
0.42 |
10.56 |
13.41 |
36.97 |
2.06 |
14.11 |
|
Proba |
0.81 |
0.01 |
0.00 |
0.00 |
0.36 |
0.00 |
|
Observa |
145 |
145 |
145 |
100 |
88 |
145 |
Table No. 2d Descriptive Statistics of Indices for Holding Period of Five years
|
|
AUTO5 |
BANK5 |
CAPITAL_GOODS5 |
CONSUMER_DURABLE5 |
FMCG5 |
HEALTHCARE5 |
|
Mean |
23.6% |
20.6% |
25.0% |
23.0% |
19.9% |
18.6% |
|
Maxi |
58.1% |
56.0% |
91.0% |
56.9% |
30.5% |
33.1% |
|
Mini |
-0.7% |
4.0% |
-11.3% |
2.1% |
10.2% |
1.9% |
|
Std. Dev. |
13.0% |
12.9% |
29.3% |
12.9% |
4.2% |
7.1% |
|
CV |
1.81 |
1.59 |
0.86 |
1.78 |
4.74 |
2.61 |
|
Skewn |
0.73 |
1.08 |
0.67 |
0.73 |
0.02 |
-0.23 |
|
Kurtosis |
2.91 |
3.41 |
2.09 |
2.45 |
2.48 |
2.07 |
|
JB Test |
10.77 |
22.40 |
13.10 |
12.15 |
1.38 |
5.42 |
|
Probab |
0.00 |
0.00 |
0.00 |
0.00 |
0.50 |
0.07 |
|
Observ |
121 |
112 |
121 |
121 |
121 |
121 |
Table No. 2d Cont……….
|
|
ITM5 |
METAL5 |
OIL_GAS5 |
POWER5 |
REALTY5 |
SENSEX5 |
|
Mean |
15.9% |
15.0% |
17.5% |
-0.6% |
-16.4% |
16.9% |
|
Maxi |
36.9% |
64.9% |
57.1% |
26.4% |
7.0% |
46.4% |
|
Mini |
1.5% |
-16.5% |
-8.5% |
-15.2% |
-30.2% |
-1.4% |
|
Std. Dev. |
8.9% |
23.2% |
19.0% |
11.4% |
8.6% |
12.1% |
|
CV |
1.78 |
0.65 |
0.93 |
-0.05 |
-1.92 |
1.40 |
|
Skewn |
0.38 |
0.53 |
0.51 |
1.07 |
0.46 |
0.63 |
|
Kurtosis |
2.44 |
2.12 |
1.92 |
3.03 |
2.86 |
2.38 |
|
JB Test |
4.57 |
9.59 |
11.04 |
14.62 |
2.28 |
10.06 |
|
Probab |
0.10 |
0.01 |
0.00 |
0.00 |
0.32 |
0.01 |
|
Observ |
121 |
121 |
121 |
76 |
64 |
121 |
Table No. 2e Descriptive Statistics of Indices for Holding Period of Seven years
|
|
AUTO7 |
BANK7 |
CAPITAL_GOODS7 |
CONSUMER_DURABLE7 |
FMCG7 |
HEALTHCARE7 |
|
Mean |
22.2% |
19.9% |
21.6% |
20.7% |
19.2% |
17.7% |
|
Max |
36.0% |
35.2% |
57.0% |
35.1% |
25.5% |
30.7% |
|
Mini |
9.4% |
7.1% |
-3.5% |
4.8% |
10.5% |
9.8% |
|
Std. Dev. |
7.2% |
7.8% |
18.7% |
8.7% |
3.3% |
4.7% |
|
CV |
3.09 |
2.54 |
1.15 |
2.37 |
5.74 |
3.76 |
|
Skewness |
0.22 |
0.39 |
0.35 |
0.01 |
-0.94 |
0.68 |
|
Kurtosis |
1.96 |
2.04 |
1.62 |
1.60 |
3.47 |
2.86 |
|
JB-Test |
5.19 |
5.61 |
9.65 |
7.96 |
15.05 |
7.66 |
|
Probab |
0.07 |
0.06 |
0.01 |
0.02 |
0.00 |
0.02 |
|
Obser |
97 |
88 |
97 |
97 |
97 |
97 |
Table No. 2e Cont……….
|
|
ITM7 |
METAL7 |
OIL_GAS7 |
POWER7 |
REALTY7 |
SENSEX7 |
|
Mean |
14.5% |
13.6% |
16.1% |
-0.5% |
-14.6% |
15.4% |
|
Max |
27.1% |
43.4% |
41.9% |
11.5% |
5.0% |
29.0% |
|
Mini |
4.4% |
-8.5% |
-4.1% |
-10.5% |
-25.9% |
4.4% |
|
Std. Dev. |
5.9% |
15.3% |
13.0% |
5.6% |
7.9% |
7.1% |
|
CV |
2.46 |
0.89 |
1.24 |
-0.08 |
-1.86 |
2.18 |
|
Skewness |
0.31 |
0.46 |
0.35 |
0.61 |
0.84 |
0.27 |
|
Kurtosis |
2.20 |
1.98 |
1.86 |
2.64 |
2.70 |
1.81 |
|
JB-Test |
4.13 |
7.72 |
7.21 |
3.48 |
4.81 |
6.86 |
|
Probab |
0.13 |
0.02 |
0.03 |
0.18 |
0.09 |
0.03 |
|
Obser |
97 |
97 |
97 |
52 |
40 |
97 |
Table 3
As expected there is high degree of volatility when investment horizon is monthly and that is depicted by high values of Standard deviation and low Coefficient of variation across all sectors with FMCG showing the highest CV of 0.226 and lowest CV is depicted by Realty Sector. Observing the Descriptive statistics for Investment horizon of One year also showed high volatility and for this period also CV’s of all the sector were less than 1 and Health Care Sector CV is 0.86 followed by FMCG with 0.79. Realty sector showed least CV across all sector. As the investment horizon increases for three years Risk Return reward ratio becomes favorable in most of the sector with FMCG and Health care Sector have CV of 1.90 however Power sector had CV of just 0.09. Similarly for investment horizon of Five and Seven years FMCG and Health Care gives the best Risk Reward ratio whereas Power and Realty Sector are the worst performer
Correlation among returns across various sectors was measured to study the relationship of returns across different investment period .Generally returns across various sectors and market tend to be positive and on analyzing the data from Correlation Analysis (table 4) sector return across different time horizon were mostly highly correlated however when investment period is more than 5 years it was observed that significant negative correlation was observed of realty and power with FMCG sector and similarly Health care also showed negative correlation with Power sector. FMCG sector also showed very low positive correlation (0.104) with Sensex. For investment horizon of seven years or more FMCG (-0.436) and Health care (-0.153) showed significant negative correlation with Oil and Gas sector Standard Deviation measured the total risk or variability in sector however to measure the sensitivity of sector with the market Beta Coefficients were calculated to measure sensitivity of each sector on market movement.
Table 4a Correlations for Monthly Returns
|
Sensex |
Auto |
Capital Goods |
Consumer Durable |
FMCG |
HealthCare |
|
|
Sensex |
1 |
|||||
|
Auto |
.851** |
1 |
||||
|
Capital Goods |
.852** |
.750** |
1 |
|||
|
Consumer Durable |
.760** |
.718** |
.744** |
1 |
||
|
FMCG |
.641** |
.597** |
.433** |
.442** |
1 |
|
|
HealthCare |
.700** |
.658** |
.557** |
.633** |
.561** |
1 |
|
IT |
.615** |
.524** |
.350** |
.508** |
.369** |
.516** |
|
Metal |
.842** |
.747** |
.802** |
.719** |
.455** |
.598** |
|
Oil & Gas |
.820** |
.689** |
.778** |
.642** |
.462** |
.545** |
|
Power |
.877** |
.737** |
.925** |
.731** |
.479** |
.506** |
|
Bank |
.859** |
.742** |
.813** |
.704** |
.445** |
.525** |
|
Realty |
.789** |
.668** |
.745** |
.718** |
.341** |
.426** |
|
**. Correlation is significant at the 0.01 level (2-tailed). |
||||||
Table 4a Cont.……….
|
ITM |
Metal |
Oil a Gas |
Power |
Bank |
Realty |
|
|
Sensex |
||||||
|
Auto |
||||||
|
Capital Goods |
||||||
|
Consumer Durable |
||||||
|
FMCG |
||||||
|
HealthCare |
||||||
|
IT |
1 |
|||||
|
Metal |
.446** |
1 |
||||
|
Oil & Gas |
.355** |
.777** |
1 |
|||
|
Power |
.327** |
.817** |
.824** |
1 |
||
|
Bank |
.322** |
.735** |
.715** |
.819** |
1 |
|
|
Realty |
.334** |
.772** |
.746** |
.755** |
.775** |
1 |
|
**. Correlation is significant at the 0.01 level (2-tailed). |
||||||
Table 4b Correlations among returns for Investment Horizon One year
|
|
Sensex |
Auto |
Capital Goods |
Consumer Durable |
FMCG |
Health Care |
|
Sensex |
1 |
|
|
|
|
|
|
Auto |
.799** |
1 |
|
|
|
|
|
Capital Goods |
.903** |
.737** |
1 |
|
|
|
|
Consur Durable |
.760** |
.667** |
.746** |
1 |
|
|
|
FMCG |
.597** |
.444** |
.424** |
.578** |
1 |
|
|
HealthCare |
.750** |
.821** |
.614** |
.627** |
.461** |
1 |
|
IT |
.709** |
.692** |
.509** |
.631** |
.414** |
.663** |
|
Metal |
.798** |
.821** |
.811** |
.613** |
.269** |
.667** |
|
Oil & Gas |
.792** |
.643** |
.870** |
.521** |
.260** |
.500** |
|
Power |
.890** |
.605** |
.959** |
.708** |
.435** |
.459** |
|
Bank |
.883** |
.800** |
.854** |
.786** |
.377** |
.741** |
|
Realty |
.738** |
.454** |
.680** |
.532** |
.132 |
.360** |
|
**. Correlation is significant at the 0.01 level (2-tailed). |
||||||
Table 4b Cont.…………..
|
|
ITM |
Metal |
Oil a Gas |
Power |
Bank |
Realty |
|
Sensex |
|
|
|
|
|
|
|
Auto |
|
|
|
|
|
|
|
Capital Goods |
|
|
|
|
|
|
|
Consur Durable |
|
|
|
|
|
|
|
FMCG |
|
|
|
|
|
|
|
HealthCare |
|
|
|
|
|
|
|
IT |
1 |
|||||
|
Metal |
.553** |
1 |
||||
|
Oil & Gas |
.328** |
.822** |
1 |
|||
|
Power |
.461** |
.797** |
.934** |
1 |
||
|
Bank |
.571** |
.822** |
.758** |
.791** |
1 |
|
|
Realty |
.466** |
.620** |
.718** |
.672** |
.683** |
1 |
|
**. Correlation is significant at the 0.01 level (2-tailed). |
||||||
Covariance (Sector, Market)
β = -------------------------------
Variance (Market)
On evaluating the beta of various sectors across various time horizon when the investment horizon is Monthly FMCG, Health care and IT are the defensive sector having Beta less than one whereas Realty sector showed the highest beta (β=2.06). On increasing investment horizon for a year Beta for capital good (β=1.63) and Metal (β=1.76) and Realty (β=1.74) Sector is highest and are highly sensitive sectors whereas FMCG (β=0.47), Health care (β=0.69) are defensive sectors for investment. Similarly for Investment horizon for longer periods similar results were observed (Table 5)
Explained Variation
R2 = ----------------------------------------
Total Variation
On testing how much of variations in
sector can be explained by the market variations by observing the R square
value, when the investment horizon was monthly IT sector (
=0.38) was least thus most of the
variation in IT sector is may be because of other factors related to IT sector
and for Banking (
) and Capital Goods (
the value is highest which indicates
that Banking and Capital goods sector is highly influenced by market. Similar
results were also visible when investment horizon increases and inference can
be drawn that variation in Banking and Capital Goods Sector returns are largely
explained by market variations whereas variations in IT, FMCG and Health care
sector have low relationship with Market Variations.
Table 4c Correlations among Sector Investment Horizon for Three years
|
Sectors |
Sensex |
Auto |
Capital Goods |
Consumer Durable |
FMCG |
HealthCare |
|
Sensex |
1 |
|
|
|
|
|
|
Auto |
.659** |
1 |
|
|
|
|
|
Capital Goods |
.942** |
.658** |
1 |
|
|
|
|
Consur Durable |
.880** |
.770** |
.783** |
1 |
|
|
|
FMCG |
.442** |
.259** |
.171* |
.571** |
1 |
|
|
HealthCare |
.450** |
.783** |
.360** |
.570** |
.334** |
1 |
|
IT |
.740** |
.741** |
.582** |
.812** |
.532** |
.723** |
|
Metal |
.787** |
.743** |
.891** |
.698** |
.031 |
.361** |
|
Oil & Gas |
.839** |
.514** |
.940** |
.626** |
.013 |
.171* |
|
Power |
.758** |
-.007 |
.941** |
.257** |
-.164 |
-.187 |
|
Bank |
.906** |
.803** |
.906** |
.868** |
.400** |
.503** |
|
Realty |
.734** |
.191 |
.674** |
.271* |
-.051 |
.322** |
|
**. Correlation is significant at the 0.01 level (2-tailed). |
||||||
|
*. Correlation is significant at the 0.05 level (2-tailed). |
||||||
Table 4c Cont….
|
Sectors |
ITM |
Metal |
Oil Gas |
Power |
Bank |
Realty |
|
|
Sensex |
|
|
|
|
|
|
|
|
Auto |
|
|
|
|
|
|
|
|
Capital Goods |
|
|
|
|
|
|
|
|
Consur Durable |
|
|
|
|
|
|
|
|
FMCG |
|
|
|
|
|
|
|
|
HealthCare |
|
|
|
|
|
|
|
|
IT |
1 |
|
|
|
|
|
|
|
Metal |
.474** |
1 |
. ** |
|
|
|
|
|
Oil & Gas |
.360** |
.902** |
1 |
|
|
|
|
|
Power |
-.088 |
.831** |
.959** |
1 |
|
|
|
|
Bank |
.670** |
.884** |
.800** |
.589** |
1 |
|
|
|
Realty |
.259* |
.280** |
.586** |
.495** |
.530** |
1 |
|
|
**. Correlation is significant at the 0.01 level (2-tailed). |
|
||||||
|
*. Correlation is significant at the 0.05 level (2-tailed). |
|
||||||
Table 4d Correlations among Sectors for Investment Horizon for Five Years
|
Sectors |
Sensex |
Auto |
Capital Goods |
Consumer Durable |
FMCG |
Health Care |
|
Sensex |
1 |
|
|
|
|
|
|
Auto |
.740** |
1 |
|
|
|
|
|
Capital Goods |
.964** |
.704** |
1 |
|
|
|
|
Consur Durable |
.934** |
.865** |
.893** |
1 |
|
|
|
FMCG |
.104 |
.261** |
-.084 |
.160 |
1 |
|
|
HealthCare |
.392** |
.709** |
.255** |
.617** |
.447** |
1 |
|
IT |
.726** |
.810** |
.596** |
.811** |
.356** |
.782** |
|
Metal |
.942** |
.756** |
.955** |
.889** |
-.022 |
.274** |
|
Oil & Gas |
.953** |
.663** |
.986** |
.856** |
-.103 |
.173 |
|
Power |
.782** |
.122 |
.950** |
.364** |
-.229* |
-.336** |
|
Bank |
.965** |
.795** |
.940** |
.938** |
.142 |
.375** |
|
Realty |
.840** |
.402** |
.823** |
.680** |
-.042 |
.424** |
|
**. Correlation is significant at the 0.01 level (2-tailed). |
||||||
|
*. Correlation is significant at the 0.05 level (2-tailed). |
||||||
Table 4d Cont.……
|
Sectors |
ITM |
Metal |
Oil Gas |
Power |
Bank |
Realty |
|
Sensex |
|
|
|
|
|
|
|
Auto |
|
|
|
|
|
|
|
Capital Goods |
|
|
|
|
|
|
|
Consur Durable |
|
|
|
|
|
|
|
FMCG |
|
|
|
|
|
|
|
HealthCare |
|
|
|
|
|
|
|
IT |
1 |
|
|
|
|
|
|
Metal |
.612** |
1 |
|
|
|
|
|
Oil & Gas |
.550** |
.972** |
1 |
|
|
|
|
Power |
.019 |
.895** |
.988** |
1 |
|
|
|
Bank |
.661** |
.936** |
.918** |
.735** |
1 |
|
|
Realty |
.601** |
.502** |
.634** |
.568** |
.734** |
1 |
|
**. Correlation is significant at the 0.01 level (2-tailed). |
||||||
|
*. Correlation is significant at the 0.05 level (2-tailed). |
||||||
Table 4e Correlations among Sectors for Investment Horizon of Seven years
|
Sector |
Sensex |
Auto |
Capital Goods |
Consumer Durable |
FMCG |
Health Care |
|
Sensex |
1 |
|||||
|
Auto |
.761** |
1 |
||||
|
Capital Goods |
.944** |
.650** |
1 |
|||
|
Consur Durable |
.820** |
.781** |
.696** |
1 |
||
|
FMCG |
-.086 |
.047 |
-.355** |
.149 |
1 |
|
|
HealthCare |
.146 |
.704** |
-.011 |
.376** |
.237* |
1 |
|
IT |
.546** |
.805** |
.336** |
.762** |
.349** |
.725** |
|
Metal |
.939** |
.634** |
.976** |
.685** |
-.308** |
.002 |
|
Oil & Gas |
.886** |
.514** |
.972** |
.592** |
-.436** |
-.153 |
|
Power |
.797** |
.033 |
.923** |
.465** |
.489** |
-.338* |
|
Bank |
.974** |
.765** |
.943** |
.790** |
.025 |
.193 |
|
Realty |
.744** |
.256 |
.695** |
.666** |
-.025 |
.177 |
|
**. Correlation is significant at the 0.01 level (2-tailed). |
||||||
|
*. Correlation is significant at the 0.05 level (2-tailed). |
||||||
Table 4e Cont.……..
|
Sector |
ITM |
Metal |
Oil Gas |
Power |
Bank |
Realty |
|
Sensex |
||||||
|
Auto |
||||||
|
Capital Goods |
||||||
|
Consur Durable |
||||||
|
FMCG |
||||||
|
Health Care |
||||||
|
IT |
1 |
|||||
|
Metal |
.327** |
1 |
||||
|
Oil & Gas |
.166 |
.971** |
1 |
|||
|
Power |
-.109 |
.892** |
.925** |
1 |
||
|
Bank |
.576** |
.910** |
.868** |
.527** |
1 |
|
|
Realty |
.330* |
.670** |
.645** |
.787** |
.714** |
1 |
|
**. Correlation is significant at the 0.01 level (2-tailed). |
||||||
|
*. Correlation is significant at the 0.05 level (2-tailed). |
||||||
Table 5 Sector Beta and RSquare against Sensex
|
Investment Horizon |
Monthly |
One year |
Three Year |
Five years |
Seven Years |
|||||
|
Sector |
Beta |
R Square |
Beta |
R Square |
Beta |
R Square |
Beta |
R Square |
Beta |
R Square |
|
Auto |
1.03 |
0.73 |
1.34 |
0.64 |
0.87 |
0.43 |
0.80 |
0.55 |
0.77 |
0.58 |
|
Capital Goods |
1.28 |
0.73 |
1.63 |
0.82 |
2.14 |
0.89 |
2.34 |
0.93 |
2.49 |
0.89 |
|
Consumer Durable |
1.16 |
0.58 |
1.17 |
0.58 |
1.29 |
0.78 |
1.00 |
0.87 |
1.01 |
0.67 |
|
FMCG |
0.55 |
0.41 |
0.47 |
0.36 |
0.29 |
0.19 |
0.04 |
0.01 |
-0.04 |
0.01 |
|
HealthCare |
0.65 |
0.49 |
0.69 |
0.56 |
0.32 |
0.20 |
0.23 |
0.15 |
0.10 |
0.02 |
|
IT |
0.79 |
0.38 |
0.81 |
0.50 |
0.73 |
0.55 |
0.54 |
0.53 |
0.45 |
0.30 |
|
Metal |
1.48 |
0.71 |
1.76 |
0.64 |
1.43 |
0.62 |
1.81 |
0.89 |
2.03 |
0.88 |
|
Oil & Gas |
1.03 |
0.67 |
0.99 |
0.63 |
1.15 |
0.70 |
1.50 |
0.91 |
1.62 |
0.78 |
|
Power |
1.20 |
0.77 |
1.23 |
0.79 |
1.31 |
0.58 |
1.43 |
0.61 |
1.33 |
0.63 |
|
Bank |
1.21 |
0.74 |
1.19 |
0.78 |
1.07 |
0.82 |
1.02 |
0.93 |
1.07 |
0.95 |
|
Realty |
2.06 |
0.62 |
1.74 |
0.54 |
1.27 |
0.54 |
1.47 |
0.71 |
1.88 |
0.55 |
Table 6 Pairwise Granger Causality Tests
|
Sector1 |
Sector2 |
Obs |
F-Stat |
Prob. |
Relationship |
Decision |
|
D(BANKEX) |
D(AUTO) |
3566 |
13.0528 |
2.00E-06 |
Univariate |
Significant |
|
D(AUTO) |
D(BANKEX) |
|
1.59698 |
0.2027 |
No Causality |
Not Significant |
|
D(CAPGOODS) |
D(AUTO) |
4064 |
0.72691 |
0.4835 |
No Causality |
Not Significant |
|
D(AUTO) |
D(CAPGOODS) |
|
0.94782 |
0.3877 |
No Causality |
Not Significant |
|
D(CONSDUR) |
D(AUTO) |
4064 |
0.32467 |
0.7228 |
No Causality |
Not Significant |
|
D(AUTO) |
D(CONSDUR) |
|
28.4497 |
5.00E-13 |
Univariate |
Significant |
|
D(FMCG) |
D(AUTO) |
4064 |
0.04704 |
0.9541 |
No Causality |
Not Significant |
|
D(AUTO) |
D(FMCG) |
|
5.96694 |
0.0026 |
Univariate |
Significant |
|
D(HEALTH) |
D(AUTO) |
4064 |
3.74028 |
0.0238 |
Bivariate |
Significant |
|
D(AUTO) |
D(HEALTH) |
|
8.85128 |
0.0001 |
Bivariate |
Significant |
|
D(IT) |
D(AUTO) |
4064 |
0.49826 |
0.6076 |
No Causality |
Not Significant |
|
D(AUTO) |
D(IT) |
|
4.32824 |
0.0133 |
Univariate |
Significant |
|
D(METAL) |
D(AUTO) |
4064 |
0.36123 |
0.6968 |
No Causality |
Not Significant |
|
D(AUTO) |
D(METAL) |
|
0.45401 |
0.6351 |
No Causality |
Not Significant |
|
D(OIL) |
D(AUTO) |
4064 |
0.14526 |
0.8648 |
No Causality |
Not Significant |
|
D(AUTO) |
D(OIL) |
|
0.01424 |
0.9859 |
No Causality |
Not Significant |
|
D(POWER) |
D(AUTO) |
2807 |
0.60501 |
0.5461 |
No Causality |
Not Significant |
|
D(AUTO) |
D(POWER) |
|
0.84938 |
0.4278 |
No Causality |
Not Significant |
|
D(REALTY) |
D(AUTO) |
2556 |
1.15856 |
0.3141 |
No Causality |
Not Significant |
|
D(AUTO) |
D(REALTY) |
|
0.21235 |
0.8087 |
No Causality |
Not Significant |
|
D(SENSEX) |
D(AUTO) |
4064 |
3.09115 |
0.0456 |
Univariate |
Significant |
|
D(AUTO) |
D(SENSEX) |
|
1.86062 |
0.1557 |
No Causality |
Not Significant |
|
D(CAPGOODS) |
D(BANKEX)) |
3566 |
1.5953 |
0.203 |
No Causality |
Not Significant |
|
D(BANKEX) |
D(CAPGOODS) |
|
18.4714 |
1.00E-08 |
Univariate |
Significant |
|
D(CONSDUR) |
D(BANKEX)) |
3566 |
5.43784 |
0.0044 |
Bivariate |
Significant |
|
D(BANKEX) |
D(CONSDUR) |
|
36.3689 |
2.00E-16 |
Bivariate |
Significant |
|
D(FMCG) |
D(BANKEX)) |
3566 |
5.37933 |
0.0046 |
Bivariate |
Significant |
|
D(BANKEX) |
D(FMCG) |
|
5.51351 |
0.0041 |
Bivariate |
Significant |
|
D(HEALTH) |
D(BANKEX)) |
3566 |
11.7137 |
9.00E-06 |
Bivariate |
Significant |
|
D(BANKEX) |
D(HEALTH) |
|
10.6282 |
3.00E-05 |
Bivariate |
Significant |
|
D(IT) |
D(BANKEX)) |
3566 |
1.31723 |
0.268 |
No Causality |
Not Significant |
|
D(BANKEX) |
D(IT) |
|
0.6617 |
0.516 |
No Causality |
Not Significant |
|
D(METAL) |
D(BANKEX)) |
3566 |
3.54227 |
0.029 |
Bivariate |
Significant |
|
D(BANKEX) |
D(METAL) |
|
8.9159 |
0.0001 |
Bivariate |
Significant |
|
D(OIL) |
D(BANKEX)) |
3566 |
1.72781 |
0.1778 |
No Causality |
Not Significant |
|
D(BANKEX) |
D(OIL) |
|
11.1094 |
2.00E-05 |
Univariate |
Significant |
|
D(POWER) |
D(BANKEX)) |
2807 |
1.12461 |
0.3249 |
No Causality |
Not Significant |
|
D(BANKEX) |
D(POWER) |
|
11.8023 |
8.00E-06 |
Univariate |
Significant |
|
D(REALTY) |
D(BANKEX)) |
2556 |
1.89522 |
0.1505 |
No Causality |
Not Significant |
|
D(BANKEX) |
D(REALTY) |
|
5.80014 |
0.0031 |
Univariate |
Significant |
|
D(SENSEX) |
D(BANKEX)) |
3566 |
1.95325 |
0.142 |
No Causality |
Not Significant |
|
D(BANKEX) |
D(SENSEX) |
|
6.71215 |
0.0012 |
Univariate |
Significant |
|
D(CONSDUR) |
D(CAPGOODS) |
4064 |
0.31054 |
0.7331 |
No Causality |
Not Significant |
|
D(CAPGOODS) |
D(CONSDUR) |
|
18.8183 |
7.00E-09 |
Univariate |
Significant |
|
D(FMCG) |
D(CAPGOODS) |
4064 |
1.13708 |
0.3209 |
No Causality |
Not Significant |
|
D(CAPGOODS) |
D(FMCG) |
|
6.80123 |
0.0011 |
Univariate |
Significant |
|
D(HEALTH) |
D(CAPGOODS) |
4064 |
3.52203 |
0.0296 |
Bivariate |
Significant |
|
D(CAPGOODS) |
D(HEALTH) |
|
3.52781 |
0.0295 |
Bivariate |
Significant |
|
D(IT) |
D(CAPGOODS) |
4064 |
0.20333 |
0.816 |
No Causality |
Not Significant |
|
D(CAPGOODS) |
D(IT) |
|
7.71308 |
0.0005 |
Univariate |
Significant |
|
D(METAL) |
D(CAPGOODS) |
4064 |
2.16446 |
0.1149 |
No Causality |
Not Significant |
|
D(CAPGOODS) |
D(METAL) |
|
1.4425 |
0.2365 |
No Causality |
Not Significant |
|
D(OIL) |
D(CAPGOODS) |
4064 |
2.09668 |
0.123 |
No Causality |
Not Significant |
|
D(CAPGOODS) |
D(OIL) |
|
1.6395 |
0.1942 |
No Causality |
Not Significant |
|
D(POWER) |
D(CAPGOODS) |
2807 |
2.29419 |
0.101 |
No Causality |
Not Significant |
|
D(CAPGOODS) |
D(POWER) |
|
2.18632 |
0.1125 |
No Causality |
Not Significant |
|
D(REALTY) |
D(CAPGOODS) |
2556 |
3.33 |
0.0359 |
Univariate |
Significant |
|
D(CAPGOODS) |
D(REALTY) |
|
1.39068 |
0.2491 |
No Causality |
Not Significant |
|
D(SENSEX) |
D(CAPGOODS) |
4064 |
7.25564 |
0.0007 |
Univariate |
Significant |
|
D(CAPGOODS) |
D(SENSEX) |
|
0.4989 |
0.6072 |
No Causality |
Not Significant |
|
D(FMCG) |
D(CONSDUR) |
4064 |
2.86728 |
0.057 |
No Causality |
Not Significant |
|
D(CONSDUR) |
D(FMCG) |
|
0.33309 |
0.7167 |
No Causality |
Not Significant |
|
D(HEALTH) |
D(CONSDUR) |
4064 |
3.57046 |
0.0282 |
Univariate |
Significant |
|
D(CONSDUR) |
D(HEALTH) |
|
2.1471 |
0.117 |
No Causality |
Not Significant |
|
D(IT) |
D(CONSDUR) |
4064 |
1.7893 |
0.1672 |
No Causality |
Not Significant |
|
D(CONSDUR) |
D(IT) |
|
3.4955 |
0.0304 |
Univariate |
Significant |
|
D(METAL) |
D(CONSDUR) |
4064 |
10.2338 |
4.00E-05 |
Univariate |
Significant |
|
D(CONSDUR) |
D(METAL) |
|
1.88114 |
0.1525 |
No Causality |
Not Significant |
|
D(OIL) |
D(CONSDUR) |
4064 |
10.6779 |
2.00E-05 |
Univariate |
Significant |
|
D(CONSDUR) |
D(OIL) |
|
0.80135 |
0.4488 |
No Causality |
Not Significant |
|
D(POWER) |
D(CONSDUR) |
2807 |
8.54256 |
0.0002 |
Univariate |
Significant |
|
D(CONSDUR) |
D(POWER) |
|
1.47089 |
0.2299 |
No Causality |
Not Significant |
|
D(REALTY) |
D(CONSDUR) |
2556 |
6.90424 |
0.001 |
Univariate |
Significant |
|
D(CONSDUR) |
D(REALTY) |
|
0.68141 |
0.506 |
No Causality |
Not Significant |
|
D(SENSEX) |
D(CONSDUR) |
4064 |
24.1192 |
4.00E-11 |
Univariate |
Significant |
|
D(CONSDUR) |
D(SENSEX) |
|
1.55716 |
0.2109 |
No Causality |
Not Significant |
|
D(HEALTH) |
D(FMCG) |
4064 |
3.73843 |
0.0239 |
Bivariate |
Significant |
|
D(FMCG) |
D(HEALTH) |
|
10.2289 |
4.00E-05 |
Bivariate |
Significant |
|
D(IT) |
D(FMCG) |
4064 |
0.49927 |
0.607 |
No Causality |
Not Significant |
|
D(FMCG) |
D(IT) |
|
8.82945 |
0.0001 |
Univariate |
Significant |
|
D(METAL) |
D(FMCG) |
4064 |
3.23711 |
0.0394 |
Univariate |
Significant |
|
D(FMCG) |
D(METAL) |
|
1.56745 |
0.2087 |
No Causality |
Not Significant |
|
D(OIL) |
D(FMCG) |
4064 |
2.74363 |
0.0645 |
No Causality |
Not Significant |
|
D(FMCG) |
D(OIL) |
|
2.95113 |
0.0524 |
No Causality |
Not Significant |
|
D(POWER) |
D(FMCG) |
2807 |
2.03837 |
0.1304 |
No Causality |
Not Significant |
|
D(FMCG) |
D(POWER) |
|
0.73154 |
0.4813 |
No Causality |
Not Significant |
|
D(REALTY) |
D(FMCG) |
2556 |
0.96126 |
0.3826 |
No Causality |
Not Significant |
|
D(FMCG) |
D(REALTY) |
|
0.81188 |
0.4441 |
No Causality |
Not Significant |
|
D(SENSEX) |
D(FMCG) |
4064 |
2.45167 |
0.0863 |
No Causality |
Not Significant |
|
D(FMCG) |
D(SENSEX) |
|
5.08892 |
0.0062 |
Univariate |
Significant |
|
D(IT) |
D(HEALTH) |
4064 |
2.21014 |
0.1098 |
No Causality |
Not Significant |
|
D(HEALTH) |
D(IT) |
|
3.99674 |
0.0184 |
Univariate |
Significant |
|
D(METAL) |
D(HEALTH) |
4064 |
0.36878 |
0.6916 |
No Causality |
Not Significant |
|
D(HEALTH) |
D(METAL) |
|
4.13792 |
0.016 |
Univariate |
Significant |
|
D(OIL) |
D(HEALTH) |
4064 |
0.30333 |
0.7384 |
No Causality |
Not Significant |
|
D(HEALTH) |
D(OIL) |
|
4.46687 |
0.0115 |
Univariate |
Significant |
|
D(POWER) |
D(HEALTH) |
2807 |
1.15605 |
0.3149 |
No Causality |
Not Significant |
|
D(HEALTH) |
D(POWER) |
|
3.33382 |
0.0358 |
Univariate |
Significant |
|
D(REALTY) |
D(HEALTH) |
2556 |
0.06984 |
0.9325 |
No Causality |
Not Significant |
|
D(HEALTH) |
D(REALTY) |
|
0.83202 |
0.4353 |
No Causality |
Not Significant |
|
D(SENSEX) |
D(HEALTH) |
4064 |
5.51042 |
0.0041 |
Bivariate |
Significant |
|
D(HEALTH) |
D(SENSEX) |
|
8.18186 |
0.0003 |
Bivariate |
Significant |
|
D(METAL) |
D(IT) |
4064 |
16.4582 |
8.00E-08 |
Univariate |
Significant |
|
D(IT) |
D(METAL) |
|
0.33158 |
0.7178 |
No Causality |
Not Significant |
|
D(OIL) |
D(IT) |
4064 |
11.1485 |
1.00E-05 |
Univariate |
Significant |
|
D(IT) |
D(OIL) |
|
0.09883 |
0.9059 |
No Causality |
Not Significant |
|
D(POWER) |
D(IT) |
2807 |
2.85039 |
0.058 |
No Causality |
Not Significant |
|
D(IT) |
D(POWER) |
|
2.10398 |
0.1222 |
No Causality |
Not Significant |
|
D(REALTY) |
D(IT) |
2556 |
4.67904 |
0.0094 |
Univariate |
Significant |
|
D(IT) |
D(REALTY) |
|
1.13653 |
0.3211 |
No Causality |
Not Significant |
|
D(SENSEX) |
D(IT) |
4064 |
15.6175 |
2.00E-07 |
Univariate |
Significant |
|
D(IT) |
D(SENSEX) |
|
0.00997 |
0.9901 |
No Causality |
Not Significant |
|
D(OIL) |
D(METAL) |
4064 |
4.50367 |
0.0111 |
Univariate |
Significant |
|
D(METAL) |
D(OIL) |
|
1.51704 |
0.2195 |
No Causality |
Not Significant |
|
D(POWER) |
D(METAL) |
2807 |
3.43709 |
0.0323 |
Univariate |
Significant |
|
D(METAL) |
D(POWER) |
|
3.53292 |
0.0293 |
Univariate |
Significant |
|
D(REALTY) |
D(METAL) |
2556 |
1.26083 |
0.2836 |
No Causality |
Not Significant |
|
D(METAL) |
D(REALTY) |
|
0.30184 |
0.7395 |
No Causality |
Not Significant |
|
D(SENSEX) |
D(METAL) |
4064 |
6.21872 |
0.002 |
Bivariate |
Significant |
|
D(METAL) |
D(SENSEX) |
|
6.82538 |
0.0011 |
Bivariate |
Significant |
|
D(POWER) |
D(OIL) |
2807 |
2.16521 |
0.1149 |
No Causality |
Not Significant |
|
D(OIL) |
D(POWER) |
|
3.36423 |
0.0347 |
Univariate |
Significant |
|
D(REALTY) |
D(OIL) |
2556 |
2.60524 |
0.0741 |
No Causality |
Not Significant |
|
D(OIL) |
D(REALTY) |
|
1.86336 |
0.1554 |
No Causality |
Not Significant |
|
D(SENSEX) |
D(OIL) |
4064 |
4.6228 |
0.0099 |
Univariate |
Significant |
|
D(OIL) |
D(SENSEX) |
|
2.427 |
0.0884 |
No Causality |
Not Significant |
|
D(REALTY) |
D(POWER) |
2556 |
5.62653 |
0.0036 |
Bivariate |
Significant |
|
D(POWER) |
D(REALTY) |
|
8.2727 |
0.0003 |
Bivariate |
Significant |
|
D(SENSEX) |
D(POWER) |
2807 |
5.6651 |
0.0035 |
Univariate |
Significant |
|
D(POWER) |
D(SENSEX) |
|
0.73657 |
0.4788 |
No Causality |
Not Significant |
|
D(SENSEX) |
D(REALTY) |
2556 |
4.39819 |
0.0124 |
Univariate |
Significant |
|
D(REALTY) |
D(SENSEX) |
|
2.95233 |
0.0524 |
No Causality |
Not Significant |
Unit Root Test:
For testing this daily time series data of various indices for the same period was taken and tests were conducted through E-views 8. Granger and New bold (1974)5 observed results from the VAR models with non-stationary series will be spurious. To perform Granger causality it was necessary to check whether all the time series variables are stationary and have no Unit Root Problem. The augmented Dicky–Fuller test (Dickey, Bell and Miller, 1986)4 was used to examine whether the series are stationary or not.
![]()
All the series of Indices were non stationary at level however on taking their first difference the series were converted into stationary series
Granger Causality Test:
Variables are supposed to be Granger cause over each other if variable X over a period of time influences another variable such as Z if it is observed that the prediction of Value Z is based on its own past value and also based on past value of X and predictions are better than predicting based on past vale of Variable Y itself Granger causality was tested on first difference series where Null Hypothesis was that there was no Granger Causality between both variables. Before testing for Granger Causality suitable lag order was obtained by Akaike information criterion which indicated that lag order of two as seen from Table 6. Three type of relationship was identified between sectors which were Univariate where only one sector or indices has lead or lagged relationship with other. Bivariate relationship where both indices were influencing each other and thirdly some sectors showed no relationship over each other movement. The nature of relationship was identified by F-value and its significance at 0.05 level was observed by corresponding p-value On testing for Granger Causality between sectors and Market for two lags in first difference return Banking was observed having influence on all sectors other than IT. Similarly Health Sector was also Granger causing all the sector except Realty. Market (Sensex) was influencing almost all the sector other than FMCG. Market has shown Bivariate Relationship with Health and Metal Indices. Movement in IT Sector has not significantly influence to any other sector movement and Market. Banking Sector depicted bivariate relationship with four sectors and univariate leading indicator for six sectors
FINDINGS OF STUDY:
1) When the investment is monthly there is no substantial difference in return across various sectors however when the investment horizon is more than year then there exists difference across various returns. In terms of risk reward ratio FMCG and Health care Sector are the best performer whereas Realty and Power have the worst risk reward ratio
2) There exist high degree of correlation among returns across various sectors however when the investment horizon is for more than five years there is negative correlation of FMCG with Power and Metal sector
3) FMCG and Health Sectors are the most defensive sectors and ideal for conservative investors and Capital Goods , Metal and Realty are aggressive and most sensitive sectors
4) IT Sector is least dependent on Overall market Performance and thus variations in this sector is largely because of other Non-Systematic factors
5) Returns in Banking Sectors are largely explained by market conditions and sector performance is primarily because of systematic risk
6) Movement of FMCG Index is not influenced by any other Sector Indices or market as a whole
7) Movement in Banking sector are highly influenced by other sectors and is also influencing movement in other sectors
CONCLUSION:
Study has tried to decipher relationship between returns of various sectoral indices and also of market. It was observed that certain sectors such as Auto, Capital goods and Bank have delivered better return than market(Sensex) as a whole however in terms of Reward risk ratio FMCG and Health Sector have shown a better risk and reward ratio. Both these sectors are also less influence by changes in other sectors. This can be an indicator for investor building portfolio can think of exposure in these sectors for getting some safe returns.
REFERENCES:
1. Bekaert, G., Hodrick, R., and Zhang, X. (2009). International stocks return co-movements. The Journal of Finance, 64(6), 2591–2626.
2. Cao, D., Long, W., and Yang, W. (2013). Sector Indices Correlation Analysis in China's Stock Market. Procedia Computer Science, 17, 1241-1249.
3. Demirer, R., and Lien, D. (2005). Correlation and return dispersion dynamics in Chinese markets. International Review of Financial Analysis, 14(4), 477-491.
4. Dickey, D.A., Bell, W.R., and Miller, R.B. (1986). Unit roots in time series models: Tests and implications. The American Statistician, 40(1), 12–26.
5. Granger, C.W.J. (1969). Investigating Causal Relations by Econometric Models and Cross Spectral Methods.Econometrica.37:424-35.
6. Gupta, H. (2015). A study on performance of Sensex and Evaluation of Investing Lumpsum or Monthly Regular Investment in Equity on Risk and Return for Investor , International Journal of Development Research Vol. 5, Issue, 04, pp. 4323-4327, April, 2015
7. Gupta, H. (2016). A Study on Evaluating P/E and its Relationship with the Return for NIFTY. International Journal of Innovative Research and Development|| ISSN 2278–0211, 5(7).
8. P. S. Lakshmi, “Volatility patterns in various sectoral indices in Indian stock market,” Global Journal of Management and Business Studies, vol. 3, no. 8, pp. 879-886, 2013.
9. Poshakwale, S. (2002). The random walk hypothesis in the emerging Indian stock market. Journal of Business Finance and Accounting, 29(9‐10), 1275-1299.
10. Prabahar, R., Dhinakaran, J., and Pandian, P. (2008). Return and risk analysis of indian information technology sector stocks. The ICFAI Journal of Financial Risk Management, 5, 41-49.
11. S. Rajamohan and M. Muthukamu, “Bank nifty index and other sectoral indices of NSE-A comparative study,” PARIPEX-Indian Journal of Research, vol. 3, no. 4, pp. 147-149, 2014.
12. Shanmugasundaram D., and Benedict, D. J. (2013). Volatility of the Indian sectoral indices–A study with reference to National Stock Exchange. International Journal of Marketing, Financial Services and Management Research, 2(8), 1-11.
Received on 03.04.2017 Modified on 18.04.2017
Accepted on 21.05.2017 © A&V Publications all right reserved
Asian J. Management; 2017; 8(3):789-799.
DOI: 10.5958/2321-5763.2017.00125.1