Abstract
This paper explores the cross-market dependence between five popular equity indices (S&P 500, NASDAQ 100, DAX 30, FTSE 100, and Nikkei 225), and their corresponding volatility indices (VIX, VXN, VDAX, VFTSE, and VXJ). In particular, we propose a dynamic mixed copula approach which is able to capture the time-varying tail dependence coefficient (TDC). The findings indicate the existence of financial contagion and significant asymmetric TDCs for major international equity markets. In some situations, although contagion cannot be clearly detected by stock index movements, it can be captured by dependence between volatility indices. The results imply that contagion is not only reflected in the first moment of index returns, but also the second moment, i.e. the volatility. Results also show that dependence between volatility indices is more easily influenced by financial shocks and reflects the instantaneous information faster than the stock market indices.
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References
Äijö J.: Implied volatility term structure linkages between VDAX, VSMI and VSTOXX volatility indices. Glob Finance J 18, 290–302 (2008)
Alaganar V., Bhar R.: Information and volatility linkage under external shocks – evidence from dually listed australian stocks. Int Rev Finance Anal 11, 59–71 (2002)
Ammann M., Süss S.: Asymmetric dependence patterns in financial time series. Eur J Finance 15, 703–719 (2009)
Bauwens L., Laurent S.: A new class of multivariate skew densities, with application to generalized autoregressive conditional heteroscedasticity models. J Bus Econ Stat 23, 346–354 (2005)
Bekiros S., Gerogoutsos D.: The extreme-value dependence of asia-pacific equity markets. J Multinat Finance Manag 18, 197–208 (2008)
Bertero E., Mayer C.: Structure and performance: global interdependence of stock markets around the crash of October 1987. Eur Econ Rev 34, 1155–1180 (1990)
Blair B., Poon S., Taylor S.: Forecasting S&P 100 volatility: the incremental information content of implied volatilities and high-frequency index returns. J Econometr 105, 5–26 (2001)
Bollerslev T.: Modelling the coherence in short-run nominal exchange rates: a multivariate generalized arch model. Rev Econ Stat 72, 498–505 (1990)
Boyer, B., Gibson, M., Loretan, M.: Pitfalls in tests for changes in correlation. Board of Governors of the Federal Reserve System, International Finance Discussion Papers Number 597 (1999)
Chen, S., Poon, S.: Modelling international stock market contagion using copula and risk appetite. Working Paper, Manchester Business School (2007)
Cherubini U., Luciano E., Vecchiato W.: Copula Methods in Finance. Wiley, West Sussex (2004)
Chowdhury I., Sarno L.: Time-varying volatility in the foreign exchange market: new evidence on its persistence and on currency spillovers. J Bus Finance Account 31, 759–793 (2004)
Claessens S., Forbes K.: International Financial Contagion. Kluwer, Dordrecht (2001)
Cont R.: Empirical properties of asset returns: stylized facts and statistical issues. Quant Finance 1, 223–236 (2001)
Diebold F., Gunther T., Tay A.: Evaluating density forecasts with applications to financial risk management. Int Econ Rev 39, 863–883 (1998)
Dungey, M., Zhumabekova, D.: Testing for contagion using correlations: some words of caution. Pacific Basin Working Paper Series No. 01-09 (2001)
Fleming J., Ostdiek B., Whaley R.: Predicting stock market volatility: a new measure. J Future Mark 15, 265–302 (1995)
Forbes K., Rigobon R.: No contagion, only interdependence: measuring stock markets comovements. J Finance 57, 2223–2261 (2002)
Frahm G., Junker M., Schmidt R.: Estimating the tail-dependence coefficient: properties and pitfalls. Insur Math Econ 37, 80–100 (2005)
Fung J., Lien D., Tse Y., Tse Y.: Effects of electronic trading on the hang seng index futures market. Int Rev Econ Finance 14, 415–425 (2005)
Genest C., Remillard B., Beaudoin D.: Goodness-of-fit tests for copulas: a review and a power study. Insur Math Econ 44, 199–213 (2009)
Giot P.: Implied volatility indexes and daily value at risk models. J Deriv 12, 54–64 (2005)
Hansen B.: Autoregressive conditional density estimation. Int Econ Rev 35, 705–730 (1994)
Hu J.: Dependence structures in chinese and us financial markets: a time-varying conditional copula approach. Appl Finance Econ 20, 561–583 (2010)
Hu L.: Dependence patterns across financial markets: a mixed copula approach. Appl Finance Econ 16, 717–729 (2006)
Joe H.: Multivariate Models and Dependence Concepts. Chapman & Hall, London (1997)
Joe H.: Asymptotic efficiency of the two-stage estimation method for copula-based models. J Multivar Anal 94, 401–419 (2005)
Jondeau E., Rockinger M.: The Copula-GARCH model of conditional dependencies: an international stock market application. J Int Money Finance 25, 827–853 (2006)
Kaplanis E.: Stability and forecasting of the comovement measures of international stock market returns. J Int Money Finance 7, 63–75 (1988)
Kim J.: The relationship between the monetary regime and output volatility: a multivariate garch-m model of the japanese experience, 1919–1996. Jpn World Econ 12, 49–69 (2000)
King M., Wadhwani S.: Transmission of volatility between stock markets. Rev Finance Stud 3, 5–33 (1990)
Koch P., Koch T.: Evolution in dynamic linkages across daily national stock indexes. J Int Money Finance 10, 231–251 (1991)
Kroner K., Ng V.: Modeling asymmetric comovements of asset returns. Rev Finance Stud 11, 817–844 (1998)
Krylova E., Nikkinen J., Vähämaa S.: Cross-dynamics of volatility term structures implied by foreign exchange options. J Econ Bus 61, 355–375 (2009)
Longin F., Solnik B.: Extreme correlation of international equity markets. J Finance 56, 649–676 (2001)
Loretan, M., English, W.: Evaluating ‘correlation breakdowns’ during periods of market volatility. International Finance Discussion Papers, Board of Governors of the Federal Reserve System (US) No. 658 (2000)
Low C.: The fear and exuberance from implied volatility of S&P 100 index options. J Bus 77, 527–546 (2004)
Nelsen R.: An Introduction to Copulas. Springer Series in Statistics, London (1999)
Nikkinen J., Sahlstrom P.: International transmission of uncertainty implicit in stock index option prices. Glob Finance J 15, 1–15 (2004)
Nikoloulopoulos, A., Joe, H., Li, H.: Vine copulas with asymmetric tail dependence and applications to financial return data. Comp Stat Data An (2010, in press)
Ozsoylev H.: Amplification and asymmetry in crashes and frenzies. Ann Finance 4, 157–181 (2008)
Patton A.: Modelling asymmetric exchange rate dependence. Int Econ Rev 47, 527–556 (2006)
Patton A.: Estimation of multivariate models for time series of possibly different lengths. J Appl Econom 21, 147–173 (2006)
Pelletier D.: Regime switching for dynamic correlations. J Econometr 131, 445–473 (2006)
Pinheiro M.: Informational asymmetries and a multiplier effect on price correlation and trading. Ann Finance 1, 395–421 (2005)
Poon S., Granger C.: Forecasting volatility in financial markets: a review. J Econ Lit 41, 478–539 (2003)
Poon S., Rockinger M., Tawn J.: Extreme value dependence in financial markets: diagnostics, models, and financial implications. Rev Finance Stud 17, 581–610 (2004)
Ratner M.: Portfolio diversification and the inter-temporal stability of international stock indices. Glob Finance J 3, 67–77 (1992)
Rigobon R.: On the measurement of the international propagation of shocks: is the transmission stable?. J Int Econ 61, 261–283 (2003)
Rodriguez J.: Measuring financial contagion: a copula approach. J Emp Finance 14, 401–423 (2007)
Skiadopoulos G.: The greek implied volatility index: construction and properties. Appl Finance Econ 14, 1187–1196 (2004)
Sklar A.: Fonctions de répartition à n dimensions et leurs marges. Publ Inst Stat 8, 229–231 (1959)
Soriano, P., Climent, F.: Volatility transmission models: a survey. Working Paper, Department of Financial Economics, University of Valencia (2005)
Tse Y.: Residual based diagnostics for conditional heteroscedasticity models. Econometr J 5, 358–373 (2002)
Wagner N., Szimayer A.: Local and spillover shocks in implied market volatility: evidence for the U.S. and germany. Res Int Bus Finance 18, 237–251 (2004)
Xu Q., Li X.: Estimation of dynamic asymmetric tail dependences: an empirical study on asian developed futures markets. Appl Fin Econ 19, 273–290 (2009)
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Peng, Y., Ng, W.L. Analysing financial contagion and asymmetric market dependence with volatility indices via copulas. Ann Finance 8, 49–74 (2012). https://doi.org/10.1007/s10436-011-0181-y
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DOI: https://doi.org/10.1007/s10436-011-0181-y