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From Moments, Co-Moments and Mean-Variance weights to Copula Portfolio Allocation

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  • Luca RICCETTI

    () (Universita' Politecnica delle Marche, Dipartimento di Economia)

Abstract

In Riccetti (2010) I find that the use of copulas can be useful in an asset allocation model for choosing the stock and the bond composition of portfolios (the macro asset allocation) or if the portfolio is composed by one bond index and some stock indices. Thus, in these cases, easy methods to reconstruct the copula allocation without estimating the copula, could be important for an asset manager/investor. In this paper I build a model that considers moments and co-moments of the returns till the fourth power (respectively the mean of the returns and the mean of the crossed products of the returns raised up to fourth power) in order to understand whether they can approximate the use of copulas to obtain optimal weights. I analyse two models: the first reconstructs the copula model's weights using only moments and co-moments, while the second models the weights using moments, co-moments and the mean-variance weights. I also use the moments and co-moments of the excess returns of the stock indices over the bond index return as independent variables. The in-sample and the out-of-sample analyses show that it is possible to have an approximation of the weights obtained by a copula model using moments and co-moments of returns. Even if these models are different for each asset, changeable in time, with explanatory variables and signs that are not predictable and with accuracy that is uncertain, both models appear useful: the first appears to be easier (because the weights of the Markowitz model are not needed), while the second is more accurate in-sample and out-of-sample. Moreover the regression with the excess returns of the stock indices over the less risky index seems to be useful: it is a bit less accurate, but it needs to calculate less combinations of moments and co-moments.

Suggested Citation

  • Luca RICCETTI, 2010. "From Moments, Co-Moments and Mean-Variance weights to Copula Portfolio Allocation," Working Papers 351, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
  • Handle: RePEc:anc:wpaper:351
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    File URL: http://docs.dises.univpm.it/web/quaderni/pdf/351.pdf
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Alberto Russo, 2014. "A Stochastic Model of Wealth Accumulation with Class Division," Metroeconomica, Wiley Blackwell, vol. 65(1), pages 1-35, February.
    2. Ruggero Grilli & Gabriele Tedeschi & Mauro Gallegati, 2015. "Markets connectivity and financial contagion," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 10(2), pages 287-304, October.
    3. Alessandro STERLACCHINI, 2012. "Patent Oppositions as Competitive Tools: An Analysis of the Major Players in the European Market of White Goods," Working Papers 374, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    4. Eralba CELA & Tineke FOKKEMA & Elena AMBROSETTI, 2012. "Links Between Transnationalism Integration and Duration of Residence: The Case of eastern European Migrants in Italy," Working Papers 386, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    5. Elena AMBROSETTI & Eralba CELA & Tineke FOKKEMA, 2011. "The Remittances Behaviour of the Second Generation in Europe: Altruism or Self-Interest?," Working Papers 368, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    6. Lenzu, Simone & Tedeschi, Gabriele, 2012. "Systemic risk on different interbank network topologies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(18), pages 4331-4341.
    7. Luca RICCETTI, 2011. "A Copula-GARCH Model for Macro Asset Allocation of a Portfolio with Commodities: an Out-of-Sample Analysis," Working Papers 355, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.

    More about this item

    Keywords

    Asset Allocation; Copulas; Excess Returns; Mean-Variance; Moments and Co-moments; OLS; Out-of-sample; Portfolio Choice;

    JEL classification:

    • C20 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - General
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G17 - Financial Economics - - General Financial Markets - - - Financial Forecasting and Simulation

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