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Dependence Structure and Extreme Comovements in International Equity and Bond Markets

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  • René Garcia
  • Georges Tsafack

Abstract

Common negative extreme variations in returns are prevalent in international equity markets. This has been widely documented with statistical tools such as exceedance correlation, extreme value theory, and Gaussian bivariate GARCH or regime-switching models. We point to limits of these tools to characterize extreme dependence and propose an alternative regime-switching copula model that includes one normal regime in which dependence is symmetric and a second regime characterized by asymmetric dependence. Moreover, to fully appreciate the potential effects of this asymmetric dependence in terms of portfolio diversification, we apply this model to international equity and bond markets, to allow for inter-market movements. Empirically, we find that dependence between international assets of the same type is strong in both regimes, especially in the asymmetric one, but weak between equities and bonds, even in the same country. We study analytically how and when asymmetric dependence may amplify empirically documented phenomena such as flight to safety and home bias in portfolio allocation. Les écarts de rendement négatifs extrêmes communs existent dans les marchés boursiers internationaux. Ce phénomène a été largement démontré par des outils statistiques, tels que la corrélation des dépassements, la théorie des valeurs extrêmes et les modèles GARCH bivarié en langage Gauss ou avec changement de régime. Nous signalons les limites de ces outils pour caractériser la dépendance extrême et proposons un modèle de copules avec changement de régime, comprenant un régime normal dans lequel la dépendance est symétrique et un second régime caractérisé par une dépendance asymétrique. De plus, afin de saisir pleinement l’incidence potentielle de cette dépendance asymétrique en termes de diversification du portefeuille, nous appliquons ce modèle aux marchés internationaux des actions et des obligations, afin de permettre les mouvements entre les marchés. D’un point de vue empirique, nous constatons une forte dépendance entre les actifs internationaux de même type dans les deux régimes, surtout dans le régime asymétrique, et une faible dépendance entre les actions et les obligations, bien qu’il soit question d’un même pays. Nous procédons à un examen analytique afin de déterminer quand et comment la dépendance asymétrique peut, lors de la répartition du portefeuille, amplifier les phénomènes suivants établis empiriquement : fuite vers la sécurité et surinvestissement dans des sociétés proches du domicile.

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Bibliographic Info

Paper provided by CIRANO in its series CIRANO Working Papers with number 2009s-21.

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Date of creation: 01 May 2009
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Handle: RePEc:cir:cirwor:2009s-21

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Keywords: asymmetric correlation; asymmetric dependence; copula; tail dependence; GARCH; regime switching; home bias; flight to safety; corrélation asymétrique; dépendance asymétrique; copules; dépendance dans les queues; GARCH; changement de régime; surinvestissement dans des sociétés proches du domicile; fuite vers la sécurité;

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Cited by:
  1. Silvo Dajčman, 2013. "Interdependence Between Some Major European Stock Markets - A Wavelet Lead/Lag Analysis," Prague Economic Papers, University of Economics, Prague, vol. 2013(1), pages 28-49.
  2. repec:dgr:uvatin:2011125 is not listed on IDEAS
  3. Gatzert, Nadine & Martin, Michael, 2012. "Quantifying credit and market risk under Solvency II: Standard approach versus internal model," Insurance: Mathematics and Economics, Elsevier, vol. 51(3), pages 649-666.
  4. CHOLLETE, Loran & HEINEN, Andréas & VALDESOGO, Alfonso, 2008. "Modeling international financial returns with a multivariate regime switching copula," CORE Discussion Papers 2008013, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. Mierau, Jochen O. & Mink, Mark, 2013. "Are stock market crises contagious? The role of crisis definitions," Journal of Banking & Finance, Elsevier, vol. 37(12), pages 4765-4776.
  6. Low, Rand Kwong Yew & Alcock, Jamie & Faff, Robert & Brailsford, Timothy, 2013. "Canonical vine copulas in the context of modern portfolio management: Are they worth it?," Journal of Banking & Finance, Elsevier, vol. 37(8), pages 3085-3099.
  7. Dirk G Baur, 2012. "The Structure and Degree of Dependence - A Quantile Regression Approach," Working Paper Series 170, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
  8. Chin Man Chui & Jian Yang, 2012. "Extreme Correlation of Stock and Bond Futures Markets: International Evidence," The Financial Review, Eastern Finance Association, vol. 47(3), pages 565-587, 08.
  9. Herrera, R. & Eichler, S., 2011. "Extreme dependence with asymmetric thresholds: Evidence for the European Monetary Union," Journal of Banking & Finance, Elsevier, vol. 35(11), pages 2916-2930, November.
  10. Boubaker, Heni & Sghaier, Nadia, 2013. "Portfolio optimization in the presence of dependent financial returns with long memory: A copula based approach," Journal of Banking & Finance, Elsevier, vol. 37(2), pages 361-377.
  11. Wang, Yi-Chiuan & Wu, Jyh-Lin & Lai, Yi-Hao, 2013. "A revisit to the dependence structure between the stock and foreign exchange markets: A dependence-switching copula approach," Journal of Banking & Finance, Elsevier, vol. 37(5), pages 1706-1719.
  12. Oleg Sokolinskiy & Dick van Dijk, 2011. "Forecasting Volatility with Copula-Based Time Series Models," Tinbergen Institute Discussion Papers 11-125/4, Tinbergen Institute.
  13. Silva Filho, Osvaldo Candido da & Ziegelmann, Flavio Augusto & Dueker, Michael J., 2012. "Modeling dependence dynamics through copulas with regime switching," Insurance: Mathematics and Economics, Elsevier, vol. 50(3), pages 346-356.
  14. Peter Christoffersen & Kris Jacobs & Xisong Jin & Hugues Langlois, 2013. "Dynamic Diversification in Corporate Credit," CREATES Research Papers 2013-46, School of Economics and Management, University of Aarhus.

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