Open Access
Subscription Access
Open Access
Subscription Access
Volatility Analysis of National Stock Exchange of India
Subscribe/Renew Journal
The paper investigates the nature and pattern of Volatility of National Stock Exchange (NSE)'s price index namely S&P CNX Nifty. The data include daily observations for NSE price index covering period from 1st January, 2000 to 10th September, 2007. Various volatility estimators and diagnostics tests suggest certain stylized facts about volatility like volatility clustering, mean reverting and asymmetry. Lagrange Multiplier test indicates the presence of ARCH effect in the stock market. The paper applies family of ARCH models to examine the asymmetric volatility of the NSE. We find that first order GARCH model fits the data better than high order ARCH models. Our analysis suggests that the EGARCH and TARCH models outperform the conventional symmetrical GARCH models. The estimated TARCH and EGARCH parameters show that the impact of news is asymmetric, indicating there is an existence of leverage effect in future price of the stock. The Leverage effect is captured well by TARCH models in Nifty. Application of ARCH-M models found no strong evidence for high return during the period of high volatility.
Keywords
Volatility, Volatility clustering, ARCH, GARCH, EGARCH, TARCH, ARCH-M, JEL Classification: C22, C52
Subscription
Login to verify subscription
User
Font Size
Information
- Akgiray, V (1989). “Conditional Heteroscedasticity in Time Series of Stock Returns:Evidence and Forecast,” Journal of Business, 62(1), 55-80.
- Amihud,Y. and Mendelson, H(1987),”Trading Mechanism and Stock Market Returns:An Empirical Investigation, The Journal of Finance,533-55.
- Amihud,Y. and Mendelson, H(1991),”Volatility, Efficiency and Trading :Evidence from Japanese Stock Market, The Journal of Finance,1765-1789.
- Andersen, T G and Bollerslev, T ( 1998). “Answering the Skeptics: Yes, Standard Volatility Models Do Provide Accurate Forecasts, “ International Economic Review, 39(4), 885-905.
- Baillie, R T and Bollerslev, T (1991). “Intra-day and Inter-market Volatility in Foreign Exchange Rates,” Review of Economic Studies, 58(3), 567-585.
- Black,F(1976). ”Studies of Stock Price Volatility Changes,” Proceedings of 1976 Meetings of the American Statistical Association, Business and Economics Statistics Section, Washington, DC, American Statistical Association, 177-181.
- Bollersflev, Chou and Kroner(1992). “ARCH modeling in finance : A review of the theory and empirical evidence,” Journal of Econometrics, 52, 5-59.
- Bollerslev,T.(1986). “Generalised Autoregressive Conditional Heteroscedasticity”, Journal of Econometrics,. 307-327.
- Box, G E P and Jenkins, G M (1976). Time Series Analysis: Forecasting and Control, revised edition, California: Holden-Day.
- Corhay, A and Tourani, A.R. (1994).” Statistical Properties of Daily Stock Returns: Evidence from European Stock Markets,”Journal of Business Finance and Accounting, 21(2), 271-282.
- Damodar Gujarati (2004). Basic Econometrics, PHI, fourth Edition.
- David Rupport,(2006). Statistics and Finance:An Introduction, Second Edition, Springer, New York.
- Dickey D. and Fuller W, (1979), “Distribution of the estimates for Autoregressive time series with a unit ischolar_main”, Journal of American Statistical Association, Vol. 74, pp. 427-31.
- Dickey, David & Fuller (1981), “Likelihood Ratio Statistics for for Autoregressive Time Series with a Unit Root.” Econometrica, 49, 1057 – 72
- Engle R. and Ng V. K. (1993). ”Measuring and testing the impact of news on volatility”, Journal of Finance, 48, 1749-1778.
- Engle, R F and Susmel, R (1993). “Common Volatility in Internatioal Equity Markets,” Journal of Business and Economic Statistics, 11(2), 167-176.
- Engle, R. (1982). “Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of UK Inflation,” Econometrica, 50(4), 987-1008.
- Fama, E (1965). “The Behaviour of Stock Market Prices,” Journal of Business, 38(1), 34-105.
- French,K,Schewert, G and Stambaugh, R (1987). “Expected Stock Returns and Volatility,” Journal of Financial Economics, 19(1), 5-26.
- French,K.R. and Roll, R., (1986), “Stock Return Variances-The Arrival of Information and Reaction of Traders,” Journal of Financial Economics, 17, 5-26.
- Garner A.C., 1988. “Has Stock Market Crash Reduced Customer Spending?” Economic Review, Federal Reserve Bank of Kanas City, April, 3-16.
- Gertler, M. and Hubbard, R.G.,1989.” Factors in Business Fluctuations, Financial Market Volatility”, Federal Reserve Bank of Kanas City, 33-72.
- Glosten, L, Jagannathan, R and Runkle, D (1993).”On the Relation Between the Expected Value and Volatility of the Nominal Excess Returns on Stocks,” Journal of Finance, 48(5), 1779-1801.
- Goyal, R(1995). “Volatility in Stock Market Returns,”Reserve Bank of India Occasional Paper, 16(3), 175-195.
- Harris and Ronert Sollis(2006). Applied Time Series Modelling and Forecasting, John Wiley and Sons, Singapore.
- Ho, R and Cheung, Y (1994).” Seasonal Pattern in Volatility in Asian Stock Markets,” Applied Financial Economics, 4(1), 61-67.
- Karmakar M, (2006). “Modeling Conditional Volatility of the Indian Stock Markets”, Vikalpa, 30. 21-37
- Karmakar M,(2005). “Stock Market Volatility in the Long Run, 1961-2005,” Economic and Political Weekly, 1796-2000.
- Kaur, H (2002), Stock Market Volatility in India, New Delhi:Deep and Deep Publication.
- Lamoureux, C G and Lastrapes, W D (1990). “Persistence in Variance, Structural Change and the GARCH Model” Journal of Economic and Business Statistics, 8(2), 225-233
- Lee and Yool, (1991).”Time Varying Volatilites and Stock Market Returns:International Evidence,” Pacific –Basin Capital Markets Research,261-81.
- Ljung and Box(1978).”On a measure of lag fit in time series models,” Biometrica 67, 397-303.
- M.K.Roy and M.Karmakar,(1995). “Stock Market Volatility: Roots and Results,” Vikalpa,37-48.
- Mandelbrot, B (1963). “The Variation of Certain Speculative Prices,” Journal of Business, 36, 394-419.
- Nelson, D (1991). “Conditional Heteroscedasticity in Asset Returns: A New Approach,” Econometrica, 59(2), 347-370.
- Pagan A.R. and Schewert G.W. (1990). “Alternative models for conditional stock volatility,” Journal of Econometrics, 45, 267-290.
- Pandey, A (2002). “Modeling and Forecasting Volatility in Inmdian Capital Markets,” Paper published as part of the NSE Research Initiative, available at www.nseindia.com.
- Patell, J M and Wolfson, M A (1981). “The Ex-Ante and Ex-Post Price Effects of Quartely Earnings Announcement Reflected in Option and Stock Price,” Journal of Accounting Research, 19, Autumn, 434-458.
- Poon, S H and Granger, C (2003). “Forecasting Financial Market Volatility: A Review,” Journal of Economic Literature, 41(2), 478-539.
- Porterba, Jand Summers, L H (1986). “The Persistence of Volatility and Stock Market Fluctuations” American Economic Review, 76 (S), 1142 – 1151.
- Reddy, Y S (1997). “Effects of Microstructure on Stock Market Liquidity and Volatility,” Prajan, 26(2), 217-231.
- Robert Engle and Andrew Patton (2001). “What Good A Volatility Model?,”Working paper, Department of finance, NYU Stern School of Business and Economics.
- Ruey S. Tsay (2002). Analysis of Financial Time Series, 2nd Edition, John Wiley and Sons, New York.
- Schwert, G W (1990). “Stock Volatility and the Crash of 87,” Review of Financial Studies, 3(1), 77-102.
- Schwert, G.W(1989). “Why does Stock Market Volatility Change Over time?” Journal of Finance, 54, 1115-1153.
- Theierry Ane,(2006). “Short run and long term component of volatility in Hong Kong Stock return “ Applied Financial Economics, 16, 439-460.
- Walter Enders, (1995). Applied Econometrics Time Series, John Willey and Sons, New York.
- Zakoian, J. M., (1994), Threshold Heteroskedastic Models, Journal of Economic Dynamics and Control, 18, 931-55.
Abstract Views: 406
PDF Views: 2