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Comparing Downside Risk Measures for Heavy Tailed Distributions

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  • Casper G. de Vries
  • Bjørn N. Jorgensen
  • Sarma Mandira
  • Jon Danielsson

    ()

Abstract

Using regular variation to define heavy tailed distributions, we show that prominent downside risk measures produce similar and consistent ranking of heavy tailed risk. Thus regardless of the particular risk measure being used, assets will be ranked in a similar and consistent manner for heavy tailed assets.

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File URL: http://www.lse.ac.uk/fmg/workingPapers/discussionPapers/fmgdps/dp551.pdf
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Paper provided by Financial Markets Group in its series FMG Discussion Papers with number dp551.

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Date of creation: Nov 2005
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Handle: RePEc:fmg:fmgdps:dp551

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  1. Bawa, Vijay S., 1975. "Optimal rules for ordering uncertain prospects," Journal of Financial Economics, Elsevier, vol. 2(1), pages 95-121, March.
  2. Dennis Jansen & Casper de Vries, 1988. "On the frequency of large stock returns: putting booms and busts into perspective," Working Papers 1989-006, Federal Reserve Bank of St. Louis.
  3. Benoit Mandelbrot, 1963. "The Variation of Certain Speculative Prices," The Journal of Business, University of Chicago Press, vol. 36, pages 394.
  4. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
  5. Pagan, Adrian, 1996. "The econometrics of financial markets," Journal of Empirical Finance, Elsevier, vol. 3(1), pages 15-102, May.
  6. Fishburn, Peter C, 1977. "Mean-Risk Analysis with Risk Associated with Below-Target Returns," American Economic Review, American Economic Association, vol. 67(2), pages 116-26, March.
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Cited by:
  1. Tee, Kai-Hong, 2009. "The effect of downside risk reduction on UK equity portfolios included with Managed Futures Funds," International Review of Financial Analysis, Elsevier, vol. 18(5), pages 303-310, December.
  2. Jesus Gonzalo & Jose Olmo, 2007. "The impact of heavy tails and comovements in downside-risk diversification," Economics Working Papers we20070208, Universidad Carlos III, Departamento de Economía.
  3. Gregory-Allen, Russell & Lu, Helen & Stork, Philip, 2012. "Asymmetric extreme tails and prospective utility of momentum returns," Economics Letters, Elsevier, vol. 117(1), pages 295-297.
  4. Namwon Hyung & Casper G. de Vries, 2010. "The Downside Risk of Heavy Tails induces Low Diversification," Tinbergen Institute Discussion Papers 10-082/2, Tinbergen Institute.
  5. Marco Rocco, 2011. "Extreme value theory for finance: a survey," Questioni di Economia e Finanza (Occasional Papers) 99, Bank of Italy, Economic Research and International Relations Area.
  6. Tarasov, Arthur, 2011. "Coherent Quantitative Analysis of Risks in Agribusiness: Case of Ukraine," AGRIS on-line Papers in Economics and Informatics, Czech University of Life Sciences Prague, Faculty of Economics and Management, vol. 3(4), December.
  7. Pais, Amelia & Stork, Philip A., 2011. "Contagion risk in the Australian banking and property sectors," Journal of Banking & Finance, Elsevier, vol. 35(3), pages 681-697, March.
  8. Antonio Di Cesare & Philip A. Stork & Casper G. de Vries, 2011. "Risk measures for autocorrelated hedge fund returns," Temi di discussione (Economic working papers) 831, Bank of Italy, Economic Research and International Relations Area.
  9. Adam, Alexandre & Houkari, Mohamed & Laurent, Jean-Paul, 2008. "Spectral risk measures and portfolio selection," Journal of Banking & Finance, Elsevier, vol. 32(9), pages 1870-1882, September.
  10. Antonio Di Cesare & Philip A. Stork & Casper G. de Vries, 2011. "Risk Measures for Autocorrelated Hedge Fund Returns," Tinbergen Institute Discussion Papers 11-084/2/DSF 23, Tinbergen Institute.

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