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Empirical analysis on future-cash arbitrage risk with portfolio VaR

Author

Listed:
  • Chen, Rongda
  • Li, Cong
  • Wang, Weijin
  • Wang, Ze

Abstract

This paper constructs the positive arbitrage position by alternating the spot index with Chinese Exchange Traded Fund (ETF) portfolio and estimating the arbitrage-free interval of futures with the latest trade data. Then, an improved Delta-normal method was used, which replaces the simple linear correlation coefficient with tail dependence correlation coefficient, to measure VaR (Value-at-risk) of the arbitrage position. Analysis of VaR implies that the risk of future-cash arbitrage is less than that of investing completely in either futures or spot market. Then according to the compositional VaR and the marginal VaR, we should increase the futures position and decrease the spot position appropriately to minimize the VaR, which can minimize risk subject to certain revenues.

Suggested Citation

  • Chen, Rongda & Li, Cong & Wang, Weijin & Wang, Ze, 2014. "Empirical analysis on future-cash arbitrage risk with portfolio VaR," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 398(C), pages 210-216.
  • Handle: RePEc:eee:phsmap:v:398:y:2014:i:c:p:210-216
    DOI: 10.1016/j.physa.2013.12.017
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    References listed on IDEAS

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    1. Fernandez, Viviana, 2008. "Copula-based measures of dependence structure in assets returns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3615-3628.
    2. Rosenberg, Joshua V. & Schuermann, Til, 2006. "A general approach to integrated risk management with skewed, fat-tailed risks," Journal of Financial Economics, Elsevier, vol. 79(3), pages 569-614, March.
    3. Alexakis, Christos, 2010. "Long-run relations among equity indices under different market conditions: Implications on the implementation of statistical arbitrage strategies," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 20(4), pages 389-403, October.
    4. Jianping Li & Jichuang Feng & Xiaolei Sun & Minglu Li, 2012. "Risk Integration Mechanisms And Approaches In Banking Industry," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 11(06), pages 1183-1213.
    5. Ren, Fei & Zhong, Li-Xin, 2012. "The price impact asymmetry of institutional trading in the Chinese stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(8), pages 2667-2677.
    6. Wei, Yu & Wang, Yudong & Huang, Dengshi, 2011. "A copula–multifractal volatility hedging model for CSI 300 index futures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4260-4272.
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    Cited by:

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    2. Najafi, Amir Abbas & Pourahmadi, Zahra, 2016. "An efficient heuristic method for dynamic portfolio selection problem under transaction costs and uncertain conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 448(C), pages 154-162.
    3. Enrique Molina‐Muñoz & Andrés Mora‐Valencia & Javier Perote, 2021. "Backtesting expected shortfall for world stock index ETFs with extreme value theory and Gram–Charlier mixtures," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 26(3), pages 4163-4189, July.
    4. Liu, Guangqiang & Wei, Yu & Chen, Yongfei & Yu, Jiang & Hu, Yang, 2018. "Forecasting the value-at-risk of Chinese stock market using the HARQ model and extreme value theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 499(C), pages 288-297.

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