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Portfolio construction incorporating asymmetric dependence structures: a user's guide

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  • Anthony Hatherley
  • Jamie Alcock

Abstract

We outline a method of portfolio selection incorporating asymmetric dependency structures using copula functions. Assuming normally distributed marginal returns, we illustrate how asymmetric return correlations affect the efficient frontier and subsequent portfolio performance under a dynamic rebalancing framework. Implementing this methodology within the context of tactically allocating a small set of market indices, we demonstrate several key findings. First, we establish the manner by which the efficient frontier constructed under asymmetric dependence differs from a mean-variance frontier. By establishing a paper portfolio based on these differences, we find that asymmetric correlation structures do have real economic value. The primary source of this economic value is the ability to better protect portfolio value and reduce the size of any erosion in return relative to the normal portfolio when asymmetric return correlations are accounted for. Copyright (c) The Authors Journal compilation (c) 2007 AFAANZ.

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  • Anthony Hatherley & Jamie Alcock, 2007. "Portfolio construction incorporating asymmetric dependence structures: a user's guide," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 47(3), pages 447-472.
  • Handle: RePEc:bla:acctfi:v:47:y:2007:i:3:p:447-472
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    File URL: http://www.blackwell-synergy.com/doi/abs/10.1111/j.1467-629X.2007.00219.x
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    1. repec:kap:jrefec:v:57:y:2018:i:1:d:10.1007_s11146-016-9562-3 is not listed on IDEAS
    2. Christoffersen, Peter & Langlois, Hugues, 2013. "The Joint Dynamics of Equity Market Factors," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 48(05), pages 1371-1404, October.
    3. Zhichao Zhang & Li Ding & Fan Zhang & Zhuang Zhang, 2015. "Optimal Currency Composition for China's Foreign Reserves: A Copula Approach," The World Economy, Wiley Blackwell, vol. 38(12), pages 1947-1965, December.
    4. 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.
    5. Eva Steiner & Jamie Alcock, 2011. "New Evidence on asymmetric dependence in the returns from U.S. Real Estate Estate Investment Trusts," ERES eres2011_161, European Real Estate Society (ERES).
    6. Larsen, Ryan A. & Vedenov, Dmitry V. & Leatham, David J., 2009. "Enterprise-level risk assessment of geographically diversified commercial farms: a copula approach," 2009 Annual Meeting, January 31-February 3, 2009, Atlanta, Georgia 46763, Southern Agricultural Economics Association.
    7. Jian Zhou & Yanmin Gao, 2012. "Tail Dependence in International Real Estate Securities Markets," The Journal of Real Estate Finance and Economics, Springer, vol. 45(1), pages 128-151, June.
    8. repec:kap:jrefec:v:56:y:2018:i:2:d:10.1007_s11146-016-9593-9 is not listed on IDEAS
    9. Larsen, Ryan A. & Leatham, David J. & Mjelde, James W. & Wolfley, Jared L., 2008. "Geographical Diversification: An Application of Copula Based CVaR," 2008 Agricultural and Rural Finance Markets in Transition, September 25-26, 2008, Kansas City, Missouri 119533, Regional Research Committee NC-1014: Agricultural and Rural Finance Markets in Transition.

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