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Portfolio allocation using multivariate variance gamma models

  • Asmerilda Hitaj

    ()

  • Lorenzo Mercuri

    ()

In this paper, we investigate empirically the effect of using higher moments in portfolio allocation when parametric and nonparametric models are used. The nonparametric model considered in this paper is the sample approach; the parametric model is constructed assuming multivariate variance gamma (MVG) joint distribution for asset returns.We consider the MVG models proposed by Madan and Seneta ( 1990 ), Semeraro ( 2008 ) and Wang ( 2009 ). We perform an out-of-sample analysis comparing the optimal portfolios obtained using the MVG models and the sample approach. Our portfolio is composed of 18 assets selected from the S&P500 Index and the dataset consists of daily returns observed from 01/04/2000 to 01/09/2011. Copyright Swiss Society for Financial Market Research 2013

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File URL: http://hdl.handle.net/10.1007/s11408-012-0202-5
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Article provided by Springer in its journal Financial Markets and Portfolio Management.

Volume (Year): 27 (2013)
Issue (Month): 1 (March)
Pages: 65-99

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Handle: RePEc:kap:fmktpm:v:27:y:2013:i:1:p:65-99
Contact details of provider: Web page: http://www.springerlink.com/link.asp?id=119763

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  1. Eric Jondeau & Michael Rockinger, 2006. "Optimal Portfolio Allocation under Higher Moments," European Financial Management, European Financial Management Association, vol. 12(1), pages 29-55.
  2. Andrew Ang & Geert Bekaert, 2002. "International Asset Allocation With Regime Shifts," Review of Financial Studies, Society for Financial Studies, vol. 15(4), pages 1137-1187.
  3. Loistl, Otto, 1976. "The Erroneous Approximation of Expected Utility by Means of a Taylor's Series Expansion: Analytic and Computational Results," American Economic Review, American Economic Association, vol. 66(5), pages 904-10, December.
  4. Rubinstein, Mark E., 1973. "The Fundamental Theorem of Parameter-Preference Security Valuation," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 8(01), pages 61-69, January.
  5. Loregian, Angela & Mercuri, Lorenzo & Rroji, Edit, 2012. "Approximation of the variance gamma model with a finite mixture of normals," Statistics & Probability Letters, Elsevier, vol. 82(2), pages 217-224.
  6. Chan, Louis K C & Karceski, Jason & Lakonishok, Josef, 1999. "On Portfolio Optimization: Forecasting Covariances and Choosing the Risk Model," Review of Financial Studies, Society for Financial Studies, vol. 12(5), pages 937-74.
  7. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, 03.
  8. Jean, William H., 1973. "More on Multidimensional Portfolio Analysis," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 8(03), pages 475-490, June.
  9. Stefan Kassberger & R├╝diger Kiesel, 2006. "A fully parametric approach to return modelling and risk management of hedge funds," Financial Markets and Portfolio Management, Springer, vol. 20(4), pages 472-491, December.
  10. Lionel Martellini & Volker Ziemann, 2010. "Improved Estimates of Higher-Order Comoments and Implications for Portfolio Selection," Review of Financial Studies, Society for Financial Studies, vol. 23(4), pages 1467-1502, April.
  11. Louis K.C. Chan & Jason Karceski & Josef Lakonishok, 1999. "On Portfolio Optimization: Forecasting Covariances and Choosing the Risk Model," NBER Working Papers 7039, National Bureau of Economic Research, Inc.
  12. Beatriz Mendes & Mariângela Semeraro & Ricardo Leal, 2010. "Pair-copulas modeling in finance," Financial Markets and Portfolio Management, Springer, vol. 24(2), pages 193-213, June.
  13. Patrizia Semeraro, 2008. "A Multivariate Variance Gamma Model For Financial Applications," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 11(01), pages 1-18.
  14. Madan, Dilip B & Seneta, Eugene, 1990. "The Variance Gamma (V.G.) Model for Share Market Returns," The Journal of Business, University of Chicago Press, vol. 63(4), pages 511-24, October.
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