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Value-at-risk under ambiguity aversion

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  • Rossella Agliardi

    (University of Bologna)

Abstract

This study explored the effects of ambiguity on the calculation of Value-at-Risk (VaR) using a mathematical model based on the theory of Choquet-Brownian processes. It was found that while a moderate degree of ambiguity aversion yields a higher value for VaR and Expected Shortfall (ES), the result can be reversed in a deeply ambiguous environment. Additionally, some sufficient conditions are provided for the preservation of this effect under various forms of risk aggregation. This study offers a new perspective to full awareness on capital requirement calculation as requested by international regulation.

Suggested Citation

  • Rossella Agliardi, 2018. "Value-at-risk under ambiguity aversion," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 4(1), pages 1-13, December.
    • Handle: RePEc:spr:fininn:v:4:y:2018:i:1:d:10.1186_s40854-018-0095-z
    DOI: 10.1186/s40854-018-0095-z
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    References listed on IDEAS

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    1. Larry G. Epstein & Martin Schneider, 2010. "Ambiguity and Asset Markets," Annual Review of Financial Economics, Annual Reviews, vol. 2(1), pages 315-346, December.
    2. Boyarchenko, Nina, 2012. "Ambiguity shifts and the 2007–2008 financial crisis," Journal of Monetary Economics, Elsevier, vol. 59(5), pages 493-507.
    3. Rossella Agliardi, 2017. "Asymmetric Choquet random walks and ambiguity aversion or seeking," Theory and Decision, Springer, vol. 83(4), pages 591-602, December.
    4. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    5. Philippe Artzner & Freddy Delbaen & Jean‐Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228, July.
    6. Thorsten Hens & Marc Oliver Rieger, 2014. "Can utility optimization explain the demand for structured investment products?," Quantitative Finance, Taylor & Francis Journals, vol. 14(4), pages 673-681, April.
    7. Marc Oliver Rieger & Mei Wang & Thorsten Hens, 2015. "Risk Preferences Around the World," Management Science, INFORMS, vol. 61(3), pages 637-648, March.
    8. André Lapied & Robert Kast, 2010. "Dynamically consistent Choquet random walk and real investments," Working Papers 10-21, LAMETA, Universtiy of Montpellier, revised 2010.
    9. Guidolin, Massimo & Liu, Hening, 2016. "Ambiguity Aversion and Underdiversification," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 51(4), pages 1297-1323, August.
    10. Agliardi, Elettra & Agliardi, Rossella & Spanjers, Willem, 2016. "Corporate financing decisions under ambiguity: Pecking order and liquidity policy implications," Journal of Business Research, Elsevier, vol. 69(12), pages 6012-6020.
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    Cited by:

    1. Wujun Lv & Tao Pang & Xiaobao Xia & Jingzhou Yan, 2023. "Dynamic portfolio choice with uncertain rare-events risk in stock and cryptocurrency markets," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 9(1), pages 1-28, December.
    2. Lorenzo Reus & Guillermo Alexander Sepúlveda-Hurtado, 2023. "Foreign exchange trading and management with the stochastic dual dynamic programming method," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 9(1), pages 1-38, December.

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