European Option Pricing by Using the Support Vector Regression Approach

We explore the pricing performance of Support Vector Regression for pricing S&P 500 index call options. Support Vector Regression is a novel nonparametric methodology that has been developed in the context of statistical learning theory, and until now it has not been widely used in financial econometric applications. This new method is compared with the Black and Scholes (1973) option pricing model, using standard implied parameters and parameters derived via the Deterministic Volatility Functions approach. The empirical analysis has shown promising results for the Support Vector Regression models.

[1]  David S. Bates Post-'87 crash fears in the S&P 500 futures option market , 2000 .

[2]  Johan A. K. Suykens,et al.  Least Squares Support Vector Machines , 2002 .

[3]  J. Jackwerth Recovering Risk Aversion from Option Prices and Realized Returns , 1998 .

[4]  Georg Dorffner,et al.  Risk-neutral density extraction from option prices: improved pricing with mixture density networks , 2001, IEEE Trans. Neural Networks.

[5]  Vladimir Vapnik,et al.  Statistical learning theory , 1998 .

[6]  N. J. Johnson,et al.  Modified t Tests and Confidence Intervals for Asymmetrical Populations , 1978 .

[7]  Johan A. K. Suykens,et al.  Financial time series prediction using least squares support vector machines within the evidence framework , 2001, IEEE Trans. Neural Networks.

[8]  Gurdip Bakshi,et al.  Empirical Performance of Alternative Option Pricing Models , 1997 .

[9]  R. Gencay,et al.  Pricing and Hedging Derivative Securities with Neural Networks and a Homogeneity Hint , 2000 .

[10]  Gunnar Rätsch,et al.  Using support vector machines for time series prediction , 1999 .

[11]  Panayiotis Ch. Andreou,et al.  Pricing and trading European options by combining artificial neural networks and parametric models with implied parameters , 2008, Eur. J. Oper. Res..

[12]  M. Rubinstein. Implied Binomial Trees , 1994 .

[13]  A. Lo,et al.  Nonparametric Estimation of State‐Price Densities Implicit in Financial Asset Prices , 1998 .

[14]  R. Whaley Valuation of American call options on dividend-paying stocks: Empirical tests , 1982 .

[15]  F. Black,et al.  The Pricing of Options and Corporate Liabilities , 1973, Journal of Political Economy.

[16]  E. Ghysels,et al.  A study towards a unified approach to the joint estimation of objective and risk neutral measures for the purpose of options valuation , 2000 .

[17]  Peter Christoffersen,et al.  Série Scientifique Scientific Series the Importance of the Loss Function in Option Valuation the Importance of the Loss Function in Option Valuation , 2022 .

[18]  Francis Eng Hock Tay,et al.  Support vector machine with adaptive parameters in financial time series forecasting , 2003, IEEE Trans. Neural Networks.

[19]  B. Dumas,et al.  Implied volatility functions: empirical tests , 1996, IEEE Conference on Computational Intelligence for Financial Engineering & Economics.

[20]  Bernhard Schölkopf,et al.  A tutorial on support vector regression , 2004, Stat. Comput..

[21]  Paul Lajbcygier,et al.  Improving option pricing with the product constrained hybrid neural network , 2004, IEEE Transactions on Neural Networks.