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Risk Premium: Insights Over The Threshold

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  • José L. B. Fernandes
  • Augusto Hasman
  • Juan Ignacio Peña

Abstract

The aim of this paper is twofold: First to test the adequacy of Pareto distributions to describe the tail of financial returns in emerging and developed markets, and second to study the possible correlation between stock market indices observed returns and return’s extreme distributional characteristics measured by Value at Risk and Expected Shortfall. We test the empirical model using daily data from 41 countries, in the period from 1995 to 2005. The findings support the adequacy of Pareto distributions and the use of a log linear regression estimation of their parameters, as an alternative for the usually employed Hill’s estimator. We also report a significant relationship between extreme distributional characteristics and observed returns, especially for developed countries.

Suggested Citation

  • José L. B. Fernandes & Augusto Hasman & Juan Ignacio Peña, 2006. "Risk Premium: Insights Over The Threshold," Working Papers Series 126, Central Bank of Brazil, Research Department.
    • Handle: RePEc:bcb:wpaper:126
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    1. Yamai, Yasuhiro & Yoshiba, Toshinao, 2005. "Value-at-risk versus expected shortfall: A practical perspective," Journal of Banking & Finance, Elsevier, vol. 29(4), pages 997-1015, April.
    2. Barberis, Nicholas & Thaler, Richard, 2003. "A survey of behavioral finance," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 18, pages 1053-1128, Elsevier.
    3. Thomas Lux, 2001. "The limiting extremal behaviour of speculative returns: an analysis of intra-daily data from the Frankfurt Stock Exchange," Applied Financial Economics, Taylor & Francis Journals, vol. 11(3), pages 299-315.
    4. Torben G. Andersen & Tim Bollerslev & Francis X. Diebold & Ginger Wu, 2006. "Realized Beta: Persistence and Predictability," Advances in Econometrics, in: Econometric Analysis of Financial and Economic Time Series, pages 1-39, Emerald Group Publishing Limited.
    5. Casper De Vries & Jon Danielsson & Casper G, de Vries, 1996. "Tail Index and Quantile Estimation with Very High Frequency Data," CESifo Working Paper Series 116, CESifo.
    6. Hogan, William W. & Warren, James M., 1972. "Computation of the Efficient Boundary in the E-S Portfolio Selection Model," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 7(4), pages 1881-1896, September.
    7. Y. Peter Chung & Michael J. Schill, 2006. "Asset Pricing When Returns Are Nonnormal: Fama-French Factors versus Higher-Order Systematic Comoments," The Journal of Business, University of Chicago Press, vol. 79(2), pages 923-940, March.
    8. Samer Al-Rjoub & Oscar Varela & M. Kabir Hassan, 2005. "The size effect reversal in the USA," Applied Financial Economics, Taylor & Francis Journals, vol. 15(17), pages 1189-1197.
    9. Robert Faff, 2004. "A simple test of the Fama and French model using daily data: Australian evidence," Applied Financial Economics, Taylor & Francis Journals, vol. 14(2), pages 83-92.
    10. Stevenson, Simon, 2001. "Emerging markets, downside risk and the asset allocation decision," Emerging Markets Review, Elsevier, vol. 2(1), pages 50-66, March.
    11. Miguel T. Delfiner & Matías A. Gutiérrez Girault, 2002. "Aplicación de la teoría de valores extremos al gerenciamiento del riesgo," CEMA Working Papers: Serie Documentos de Trabajo. 217, Universidad del CEMA.
    12. Hogan, William W. & Warren, James M., 1974. "Toward the Development of an Equilibrium Capital-Market Model Based on Semivariance," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 9(1), pages 1-11, January.
    13. French, Kenneth R & Poterba, James M, 1991. "Investor Diversification and International Equity Markets," American Economic Review, American Economic Association, vol. 81(2), pages 222-226, May.
    14. Campbell R. Harvey & Akhtar Siddique, 2000. "Conditional Skewness in Asset Pricing Tests," Journal of Finance, American Finance Association, vol. 55(3), pages 1263-1295, June.
    15. Estrada, Javier, 2002. "Systematic risk in emerging markets: the," Emerging Markets Review, Elsevier, vol. 3(4), pages 365-379, December.
    16. Francis X. Diebold & Til Schuermann & John D. Stroughair, 1998. "Pitfalls and Opportunities in the Use of Extreme Value Theory in Risk Management," Center for Financial Institutions Working Papers 98-10, Wharton School Center for Financial Institutions, University of Pennsylvania.
    17. Richard Harris & C. Coskun Kucukozmen & Fatih Yilmaz, 2004. "Skewness in the conditional distribution of daily equity returns," Applied Financial Economics, Taylor & Francis Journals, vol. 14(3), pages 195-202.
    18. Yamai, Yasuhiro & Yoshiba, Toshinao, 2002. "Comparative Analyses of Expected Shortfall and Value-at-Risk: Their Estimation Error, Decomposition, and Optimization," Monetary and Economic Studies, Institute for Monetary and Economic Studies, Bank of Japan, vol. 20(1), pages 87-121, January.
    19. Young-Hye Cho & Robert F. Engle, 1999. "Time-Varying Betas and Asymmetric Effect of News: Empirical Analysis of Blue Chip Stocks," NBER Working Papers 7330, National Bureau of Economic Research, Inc.
    20. Robert Brooks & Robert Faff & Tim Fry & E. Bissoondoyal-Bheenick, 2005. "Alternative beta risk estimators in cases of extreme thin trading: Canadian evidence," Applied Financial Economics, Taylor & Francis Journals, vol. 15(18), pages 1251-1258.
    21. Harvey, Campbell R, 1995. "The Risk Exposure of Emerging Equity Markets," The World Bank Economic Review, World Bank, vol. 9(1), pages 19-50, January.
    22. Ritirupa Samanta & Blake LeBaron, 2005. "Extreme Value Theory and Fat Tails in Equity Markets," Computing in Economics and Finance 2005 140, Society for Computational Economics.
    23. Yannick Malevergne & Vladilen Pisarenko & Didier Sornette, 2006. "On the Power of Generalized Extreme Value (GEV) and Generalized Pareto Distribution (GPD) Estimators for Empirical Distributions of Stock Returns," Post-Print hal-02311834, HAL.
    24. Fama, Eugene F & French, Kenneth R, 1995. "Size and Book-to-Market Factors in Earnings and Returns," Journal of Finance, American Finance Association, vol. 50(1), pages 131-155, March.
    25. Salomons, Roelof & Grootveld, Henk, 2003. "The equity risk premium: emerging vs. developed markets," Emerging Markets Review, Elsevier, vol. 4(2), pages 121-144, June.
    26. Harlow, W. V. & Rao, Ramesh K. S., 1989. "Asset Pricing in a Generalized Mean-Lower Partial Moment Framework: Theory and Evidence," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 24(3), pages 285-311, September.
    27. Bawa, Vijay S. & Lindenberg, Eric B., 1977. "Capital market equilibrium in a mean-lower partial moment framework," Journal of Financial Economics, Elsevier, vol. 5(2), pages 189-200, November.
    28. Nantell, Timothy J. & Price, Barbara, 1979. "An Analytical Comparison of Variance and Semivariance Capital Market Theories," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 14(2), pages 221-242, June.
    29. McNeil, Alexander J., 1997. "Estimating the Tails of Loss Severity Distributions Using Extreme Value Theory," ASTIN Bulletin, Cambridge University Press, vol. 27(1), pages 117-137, May.
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    Cited by:

    1. Solange Gouvea, 2007. "Price Rigidity in Brazil: Evidence from CPI Micro Data," Working Papers Series 143, Central Bank of Brazil, Research Department.
    2. Gilneu F. A. Vivan & Benjamin M. Tabak, 2007. "A New Proposal for Collection and Generation of Information on Financial Institutions' Risk: the case of derivatives," Working Papers Series 133, Central Bank of Brazil, Research Department.
    3. Cortazar, Gonzalo & Beuermann, Diether & Bernales, Alejandro, 2013. "Risk Management with Thinly Traded Securities: Methodology and Implementation," IDB Publications (Working Papers) 4647, Inter-American Development Bank.
    4. Ricardo Schechtman, 2017. "Joint Validation of Credit Rating PDs under Default Correlation," International Journal of Central Banking, International Journal of Central Banking, vol. 13(2), pages 235-282, June.
    5. Alejandro Bernales & Diether W. Beuermann & Gonzalo Cortazar, 2014. "Thinly traded securities and risk management," Estudios de Economia, University of Chile, Department of Economics, vol. 41(1 Year 20), pages 5-48, June.

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