Forecasting Systematic Risk by Least Angel Regression, AdaBoost and Kernel Ridge Regression

In according to importance of risk in financial decision and investment is one of issue that helps to investors is existing tools and appropriate models in order to predict systematic risk. Aim of this research was forecasting systematic risk of companies admitted at Tehran stock Exchange by Least Angel Regression (LARS), AdaBoost and Kernel Ridge Regression (KRR) and comparing ability of the algorithms in order to find the best methods of the test. In this study the financial data of (1159 observations) during 2005-2014. We used MATLAB software vision (R2013b). Results indicated that Kernel Ridge Regression (KRR) with 9.65% error (90.35% confidence) in comparison with Least Angel Regression (LARS) with 12.15% error (87.85% confidence) and AdaBoost with 28.91% error (71.09 confidence) has more ability for forecasting systematic risk. Moreover, ability of forecasting systematic risk in Least Angel Regression (LARS) is more than AdaBoost.

[1]  Anil Menon,et al.  Determinants of success in service industries: a PIMS‐based empirical investigation , 1993 .

[2]  Paul A. Viola,et al.  Fast and Robust Classification using Asymmetric AdaBoost and a Detector Cascade , 2001, NIPS.

[3]  S. Sarkar,et al.  Equity Systematic Risk (Beta) and Its Determinants , 2007 .

[4]  G. Mandelker,et al.  The Impact of the Degrees of Operating and Financial Leverage on Systematic Risk of Common Stock , 1984, Journal of Financial and Quantitative Analysis.

[5]  R. Tibshirani Regression Shrinkage and Selection via the Lasso , 1996 .

[6]  Robert Tibshirani,et al.  The Elements of Statistical Learning: Data Mining, Inference, and Prediction, 2nd Edition , 2001, Springer Series in Statistics.

[7]  Yoav Freund,et al.  A decision-theoretic generalization of on-line learning and an application to boosting , 1997, EuroCOLT.

[8]  J. Mossin EQUILIBRIUM IN A CAPITAL ASSET MARKET , 1966 .

[9]  Paul A. Viola,et al.  Robust Real-Time Face Detection , 2001, Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001.

[10]  John S. Bildersee The Association Between a Market- Determined Measure of Risk and Alternative Measures of Risk , 2016 .

[11]  V. Acharya,et al.  Analyzing Systemic Risk of the European Banking Sector , 2012 .

[12]  Yoav Freund,et al.  A decision-theoretic generalization of on-line learning and an application to boosting , 1995, EuroCOLT.

[13]  Frank Heflin,et al.  The Association Between the Level of International Diversification and Risk , 1995 .

[14]  Wei Hu,et al.  Network-based intrusion detection using Adaboost algorithm , 2005, The 2005 IEEE/WIC/ACM International Conference on Web Intelligence (WI'05).

[15]  Richard A. Heiens,et al.  The contribution of product quality to competitive advantage: impacts on systematic variance and unexplained variance in returns , 1999 .

[16]  J. Lintner THE VALUATION OF RISK ASSETS AND THE SELECTION OF RISKY INVESTMENTS IN STOCK PORTFOLIOS AND CAPITAL BUDGETS , 1965 .

[17]  Paul A. Viola,et al.  Rapid object detection using a boosted cascade of simple features , 2001, Proceedings of the 2001 IEEE Computer Society Conference on Computer Vision and Pattern Recognition. CVPR 2001.

[18]  Stan Z. Li,et al.  FloatBoost learning and statistical face detection , 2004, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[19]  Myron S. Scholes,et al.  The Association Between Market Determined and Accounting Determined Risk Measures , 2016 .

[20]  Rajaram Veliyath,et al.  Agency Influences on Risk Reduction and Operating Performance: An Empirical Investigation Among Strategic Groups , 1997 .

[21]  Bank Size and Systemic Risk , 2014 .

[22]  Spiros Bougheas,et al.  Complex Financial Networks and Systemic Risk: A Review , 2014, SSRN Electronic Journal.

[23]  Duy-Dinh Le,et al.  Ent-Boost: Boosting Using Entropy Measure for Robust Object Detection , 2006, 18th International Conference on Pattern Recognition (ICPR'06).

[24]  W. Sharpe CAPITAL ASSET PRICES: A THEORY OF MARKET EQUILIBRIUM UNDER CONDITIONS OF RISK* , 1964 .

[25]  Gregor N. F. Weiß,et al.  Systemic Risk and Bank Consolidation: International Evidence , 2013 .

[26]  Paul A. Viola,et al.  Detecting Pedestrians Using Patterns of Motion and Appearance , 2003, Proceedings Ninth IEEE International Conference on Computer Vision.