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.

 

 


INTRODUCTION:

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.

 

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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