主管:中国科学院
主办:中国优选法统筹法与经济数学研究会
   中国科学院科技战略咨询研究院

Chinese Journal of Management Science ›› 2014, Vol. 22 ›› Issue (2): 16-23.

• Articles • Previous Articles     Next Articles

Model Specification for the Price Processes in China Stock Market

SHEN Gen-xiang1,2, HU Zhi-jun3   

  1. 1. Economics School, Shanghai University of Finance and Economics, Shanghai 200433, China;
    2. Key Laboratory of Mathematical Economics, Ministry of Education, Shanghai University of Finace and Economics, Shanghai 200433, China;
    3. Jiangxi University of Finance and Economics Finance Institute, Nanchang 330013, China
  • Received:2012-04-06 Revised:2013-03-16 Online:2014-02-20 Published:2014-02-18

Abstract: With nonparametric methods for stochastic process inference based on high-frequency financial data developed recent years, model specification tests for price process in China stock market are implemented in this paper. The test statistics are built based on the asymptotic behaviors of realized power variation and realized threshold power variaton with different power, threshold and sampling frequency. Evidences from empirical studies on Shanghai Stock Exchange Index, Shenzhen Stock Exchange Component Index, and CSI300 imply that processes for these three indices in China Stock Market all contain Brownian motion diffusion, Poisson jump process and Levy jump process. These results provide foundational and empirical conclusiom for relative researches.

Key words: semimartingale, Brownian motion, Poisson jump, levy jump

CLC Number: