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Study Of Variance Of Sectoral Indices Return And Market Index Return Presented by: Venkata Vijay P
Literature Review ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Literature Review ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Objective  ,[object Object],[object Object]
Indices ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Stages involved  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Model 1 (10 indices) Information and Health indice are excluded in step regression process Model R R Square Adjusted R Square Std. Error of the Estimate Durbin-Watson dimension0 8 .993 h .986 .985 .0048194 2.191 Model Unstandardized Coefficients Standardized Coefficients t Sig. Collinearity Statistics B Std. Error Beta Tolerance VIF 8 (Constant) .000 .000 -1.573 .117 OilGas .234 .012 .274 20.083 .000 .293 3.417 Bankex .190 .009 .267 19.981 .000 .306 3.270 Teck .271 .013 .260 21.010 .000 .356 2.812 CapitalGoods .143 .012 .187 12.454 .000 .242 4.135 FMCG .093 .012 .078 8.084 .000 .582 1.719 Metal .047 .009 .075 5.043 .000 .245 4.078 Consumer -.036 .009 -.049 -4.119 .000 .381 2.627 Auto .045 .013 .048 3.455 .001 .285 3.504
Model 2 (10 indices) Information and Health index are excluded in step regression process Model R R Square Adjusted R Square Std. Error of the Estimate Durbin-Watson dimension0 8 .993 h .986 .985 .0048092 2.178 Model Unstandardized Coefficients Standardized Coefficients t Sig. Collinearity Statistics B Std. Error Beta Tolerance VIF 8 (Constant) .000 .000 -.662 .509 LnCapitalGoods .148 .012 .191 12.656 .000 .236 4.246 LnOilGas .230 .012 .269 19.648 .000 .288 3.476 LnTeck .269 .013 .259 20.900 .000 .352 2.840 LnBankex .192 .009 .269 20.187 .000 .305 3.284 LnFMCG .095 .012 .079 8.177 .000 .574 1.742 LnMetal .044 .009 .071 4.755 .000 .242 4.130 LnConsumer -.037 .009 -.050 -4.159 .000 .372 2.685 LnAuto .047 .013 .050 3.621 .000 .288 3.472
Model 3 (12 indices) Auto, Information, power and realty  indices are excluded in step regression process Model R R Square Adjusted R Square Std. Error of the Estimate Durbin-Watson dimension0 8 .995 h .991 .990 .0049564 2.311 Model Unstandardized Coefficients Standardized Coefficients t Sig. Collinearity Statistics B Std. Error Beta Tolerance VIF 8 (Constant) .000 .000 -.945 .347 Bankex .199 .014 .278 14.400 .000 .227 4.414 OilGas .258 .016 .304 16.361 .000 .244 4.104 Teck .261 .016 .248 15.897 .000 .347 2.879 CapitalGoods .152 .018 .191 8.531 .000 .168 5.963 FMCG .110 .018 .078 6.236 .000 .533 1.876 Metal .064 .013 .104 4.783 .000 .178 5.617 HealthCare -.063 .021 -.045 -3.035 .003 .392 2.551 Consumer -.033 .014 -.043 -2.399 .018 .266 3.753
Individual Index returns S.No: Industry Index R Square Standardized  Coefficient of Variable Durbin Watson  test Value 1 Auto 70.10% 0.838 2.016 2 OilGas 78.50% 0.886 2.236 3 CapitalGoods 78.20% 0.884 2.219 4 Teck 73.40% 0.857 1.985 5 Infotech 46.70% 0.683 1.898 6 HealthCare 50.30% 0.711 2.156 7 FMCG 42.20% 0.649 2.121 8 Bankex 77.90% 0.883 1.964 9 Metal 75.00% 0.866 2.438 10 Consumer 54.60% 0.739 2.254
ARIMA (10 indices) Differenced first order auto regressive model analysis of sectoral index returns w.r.t market index return Model 1 Statistics  ARIMA (0,1,0) Model Number of Predictors Model Fit statistics Ljung-Box Q(18) Number of Outliers Stationary R-squared R-squared Statistics DF Sig. BSE-Model_1 10 .533 .046 36.102 18 .007 0 Model Statistics  ARIMA (1,1,0) Model Number of Predictors Model Fit statistics Ljung-Box Q(18) Number of Outliers Stationary R-squared R-squared Statistics DF Sig. BSE-Model_1 10 .557 .094 19.860 17 .281 0
ARIMA (12 indices) Differenced first order auto regressive model analysis of sectoral index returns w.r.t market index return Model Statistics  ARIMA (0,1,0) Model Number of Predictors Model Fit statistics Ljung-Box Q(18) Number of Outliers Stationary R-squared R-squared Statistics DF Sig. BSE-Model_1 12 .567 .099 37.942 18 .004 0 Model Statistics  ARIMA (1,1,0) Model Number of Predictors Model Fit statistics Ljung-Box Q(18) Number of Outliers Stationary R-squared R-squared Statistics DF Sig. BSE-Model_1 12 .617 .203 24.106 17 .117 0
ARIMA results ,[object Object],[object Object]
GARCH model 1 Coefficient Std. Error z-stat p-value const -0.000575526 0.000283067 -2.0332 0.04203 ** Auto 0.0462931 0.0124177 3.7280 0.00019 *** OilGas 0.239516 0.0117884 20.3180 <0.00001 *** CapitalGoods 0.14569 0.0111761 13.0359 <0.00001 *** Teck 0.247552 0.0268719 9.2123 <0.00001 *** Infotech 0.0145987 0.0188261 0.7754 0.43807 HealthCare -0.0188069 0.014133 -1.3307 0.18329 FMCG 0.0951465 0.0112282 8.4739 <0.00001 *** Bankex 0.1899 0.00919175 20.6599 <0.00001 *** Metal 0.0504284 0.00908555 5.5504 <0.00001 *** Consumer -0.0317635 0.00883564 -3.5949 0.00032 *** alpha(0) 1.1038e-05 4.71899e-06 2.3391 0.01933 ** alpha(1) 0.129053 0.0726369 1.7767 0.07562 * beta(1) 0.373557 0.229661 1.6266 0.10383
GARCH Model 2 Coefficient Std. Error z-stat p-value const -0.000814061 0.00039846 -2.0430 0.04105 ** Auto 0.027777 0.0145655 1.9070 0.05652 * OilGas 0.264486 0.0153388 17.2430 <0.00001 *** CapitalGoods 0.163031 0.0209349 7.7875 <0.00001 *** Teck 0.225887 0.0329052 6.8648 <0.00001 *** Infortech 0.020244 0.0230149 0.8796 0.37907 HealthCare -0.0592089 0.0186342 -3.1774 0.00149 *** FMCG 0.098316 0.0162795 6.0392 <0.00001 *** Bankex 0.20377 0.0132983 15.3229 <0.00001 *** Metal 0.0632153 0.0135674 4.6594 <0.00001 *** Consumer -0.0311538 0.0144295 -2.1590 0.03085 ** Power -0.0116296 0.0254286 -0.4573 0.64742 Realty -0.0087497 0.0101155 -0.8650 0.38705 alpha(0) 1.59062e-05 8.13827e-06 1.9545 0.05064 * alpha(1) 0.223835 0.15887 1.4089 0.15886 beta(1) 1.5158e-012 0.447088 0.0000 1.00000
GARCH results ,[object Object],[object Object]
Conclusion ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object]
Limitations of study ,[object Object],[object Object],[object Object]
Reference  ,[object Object],[object Object],[object Object],[object Object],[object Object]
Appendix Index Base Period Base Index Value Date of Launch Method of Calculation BSE Auto ย  01 February, 1999 1000 23 August, 2004 Free-float market capitalization BSE BANKEX ย  01 January, 2002 1000 23 June, 2003 Free-float market capitalization BSE Capital Goods ย  01 February, 1999 1000 09 August, 1999 Launched on full market capitalization method and effective August 23, 2004, calculation method shifted to free-float market capitalization BSE Consumer Durables ย  01 February, 1999 1000 09 Augus, 1999 Launched on full market capitalization method and effective August 23, 2004, calculation method shifted to free-float market capitalization BSE FMCG ย  01 February, 1999 1000 09 August, 1999 Launched on full market capitalization method and effective August 23, 2004, calculation method shifted to free-float market capitalization BSE Healthcare ย  01 February, 1999 1000 09 August, 1999 Launched on full market capitalization method and effective August 23, 2004, calculation method shifted to free-float market capitalization BSE IT ย  01 February, 1999 1000 09 August, 1999 Launched on full market capitalization method and effective August 23, 2004, calculation method shifted to free-float market capitalization BSE Metal ย  01 February, 1999 1000 23 August, 2004 Free-float market capitalization BSE Oil & Gas ย  01 February, 1999 1000 23 August, 2004 Free-float market capitalization BSE Power Index ย  03 January, 2005 1000 09 November, 2007 Free-float market capitalization BSE Realty ย  2005 1000 09 July, 2007 Free-float market capitalization
Software used ,[object Object],[object Object]
Thank You

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Sector Return Vs Market Return

  • 1. Study Of Variance Of Sectoral Indices Return And Market Index Return Presented by: Venkata Vijay P
  • 2.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7. Model 1 (10 indices) Information and Health indice are excluded in step regression process Model R R Square Adjusted R Square Std. Error of the Estimate Durbin-Watson dimension0 8 .993 h .986 .985 .0048194 2.191 Model Unstandardized Coefficients Standardized Coefficients t Sig. Collinearity Statistics B Std. Error Beta Tolerance VIF 8 (Constant) .000 .000 -1.573 .117 OilGas .234 .012 .274 20.083 .000 .293 3.417 Bankex .190 .009 .267 19.981 .000 .306 3.270 Teck .271 .013 .260 21.010 .000 .356 2.812 CapitalGoods .143 .012 .187 12.454 .000 .242 4.135 FMCG .093 .012 .078 8.084 .000 .582 1.719 Metal .047 .009 .075 5.043 .000 .245 4.078 Consumer -.036 .009 -.049 -4.119 .000 .381 2.627 Auto .045 .013 .048 3.455 .001 .285 3.504
  • 8. Model 2 (10 indices) Information and Health index are excluded in step regression process Model R R Square Adjusted R Square Std. Error of the Estimate Durbin-Watson dimension0 8 .993 h .986 .985 .0048092 2.178 Model Unstandardized Coefficients Standardized Coefficients t Sig. Collinearity Statistics B Std. Error Beta Tolerance VIF 8 (Constant) .000 .000 -.662 .509 LnCapitalGoods .148 .012 .191 12.656 .000 .236 4.246 LnOilGas .230 .012 .269 19.648 .000 .288 3.476 LnTeck .269 .013 .259 20.900 .000 .352 2.840 LnBankex .192 .009 .269 20.187 .000 .305 3.284 LnFMCG .095 .012 .079 8.177 .000 .574 1.742 LnMetal .044 .009 .071 4.755 .000 .242 4.130 LnConsumer -.037 .009 -.050 -4.159 .000 .372 2.685 LnAuto .047 .013 .050 3.621 .000 .288 3.472
  • 9. Model 3 (12 indices) Auto, Information, power and realty indices are excluded in step regression process Model R R Square Adjusted R Square Std. Error of the Estimate Durbin-Watson dimension0 8 .995 h .991 .990 .0049564 2.311 Model Unstandardized Coefficients Standardized Coefficients t Sig. Collinearity Statistics B Std. Error Beta Tolerance VIF 8 (Constant) .000 .000 -.945 .347 Bankex .199 .014 .278 14.400 .000 .227 4.414 OilGas .258 .016 .304 16.361 .000 .244 4.104 Teck .261 .016 .248 15.897 .000 .347 2.879 CapitalGoods .152 .018 .191 8.531 .000 .168 5.963 FMCG .110 .018 .078 6.236 .000 .533 1.876 Metal .064 .013 .104 4.783 .000 .178 5.617 HealthCare -.063 .021 -.045 -3.035 .003 .392 2.551 Consumer -.033 .014 -.043 -2.399 .018 .266 3.753
  • 10. Individual Index returns S.No: Industry Index R Square Standardized Coefficient of Variable Durbin Watson test Value 1 Auto 70.10% 0.838 2.016 2 OilGas 78.50% 0.886 2.236 3 CapitalGoods 78.20% 0.884 2.219 4 Teck 73.40% 0.857 1.985 5 Infotech 46.70% 0.683 1.898 6 HealthCare 50.30% 0.711 2.156 7 FMCG 42.20% 0.649 2.121 8 Bankex 77.90% 0.883 1.964 9 Metal 75.00% 0.866 2.438 10 Consumer 54.60% 0.739 2.254
  • 11. ARIMA (10 indices) Differenced first order auto regressive model analysis of sectoral index returns w.r.t market index return Model 1 Statistics ARIMA (0,1,0) Model Number of Predictors Model Fit statistics Ljung-Box Q(18) Number of Outliers Stationary R-squared R-squared Statistics DF Sig. BSE-Model_1 10 .533 .046 36.102 18 .007 0 Model Statistics ARIMA (1,1,0) Model Number of Predictors Model Fit statistics Ljung-Box Q(18) Number of Outliers Stationary R-squared R-squared Statistics DF Sig. BSE-Model_1 10 .557 .094 19.860 17 .281 0
  • 12. ARIMA (12 indices) Differenced first order auto regressive model analysis of sectoral index returns w.r.t market index return Model Statistics ARIMA (0,1,0) Model Number of Predictors Model Fit statistics Ljung-Box Q(18) Number of Outliers Stationary R-squared R-squared Statistics DF Sig. BSE-Model_1 12 .567 .099 37.942 18 .004 0 Model Statistics ARIMA (1,1,0) Model Number of Predictors Model Fit statistics Ljung-Box Q(18) Number of Outliers Stationary R-squared R-squared Statistics DF Sig. BSE-Model_1 12 .617 .203 24.106 17 .117 0
  • 13.
  • 14. GARCH model 1 Coefficient Std. Error z-stat p-value const -0.000575526 0.000283067 -2.0332 0.04203 ** Auto 0.0462931 0.0124177 3.7280 0.00019 *** OilGas 0.239516 0.0117884 20.3180 <0.00001 *** CapitalGoods 0.14569 0.0111761 13.0359 <0.00001 *** Teck 0.247552 0.0268719 9.2123 <0.00001 *** Infotech 0.0145987 0.0188261 0.7754 0.43807 HealthCare -0.0188069 0.014133 -1.3307 0.18329 FMCG 0.0951465 0.0112282 8.4739 <0.00001 *** Bankex 0.1899 0.00919175 20.6599 <0.00001 *** Metal 0.0504284 0.00908555 5.5504 <0.00001 *** Consumer -0.0317635 0.00883564 -3.5949 0.00032 *** alpha(0) 1.1038e-05 4.71899e-06 2.3391 0.01933 ** alpha(1) 0.129053 0.0726369 1.7767 0.07562 * beta(1) 0.373557 0.229661 1.6266 0.10383
  • 15. GARCH Model 2 Coefficient Std. Error z-stat p-value const -0.000814061 0.00039846 -2.0430 0.04105 ** Auto 0.027777 0.0145655 1.9070 0.05652 * OilGas 0.264486 0.0153388 17.2430 <0.00001 *** CapitalGoods 0.163031 0.0209349 7.7875 <0.00001 *** Teck 0.225887 0.0329052 6.8648 <0.00001 *** Infortech 0.020244 0.0230149 0.8796 0.37907 HealthCare -0.0592089 0.0186342 -3.1774 0.00149 *** FMCG 0.098316 0.0162795 6.0392 <0.00001 *** Bankex 0.20377 0.0132983 15.3229 <0.00001 *** Metal 0.0632153 0.0135674 4.6594 <0.00001 *** Consumer -0.0311538 0.0144295 -2.1590 0.03085 ** Power -0.0116296 0.0254286 -0.4573 0.64742 Realty -0.0087497 0.0101155 -0.8650 0.38705 alpha(0) 1.59062e-05 8.13827e-06 1.9545 0.05064 * alpha(1) 0.223835 0.15887 1.4089 0.15886 beta(1) 1.5158e-012 0.447088 0.0000 1.00000
  • 16.
  • 17.
  • 18.
  • 19.
  • 20.
  • 21. Appendix Index Base Period Base Index Value Date of Launch Method of Calculation BSE Auto ย  01 February, 1999 1000 23 August, 2004 Free-float market capitalization BSE BANKEX ย  01 January, 2002 1000 23 June, 2003 Free-float market capitalization BSE Capital Goods ย  01 February, 1999 1000 09 August, 1999 Launched on full market capitalization method and effective August 23, 2004, calculation method shifted to free-float market capitalization BSE Consumer Durables ย  01 February, 1999 1000 09 Augus, 1999 Launched on full market capitalization method and effective August 23, 2004, calculation method shifted to free-float market capitalization BSE FMCG ย  01 February, 1999 1000 09 August, 1999 Launched on full market capitalization method and effective August 23, 2004, calculation method shifted to free-float market capitalization BSE Healthcare ย  01 February, 1999 1000 09 August, 1999 Launched on full market capitalization method and effective August 23, 2004, calculation method shifted to free-float market capitalization BSE IT ย  01 February, 1999 1000 09 August, 1999 Launched on full market capitalization method and effective August 23, 2004, calculation method shifted to free-float market capitalization BSE Metal ย  01 February, 1999 1000 23 August, 2004 Free-float market capitalization BSE Oil & Gas ย  01 February, 1999 1000 23 August, 2004 Free-float market capitalization BSE Power Index ย  03 January, 2005 1000 09 November, 2007 Free-float market capitalization BSE Realty ย  2005 1000 09 July, 2007 Free-float market capitalization
  • 22.