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Hedging derivative securities with genetic programming

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  • Shu‐Heng Chen
  • Wo‐Chiang Lee
  • Chia‐Hsuan Yeh

Abstract

One of the most recent applications of GP to finance is to use genetic programming to derive option pricing formulas. Earlier studies take the Black–Scholes model as the true model and use the artificial data generated by it to train and to test GP. The aim of this paper is to provide some initial evidence of the empirical relevance of GP to option pricing. By using the real data from S&P 500 index options, we train and test our GP by distinguishing the case in‐the‐money from the case out‐of‐the‐money. Unlike most empirical studies, we do not evaluate the performance of GP in terms of its pricing accuracy. Instead, the derived GP tree is compared with the Black–Scholes model in its capability to hedge. To do so, a notion of tracking error is taken as the performance measure. Based on the post‐sample performance, it is found that in approximately 20% of the 97 test paths GP has a lower tracking error than the Black–Scholes formula. We further compare our result with the ones obtained by radial basis functions and multilayer perceptrons and one‐stage GP. Copyright © 1999 John Wiley & Sons, Ltd.

Suggested Citation

  • Shu‐Heng Chen & Wo‐Chiang Lee & Chia‐Hsuan Yeh, 1999. "Hedging derivative securities with genetic programming," Intelligent Systems in Accounting, Finance and Management, John Wiley & Sons, Ltd., vol. 8(4), pages 237-251, December.
    • Handle: RePEc:wly:isacfm:v:8:y:1999:i:4:p:237-251
    DOI: 10.1002/(SICI)1099-1174(199912)8:43.0.CO;2-J
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    References listed on IDEAS

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    Cited by:

    1. Daniel E. O'Leary, 2010. "Intelligent Systems in Accounting, Finance and Management: ISI journal and proceeding citations, and research issues from most‐cited papers," Intelligent Systems in Accounting, Finance and Management, John Wiley & Sons, Ltd., vol. 17(1), pages 41-58, January.
    2. Julia Bennell & Charles Sutcliffe, 2004. "Black–Scholes versus artificial neural networks in pricing FTSE 100 options," Intelligent Systems in Accounting, Finance and Management, John Wiley & Sons, Ltd., vol. 12(4), pages 243-260, October.
    3. Daniel E. O'Leary, 2009. "Downloads and citations in Intelligent Systems in Accounting, Finance and Management," Intelligent Systems in Accounting, Finance and Management, John Wiley & Sons, Ltd., vol. 16(1‐2), pages 21-31, January.

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