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Portafolio óptimo y productos estructurados en mercados alpha-estables: un enfoque de minimización de riesgo
[Optimal Portfolio and Structured Notes in alpha-stable Markets: a Risk Minimization Approach]

Author

Listed:
  • Climent-Hernández, José Antonio
  • Venegas-Martínez, Francisco
  • Ortiz-Arango, Francisco

Abstract

This paper is aimed at studying the optimal portfolio problem when the assets have returns from α-stable distributions. The optimal portfolio contains a riskless asset and various risky assets, including structured notes. The basic statistics of the assets are calculated and both the α-stable distribution parameters and the covariation matrix are estimated through maximum likelihood. Finally, it is shown that by including structured notes in the α-stable optimal portfolio it is obtained higher returns, lower risk and better performance than Gaussian optimal portfolio.

Suggested Citation

  • Climent-Hernández, José Antonio & Venegas-Martínez, Francisco & Ortiz-Arango, Francisco, 2014. "Portafolio óptimo y productos estructurados en mercados alpha-estables: un enfoque de minimización de riesgo [Optimal Portfolio and Structured Notes in alpha-stable Markets: a Risk Minimization App," MPRA Paper 57740, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:57740
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    References listed on IDEAS

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    3. Sergio Ortobelli & Isabella Huber & Eduardo Schwartz, 2002. "Portfolio selection with stable distributed returns," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 55(2), pages 265-300, May.
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    5. Eugene F. Fama, 1965. "Portfolio Analysis in a Stable Paretian Market," Management Science, INFORMS, vol. 11(3), pages 404-419, January.
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    7. Tokat, Yesim & Rachev, Svetlozar T. & Schwartz, Eduardo S., 2003. "The stable non-Gaussian asset allocation: a comparison with the classical Gaussian approach," Journal of Economic Dynamics and Control, Elsevier, vol. 27(6), pages 937-969, April.
    8. Benoit Mandelbrot, 2015. "The Variation of Certain Speculative Prices," World Scientific Book Chapters, in: Anastasios G Malliaris & William T Ziemba (ed.), THE WORLD SCIENTIFIC HANDBOOK OF FUTURES MARKETS, chapter 3, pages 39-78, World Scientific Publishing Co. Pte. Ltd..
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    Cited by:

    1. Covarrubias-Sánchez, Claudia Ivett & Téllez-León, Isela-Elizabeth & Venegas-Martínez, Francisco, 2018. "Portafolios del mercado bursátil mexicano que minimizan una medida coherente de riesgo sujeto a restricciones de rendimientos esperados y ventas en corto [Optimal portfolios in the Mexican stock ma," MPRA Paper 85446, University Library of Munich, Germany.
    2. José Antonio Climent-Hernández, 2017. "Portafolios de dispersión mínima con rendimientos log-estables Minimum dispersion portfolios with log-stable returns," Remef - The Mexican Journal of Economics and Finance, Instituto Mexicano de Ejecutivos de Finanzas. Remef, March.

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    More about this item

    Keywords

    Optimal portfolio; risk aversion; alpha-stable distribution.;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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