Abstract
Option pricing is a process to obtain the theoretical fair value of an option based on the factors affecting its price. Currently, the nonparametric and computational methods of option valuation are able to construct a model of the pricing formula from historical data. However, these models are generally based on a global learning paradigm, which may not be able to efficiently and accurately capture the dynamics and time-varying characteristics of the option data. This paper proposes a novel brain-inspired cerebellar associative memory model for pricing American-style option on currency futures. The proposed model, called PSECMAC, constitute a local learning model that is inspired by the neurophysiological aspects of the human cerebellum. The PSECMAC-based option pricing model is subsequently applied in a mis-priced option arbitrage trading system. Simulation results show a return on investment as high as 23.1% for a relatively risk-free investment.
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References
Chance, D.M.: An Introduction to Derivatives & Risk Management, 6th edn. Thomson (2004)
Nielsen, L.T.: Pricing and Hedging of Derivative Securities – Textbook in continuous-time finance theory. Oxford University Press, Oxford (1999)
Black, F., Scholes, N.: The pricing of options and corporate liabilities. Journal of Political Economy 81, 637–659 (1973)
Rendleman Jr., R.J., Bartter, B.J.: Two-state option pricing. Journal of Finance 34, 1093–1110 (1979)
Radzikowski, P.: Non-parametric methods of option pricing. In: Proc. of Informs-Korms (Seoul 2000 conference), pp. 474–480 (2000)
Amilon, H.: A neural network versus black-scholes: A comparison of pricing and hedging performances. Scandinavian Working Papers in Economics, Lund University series, Department of economics, Lund, Sweden (2001)
Anders, U., Korn, O., Schmitt, C.: Improving the pricing of options - a neural network approach. Journal of Forecasting 17(5–6), 369–388 (1998)
Qi, M., Maddala, G.S.: Option-pricing using artificial neural networks: the case of s&p500 index call options. Neural Networks in Financial Engineering, 78–92 (1995)
Hutchinson, J., Lo, A., Poggio, T.: A nonparametric approach to pricing and hedging derivative securities via learning networks. Journal of Finance 49, 851–889 (1994)
Keber, C.: Option pricing with the genetic programming approach. Journal of Computational Intelligence in Finance 7(6), 26–36 (1999)
Ait-Sahalia, Y., Lo, A.W.: Nonparametric estimation of state-price densities implicit in financial asset price. LFE-1024-95, MIT-Sloan School of Management (1995)
Tung, W.L., Quek, C.: GenSo-OPATS: A brain-inspired dynamically evolving option pricing model and arbitrage trading system. In: Proc. IEEE CEC 2005, Edinburgh, Scotland, vol. 3, pp. 2429–2436 (2005)
Huang, K., Yang, H., King, I., Lyu, M.: Local learning vs. global learning: An introduction to maxi-min margin machine. In: Wang, L. (ed.) Support Vector Machines: Theory and Applications, vol. 177, pp. 113–132. Springer, Heidelberg (2005)
Bottou, L., Vapnik, V.: Local learning algorithms. Neural Computation 4, 888–900 (1992)
Kandel, E.R., Schwartz, J.H., Jessell, T.M.: Principles of Neural Science, 4th edn. McGraw-Hill, New York (2000)
Middleton, F.A., Strick, P.L.: The cerebellum: An overview. Trends in Cognitive Sciences 27(9), 305–306 (1998)
Albus, J.S.: Marr and Albus theories of the cerebellum two early models of associative memory. In: Proc. IEEE Compcon (1989)
Albus, J.S.: A new approach to manipulator control: The Cerebellar Model Articulation Controller (CMAC). J. Dyn. Syst. Meas. Control, Trans. ASME, 220–227 (1975)
Albus, J.S.: Data storage in Cerebellar Model Articullation Controller (CMAC). J. Dyn. Syst. Meas. Control, Trans. ASME, 228–233 (1975)
Yamamoto, T., Kaneda, M.: Intelligent controller using CMACs with self-organized structure and its application for a process system. IEICE Trans. Fundamentals 82(5), 856–860 (1999)
Commuri, S., Jagannathan, S., Lewis, F.L.: CMAC neural network control of robot manipulators. J. Robot Syst. 14(6), 465–482 (1997)
Ang, K., Quek, C.: Stock trading using PSEC and RSPOP: A novel evolving rough set-based neuro-fuzzy approach. IEEE Congress on Evolutionary Computation (2005)
Federmeier, K.D., Kleim, J.A., Greenough, W.T.: Learning-induces multiple synapse formation in rat cerebellar cortex. Neuroscience Letters 332, 180–184 (2002)
Teddy, S.D., Quek, C., Lai, E.M.K.: Psecmac: A brain-inspired multi resolution cerebellar learning memory model. Neural Computation (under review, 2006)
Widrow, B., Stearns, S.D.: Adaptive Signal Processing. Prentice-Hall, Englewood Cliffs (1985)
Chicago Mercantile Exchange, U. Online, http://www.cme.com
Gencay, R.: The predictability of security returns with simple trading rules. Journal of Empirical Finance 5(4), 347–359 (1998)
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Teddy, S.D., Lai, E.M.K., Quek, C. (2006). A Brain-Inspired Cerebellar Associative Memory Approach to Option Pricing and Arbitrage Trading. In: King, I., Wang, J., Chan, LW., Wang, D. (eds) Neural Information Processing. ICONIP 2006. Lecture Notes in Computer Science, vol 4234. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11893295_42
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DOI: https://doi.org/10.1007/11893295_42
Publisher Name: Springer, Berlin, Heidelberg
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