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Higher-Order Terms in Bivariate Returns to International Stock Market Indices

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  • Kirt C. Butler

    (Michigan State University, U.S.A.)

  • Katsushi Okada

    (Michigan State University, U.S.A.)

Abstract

This article documents the stochastic properties of bivariate returns to international stock market indices. In particular, the article searches for the best fit among a class of higher-order VARMA(u,v)-EGARCH(p,q) models with normal errors and a constant conditional correlation using MSCI domestic and world-ex-domestic index pairs for the Emu, Japan, the United Kingdom, and the United States. Although a first-order VAR or VMA specification is sufficient to accommodate the conditional means, second-order EGARCH terms are necessary in two of the four bivariate series.

Suggested Citation

  • Kirt C. Butler & Katsushi Okada, 2008. "Higher-Order Terms in Bivariate Returns to International Stock Market Indices," Multinational Finance Journal, Multinational Finance Journal, vol. 12(1-2), pages 127-155, March-Jun.
    • Handle: RePEc:mfj:journl:v:12:y:2008:i:1-2:p:127-155
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    as
    1. He, Changli & Teräsvirta, Timo & Malmsten, Hans, 2002. "Moment Structure Of A Family Of First-Order Exponential Garch Models," Econometric Theory, Cambridge University Press, vol. 18(4), pages 868-885, August.
    2. Panayiotis Theodossiou, 1998. "Financial Data and the Skewed Generalized T Distribution," Management Science, INFORMS, vol. 44(12-Part-1), pages 1650-1661, December.
    3. Mittnik, Stefan & Paolella, Marc S. & Rachev, Svetlozar T., 2002. "Stationarity of stable power-GARCH processes," Journal of Econometrics, Elsevier, vol. 106(1), pages 97-107, January.
    4. Babsiri, Mohamed El & Zakoian, Jean-Michel, 2001. "Contemporaneous asymmetry in GARCH processes," Journal of Econometrics, Elsevier, vol. 101(2), pages 257-294, April.
    5. Richard T. Baillie & Aydin A. Cecen & Young-Wook Han, 2000. "High Frequency Deutsche Mark-US Dollar Returns: FIGARCH Representations and Non Linearities," Multinational Finance Journal, Multinational Finance Journal, vol. 4(3-4), pages 247-267, September.
    6. Cheung, Yin-Wong & Ng, Lilian K, 1992. "Stock Price Dynamics and Firm Size: An Empirical Investigation," Journal of Finance, American Finance Association, vol. 47(5), pages 1985-1997, December.
    7. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-384, March.
    8. Glosten, Lawrence R & Jagannathan, Ravi & Runkle, David E, 1993. "On the Relation between the Expected Value and the Volatility of the Nominal Excess Return on Stocks," Journal of Finance, American Finance Association, vol. 48(5), pages 1779-1801, December.
    9. Engle, Robert F & Ng, Victor K, 1993. "Measuring and Testing the Impact of News on Volatility," Journal of Finance, American Finance Association, vol. 48(5), pages 1749-1778, December.
    10. Pagan, Adrian R. & Schwert, G. William, 1990. "Alternative models for conditional stock volatility," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 267-290.
    11. David Hirshleifer, 2001. "Investor Psychology and Asset Pricing," Journal of Finance, American Finance Association, vol. 56(4), pages 1533-1597, August.
    12. White, Halbert, 1982. "Maximum Likelihood Estimation of Misspecified Models," Econometrica, Econometric Society, vol. 50(1), pages 1-25, January.
    13. Bollerslev, Tim & Engle, Robert F & Wooldridge, Jeffrey M, 1988. "A Capital Asset Pricing Model with Time-Varying Covariances," Journal of Political Economy, University of Chicago Press, vol. 96(1), pages 116-131, February.
    14. Kim, Dongcheol & Kon, Stanley J, 1994. "Alternative Models for the Conditional Heteroscedasticity of Stock Returns," The Journal of Business, University of Chicago Press, vol. 67(4), pages 563-598, October.
    15. Yi-Ting Chen & Chung-Ming Kuan, 2002. "Time irreversibility and EGARCH effects in US stock index returns," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 17(5), pages 565-578.
    16. Tse, Yiuman, 1998. "International transmission of information: evidence from the Euroyen and Eurodollar futures markets," Journal of International Money and Finance, Elsevier, vol. 17(6), pages 909-929, December.
    17. Lobo, Bento J, 2000. "Asymmetric Effects of Interest Rate Changes on Stock Prices," The Financial Review, Eastern Finance Association, vol. 35(3), pages 125-143, August.
    18. French, Kenneth R. & Roll, Richard, 1986. "Stock return variances : The arrival of information and the reaction of traders," Journal of Financial Economics, Elsevier, vol. 17(1), pages 5-26, September.
    19. Kai-Li Wang & Christopher Fawson & Christopher B. Barrett & James B. McDonald, 2001. "A flexible parametric GARCH model with an application to exchange rates," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(4), pages 521-536.
    20. Rabemananjara, R & Zakoian, J M, 1993. "Threshold Arch Models and Asymmetries in Volatility," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(1), pages 31-49, Jan.-Marc.
    21. Booth, G. Geoffrey & Martikainen, Teppo & Tse, Yiuman, 1997. "Price and volatility spillovers in Scandinavian stock markets," Journal of Banking & Finance, Elsevier, vol. 21(6), pages 811-823, June.
    22. Fornari, Fabio & Mele, Antonio, 1997. "Sign- and Volatility-Switching ARCH Models: Theory and Applications to International Stock Markets," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(1), pages 49-65, Jan.-Feb..
    23. He, Changli & Terasvirta, Timo, 1999. "Properties of moments of a family of GARCH processes," Journal of Econometrics, Elsevier, vol. 92(1), pages 173-192, September.
    24. Bollerslev, Tim, 1990. "Modelling the Coherence in Short-run Nominal Exchange Rates: A Multivariate Generalized ARCH Model," The Review of Economics and Statistics, MIT Press, vol. 72(3), pages 498-505, August.
    25. Lo, Andrew W. & Craig MacKinlay, A., 1990. "An econometric analysis of nonsynchronous trading," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 181-211.
    26. Michael Jacobs Jr. & Joseph Onochie, 1998. "A bivariate generalized autoregressive conditional heteroscedasticity‐in‐mean study of the relationship between return variability and trading volume in international futures markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 18(4), pages 379-397, June.
    27. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
    28. Tse, Yiuman & Booth, G. Geoffrey, 1996. "Common volatility and volatility spillovers between U.S. and Eurodollar interest rates: Evidence from the futures market," Journal of Economics and Business, Elsevier, vol. 48(3), pages 299-312, August.
    29. Nelson, Daniel B, 1991. "Conditional Heteroskedasticity in Asset Returns: A New Approach," Econometrica, Econometric Society, vol. 59(2), pages 347-370, March.
    30. Wu, Guojun, 2001. "The Determinants of Asymmetric Volatility," The Review of Financial Studies, Society for Financial Studies, vol. 14(3), pages 837-859.
    31. Bollerslev, Tim & Ole Mikkelsen, Hans, 1996. "Modeling and pricing long memory in stock market volatility," Journal of Econometrics, Elsevier, vol. 73(1), pages 151-184, July.
    32. Roman Liesenfeld & Robert C. Jung, 2000. "Stochastic volatility models: conditional normality versus heavy-tailed distributions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(2), pages 137-160.
    33. Christofi, A. & Pericli, A., 1999. "Correlation in price changes and volatility of major Latin American stock markets," Journal of Multinational Financial Management, Elsevier, vol. 9(1), pages 79-93, January.
    34. Jeff Fleming & Chris Kirby & Barbara Ostdiek, 2001. "The Economic Value of Volatility Timing," Journal of Finance, American Finance Association, vol. 56(1), pages 329-352, February.
    35. Hazem Daouk & Jie Qun Guo, 2004. "Switching asymmetric GARCH and options on a volatility index," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 24(3), pages 251-282, March.
    36. Kroner, Kenneth F & Ng, Victor K, 1998. "Modeling Asymmetric Comovements of Asset Returns," The Review of Financial Studies, Society for Financial Studies, vol. 11(4), pages 817-844.
    37. Konstantinos Kassimatis, 2002. "Financial liberalization and stock market volatility in selected developing countries," Applied Financial Economics, Taylor & Francis Journals, vol. 12(6), pages 389-394.
    38. Cao, C Q & Tsay, R S, 1992. "Nonlinear Time-Series Analysis of Stock Volatilities," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(S), pages 165-185, Suppl. De.
    39. François Longin & Bruno Solnik, 2001. "Extreme Correlation of International Equity Markets," Journal of Finance, American Finance Association, vol. 56(2), pages 649-676, April.
    40. Christie, Andrew A., 1982. "The stochastic behavior of common stock variances : Value, leverage and interest rate effects," Journal of Financial Economics, Elsevier, vol. 10(4), pages 407-432, December.
    41. Gregory Koutmos, 2000. "Dynamic interactions between stock and foreign exchange markets," Global Business and Economics Review, Inderscience Enterprises Ltd, vol. 2(2), pages 143-158.
    42. Butler, K. C. & Joaquin, D. C., 2002. "Are the gains from international portfolio diversification exaggerated? The influence of downside risk in bear markets," Journal of International Money and Finance, Elsevier, vol. 21(7), pages 981-1011, December.
    43. Nikitas Niarchos & Yiuman Tse & Chunchi Wu & Allan Young, 1999. "International Transmission of Information: A Study of the Relationship Between the U.S. and Greek Stock Markets," Multinational Finance Journal, Multinational Finance Journal, vol. 3(1), pages 19-40, March.
    44. Yin-Wong Cheung & Hung-Gay Fung, 1997. "Information Flows Between Eurodollar Spot and Futures Markets," Multinational Finance Journal, Multinational Finance Journal, vol. 1(4), pages 255-271, December.
    45. Fleming, Jeff & Kirby, Chris & Ostdiek, Barbara, 2003. "The economic value of volatility timing using "realized" volatility," Journal of Financial Economics, Elsevier, vol. 67(3), pages 473-509, March.
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    2. Stephen Matteo Miller, 2012. "Booms and Busts as Exchange Options," Multinational Finance Journal, Multinational Finance Journal, vol. 16(3-4), pages 189-223, September.

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    More about this item

    Keywords

    higher-order; bivariate; international diversification; EGARCH; VARMA;
    All these keywords.

    JEL classification:

    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C34 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Truncated and Censored Models; Switching Regression Models

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