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Statistical correlation properties of the SHIBOR interbank lending market

Author

Listed:
  • Yong Luo
  • Jie Xiong
  • Lie Gang Dong
  • Yong Tang

Abstract

Purpose - – The purpose of this paper is to investigate the statistical correlation properties of the Shanghai Interbank Offered Rate (SHIBOR) interbank lending market. Design/methodology/approach - – The authors apply methods of correlation analysis, random matrix theory (RMT) and minimum spanning tree (MST) to investigate the correlation properties of Chinese interbank lending market and analyze how the SHIBOR panel banks behave in different market periods. Findings - – First, the largest eigenvalueλ1is the index to describe the market mode of the whole market when all banks behavior collectively andλ1/Nis a good estimator of the average correlation of the correlation matrix. Second, notably, the authors find the “market mode” is weakened in two crises periods of 2008 stock market crash and 2009 Global Financial Crisis. This is significantly different from other market where the “market mode” is normally strengthened in crises periods. Third, the authors subtract the contribution ofλ1, the second and third eigenvalue,λ2andλ3, will fall outside of the predicted interval. And bothλ2andλ3are getting times larger in the crises periods than in “Non-Crisis” period. Fourth, and in the MST analysis, the authors find again that the average distances of the MST are the times larger in crises periods than in “Non-Crisis” period and the second largest eigenvalue is a good estimator of the average distance of the MST. Originality/value - – According to the best knowledge, this paper is the first work on the study of the statistical properties of an interbank lending market using quotation level data of panel banks, which allows us to analyze the properties of the interest rate formation and how all panel banks behavior in different periods. This work is also the first study on the SHIBOR market using econophysics methods of correlation analysis, RMT and MST.

Suggested Citation

  • Yong Luo & Jie Xiong & Lie Gang Dong & Yong Tang, 2015. "Statistical correlation properties of the SHIBOR interbank lending market," China Finance Review International, Emerald Group Publishing Limited, vol. 5(2), pages 91-102, May.
  • Handle: RePEc:eme:cfripp:v:5:y:2015:i:2:p:91-102
    DOI: 10.1108/CFRI-08-2014-0036
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    Citations

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    Cited by:

    1. Cao, Guangxi & Jiang, Min & He, LingYun, 2018. "Comparative analysis of grey detrended fluctuation analysis methods based on empirical research on China’s interest rate market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 156-169.
    2. Yong Tang & Jason Jie Xiong & Zi-Yang Jia & Yi-Cheng Zhang, 2018. "Complexities in Financial Network Topological Dynamics: Modeling of Emerging and Developed Stock Markets," Complexity, Hindawi, vol. 2018, pages 1-31, November.

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