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Stochastic Dominance Statistics for Risk Averters and Risk Seekers: An Analysis of Stock Preferences for USA and China

Author

Listed:
  • Zhidong Bai

    (KLASMOE and School of Mathematics and Statistics Northeast Normal University, Department of Statistics and Applied Probability and Risk Management Institute National University of Singapore)

  • Hua Li

    (Department of Statistics and Applied Probability National University of Singapore)

  • Michael McAleer

    (Erasmus University Rotterdam,Tinbergen Institute,Kyoto University,Complutense University of Madrid)

  • Wing-Keung Wong

    (Department of Economics Hong Kong Baptist University)

Abstract

We derive the limiting process of the stochastic dominance statistics for risk averters as well as for risk seekers when the underlying processes might be dependent or independent. We take account of the dependency of the partitions and propose a bootstrap method to decide the critical point. In addition, we illustrate the applicability of the stochastic dominance statistics for both risk averters and risk seekers to analyze the dominance relationship between the Chinese and US stock markets in the entire period as well as the sub-periods before and after the  ̄nancial crises, including the internet bubble and the recent sub-prime crisis. The  ̄ndings could be used to draw inferences on the preferences of risk averters and risk seekers in investing in the Chinese and US stock markets. The results also enable us to examine whether there is any arbitrage opportunity in these markets and whether these markets are e±cient and investors are rational.

Suggested Citation

  • Zhidong Bai & Hua Li & Michael McAleer & Wing-Keung Wong, 2012. "Stochastic Dominance Statistics for Risk Averters and Risk Seekers: An Analysis of Stock Preferences for USA and China," KIER Working Papers 820, Kyoto University, Institute of Economic Research.
  • Handle: RePEc:kyo:wpaper:820
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    References listed on IDEAS

    as
    1. M. S. Feldstein, 1969. "Mean-Variance Analysis in the Theory of Liquidity Preference and Portfolio Selection," Review of Economic Studies, Oxford University Press, vol. 36(1), pages 5-12.
    2. Oliver Linton & Esfandiar Maasoumi & Yoon-Jae Whang, 2005. "Consistent Testing for Stochastic Dominance under General Sampling Schemes," Review of Economic Studies, Oxford University Press, vol. 72(3), pages 735-765.
    3. 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.
    4. Wong, Wing-Keung & Li, Chi-Kwong, 1999. "A note on convex stochastic dominance," Economics Letters, Elsevier, vol. 62(3), pages 293-300, March.
    5. Zhidong Bai & Yongchang Hui & Wing-Keung Wong & Ričardas Zitikis, 2012. "Prospect Performance Evaluation: Making a Case for a Non-asymptotic UMPU Test," Journal of Financial Econometrics, Society for Financial Econometrics, vol. 10(4), pages 703-732, September.
    6. Garry F. Barrett & Stephen G. Donald, 2003. "Consistent Tests for Stochastic Dominance," Econometrica, Econometric Society, vol. 71(1), pages 71-104, January.
    7. Thierry Post & Haim Levy, 2005. "Does Risk Seeking Drive Stock Prices? A Stochastic Dominance Analysis of Aggregate Investor Preferences and Beliefs," Review of Financial Studies, Society for Financial Studies, vol. 18(3), pages 925-953.
    8. Harry Markowitz, 1952. "The Utility of Wealth," Journal of Political Economy, University of Chicago Press, vol. 60, pages 151-151.
    9. 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.
    10. Lean, H.H. & McAleer, M.J. & Wong, W.-K., 2010. "Investor preferences for oil spot and futures based on mean-variance and stochastic dominance," Econometric Institute Research Papers EI 2010-37, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    11. Wing-Keung Wong & Chenghu Ma, 2005. "Preferences over Meyer’s Location-Scale Family," Departmental Working Papers wp0506, National University of Singapore, Department of Economics.
    12. 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.
    13. 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.
    14. 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.
    15. Egozcue, Martín & García, Luis Fuentes & Wong, Wing-Keung & Zitikis, Ricardas, 2011. "Do investors like to diversify? A study of Markowitz preferences," European Journal of Operational Research, Elsevier, vol. 215(1), pages 188-193, November.
    16. 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.
    17. 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.
    18. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    19. Chakravarty, Sugato & Sarkar, Asani & Wu, Lifan, 1998. "Information asymmetry, market segmentation and the pricing of cross-listed shares: theory and evidence from Chinese A and B shares," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 8(3-4), pages 325-356, December.
    20. Egozcue, Martin & Wong, Wing-Keung, 2010. "Gains from diversification on convex combinations: A majorization and stochastic dominance approach," European Journal of Operational Research, Elsevier, vol. 200(3), pages 893-900, February.
    21. Anderson, Gordon, 2004. "Toward an empirical analysis of polarization," Journal of Econometrics, Elsevier, vol. 122(1), pages 1-26, September.
    22. Fong, Wai Mun & Lean, Hooi Hooi & Wong, Wing Keung, 2008. "Stochastic dominance and behavior towards risk: The market for Internet stocks," Journal of Economic Behavior & Organization, Elsevier, vol. 68(1), pages 194-208, October.
    23. Schechtman, Edna & Shelef, Amit & Yitzhaki, Shlomo & Zitikis, Ričardas, 2008. "Testing Hypotheses About Absolute Concentration Curves And Marginal Conditional Stochastic Dominance," Econometric Theory, Cambridge University Press, vol. 24(04), pages 1044-1062, August.
    24. 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.
    25. Ma, Chenghu & Wong, Wing-Keung, 2010. "Stochastic dominance and risk measure: A decision-theoretic foundation for VaR and C-VaR," European Journal of Operational Research, Elsevier, vol. 207(2), pages 927-935, December.
    26. Lam, Kin & Liu, Taisheng & Wong, Wing-Keung, 2010. "A pseudo-Bayesian model in financial decision making with implications to market volatility, under- and overreaction," European Journal of Operational Research, Elsevier, vol. 203(1), pages 166-175, May.
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    Citations

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    Cited by:

    1. Chuan-Hao Hsu & Hung-Gay Fung & Yi-Ping Chang, 2016. "The performance of Taiwanese firms after a share repurchase announcement," Review of Quantitative Finance and Accounting, Springer, vol. 47(4), pages 1251-1269, November.
    2. João Paulo Vieito & Wing-Keung Wong & Zhen-Zhen Zhu, 2016. "Could the global financial crisis improve the performance of the G7 stocks markets?," Applied Economics, Taylor & Francis Journals, vol. 48(12), pages 1066-1080, March.
    3. Hoang, Thi-Hong-Van & Wong, Wing-Keung & Zhu, Zhenzhen, 2015. "Is gold different for risk-averse and risk-seeking investors? An empirical analysis of the Shanghai Gold Exchange," Economic Modelling, Elsevier, vol. 50(C), pages 200-211.
    4. repec:gam:jecomi:v:5:y:2017:i:4:p:38-:d:115667 is not listed on IDEAS
    5. Lam, Kin & Lean, Hooi Hooi & Wong, Wing-Keung, 2016. "Stochastic Dominance and Investors’ Behavior towards Risk: The Hong Kong Stocks and Futures Markets," MPRA Paper 74386, University Library of Munich, Germany.
    6. Chia-Lin Chang & Michael McAleer & Wing-Keung Wong, 2018. "Management Information, Decision Sciences, and Financial Economics: A Connection," Tinbergen Institute Discussion Papers 18-004/III, Tinbergen Institute.
    7. Chun-Kei Tsang & Wing-Keung Wong & Ira Horowitz, 2016. "Arbitrage opportunities, efficiency, and the role of risk preferences in the Hong Kong property market," Studies in Economics and Finance, Emerald Group Publishing, vol. 33(4), pages 735-754, October.
    8. Chan, Raymond H. & Clark, Ephraim & Wong, Wing-Keung, 2016. "On the Third Order Stochastic Dominance for Risk-Averse and Risk-Seeking Investors with Analysis of their Traditional and Internet Stocks," MPRA Paper 75002, University Library of Munich, Germany.
    9. Chang, C-L. & McAleer, M.J. & Wong, W.-K., 2018. "Big Data, Computational Science, Economics, Finance, Marketing, Management, and Psychology: Connections," Econometric Institute Research Papers EI 2018-08, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    10. repec:eee:ejores:v:261:y:2017:i:2:p:666-678 is not listed on IDEAS
    11. Guo, Xu & Wong, Wing-Keung & Zhu, Lixing, 2016. "Almost stochastic dominance for risk averters and risk seeker," Finance Research Letters, Elsevier, vol. 19(C), pages 15-21.
    12. El khamlichi, Abdelbari & HOANG, Thi Hong Van & Wong, Wing-Keung, 2017. "Is Gold Different for Islamic and Conventional Portfolios? A Sectorial Analysis," MPRA Paper 76282, University Library of Munich, Germany.
    13. Tsang, Chun-Kei & Wong, Wing-Keung & Horowitz, Ira, 2016. "A stochastic-dominance approach to determining the optimal home-size purchase: The case of Hong Kong," MPRA Paper 69175, University Library of Munich, Germany.
    14. repec:eee:ecofin:v:42:y:2017:i:c:p:346-358 is not listed on IDEAS
    15. Chia-Lin Chang & Michael McAleer & Wing-Keung Wong, 2015. "Behavioural, Financial, and Health & Medical Economics: A Connection," Documentos de Trabajo del ICAE 2015-14, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
    16. Fathi Abid & Pui Lam Leung & Mourad Mroua & Wing Keung Wong, 2014. "International Diversification Versus Domestic Diversification: Mean-Variance Portfolio Optimization and Stochastic Dominance Approaches," Journal of Risk and Financial Management, MDPI, Open Access Journal, vol. 7(2), pages 1-22, May.
    17. Niu, Cuizhen & Wong, Wing-Keung & Xu, Qunfang, 2017. "Higher-Order Risk Measure and (Higher-Order) Stochastic Dominance," MPRA Paper 75948, University Library of Munich, Germany.
    18. Chia-Lin Chang & Michael McAleer & Wing-Keung Wong, 2016. "Management science, economics and finance: A connection," Documentos de Trabajo del ICAE 2016-07, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
    19. Guo, Xu & Wong, Wing-Keung, 2016. "Multivariate Stochastic Dominance for Risk Averters and Risk Seekers," MPRA Paper 70637, University Library of Munich, Germany.
    20. Guo, Xu & McAleer, Michael & Wong, Wing-Keung & Zhu, Lixing, 2017. "A Bayesian approach to excess volatility, short-term underreaction and long-term overreaction during financial crises," The North American Journal of Economics and Finance, Elsevier, vol. 42(C), pages 346-358.
    21. Hoang, Thi-Hong-Van & Lean, Hooi Hooi & Wong, Wing-Keung, 2015. "Is gold good for portfolio diversification? A stochastic dominance analysis of the Paris stock exchange," International Review of Financial Analysis, Elsevier, vol. 42(C), pages 98-108.
    22. Valenzuela, Maria Rebecca & Wong, Wing-Keung & Zhen, Zhu Zhen, 2017. "Income and Consumption Inequality in the Philippines: A Stochastic Dominance Analysis of Household Unit Records," ADBI Working Papers 662, Asian Development Bank Institute.
    23. Chia-Lin Chang & Michael McAleer & Wing-Keung Wong, 2018. "Decision Sciences, Economics, Finance, Business, Computing, and Big Data: Connections," Tinbergen Institute Discussion Papers 18-024/III, Tinbergen Institute.
    24. Elie Bouri & Rangan Gupta & Wing-Keung Wong & Zhenzhen Zhu, 2017. "Is Wine a Good Choice for Investment?," Working Papers 201781, University of Pretoria, Department of Economics.
    25. Sheung-Chi Chow & Ma. Rebecca Valenzuela & Wing-Keung Wong, 2016. "New Tests for Richness and Poorness:A Stochastic Dominance Analysis of Income Distributions in Hong Kong," Monash Economics Working Papers 25-16, Monash University, Department of Economics.

    More about this item

    Keywords

    Stochastic dominance; risk aversion; risk seeking; test statistic; hypothesis testing.;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • G1 - Financial Economics - - General Financial Markets
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets

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