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Spectral Risk Measures: Properties and Limitations

Author

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  • Kevin Dowd
  • John Cotter
  • Ghulam Sorwar

Abstract

Spectral risk measures (SRMs) are risk measures that take account of user riskaversion, but to date there has been little guidance on the choice of utility function underlying them. This paper addresses this issue by examining alternative approaches based on exponential and power utility functions. A number of problems are identified with both types of spectral risk measure. The general lesson is that users of spectral risk measures must be careful to select utility functions that fit the features of the particular problems they are dealing with, and should be especially careful when using power SRMs.

Suggested Citation

  • Kevin Dowd & John Cotter & Ghulam Sorwar, 2011. "Spectral Risk Measures: Properties and Limitations," Papers 1103.5674, arXiv.org.
  • Handle: RePEc:arx:papers:1103.5674
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    References listed on IDEAS

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    1. Cotter, John & Dowd, Kevin, 2006. "Extreme spectral risk measures: An application to futures clearinghouse margin requirements," Journal of Banking & Finance, Elsevier, vol. 30(12), pages 3469-3485, December.
    2. Philippe Artzner & Freddy Delbaen & Jean-Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228.
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    Citations

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    Cited by:

    1. Wächter, Hans Peter & Mazzoni, Thomas, 2013. "Consistent modeling of risk averse behavior with spectral risk measures," European Journal of Operational Research, Elsevier, vol. 229(2), pages 487-495.
    2. Kaluszka, Marek & Okolewski, Andrzej, 2011. "Stability of L-statistics from weakly dependent observations," Statistics & Probability Letters, Elsevier, vol. 81(5), pages 618-625, May.
    3. Brandtner, Mario & Kürsten, Wolfgang, 2014. "Solvency II, regulatory capital, and optimal reinsurance: How good are Conditional Value-at-Risk and spectral risk measures?," Insurance: Mathematics and Economics, Elsevier, vol. 59(C), pages 156-167.
    4. repec:eee:jbfina:v:83:y:2017:i:c:p:70-84 is not listed on IDEAS
    5. Sorwar, Ghulam & Pappas, Vasileios & Pereira, John & Nurullah, Mohamed, 2016. "To debt or not to debt: Are Islamic banks less risky than conventional banks?," Journal of Economic Behavior & Organization, Elsevier, vol. 132(S), pages 113-126.
    6. Okolewski, A. & Kaluszka, M., 2015. "Stability of expected L-statistics against weak dependence of observations," Statistics & Probability Letters, Elsevier, vol. 106(C), pages 157-164.
    7. Takashi Kato, 2017. "Asymptotic Analysis for Spectral Risk Measures Parameterized by Confidence Level," Papers 1711.07335, arXiv.org.
    8. Mario Brandtner, 2016. "“Spectral Risk Measures: Properties and Limitations”: Comment on Dowd, Cotter, and Sorwar," Journal of Financial Services Research, Springer;Western Finance Association, vol. 49(1), pages 121-131, February.
    9. repec:eee:ejores:v:264:y:2018:i:2:p:707-716 is not listed on IDEAS
    10. Brandtner, Mario & Kürsten, Wolfgang, 2015. "Decision making with Expected Shortfall and spectral risk measures: The problem of comparative risk aversion," Journal of Banking & Finance, Elsevier, vol. 58(C), pages 268-280.
    11. Brandtner, Mario & Kürsten, Wolfgang, 2014. "Decision making with Conditional Value-at-Risk and spectral risk measures: The problem of comparative risk aversion," Annual Conference 2014 (Hamburg): Evidence-based Economic Policy 100615, Verein für Socialpolitik / German Economic Association.
    12. Marcin Fałdziński & Magdalena Osińska & Tomasz Zdanowicz, 2012. "Detecting Risk Transfer in Financial Markets using Different Risk Measures," Central European Journal of Economic Modelling and Econometrics, CEJEME, vol. 4(1), pages 45-64, March.
    13. Arıkan, Emel & Fichtinger, Johannes, 2017. "The risk-averse newsvendor problem under spectral risk measures: A classification with extensions," European Journal of Operational Research, Elsevier, vol. 256(1), pages 116-125.
    14. repec:eee:jbfina:v:89:y:2018:i:c:p:138-149 is not listed on IDEAS
    15. Mario Brandtner, 2016. "Spektrale Risikomaße: Konzeption, betriebswirtschaftliche Anwendungen und Fallstricke," Management Review Quarterly, Springer;Vienna University of Economics and Business, vol. 66(2), pages 75-115, April.

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    JEL classification:

    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets

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