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Investigations on Dynamic Trading Strategy Utilizing Stochastic Optimal Control and Machine Learning

확률론적 최적제어와 기계학습을 이용한 동적 트레이딩 전략에 관한 고찰

  • 박주영 (고려대학교 과학기술대학 제어계측공학과) ;
  • 양동수 (고려대학교 과학기술대학 제어계측공학과) ;
  • 박경욱 (고려대학교 경상대학 경영학부)
  • Received : 2013.03.31
  • Accepted : 2013.05.19
  • Published : 2013.08.25

Abstract

Recently, control theory including stochastic optimal control and various machine-learning-based artificial intelligence methods have become major tools in the field of financial engineering. In this paper, we briefly review some recent papers utilizing stochastic optimal control theory in the fields of the pair trading for mean-reverting markets and the trend-following strategy, and consider a couple of strategies utilizing both stochastic optimal control theory and machine learning methods to acquire more flexible and accessible tools. Illustrative simulations show that the considered strategies can yield encouraging results when applied to a set of real financial market data.

최근들어, 확률론적 최적제어를 포함한 제어이론과 각종 기계학습 기반 인공지능 방법론은 금융공학 분야의 주요 도구로 자리를 잡아 가고 있다. 본 논문에서는 평균회귀 현상을 보이는 시장을 위한 페어 트레이딩 전략 분야와 추세 추종형 트레이딩 전략 분야에 대해 확률론적 최적제어 이론을 활용한 최신 논문 몇 편을 간단히 살펴보고, 보다 융통성 있고 접근성이 좋은 도구를 확보하기 위하여 확률론적 최적제어이론과 기계학습 기법을 동시에 응용하는 전략을 고려한다. 예시를 위하여 실시한 시뮬레이션은 본 논문에서 고려한 전략이 실제 금융시장 데이터를 대상으로 적용될 때 고무적인 결과를 제공할 수 있음을 보여준다.

Keywords

References

  1. S.-J. Kim, J. Primbs, S. Boyd, "Dynaimc Spread Trading," Manuscript, 2008.
  2. J. A. Primbs, "A Control Systems based Look at Financial Engineering," Manuscript, 2009.
  3. S. Mudchanatongsuk, J. A. Primbs, W. Wong, "Optimal Pairs Trading: A Stochastic Control Approach," Proceedings of 2008 American Control Conference, Westin Seattle Hotel, Seattle, Washington, USA, June 11-13, 2008.
  4. J, Yun, K. Kim, "Performance Analysis of Pairs Trading Strategy Utilizing High Frequency Data: Evidence from the Korean Stock Market," Asian Review of Financial Research, Vol. 24, No. 4, pp. 1153-1172, 2011.
  5. J. Kim, Efficiency of the Pair Trading Strategy in Korea Capital Market, Master Thesis, Hanyang University, 2012.
  6. E. Gotev, W. Goetzmann, K.G. Rouwenhorst, "Pairs Trading: Performance of a Relative-value Arbitrage Rule," The Review of Financial Studies, Vol 19, No 3, pp. 797-827, 2006. https://doi.org/10.1093/rfs/hhj020
  7. M. Dai, Q. Zhang, Q.J. Zhu, "Trend Following Trading under a Regime Switching Model," SIAM Journal on Financial Mathematics, Vol. 1, pp. 780-810, 2010. https://doi.org/10.1137/090770552
  8. H.T. Kong, Q. Zhang, G. G. Yin, "A Trend-Following Strategy: Conditions for Optimality," Automatica, Vol. 47, No. 4, pp. 661-667, 2011. https://doi.org/10.1016/j.automatica.2011.01.039
  9. J. Yu, Q. Zhang, "Optimal Trend-following Trading Rules under a Three-state Regime Switching Model," Mathematical Control and Related Fields, Vol. 2, No. 1, pp. 81-100, 2012. https://doi.org/10.3934/mcrf.2012.2.81
  10. R. Engle, C. Granger, "Co-integration and Error Correction: Representation, Estimation and Testing", Econometrica, Vol. 55, No. 2, pp. 251-276, 1987. https://doi.org/10.2307/1913236
  11. A. D'Aspremont, "Identifying Small Mean- Reverting Portfolios," Quantitative Finance, Vol. 11, pp. 351-364, 2011. https://doi.org/10.1080/14697688.2010.481634
  12. R. S. Sutton and A. G. Barto, Reinforcement Learning: An Introduction, MIT Press, Cambridge, MA, 1998
  13. J. Peters and S. Schaal, "Natural Actor-critic," Neurocomputing, Vol. 71, pp. 1180-1190, 2008. https://doi.org/10.1016/j.neucom.2007.11.026
  14. B. Chu, D. Kim, D. Hong, J. Park, J.-H. Chung, "Passive Dynamic Walker Controller Design Employing an RLS-based Natural Actor-critic Algorithm," Engineering Applications of Artificial Intelligence, Vol. 21, Issue 7, pp. 1027-1034, October 2008. https://doi.org/10.1016/j.engappai.2007.11.001
  15. B. Kim, J. Park, S. Park, S. Kang, "Impedance Learning for Robotic Contact Tasks Using Natural Actor-critic Algorithm," IEEE Transactions on Systems, Man, and Cybernetics: Part B - Cybernetics, Vol. 40, No. 2, pp. 433-443, 2010. https://doi.org/10.1109/TSMCB.2009.2026289
  16. D. Wierstra, T. Schaul, T. Glasmachers, Y. Sun and J. Schmidhuber, "Natural Evolution Strategies," arXiv:1106.4487, 2011.

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