IJSREG Trion Studio

No Publication Cost

Vol 9, No 3:

subscription

Markov Modelling of Indian Stock Market Prices with Reference to State Bank of India
Abstract
This paper provides a discrete-time Markov model to analyse the behaviour of stock market prices with reference to State Bank of India (SBI) which is one of the leading commercial banks in India. The analysis in the present paper is carried out on the basis of past three years daily data (reference period is from 14th January 2019 to 12th January 2022) of closing share prices of SBI. The transition states like ‘GAIN’ as the share price of SBI increase, ‘NO CHANGE’ when the share price remains unchanged, and ‘LOSS’ when the share price decrease is considered. This study has made an attempt to judge the accuracy of the prediction of Markov chain model. The study explored the initial probability vector (IPV) and the transition probability matrix (TPM) from the observed data. The steady state TPM, the expected number of transitions and the expected return time of different are discussed in the study. The decision-making activities linked with time to sell or purchase and number of shares to purchase or to sell can be made with this study.
Full Text
PDF
References
1.     A. Bairagi and S. C. H Kakaty; Analysis of Stock Market Price Behaviour: A Markov chain approach. International Journal of Recent Scientific Research, 6(10), 7061-7066 (2015).
2.     A. Bairagi and Sarat Ch. Kakaty; Markov Chain Modelling for Prediction on Future Market Price of Potatoes with Special Reference to Nagaon District. IOSR Journal of Business and Management, 19 (12), 25-31 (2017).
3.     A. M. Aguilera; A. F. Ocaña and J. M. Valderrama; Stochastic Modelling for Evolution of Stock Prices by Means of Functional Principal Component Analysis. Applied Stochastic Models in Business and Industry, 15(4), 227-234 (1999).
4.     D. N. Choji; S. N. Eduno and G. T.  Kassem; Markov Chain Model Application on Share Price Movement in Stock Market. Journal of Computer Engineering and Intelligent Systems, 4(10), 84-95 (2013).
5.     D. Zhang and X. Zhang; Study on Forecasting the Stock Market Trend Based on Stochastic Analysis Method. International Journal of Business and Management,4(6), 163-170 (2009).
6.     G. F. Dar; T. R. Padi; S. Rekha and Q. F.  Dar; Stochastic Modelling for the Analysis and Forecasting of Stock Market Trend Using Hidden Markov Model. Asian Journal of Probability and Statistics, 18(1), 43-56 (2022).
7.     G. F. Dar; T. R. Padi and S. Rekha; Stock Price Prediction Using a Markov Chain Model: A Study for TCS Share Values. Advances and Applications in Statistics, 80, 83-101 (2022).
8.     G. Lakshmi and J. Manoj; Application of Markov Process for Prediction of Stock Market Performance. International Journal of Recent Technology and Engineering, 8(6), 1516–1519 (2020).
9.     J. C. Huang; W. T. Huang; P. T. Chu; W. Y. Lee; H. P. Pai; C. C. Chuang and Y. W. Wu; Applying a Markov Chain for the Stock Pricing of a Novel Forecasting Model. Communications in Statistics-Theory and Methods, 46(9), 4388-4402 (2017).
10. J. C. Hull; Options, Futures and Bother Derivatives–Wiener Processes and Ito’s Lemma. Eighth Edition, New York, Pearson Education, (2018).
11. L. De Mello and D. Moccero; Monetary Policy and Inflation Expectations in Latin America: Long‐Run Effects and Volatility Spill Overs. Journal of Money, Credit and Banking, 41(8), 1671-1690 (2009).
12. Luc Tuyen; A Higher Order Markov Model for Time Series Forecasting. International Journal of Applied Mathematics and Statistics, 57(3), 1-18 (2018).
13. M. A. Raheem and P. O. Ezepue; A Three-State Markov Model for Predicting Movements of Asset Returns of a Nigerian Bank. CBN Journal of Applied Statistics, 7(2), 77-99 (2016).
14. M. K. Bhusal; Application of Markov Chain Model in the Stock Market Trend Analysis of Nepal. International Journal of Scientific & Engineering Research, 8(10) 1733-1745 (2017).
15. M. Svoboda and P. Říhová; Stock Price Prediction Using Markov Chains Analysis with Varying State Space on Data from the Czech Republic. E & M Economics and Management, 24(4), 142–155 (2021).
16. M. Yavuz; A Markov Chain Analysis for BIST Participation Index. Journal of Balıkesir University Institute of Science and Technology, 21(1), 1–8 (2019).
17. N. Petković; M. Božinović and S. Stojanović; Portfolio Optimization by Applying Markov Chains AnaliEkonomskogfakulteta u Subotici, 54(40), 21–32 (2018).
18. Q. F. Dar; G. F. Dar; J. H. Ma and Y. H. Ahn; Visualization, Economic Complexity Index, and Forecasting of South Korea International Trade Profile: A Time Series Approach. Journal of Korea Trade, 24(1), 131-
145 (2020).
19. R. B. Cechin and L. L. Corso; High-Order Multivariate Markov Chain Applied in Dow Jones and IBOVESPA Indexes. Pesquisa Operacional, 39, 205-223 (2019).
20. S. Vasanthi;M. V. Subha and S. T. Nambi; An Empirical Study on Stock Index Trend Prediction Using Markov Chain Analysis. Journal of Banking Financial Services and Insurance Research, 1(1), 72-91 (2011).
21. T. R. Padi; G. F. Dar and S. Rekha; Stock Market Trend Analysis and Prediction Using Markov Chain
Approach in the Context of Indian Stock Market. IOSR Journal of Mathematics, 18(4), 40-48 (2022).
22. W. R. Singh; S. K. Srivastava and J. Ratila; Application of Markov Chain in Predicting Change in Opening Stock Price. International Journal of Mathematics and Its Applications, 5(4-B), 219 – 223 (2017).
23. W. Wei;Z. Chen and J. Wang; A Research on the Three States Markov-Switching Mode-An Application in the Analysis of World Oil Price Fluctuation. Journal of Finance and Economics, 32, 120-131 (2006).

ISSN(P) 2350-0174

ISSN(O) 2456-2378

Journal Content
Browser