International Journal of Econometrics and Financial Management
ISSN (Print): 2374-2011 ISSN (Online): 2374-2038 Website: https://www.sciepub.com/journal/ijefm Editor-in-chief: Tarek Sadraoui
Open Access
Journal Browser
Go
International Journal of Econometrics and Financial Management. 2023, 11(1), 1-12
DOI: 10.12691/ijefm-11-1-1
Open AccessArticle

Forecasting Stock Market Out-of-Sample with Regularised Regression Training Techniques

Jonathan Iworiso1,

1School of Computing and Digital Media, London Metropolitan University

Pub. Date: May 07, 2023

Cite this paper:
Jonathan Iworiso. Forecasting Stock Market Out-of-Sample with Regularised Regression Training Techniques. International Journal of Econometrics and Financial Management. 2023; 11(1):1-12. doi: 10.12691/ijefm-11-1-1

Abstract

Forecasting stock market out-of-sample is a major concern to researchers in finance and emerging markets. This research focuses mainly on the application of regularised Regression Training (RT) techniques to forecast monthly equity premium out-of-sample recursively with an expanding window method. A broad category of sophisticated regularised RT models involving model complexity were employed. The regularised RT models which include Ridge, Forward-Backward (FOBA) Ridge, Least Absolute Shrinkage and Selection Operator (LASSO), Relaxed LASSO, Elastic Net and Least Angle Regression were trained and used to forecast the equity premium out-of-sample. In this study, the empirical investigation of the Regularised RT models demonstrate significant evidence of equity premium predictability both statistically and economically relative to the benchmark historical average, delivering significant utility gains. Overall, the Ridge gives the best statistical performance evaluation results while the LASSO appeared to be most economical meaningful. They seek to provide meaningful economic information on mean-variance portfolio investment for investors who are timing the market to earn future gains at minimal risk. Thus, the forecasting models appeared to guarantee an investor in a market setting who optimally reallocates a monthly portfolio between equities and risk-free treasury bills using equity premium forecasts at minimal risk.

Keywords:
regression training out-of-sample expanding window statistical predictability economic significance utility gains

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

References:

[1]  Ahn, J. J., Byun, H. W., Oh, K. J., and Kim, T. Y. (2012). Using ridge regression with genetic algorithm to enhance real estate appraisal forecasting. Expert Systems with Applications, 39(9): 8369-8379.
 
[2]  Alfons, A., Croux, C., and Gelper, S. (2016). Robust groupwise least angle regression. Computational Statistics & Data Analysis, 93: 421-435.
 
[3]  Bai, J. and Ng, S. (2008). Forecasting economic time series using targeted predictors. Journal of Econometrics, 146(2): 304-317.
 
[4]  Campbell, J. Y. and Thompson, S. B. (2005). Predicting the equity premium out of sample: can anything beat the historical average? Technical report, National Bureau of Economic Research.
 
[5]  Campbell, J. Y. and Thompson, S. B. (2007). Predicting excess stock returns out of sample: Can anything beat the historical average? The Review of Financial Studies, 21(4): 1509-1531.
 
[6]  Diebold, F. X. (2015). Comparing predictive accuracy, twenty years later: A personal perspective on the use and abuse of diebold–mariano tests. Journal of Business & Economic Statistics, 33(1): 1-1.
 
[7]  Diebold, F. X. and Mariano, R. S. (2002). Comparing predictive accuracy. Journal of Business & Economic Statistics, 20(1): 134-144.
 
[8]  Efron, B., Hastie, T., Johnstone, I., Tibshirani, R., et al. (2004). Least angle regression. The Annals of Statistics, 32(2): 407-499.
 
[9]  Elliott, G., Gargano, A., and Timmermann, A. (2013). Complete subset regressions. Journal of Econometrics, 177(2): 357-373.
 
[10]  Goyal, A. and Welch, I. (2003). Predicting the equity premium with dividend ratios. Management Science, 49(5): 639-654.
 
[11]  Goyal, A. and Welch, I. (2007). A comprehensive look at the empirical performance of equity premium prediction. The Review of Financial Studies, 21(4): 1455-1508.
 
[12]  Hoerl, A. E. and Kennard, R. W. (1970). Ridge regression: Biased estimation for nonorthogonal problems. Technometrics, 12(1): 55-67.
 
[13]  Iworiso, J. and Vrontos, S. (2020). On the directional predictability of equity premium using machine learning techniques. Journal of Forecasting, 39(3): 449-469.
 
[14]  Iworiso, J. and Vrontos, S. (2021). On the predictability of the equity premium using deep learning techniques. The Journal of Financial Data Science, 3(1): 74-92.
 
[15]  James, G., Witten, D., Hastie, T., and Tibshirani, R. (2013). An introduction to statistical learning. Springer.
 
[16]  Kuhn, M. et al. (2008). Caret package. Journal of statistical software, 28(5): 1-26.
 
[17]  Lee, T.-H., Tu, Y., and Ullah, A. (2015). Forecasting equity premium: global historical average versus local historical average and constraints. Journal of Business & Economic Statistics, 33(3): 393-402.
 
[18]  Li, J. and Tsiakas, I. (2017). Equity premium prediction: The role of economic and statistical constraints. Journal of Financial Markets, 36: 56-75.
 
[19]  MartíNez-MartíNez, J. M., Escandell-Montero, P., Soria-Olivas, E., Mart´ıN-Guerrero, J. D., Magdalena-Benedito, R., and G´oMez-Sanchis, J. (2011). Regularized extreme learning machine for regression problems. Neurocomputing, 74(17):3716-3721.
 
[20]  Meinshausen, N. (2007). Relaxed lasso. Computational Statistics & Data Analysis, 52(1): 374-393.
 
[21]  Rapach, D. E., Strauss, J. K., and Zhou, G. (2007). Out-of-sample equity premium prediction: Consistently beating the historical average. Review of Financial Studies.
 
[22]  Rapach, D. E., Strauss, J. K., and Zhou, G. (2010). Out-of-sample equity premium prediction: Combination forecasts and links to the real economy. The Review of Financial Studies, 23(2): 821-862.
 
[23]  Sagaert, Y. R., Aghezzaf, E.-H., Kourentzes, N., and Desmet, B. (2018). Tactical sales forecasting using a very large set of macroeconomic indicators. European Journal of Operational Research, 264(2):558-569.
 
[24]  Sharpe, W. F. (1994). The sharpe ratio. Journal of portfolio management, 21(1): 49-58.
 
[25]  Tibshirani, R. (1996). Regression shrinkage and selection via the lasso. Journal of the Royal Statistical Society: Series B (Methodological), 58(1): 267-288.
 
[26]  Welch, I. and Goyal, A. (2008). A comprehensive look at the empirical performance of equity premium prediction. The Review of Financial Studies, 21(4): 1455-1508.
 
[27]  Wu, L. and Yang, Y. (2014). Nonnegative elastic net and application in index tracking. Applied Mathematics and Computation, 227: 541-552.
 
[28]  Zou, H. and Hastie, T. (2005). Regularization and variable selection via the elastic net. Journal of the Royal Statistical Society: Series B (Statistical Methodology), 67(2): 301-320.