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

Author

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  • 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

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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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