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A data and digital-contracts driven method for pricing complex derivatives

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  • Jun Lu
  • Hiroshi Ohta

Abstract

In this paper, we propose a data and digital-contracts driven (DDCD) method for pricing various complex options. The DDCD method is a combination of nonparametric and parametric methods. In general, nonparametric data driven methods use observed data as training data of a learning network directly. Different from these, in the proposed DDCD method, some European-style digital contracts (DCs) of the underlying assets are added as auxiliary information to guide the learning process of the pricing formula. The DCs can be obtained by using the observed data according to parametric methods. Thus, the DCs are actually used as the hints of the pricing formula, and then the DDCD method has superior pricing accuracy to the common data driven method in practical applications. Some Monte Carlo simulation experiments are performed and the results demonstrate that the proposed method not only has the advantages of generalization and superior accuracy, as the non-parametric method has, but also has the property of robustness to financial data with noise, as the parametric method has.

Suggested Citation

  • Jun Lu & Hiroshi Ohta, 2003. "A data and digital-contracts driven method for pricing complex derivatives," Quantitative Finance, Taylor & Francis Journals, vol. 3(3), pages 212-219.
  • Handle: RePEc:taf:quantf:v:3:y:2003:i:3:p:212-219
    DOI: 10.1088/1469-7688/3/3/307
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    1. Hutchinson, James M & Lo, Andrew W & Poggio, Tomaso, 1994. "A Nonparametric Approach to Pricing and Hedging Derivative Securities via Learning Networks," Journal of Finance, American Finance Association, vol. 49(3), pages 851-889, July.
    2. Rubinstein, Mark, 1985. "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, American Finance Association, vol. 40(2), pages 455-480, June.
    3. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
    4. Garcia, Rene & Gencay, Ramazan, 2000. "Pricing and hedging derivative securities with neural networks and a homogeneity hint," Journal of Econometrics, Elsevier, vol. 94(1-2), pages 93-115.
    5. Cox, John C. & Ross, Stephen A., 1976. "The valuation of options for alternative stochastic processes," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 145-166.
    6. Ingersoll, Jonathan E, Jr, 2000. "Digital Contracts: Simple Tools for Pricing Complex Derivatives," The Journal of Business, University of Chicago Press, vol. 73(1), pages 67-88, January.
    7. Black, Fischer & Scholes, Myron S, 1972. "The Valuation of Option Contracts and a Test of Market Efficiency," Journal of Finance, American Finance Association, vol. 27(2), pages 399-417, May.
    8. Broadie, Mark & Detemple, Jerome & Ghysels, Eric & Torres, Olivier, 2000. "Nonparametric estimation of American options' exercise boundaries and call prices," Journal of Economic Dynamics and Control, Elsevier, vol. 24(11-12), pages 1829-1857, October.
    9. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
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