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Gaussian and logistic adaptations of smoothed safety first

Author

Listed:
  • M. Haley
Abstract
In one model of portfolio choice, dating to the Safety First principle, the investor is assumed to select assets to minimize the probability of realizing a portfolio return below some pre-determined target or benchmark rate of return. This paper builds on a recent refinement of Safety First—Smoothed Safety First—but is distinct in that it uses Gaussian and logistic distributions instead of the extreme value type-I distribution. Empirical and simulation results suggest that these alternative smoothing functions perform very much like the original formulation, suggesting that smoothing is robust to the choice of smoothing function for suitably large samples. For smaller samples, both Smoothed Safety First and the standard normal-based smoothing function appear to deliver portfolios with slightly smaller shortfall probabilities than the logistic-based approach. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • M. Haley, 2014. "Gaussian and logistic adaptations of smoothed safety first," Annals of Finance, Springer, vol. 10(2), pages 333-345, May.
    • Handle: RePEc:kap:annfin:v:10:y:2014:i:2:p:333-345
    DOI: 10.1007/s10436-013-0235-4
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    References listed on IDEAS

    as
    1. Haley, M. Ryan, 2008. "A simple nonparametric approach to low-dimension, shortfall-based portfolio selection," Finance Research Letters, Elsevier, vol. 5(3), pages 183-190, September.
    2. M. Ryan Haley & Charles Whiteman, 2008. "Generalized Safety First and a New Twist on Portfolio Performance," Econometric Reviews, Taylor & Francis Journals, vol. 27(4-6), pages 457-483.
    3. Fishburn, Peter C, 1977. "Mean-Risk Analysis with Risk Associated with Below-Target Returns," American Economic Review, American Economic Association, vol. 67(2), pages 116-126, March.
    4. Michael Stutzer, 2011. "Portfolio choice with endogenous utility: a large deviations approach," World Scientific Book Chapters, in: Leonard C MacLean & Edward O Thorp & William T Ziemba (ed.), THE KELLY CAPITAL GROWTH INVESTMENT CRITERION THEORY and PRACTICE, chapter 43, pages 619-640, World Scientific Publishing Co. Pte. Ltd..
    5. Bawa, Vijay S., 1978. "Safety-First, Stochastic Dominance, and Optimal Portfolio Choice," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 13(2), pages 255-271, June.
    6. M. Ryan Haley & Harry J. Paarsch & Charles H. Whiteman, 2013. "Smoothed safety first and the holding of assets," Quantitative Finance, Taylor & Francis Journals, vol. 13(2), pages 167-176, January.
    7. Bawa, Vijay S, 1976. "Admissible Portfolios for All Individuals," Journal of Finance, American Finance Association, vol. 31(4), pages 1169-1183, September.
    8. Haley, M. Ryan & McGee, M. Kevin, 2006. "Tilting safety first and the Sharpe portfolio," Finance Research Letters, Elsevier, vol. 3(3), pages 173-180, September.
    9. Jakša Cvitanić & Vassilis Polimenis & Fernando Zapatero, 2008. "Optimal portfolio allocation with higher moments," Annals of Finance, Springer, vol. 4(1), pages 1-28, January.
    10. Giovanna Menardi & Francesco Lisi, 2012. "Are performance measures equally stable?," Annals of Finance, Springer, vol. 8(4), pages 553-570, November.
    11. Ba Chu, 2012. "Large deviations estimation of the windfall and shortfall probabilities for optimal diversified portfolios," Annals of Finance, Springer, vol. 8(1), pages 97-122, February.
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    Cited by:

    1. Thomas A. Severini, 2016. "A nonparametric approach to measuring the sensitivity of an asset’s return to the market," Annals of Finance, Springer, vol. 12(2), pages 179-199, May.
    2. Minghu Ha & Yang Yang & Chao Wang, 2017. "A portfolio optimization model for minimizing soft margin-based generalization bound," Journal of Intelligent Manufacturing, Springer, vol. 28(3), pages 759-766, March.
    3. M. Ryan Haley, 2017. "K-fold cross validation performance comparisons of six naive portfolio selection rules: how naive can you be and still have successful out-of-sample portfolio performance?," Annals of Finance, Springer, vol. 13(3), pages 341-353, August.

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    More about this item

    Keywords

    Semi-parametric smoothing; Portfolio selection; Heaviside function; Safety first; J24; J28; J30; J32; J81;
    All these keywords.

    JEL classification:

    • J24 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Human Capital; Skills; Occupational Choice; Labor Productivity
    • J28 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Safety; Job Satisfaction; Related Public Policy
    • J30 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - General
    • J32 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Nonwage Labor Costs and Benefits; Retirement Plans; Private Pensions
    • J81 - Labor and Demographic Economics - - Labor Standards - - - Working Conditions

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