Forecasting Model of Microsoft’s Daily Return and Its Volatility


International Research Journal of Economics and Management Studies
© 2024 by IRJEMS
Volume 3  Issue 9
Year of Publication : 2024
Authors : Runsheng Rong
irjems doi : 10.56472/25835238/IRJEMS-V3I9P119

Citation:

Runsheng Rong. "Forecasting Model of Microsoft’s Daily Return and Its Volatility" International Research Journal of Economics and Management Studies, Vol. 3, No. 9, pp. 158-165, 2024.

Abstract:

Returns on stocks often fluctuate greatly. Financial analysts must develop the right models in order to predict returns on stocks and volatility. This study constructs an initial AR model for predicting Microsoft's daily return. It then uses the ARCHLM test method to verify the ARCH impact in the residuals and plots the ACF and PACF plots to determine the autocorrelation relationship between the squares of the residual terms. Finally, it constructs the full model, which consists of a GARCH model to predict Microsoft's volatility and an AR model to forecast the company's daily return.

References:

[1] Moradi, M., Jabbari Nooghabi, M. and Rounaghi, M. (2021) ‘Investigation of fractal market hypothesis and forecasting time series stock returns for Tehran Stock Exchange and London Stock Exchange’. International Journal of Finance & Economics, 26(1), pp.662-678.
[2] Box, G. and Jenkins, G. (1970) Time series analysis: Forecasting and control. San Francisco: Holden‐Day.
[3] Franses, P. and Van Dijk, D. (1996) ‘Forecasting stock market volatility using (non‐linear) Garch models’. Journal of forecasting, 15(3), pp.229-235.
[4] Bollerslev, T. (1986) ‘Generalized autoregressive conditional heteroskedasticity’. Journal of econometrics, 31(3), pp.307-327.
[5] Poon, S. and Taylor, S. (1992) ‘Stock returns and volatility: An empirical study of the UK stock market’. Journal of banking & finance, 16(1), pp.37-59.
[6] Woolf, B. (1957) ‘The log likelihood ratio test (the G‐test)’. Annals of human genetics, 21(4), pp.397-409.
[7] Nam, K. et al. (2017) ‘Logistic regression likelihood ratio test analysis for detecting signals of adverse events in post-market safety surveillance’. Journal of Biopharmaceutical Statistics, 27(6), pp.990-1008.
[8] Karimi, M. (2007) ‘A corrected FPE criterion for autoregressive processes’. In 2007 15th European Signal Processing Conference, pp.803-806. IEEE.
[9] Vrieze, S. (2012) ‘Model selection and psychological theory: a discussion of the differences between the Akaike information criterion (AIC) and the Bayesian information criterion (BIC)’. Psychological methods, 17(2), pp.228.
[10] Maïnassara, Y. and Kokonendji, C. (2016) ‘Modified Schwarz and Hannan–Quinn information criteria for weak VARMA models’. Statistical Inference for Stochastic Processes, 19, pp.199-217.
[11] Li, W. and Mak, T. (1994) ‘On the squared residual autocorrelations in non‐linear time series with conditional heteroskedasticity’. Journal of Time Series Analysis, 15(6), pp.627-636.
[12] Sjölander, P. (2011) ‘A stationary unbiased finite sample ARCH-LM test procedure’. Applied Economics, 43(8), pp.1019-1033.
[13] Somarajan, S. et al. (2019) ‘Modelling and analysis of volatility in time series data’. Soft Computing and Signal Processing: Proceedings of ICSCSP 2018. 2nd ed. Singapore: Springer Singapore, pp.609-618.
[14] Lojowska, A., Kurowicka, D., Papaefthymiou, G. and van der Sluis, L. (2010) ‘Advantages of ARMA-GARCH wind speed time series modeling’. In 2010 IEEE 11th International Conference on Probabilistic Methods Applied to Power Systems, pp.83-88. IEEE.
[15] Ahmed, N., Atiya, A., Gayar, N. and El-Shishiny, H. (2010) ‘An empirical comparison of machine learning models for time series forecasting’. Econometric reviews, 29(5-6), pp.594-621.

Keywords:

forecast the return of stock and its volatility, AR model, ARCH-LM test, ACF and PACF plots, GARCH model.