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Empirical test of the efficiency of the UK covered warrants market: Stochastic dominance and likelihood ratio test approach

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  • Chan, Chia-Ying
  • de Peretti, Christian
  • Qiao, Zhuo
  • Wong, Wing-Keung

Abstract

This paper represents the first attempt to apply a stochastic dominance (SD) approach to examine the efficiency of the UK covered warrants market. Our empirical analyses reveal that neither covered warrants nor their underlying shares stochastically dominate the other, indicating the nonexistence of potential arbitrage gains in either wealth or utility, which implies market efficiency. To complement the SD results, we also employ a likelihood ratio (LR) test to examine information efficiency. A bootstrap methodology is developed to correct the size distortion of the LR test. Our findings show that UK covered warrant returns efficiently reflect the return information of the underlying shares.

Suggested Citation

  • Chan, Chia-Ying & de Peretti, Christian & Qiao, Zhuo & Wong, Wing-Keung, 2012. "Empirical test of the efficiency of the UK covered warrants market: Stochastic dominance and likelihood ratio test approach," Journal of Empirical Finance, Elsevier, vol. 19(1), pages 162-174.
    • Handle: RePEc:eee:empfin:v:19:y:2012:i:1:p:162-174
    DOI: 10.1016/j.jempfin.2011.09.001
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    as
    1. Fong, Wai Mun & Wong, Wing Keung & Lean, Hooi Hooi, 2005. "International momentum strategies: a stochastic dominance approach," Journal of Financial Markets, Elsevier, vol. 8(1), pages 89-109, February.
    2. Whitmore, G A, 1970. "Third-Degree Stochastic Dominance," American Economic Review, American Economic Association, vol. 60(3), pages 457-459, June.
    3. S. G. Kou, 2002. "A Jump-Diffusion Model for Option Pricing," Management Science, INFORMS, vol. 48(8), pages 1086-1101, August.
    4. Oliver Linton & Esfandiar Maasoumi & Yoon-Jae Whang, 2005. "Consistent Testing for Stochastic Dominance under General Sampling Schemes," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(3), pages 735-765.
    5. Michael Rothschild & Joseph Stiglitz, 1976. "Equilibrium in Competitive Insurance Markets: An Essay on the Economics of Imperfect Information," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 90(4), pages 629-649.
    6. Bishop, John A & Formby, John P & Thistle, Paul D, 1992. "Convergence of the South and Non-South Income Distributions, 1969-1979," American Economic Review, American Economic Association, vol. 82(1), pages 262-272, March.
    7. William R. Russell & Tae Kun Seo, 1978. "Ordering Uncertain Prospects: The Multivariate Utility Functions Case," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(3), pages 605-610.
    8. Figlewski, Stephen, 1981. "Futures Trading and Volatility in the GNMA Market," Journal of Finance, American Finance Association, vol. 36(2), pages 445-456, May.
    9. Diltz, J David & Kim, Suhkyong, 1996. "The Relationship between Stock and Option Prices Changes," The Financial Review, Eastern Finance Association, vol. 31(3), pages 499-519, August.
    10. Hooi Hooi Lean & Michael McAleer & Wing-Keung Wong, 2010. "Market Efficiency of Oil Spot and Futures: A Stochastic Dominance Approach," CIRJE F-Series CIRJE-F-705, CIRJE, Faculty of Economics, University of Tokyo.
    11. Garry F. Barrett & Stephen G. Donald, 2003. "Consistent Tests for Stochastic Dominance," Econometrica, Econometric Society, vol. 71(1), pages 71-104, January.
    12. Holger Claessen & Stefan Mittnik, 2002. "Forecasting stock market volatility and the informational efficiency of the DAX-index options market," The European Journal of Finance, Taylor & Francis Journals, vol. 8(3), pages 302-321.
    13. Bartram, Sohnke M. & Fehle, Frank, 2007. "Competition without fungibility: Evidence from alternative market structures for derivatives," Journal of Banking & Finance, Elsevier, vol. 31(3), pages 659-677, March.
    14. Chan, Howard Wei-Hong & Pinder, Sean M., 2000. "The value of liquidity: Evidence from the derivatives market," Pacific-Basin Finance Journal, Elsevier, vol. 8(3-4), pages 483-503, July.
    15. G. Hanoch & H. Levy, 1969. "The Efficiency Analysis of Choices Involving Risk," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 36(3), pages 335-346.
    16. Stein, Jeremy C, 1987. "Informational Externalities and Welfare-Reducing Speculation," Journal of Political Economy, University of Chicago Press, vol. 95(6), pages 1123-1145, December.
    17. James P. Quirk & Rubin Saposnik, 1962. "Admissibility and Measurable Utility Functions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 29(2), pages 140-146.
    18. Anderson, Gordon, 2004. "Toward an empirical analysis of polarization," Journal of Econometrics, Elsevier, vol. 122(1), pages 1-26, September.
    19. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    20. Dominic Gasbarro & Wing-Keung Wong & J. Kenton Zumwalt, 2007. "Stochastic Dominance Analysis of iShares," The European Journal of Finance, Taylor & Francis Journals, vol. 13(1), pages 89-101.
    21. Lean, Hooi Hooi & McAleer, Michael & Wong, Wing-Keung, 2010. "Market efficiency of oil spot and futures: A mean-variance and stochastic dominance approach," Energy Economics, Elsevier, vol. 32(5), pages 979-986, September.
    22. Wong, Wing-Keung, 2007. "Stochastic dominance and mean-variance measures of profit and loss for business planning and investment," European Journal of Operational Research, Elsevier, vol. 182(2), pages 829-843, October.
    23. Dušan Isakov & Bernard Morard, 2001. "Improving Portfolio Performance with Option Strategies: Evidence from Switzerland," European Financial Management, European Financial Management Association, vol. 7(1), pages 73-91, March.
    24. Wong, Wing-Keung & Phoon, Kok Fai & Lean, Hooi Hooi, 2008. "Stochastic dominance analysis of Asian hedge funds," Pacific-Basin Finance Journal, Elsevier, vol. 16(3), pages 204-223, June.
    25. Jenke ter Horst & Chris Veld, 2008. "An Empirical Analysis of the Pricing of Bank Issued Options versus Options Exchange Options," European Financial Management, European Financial Management Association, vol. 14(2), pages 288-314, March.
    26. Roll, Richard, 1977. "An analytic valuation formula for unprotected American call options on stocks with known dividends," Journal of Financial Economics, Elsevier, vol. 5(2), pages 251-258, November.
    27. Baillie, Richard T & Bollerslev, Tim, 2002. "The Message in Daily Exchange Rates: A Conditional-Variance Tale," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 60-68, January.
    28. Jarrow, Robert, 1986. "The Relationship between Arbitrage and First Order Stochastic Dominance," Journal of Finance, American Finance Association, vol. 41(4), pages 915-921, September.
    29. Moshe Leshno & Haim Levy, 2002. "Preferred by "All" and Preferred by "Most" Decision Makers: Almost Stochastic Dominance," Management Science, INFORMS, vol. 48(8), pages 1074-1085, August.
    30. Russell Davidson & Jean-Yves Duclos, 2000. "Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality," Econometrica, Econometric Society, vol. 68(6), pages 1435-1464, November.
    31. Dominic Gasbarro & Wing-Keung Wong & J. Kenton Zumwalt, 2007. "Stochastic Dominance Analysis of iShares," The European Journal of Finance, Taylor & Francis Journals, vol. 13(1), pages 89-101.
    32. Cox, Charles C, 1976. "Futures Trading and Market Information," Journal of Political Economy, University of Chicago Press, vol. 84(6), pages 1215-1237, December.
    33. Manaster, Steven & Rendleman, Richard J, Jr, 1982. "Option Prices as Predictors of Equilibrium Stock Prices," Journal of Finance, American Finance Association, vol. 37(4), pages 1043-1057, September.
    34. Giovanni Petrella, 2006. "Option bid‐ask spread and scalping risk: Evidence from a covered warrants market," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 26(9), pages 843-867, September.
    35. Biais, Bruno & Hillion, Pierre, 1994. "Insider and Liquidity Trading in Stock and Options Markets," The Review of Financial Studies, Society for Financial Studies, vol. 7(4), pages 743-780.
    36. Michael Aitken & Reuben Segara, 2005. "Impact of warrant introductions on the behaviour of underlying stocks: Australian evidence," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 45(1), pages 127-144, March.
    37. Hull, John C & White, Alan D, 1987. "The Pricing of Options on Assets with Stochastic Volatilities," Journal of Finance, American Finance Association, vol. 42(2), pages 281-300, June.
    38. Zhidong Bai & Hua Li & Huixia Liu & Wing‐Keung Wong, 2011. "Test statistics for prospect and Markowitz stochastic dominances with applications," Econometrics Journal, Royal Economic Society, vol. 14(2), pages 278-303, July.
    39. Kaur, Amarjot & Prakasa Rao, B.L.S. & Singh, Harshinder, 1994. "Testing for Second-Order Stochastic Dominance of Two Distributions," Econometric Theory, Cambridge University Press, vol. 10(5), pages 849-866, December.
    40. Chris Starmer, 2000. "Developments in Non-expected Utility Theory: The Hunt for a Descriptive Theory of Choice under Risk," Journal of Economic Literature, American Economic Association, vol. 38(2), pages 332-382, June.
    41. Haim Falk & Haim Levy, 1989. "Market Reaction to Quarterly Earnings' Announcements: A Stochastic Dominance Based Test of Market Efficiency," Management Science, INFORMS, vol. 35(4), pages 425-446, April.
    42. Wong, Wing-Keung, 2007. "Stochastic dominance and mean-variance measures of profit and loss for business planning and investment," European Journal of Operational Research, Elsevier, vol. 182(2), pages 829-843, October.
    43. Wing-Keung Wong & Chenghu Ma, 2008. "Preferences over location-scale family," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(1), pages 119-146, October.
    44. Charles M. Beach & Russell Davidson, 1983. "Distribution-Free Statistical Inference with Lorenz Curves and Income Shares," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(4), pages 723-735.
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    More about this item

    Keywords

    Covered warrants; Market efficiency; Stochastic dominance; Bootstrap likelihood test;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets

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