Abstract
In this paper we compare the predictive ability of the Black-Scholes Formula (BSF) and Artificial Neural Networks (ANNs) to price call options by exploiting historical volatility measures. We use daily data for the S&P 500 European call options and the underlying asset and furthermore, we employ nonlinearly interpolated risk-free interest rate from the Federal Reserve board for the period 1998 to 2000. Using the best models in each sub-period tested, our preliminary results demon strate that by using historical measures of volatility, ANNs outperform the BSF. In addition, the ANNs performance improves even more when a hybrid ANN model is utilized. Our results are significant and differ from previous literature. Finally, we are currently extending the research in order to: a) incorporate appropriate implied volatility per contract with the BSF and ANNs and b) investigate the applicability of the models using trading strategies.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Rubinstein, M.: Nonparametric tests of alternative option pricing models using all reported trades and quotes on the 30 most active CBOE option classes from August 23, 1976 through August 31, 1978. Journal of Finance, Vol. XL (1985) 455–480.
Bakshi, G., Cao, C., Chen, Z.: Empirical performance of alternative options pricing models. Journal of Finance 57 (1997) 2003–2049.
Hutchison, J. M., Lo, A. W., Poggio, T.: A nonparametric approach to pricing and hedging derivative securities via learning networks. Journal of Finance, Vol. 49, No. 3 (1994) 851–889.
Lajbcygier, P., Flitman, A., Swan, A., Hyndman, R.: The pricing and trading of o-ptions using a hybrid neural network model with historical volatility. Neurovest Journal, Vol. 5, No. 1 (1997) 27–41.
Yao, J., Li, Y., Tan, C. L.: Option price forecasting using neural networks. The International Journal of Management Science, Vol. 28 (2000) 455–466.
Lajbcygier, P.: Improving option pricing with the product constrained hybrid neural network. Working paper, Monash University, (2001) Australia.
Watson, P., Gupta, K.C.: EM-ANN models for microstript vias and interconnected in multi-layer circuits. IEEE Trans. Microwave Theory and Techniques (1996) 2495–2503.
Cybenko, G.: Approximation by superpositions of a sigmoidal function. Mathematics of Control, Signal and Systems 2 (1989) 303–314.
Hagan, M., Demuth, H., Beale, M.: Neural Network Design, PWS Publishing Company (1996).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Andreou, P.C., Charalambous, C., Martzoukos, S.H. (2002). Critical Assessment of Option Pricing Methods Using Artificial Neural Networks. In: Dorronsoro, J.R. (eds) Artificial Neural Networks — ICANN 2002. ICANN 2002. Lecture Notes in Computer Science, vol 2415. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46084-5_183
Download citation
DOI: https://doi.org/10.1007/3-540-46084-5_183
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-44074-1
Online ISBN: 978-3-540-46084-8
eBook Packages: Springer Book Archive