Realised volatility forecasting: A genetic programming approach

Forecasting daily returns volatility is crucial in finance. Traditionally, volatility is modelled using a time-series of lagged information only, an approach which is in essence a theoretical. Although the relationship of market conditions and volatility has been studied for decades, we still lack a clear theoretical framework to allow us to forecast volatility, despite having many plausible explanatory variables. This setting of a data-rich but theory-poor environment suggests a useful role for powerful model induction methodologies such as Genetic Programming. This study forecasts one-day ahead realised volatility (RV) using a GP methodology that incorporates information on market conditions including trading volume, number of transactions, bid-ask spread, average trading duration and implied volatility. The forecasting result from GP is found to be significantly better than that of the benchmark model from the traditional finance literature, the heterogeneous autoregressive model (HAR).

[1]  C. Granger,et al.  Forecasting Volatility in Financial Markets: A Review , 2003 .

[2]  Charles M. Jones,et al.  Transactions, Volume, and Volatility , 1994 .

[3]  Christopher J. Neely,et al.  Predicting Exchange Rate Volatility: Genetic Programming Versus GARCH and RiskMetrics , 2001 .

[4]  Cheng-Few Lee,et al.  Intraday Return Volatility Process: Evidence from NASDAQ Stocks , 2002 .

[5]  S. Mittnik,et al.  The Volatility of Realized Volatility , 2005 .

[6]  Linlan Xiao,et al.  Realized volatility forecasting: empirical evidence from stock market indices and exchange rates , 2013 .

[7]  Maosen Zhong,et al.  Intraday Trading Volume and Return Volatility of the Djia Stocks: A Note , 2002 .

[8]  Francis X. Diebold,et al.  Modeling and Forecasting Realized Volatility , 2001 .

[9]  F. Diebold,et al.  Roughing It Up: Including Jump Components in the Measurement, Modeling, and Forecasting of Return Volatility , 2005, The Review of Economics and Statistics.

[10]  S. Ben Hamida,et al.  Recovering Volatility from Option Prices by Evolutionary Optimization , 2004 .

[11]  T. Bollerslev,et al.  ANSWERING THE SKEPTICS: YES, STANDARD VOLATILITY MODELS DO PROVIDE ACCURATE FORECASTS* , 1998 .

[12]  P. Nordin Genetic Programming III - Darwinian Invention and Problem Solving , 1999 .

[13]  Tony Wong,et al.  Forecasting the volatility of a financial index by wavelet transform and evolutionary algorithm , 2004, 2004 IEEE International Conference on Systems, Man and Cybernetics (IEEE Cat. No.04CH37583).

[14]  陳樹衡,et al.  Using Genetic Programming to Model Volatility in Financial Time Series , 1997 .

[15]  D. Skovmand,et al.  Implied and Realized Volatility in the Cross-Section of Equity Options , 2008 .

[16]  L. Glosten,et al.  On the Relation between the Expected Value and the Volatility of the Nominal Excess Return on Stocks , 1993 .

[17]  Fulvio Corsi,et al.  A Simple Approximate Long-Memory Model of Realized Volatility , 2008 .

[18]  Robert F. Engle,et al.  The Econometrics of Ultra-High Frequency Data , 1996 .

[19]  Stephen L Taylor,et al.  Forecasting the volatility of currency exchange rates , 1987 .

[20]  Wen-Chung Guo,et al.  Asset price volatility and trading volume with rational beliefs , 2004 .

[21]  Nelson Areal,et al.  The Realized Volatility of Ftse-100 Futures Prices , 2000 .

[22]  Chris Brooks Predicting stock index volatility: can market volume help? , 1998 .

[23]  Sana Ben Hamida,et al.  Selecting the Best Forecasting-Implied Volatility Model Using Genetic Programming , 2009, Adv. Decis. Sci..

[24]  Jot Yau,et al.  Trading volume, bid–ask spread, and price volatility in futures markets , 2000 .

[25]  John R. Koza,et al.  Genetic Programming III: Darwinian Invention & Problem Solving , 1999 .

[26]  Oliver Masutti,et al.  Genetic Programming with Syntactic Restrictions Applied to Financial Volatility Forecasting , 2001 .

[27]  Fulvio Corsi,et al.  A Simple Long Memory Model of Realized Volatility , 2004 .

[28]  Riccardo Poli,et al.  A Field Guide to Genetic Programming , 2008 .

[29]  Marwan Izzeldin,et al.  Forecasting Daily Stock Volatility: the Role of Intraday Information and Market Conditions , 2008 .

[30]  Yacine Ait-Sahalia,et al.  Out of Sample Forecasts of Quadratic Variation , 2008 .

[31]  Elena Kalotychou,et al.  Volatility and trading activity in Short Sterling futures , 2006 .

[32]  Tao Wang,et al.  Realized volatility in the futures markets , 2003 .

[33]  Michael McAleer,et al.  Realized Volatility: A Review , 2008 .