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A hidden Markov model for predicting global stock market index

은닉 마르코프 모델을 이용한 국가별 주가지수 예측

  • Kang, Hajin (Department of Applied Statistics, Chung-Ang University) ;
  • Hwang, Beom Seuk (Department of Applied Statistics, Chung-Ang University)
  • 강하진 (중앙대학교 응용통계학과) ;
  • 황범석 (중앙대학교 응용통계학과)
  • Received : 2021.01.15
  • Accepted : 2021.02.15
  • Published : 2021.06.30

Abstract

Hidden Markov model (HMM) is a statistical model in which the system consists of two elements, hidden states and observable results. HMM has been actively used in various fields, especially for time series data in the financial sector, since it has a variety of mathematical structures. Based on the HMM theory, this research is intended to apply the domestic KOSPI200 stock index as well as the prediction of global stock indexes such as NIKKEI225, HSI, S&P500 and FTSE100. In addition, we would like to compare and examine the differences in results between the HMM and support vector regression (SVR), which is frequently used to predict the stock price, due to recent developments in the artificial intelligence sector.

은닉 마르코프 모델(hidden Markov model, HMM)은 은닉된 상태와 관찰 가능한 결과의 두 가지 요소로 이루어진 통계적 모형으로 확률론적 접근이 가능하고, 다양한 수학적인 구조를 가지고 있어 여러 분야에서 활발하게 사용되고 있다. 특히 금융 분야의 시계열 데이터에 응용되어 다양한 연구가 진행되고 있다. 본 연구는 HMM 이론을 국내 KOSPI200 주가지수와 더불어 NIKKEI225, HSI, S&P500, FTSE100과 같은 해외 주가지수 예측에 적용해 보고자 한다. 또한, 최근 인공지능 분야의 발전으로 인해 주식 가격 예측에 빈번하게 사용되는 서포트 벡터 회귀(support vector regression, SVR) 결과와 어떤 차이가 있는지 비교하여 살펴보고자 한다.

Keywords

Acknowledgement

이 논문은 2020년도 중앙대학교 연구장학기금 지원에 의한 것임.

References

  1. Park HJ, Hong DH, and Kim MH (2007). Using hidden Markov model for stock flow forecasting. The Proceedings of the Korean Institute of Electrical Engineers Summer Conference, 1860-1861
  2. Basak D, Pal S, and Patranabis DC (2007). Support vector regression. Neural Information Processing-Letters and Reviews, 11, 203-224.
  3. Baum LE and Petrie T (1966). Statistical inference for probabilistic functions of finite state Markov chains. The Annals of Mathematical Statistics, 37, 1554-1563. https://doi.org/10.1214/aoms/1177699147
  4. Baum LE, Petrie T, Soules G, and Weiss N (1970). A maximization technique occurring in the statistical analysis of probabilistic functions of Markov chains, The Annals of Mathematical Statistics, 41, 164-171. https://doi.org/10.1214/aoms/1177697196
  5. Bozdogan H (1987). Model selection and Akaike's information criterion (AIC): The general theory and its analytical extensions, Psychometrika, 52, 345-370. https://doi.org/10.1007/BF02294361
  6. Cao L and Tay FE (2001). Financial forecasting using support vector machines, Neural Computing & Applications, 10, 184-192. https://doi.org/10.1007/s005210170010
  7. Cappe, O, Moulines E, and Ryden T(2006). Inference in Hidden Markov Models. Springer, New York.
  8. Hannan EJ and Quinn BG (1979). The determination of the order of an autoregression, Journal of the Royal Statistical Society, Series B, 41, 190-195.
  9. Hassan MR and Nath B (2005). Stock market forecasting using hidden Markov model: a new approach. In Proceedings of the 5th International Conference on Intelligent Systems Design and Applications, IEEE Computer Society, 192-196.
  10. Idvall P and Jonsson C (2008). Algorithmic trading: Hidden Markov models on foreign exchange data, Master's Thesis, Department of Mathematics, Linkopings Universitet.
  11. Knab B, Schliep A, Steckemetz B, and Wichern B (2003). Model-based clustering with hidden Markov models and its application to financial time-series data, Between Data Science and Applied Data Analysis, Springer, New York.
  12. Landen C (2000). Bond pricing in a hidden Markov model of the short rate, Finance and Stochastics, 4, 371-389. https://doi.org/10.1007/PL00013526
  13. Lee S and Oh C (2007). A smoothing method for stock price prediction with hidden Markov models, Journal of the Korean Data and Information Science Society, 18, 945-953.
  14. Liu W (2018). Hidden Markov model analysis of extreme behaviors of foreign exchange rates, Physics A: Statistical Mechanics and its Applications, 503, 1007-1019. https://doi.org/10.1016/j.physa.2018.07.060
  15. Mamon RS and Elliott RJ (2007). Hidden Markov Models in Finance. Springer, New York.
  16. Nguyen N (2018). Hidden Markov model for stock trading, International Journal of Financial Studies, 6, 1-17. https://doi.org/10.3390/ijfs6010001
  17. Rabiner LR (1989). A tutorial on hidden Markov models and selected applications in speech recognition. In Proceedings of the IEEE, 77, 257-286. https://doi.org/10.1109/5.18626
  18. Viterbi A (1967). Error bounds for convolutional codes and an asymptotically optimum decoding algorithm, IEEE Transactions on Information Theory, 13, 260-269. https://doi.org/10.1109/TIT.1967.1054010
  19. Welch LR (2003). Hidden Markov models and the Baum-Welch algorithm, IEEE Information Theory Society Newsletter, 53, 10-13.
  20. Zucchini W, MacDonald IL, and Langrock R (2017). Hidden Markov Models for Time Series: An Introduction Using R. CRC Press, New York.