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Higher-order risk preferences, constant relative risk aversion and the optimal portfolio allocation

Author

Listed:
  • Trino-Manuel Ñíguez

    (Banco de España)

  • Ivan Paya

    (LANCASTER UNIVERSITY MANAGEMENT SCHOOL)

  • David Peel

    (LANCASTER UNIVERSITY MANAGEMENT SCHOOL)

  • Javier Perote

    (University of Salamanca)

Abstract

We derive the conditions for the optimal portfolio choice within a constant relative risk aversion type of utility function considering alternative probability distributions that are able to capture the asymmetric and leptokurtic features of asset returns. We illustrate the role —beyond risk aversion— played by higher-order moments in the optimal decision to form a portfolio of risky assets. In particular, we show that higher-order risk attitudes such as prudence and temperance associated with the third and fourth moments of the distribution define different optimal portfolios than those constrained under risk aversion.

Suggested Citation

  • Trino-Manuel Ñíguez & Ivan Paya & David Peel & Javier Perote, 2015. "Higher-order risk preferences, constant relative risk aversion and the optimal portfolio allocation," Working Papers 1520, Banco de España.
    • Handle: RePEc:bde:wpaper:1520
    as

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    File URL: http://www.bde.es/f/webbde/SES/Secciones/Publicaciones/PublicacionesSeriadas/DocumentosTrabajo/15/Fich/dt1520e.pdf
    File Function: First version, July 2015
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    Citations

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    Cited by:

    1. Ñíguez, Trino-Manuel & Perote, Javier, 2016. "Multivariate moments expansion density: Application of the dynamic equicorrelation model," Journal of Banking & Finance, Elsevier, vol. 72(S), pages 216-232.
    2. Ñíguez, Trino-Manuel & Paya, Ivan & Peel, David, 2016. "Pure higher-order effects in the portfolio choice model," Finance Research Letters, Elsevier, vol. 19(C), pages 255-260.

    More about this item

    Keywords

    : decision analysis; risk management; higher-order moments and preferences; portfolio choice; weighted generalized beta two distribution.;
    All these keywords.

    JEL classification:

    • C16 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Econometric and Statistical Methods; Specific Distributions
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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