IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v29y2018i03ns0129183118500298.html
   My bibliography  Save this article

Deformed exponentials and portfolio selection

Author

Listed:
  • Ana Flávia P. Rodrigues

    (Teleinformatics Engineering Department, Federal University of Ceará, Campus do Pici, Bloco 722, CP 6005, Fortaleza, Ceará 60440-900, Brazil)

  • Igor M. Guerreiro

    (Teleinformatics Engineering Department, Federal University of Ceará, Campus do Pici, Bloco 722, CP 6005, Fortaleza, Ceará 60440-900, Brazil)

  • Charles Casimiro Cavalcante

    (Teleinformatics Engineering Department, Federal University of Ceará, Campus do Pici, Bloco 722, CP 6005, Fortaleza, Ceará 60440-900, Brazil)

Abstract

In this paper, we present a method for portfolio selection based on the consideration on deformed exponentials in order to generalize the methods based on the gaussianity of the returns in portfolio, such as the Markowitz model. The proposed method generalizes the idea of optimizing mean-variance and mean-divergence models and allows a more accurate behavior for situations where heavy-tails distributions are necessary to describe the returns in a given time instant, such as those observed in economic crises. Numerical results show the proposed method outperforms the Markowitz portfolio for the cumulated returns with a good convergence rate of the weights for the assets which are searched by means of a natural gradient algorithm.

Suggested Citation

  • Ana Flávia P. Rodrigues & Igor M. Guerreiro & Charles Casimiro Cavalcante, 2018. "Deformed exponentials and portfolio selection," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 29(03), pages 1-17, March.
    • Handle: RePEc:wsi:ijmpcx:v:29:y:2018:i:03:n:s0129183118500298
    DOI: 10.1142/S0129183118500298
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183118500298
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183118500298?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Back, Kerry, 2010. "Asset Pricing and Portfolio Choice Theory," OUP Catalogue, Oxford University Press, number 9780195380613.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Vigelis, Rui F. & de Andrade, Luiza H.F. & Cavalcante, Charles C., 2020. "Conditions for the existence of a generalization of Rényi divergence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 558(C).
    2. Yoshioka, Hidekazu & Yoshioka, Yumi, 2024. "Generalized divergences for statistical evaluation of uncertainty in long-memory processes," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    3. Rodrigues, Ana Flávia P. & Cavalcante, Charles C. & Crisóstomo, Vicente L., 2019. "A projection pricing model for non-Gaussian financial returns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. repec:esx:essedp:770 is not listed on IDEAS
    2. Luong, Phat V. & Xu, Xiaowei, 2020. "Pass-through of commodity price shocks in distribution channels with risk-averse agents," International Journal of Production Economics, Elsevier, vol. 226(C).
    3. Umut c{C}etin & Albina Danilova, 2014. "Markovian Nash equilibrium in financial markets with asymmetric information and related forward-backward systems," Papers 1407.2420, arXiv.org, revised Sep 2016.
    4. Chen, Jia & Li, Degui & Linton, Oliver & Lu, Zudi, 2016. "Semiparametric dynamic portfolio choice with multiple conditioning variables," Journal of Econometrics, Elsevier, vol. 194(2), pages 309-318.
    5. Lambrecht, Marco & Oechssler, Jörg & Weidenholzer, Simon, 2023. "On the benefits of robo-advice in financial markets," Working Papers 0734, University of Heidelberg, Department of Economics.
    6. Andrew Y. Chen & Alejandro Lopez-Lira & Tom Zimmermann, 2022. "Does Peer-Reviewed Research Help Predict Stock Returns?," Papers 2212.10317, arXiv.org, revised Jun 2024.
    7. Lu Zhang, 2017. "The Investment CAPM," European Financial Management, European Financial Management Association, vol. 23(4), pages 545-603, September.
    8. Lu, Xin & Liu, Qiong & Xue, Fengxin, 2019. "Unique closed-form solutions of portfolio selection subject to mean-skewness-normalization constraints," Operations Research Perspectives, Elsevier, vol. 6(C).
    9. Konstantinos Metaxoglou & Davide Pettenuzzo & Aaron Smith, 2019. "Option-Implied Equity Premium Predictions via Entropic Tilting," Journal of Financial Econometrics, Oxford University Press, vol. 17(4), pages 559-586.
    10. Chen, Jia & Li, Degui & Linton, Oliver, 2019. "A new semiparametric estimation approach for large dynamic covariance matrices with multiple conditioning variables," Journal of Econometrics, Elsevier, vol. 212(1), pages 155-176.
    11. Luo, Deqing & Shan, Xun & Yan, Jingzhou & Yan, Qianhui, 2023. "Sustainable investment under ESG volatility and ambiguity," Economic Modelling, Elsevier, vol. 128(C).
    12. Jia Shen & Robert J. Elliott, 2015. "General equilibrium pricing with multiple dividend streams and regime switching," Quantitative Finance, Taylor & Francis Journals, vol. 15(9), pages 1543-1557, September.
    13. Rodrigues, Ana Flávia P. & Cavalcante, Charles C. & Crisóstomo, Vicente L., 2019. "A projection pricing model for non-Gaussian financial returns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    14. Federico M. Bandi & Aleksey Kolokolov & Davide Pirino & Roberto Renòo, 2020. "Zeros," Management Science, INFORMS, vol. 66(8), pages 3466-3479, August.
    15. Raimund M. Kovacevic, 2019. "Arbitrage conditions for electricity markets with production and storage," Computational Management Science, Springer, vol. 16(4), pages 671-696, October.
    16. Mao, Jie & Shen, Guanxiong & Yan, Jingzhou, 2023. "A continuous-time macro-finance model with Knightian uncertainty," Pacific-Basin Finance Journal, Elsevier, vol. 77(C).
    17. Akira Yamazaki, 2017. "Equilibrium Equity Price With Optimal Dividend Policy," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 20(02), pages 1-28, March.
    18. Yoshihiko Uchida & Daisuke Yoshikawa, 2014. "A Pricing Theory under a Finite Number of Securities Issued: A Synthesis of "Market Microstructure" and "Mathematical Finance"," IMES Discussion Paper Series 14-E-04, Institute for Monetary and Economic Studies, Bank of Japan.
    19. Dilip B. Madan & Wim Schoutens & King Wang, 2020. "Bilateral multiple gamma returns: Their risks and rewards," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 7(01), pages 1-27, March.
    20. Akira Yamazaki, 2015. "Asset Pricing With Non-Geometric Type Of Dividends," Annals of Financial Economics (AFE), World Scientific Publishing Co. Pte. Ltd., vol. 10(02), pages 1-38, December.
    21. Andrea Macrina, 2014. "Heat Kernel Models For Asset Pricing," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 17(07), pages 1-34.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:ijmpcx:v:29:y:2018:i:03:n:s0129183118500298. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijmpc/ijmpc.shtml .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.