Time-series Models - Forecasting Performance inthe Stock Market
Keywords:
ARIMA, time-series, forecasting, stock, financialmarketAbstract
Contradicting evidence on time-series and financial analysts’ forecasting performance calls for further research in financial markets. Motivation to use time-series models rather than analysts’ forecasts stems from recent research that reports time-series predictions to be superior to analysts’ forecasts in predicting earnings for longer periods and for small firms that are hardly followed by financial analysts. The paper aims to explore performance of time series models in forecasting earnings for six firms considering historical data of 11 years from January, 2010 to December, 2020. Monthly average stock data of last 11 years for five firms namely HCL, TCS, Infosys, Reliance, Tech Mahindra and Wipro was considered from NSE site. Every company had 132 values whose graphical plotting and stationarity check was performed. Data series for each of the five companies was found to be non- stationary. After differencing each of them, the series became stationary and graphical plotting was again done. Then best suited ARIMA Model for each stationary time series was determined upon comparison of goodness of fit statistics. After choosing the best suited ARIMA model, residuals were extracted and were found to be random with no external influence whatsoever. Hence forecasting was done based on chosen model for the monthly average stock price of these top six companies of India in 2020. The paper finds that premier ARIMA family models outperform naive time-series models in terms of mean percentage errors, AIC and average ranks. The findings suggest that investors use the selected ARIMA model to form their expectations.
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References
G.E.P. Box, G. Jenkins, Time Series Analysis, Forecasting and Control, revised ed. 1976 Edition, Holden- Day, Incorporated, 1990.
G.L. Griepentrog, J.D. Cummins, Forecasting automobile insurance paid claims using econometric and ARIMA models, Int. J. Forecast. 1 (1985) 203–215.
R. Genesio, S. Pozzi, A. Vicino, U. Di Caprio, Short term load forecasting in electric power systems: a comparison of ARMA models and extended wiener filtering, J. Forecast. 2 (1983) 59–76.
R.E. Spudeck, Scott E. Hein, Forecasting the daily federal funds rate, Int. J. Forecast. 4 (1988)581– 591.
C. Babu, B. Reddy, Predictive data mining on average global temperature using variants of ARIMA models, in: 2012 International Conference on Advances in Engineering, Science and Management (ICAESM), 2012, pp. 256–260.
X. Wang, Y. Liu, ARIMA time series application to employment forecasting, in: 4th International Conference on Computer Science Education, 2009, ICCSE ’09, 2009, pp. 1124–1127. http://dx.doi.org/10. 1109/ICCSE.2009.5228480.
R.F. Engle, Autoregressive conditional heteroscedasticity with estimates of the variance of the united kingdom inflation, Econometrica 50 (1982) 987–1008.
R.F. Engle, D.B. Nelson, T. Bollerslev, ARCH models, in: R.F. Engle, D.L. McFadden (Eds.), Ch. Handbook of Econometrics, vol. IV, 1994, pp. 2959–3038.
T. Bollerslev, R.Y. Chou, K.F. Kroner, Arch modeling in finance: a review of the theory and empirical evidence, J. Econom. 52 (1–2) (1992) 5–59.
L. Bianchi, J. Jarrett, R.C. Hanumara, Improving forecasting for telemarketing centers by {ARIMA} modeling with intervention, Int. J. Forecast. 14 (4) (1998) 497 –504, http://dx.doi.org/10.1016/S0169- 2070(98)00037-5.
H. Ghijsels, P.H. Franses, Additive outliers, GARCH and forecasting volatility, Int. J. Forecast. 15 (1999) 1– 9.
R. Garcia, J. Contreras, M. van Akkeren, J. Garcia, A GARCH forecasting model to predict day- ahead electricity prices, IEEE Trans. Power Syst. 20 (2) (2005) 867 –874, http://dx.doi.org/10.1109/ TPWRS.2005.846044.
E. Scott, Ken Johnston, GARCH models and the stochastic process underlying exchange rate price change,
J. Financ. Strateg. Decis. 13 (2000) 13–24.
F. Yusof, I. Kane, Volatility modeling of rainfall time series, Theoret. Appl. Climatol. 113 (1–2) (2013) 247– 258, http://dx.doi.org/10.1007/s00704-012-0778-8.
C.-L. Hor, S. Watson, S. Majithia, Daily load forecasting and maximum demand estimation using ARIMA and GARCH, in: International Conference on Probabilistic Methods Applied to Power Systems, 2006, PMAPS 2006, 2006, pp. 1–6.
B. Zhou, D. He, Z. Sun, Traffic modeling and prediction using ARIMA/GARCH model, in: A. Nejat Ince,
E. Topuz (Eds.), Modeling and Simulation Tools for Emerging Telecommunication Networks, Springer, US, 2006, pp. 101–121.
C.N. Babu, B.E. Reddy, A moving-average filter based hybrid ARIMA–ANN model for forecasting time series data, Appl. Soft Comput. 23 (0) (2014) 27–38, http://dx.doi.org/10.1016/j.asoc.2014.05.028.
M. O’Mahony, Tigran T. Tchrakian, Biswajit Basu, Real-time traffic flow forecasting using spectral analysis, IEEE Trans. Intell. Transport. Syst. 13 (2012) 519–526.
M. Huang, Y. He, H. Cen, Predictive analysis on electric-power supply and demand in China, Renew. Energy 32 (7) (2007) 1165–1174, http://dx.doi.org/10.1016/j.renene.2006.04.005.
P. Fryzlewicz, Lecture Notes: Financial Time Series, ARCH and GARCH Models, University of Bristol, 2007.
Robert F. Engle III, Risk and Volatility: Econometric Models and Financial Practise, New York University, 2003.
M.S. Heracleous, Volatility Modeling Using the Student-t Distribution, Ph.D. Thesis, Virginia Polytechnic Institute and State University, 2003.
J.-J. Tseng, S.-P. Li, Quantifying volatility clustering in financial time series, Int. Rev. Financ. Anal. 23
(0) (2012) 11–19, http://dx.doi.org/10.1016/j.irfa.2011.06.017 (Complexity and Non-Linearities in Financial Markets: Perspectives from Econophysics).
J.S. Armstrong, Principles of Forecasting: A Handbook for Researchers and Practitioners, Kluwer Academic Publishers, MA, 2001.
B.P. Lathi, Signal Processing and Linear Systems, Oxford University Press, 2000.
T. Bollerslev, R.F. Engle, Common persistence in conditional variances, Econometrica 61 (1) (1993) 167– 186.
Bao, Y., Lu, Y., & Zhang, J. (2004). Forecasting Stock Price by SVMs Regression Yukun. In Lecture Notes in Artificial Intelligence (Subseries of Lecture Notes in Computer Science) (pp. 295 -303). https://doi.org/10.1007/978-3- 540-30106-6_30
Sureshkumar, K. K., & Elango, N. M. (2011). An Efficient Approach to Forecast Indian Stock Market Price and their Performance Analysis. International Journal of Computer Applications, 34(5), 44-49. Retrieved from https://www. semanticscholar.org/paper/An- Efficient-Approach-to-Forecast-
Indian-Stock-and-Sureshkumar-El ango/5fe8b5c6126aa79fb58637b0d 375fd4d4d4c6a6e
Uko, A. K., & Nkoro, E. (2012). Inflation forecasts with ARIMA, vector autoregressive and errorcorrection models in Nigeria. European Journal of Economics, Finance and Administrative Sciences, 50,
Retrieved from
https://www.researchgate.net/publication/288453968_Inflation_forecasts_with_ARIMA_vector_autore gressive_and_error_correc- tion_models_in_Nigeria
Sharma, S., & Kaushik, B. (2018). Review Article Quantitative Analysis of Stock Market Prediction for Accurate Investment Decisions in Future. Journal of Artificial Intelligence, 11(1), 48 -54. https://doi. org/10.3923/jai.2018.48.54
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