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. 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).
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Luo, Deqing & Shan, Xun & Yan, Jingzhou & Yan, Qianhui, 2023. "Sustainable investment under ESG volatility and ambiguity," Economic Modelling, Elsevier, vol. 128(C).
    7. Federico M. Bandi & Aleksey Kolokolov & Davide Pirino & Roberto Renòo, 2020. "Zeros," Management Science, INFORMS, vol. 66(8), pages 3466-3479, August.
    8. Raimund M. Kovacevic, 2019. "Arbitrage conditions for electricity markets with production and storage," Computational Management Science, Springer, vol. 16(4), pages 671-696, October.
    9. Mao, Jie & Shen, Guanxiong & Yan, Jingzhou, 2023. "A continuous-time macro-finance model with Knightian uncertainty," Pacific-Basin Finance Journal, Elsevier, vol. 77(C).
    10. 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.
    11. 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.
    12. 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.
    13. Wang, Weijia, 2019. "A Pareto Criterion on Systemic Risk," MPRA Paper 93699, University Library of Munich, Germany.
    14. Maria-Teresa Bosch-Badia & Joan Montllor-Serrats & Maria-Antonia Tarrazon-Rodon, 2017. "Analysing the information embedded in the optimal mean–variance weights: CAPM versus Bamberg and Dorfleitner model," Review of Managerial Science, Springer, vol. 11(4), pages 789-814, October.
    15. Jeffrey L. Callen & Matthew R. Lyle, 2020. "The term structure of implied costs of equity capital," Review of Accounting Studies, Springer, vol. 25(1), pages 342-404, March.
    16. el Alaoui, AbdelKader & Masih, Mansur & Bacha, Obiyathulla & Asutay, Mehmet, 2014. "Leverage, return, volatility and contagion: Evidence from the portfolio framework," MPRA Paper 57726, University Library of Munich, Germany.
    17. Çetin, Umut & Danilova, Albina, 2016. "Markovian Nash equilibrium in financial markets with asymmetric information and related forward-backward systems," LSE Research Online Documents on Economics 63259, London School of Economics and Political Science, LSE Library.
    18. Weijia Wang & Shaoan Huang, 2021. "Risk sharing and financial stability: a welfare analysis," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 16(1), pages 211-228, January.
    19. Denis-Alexandre Trottier & Van Son Lai & Anne-Sophie Charest, 2017. "CAT Bond Spreads Via HARA Utility and Nonparametric Tests," Working Papers 2017-002, Department of Research, Ipag Business School.
    20. Harjoat S. Bhamra & Raman Uppal, 2019. "Does Household Finance Matter? Small Financial Errors with Large Social Costs," American Economic Review, American Economic Association, vol. 109(3), pages 1116-1154, March.

    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.