The Principle of the Markov Chain Prediction Model and Its Application in Stock Price Forecasting

Authors

  • Yuzhe Yan

DOI:

https://doi.org/10.54097/v3fpeq16

Keywords:

Markov chain; stochastic process prediction models; stock prices.

Abstract

Markov chains, due to their "memoryless" property, align well with the characteristics of many phenomena in life, making Markov prediction models an important tool for predicting random events in daily life. This paper aims to summarize the rich findings obtained by researchers on Markov prediction models, and to specifically demonstrate the powerful capabilities of Markov prediction models in forecasting stock prices, allowing readers to intuitively experience the differences in prediction accuracy brought about by continuously improved models. Specifically, the paper first introduces the origin and development history of Markov chains. It then briefly covers the relevant knowledge of Markov chains and the basic steps for using them in predictions. Following this, it presents the effects of three progressively advanced Markov chain prediction methods in stock price forecasting. The study finds that when more careful consideration is given to the relationships between variables and more complex and precise algorithms are integrated, the prediction results are more accurate, and the predictability extends over longer periods. Overall, although there are difficulties in data collection and state classification, its advantages in handling stochastic processes make it one of the important choices for practical applications in various fields. With the advancement of technology, these models will become more efficient and accurate, allowing them to be applied in a wider range of fields. Moreover, attempts to combine various algorithms with Markov chain models will be a direction for improving prediction results.

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References

[1] Cogburn R. Markov chains in random environments. The case of Markovian environments. The Annals of Probability, 1980, 8: 908-916.

[2] Chung K. L. The general theory of Markov processes according to Doeblin. Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1964, 2(3): 230-254.

[3] Steven O. Limit Theorems for Markov Chain Transition Probabilities. Van Nostrand Reinhold Co, 1971.

[4] Turner C. M., Starz R., Nelson C. R. A Markov Model of Heteroskedasticity Risk and Learning in the Stock Market. Journal of Finance Economics, 1989, 25(1): 3-22.

[5] Hull J., White A. The Pricing of Option on Assets with Stochastic Volatilities. Journal of Finance, 1987, 42(2): 281-300.

[6] Mu Y., Li D. Study on Stock Price Prediction Based on Markov Chain Method. Financial Development Research, 2024, (08): 89-92.

[7] Zhang C. Integrated Prediction Model Based on Markov Chain. Liaoning Technical University, 2012.

[8] Chen Z., Huang X. Stock Price Prediction Research Based on Weighted Markov Chains. Journal of Dongguan University of Technology, 2023, 30(03): 1-8.

[9] Hassan M. R., Nath B. Stock market forecasting using hidden Markov model: a new approach. 5th International Conference on Intelligent Systems Design and Applications (ISDA'05). IEEE, 2005: 192-196.

[10] Hassan R., Nath B., Kirley M. A fusion model of HMM, ANN and GA for stock market forecasting. Expert Systems with Applications, 2007, 33(1): 171-180.

[11] Jahan M. V. Stock Market Prediction With Hidden Markov Model. ICTCK 2015.

[12] Venugopal D., Kannan Kaliyaperumal S., Muthu Niraikulathan S. Stock market trend prediction using hidden Markov model. In Forecasting in Mathematics - Recent Advances, New Perspectives and Applications. IntechOpen, 2021.

[13] Yao H., Jiang Y., Yang J., Yu K. Stock Market Turning Point Prediction Method Based on Sentiment Vector and Hidden Semi-Markov Model. Journal of Hefei University of Technology (Natural Science Edition), 2024, 47(10): 1335-1340.

[14] Yao P. Stock Price Prediction Research from the Perspective of Improving Hidden Markov Models. Zhejiang University of Finance and Economics, 2022.

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Published

23-05-2025

How to Cite

Yan, Y. (2025). The Principle of the Markov Chain Prediction Model and Its Application in Stock Price Forecasting. Highlights in Science, Engineering and Technology, 140, 24-31. https://doi.org/10.54097/v3fpeq16