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Higher-order risk vulnerability

Author

Listed:
  • James Huang

    (Lancaster University Management School)

  • Richard Stapleton

    (Manchester Business School, Crawford House)

Abstract

We add an independent unfair background risk to higher-order risk-taking models in the current literature and examine its interaction with the main risk under consideration. Parallel to the well-known concept of risk vulnerability, which is defined by Gollier and Pratt (Econometrica 64:1109–1123, 1996), an agent is said to have a type of higher-order risk vulnerability if adding an independent unfair background risk to wealth raises his level of this type of higher-order risk aversion. We derive necessary and sufficient conditions for all types of higher-order risk vulnerabilities and explain their behavioral implications. We find that as in the case of risk vulnerability, all familiar HARA utility functions have all types of higher-order risk vulnerabilities except for a type of third-order risk vulnerability corresponding to a downside risk aversion measure called the Schwarzian derivative.

Suggested Citation

  • James Huang & Richard Stapleton, 2017. "Higher-order risk vulnerability," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(2), pages 387-406, February.
    • Handle: RePEc:spr:joecth:v:63:y:2017:i:2:d:10.1007_s00199-015-0935-2
    DOI: 10.1007/s00199-015-0935-2
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    References listed on IDEAS

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    2. Bousselmi, Wael & Sentis, Patrick & Willinger, Marc, 2019. "How do markets react to (un)expected fundamental value shocks? An experimental analysis," Journal of Behavioral and Experimental Finance, Elsevier, vol. 23(C), pages 90-113.

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    More about this item

    Keywords

    Background risk; Downside risk aversion; Downside risk vulnerability; Higher-order risk vulnerability;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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