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Simulations for American Option Pricing Under a Jump-Diffusion Model: Comparison Study between Kernel-Based and Regression-based Methods

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Advances in Neural Networks - ISNN 2008 (ISNN 2008)

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Abstract

There is no exact analytic formula for valuing American option even in the diffusion model because of its early exercise feature. Recently, Monte Carlo simulation (MCS) methods are successfully applied to American option pricing, especially under diffusion models. They include regression-based methods and kernel-based methods. In this paper, we conduct a performance comparison study between the kernel-based MCS methods and the regression-based MCS methods under a jump-diffusion model.

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References

  1. Amin, K.: Jump Diffusion Option Valuation in Discrete Time. Journal of Finance 48, 1833–1863 (1993)

    Article  Google Scholar 

  2. Black, F., Scholes, M.: The Pricing of Options and Corporate Liabilities. Journal of Politics and Econometrics 81, 637–654 (1973)

    Article  Google Scholar 

  3. Broadie, M., Glasserman, P.: A Stochastic Mesh Method for Pricing High-dimensional American Options. PaineWebber Working Papers in Money, Economics and Finance PW9804, Columbia Business School, New York (1997)

    Google Scholar 

  4. Carriére, J.: Valuation of Early-exercise Price of Options Using Simulations and Nonparametric Regression. Insurance Mathematics and Economics 19, 19–30 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  5. Lee, D.W., Lee, J.: Equilibrium-based Support Vector Machine for Semi-supervised Classification. IEEE Transactions on Neural Networks 18, 578–583 (2007)

    Article  Google Scholar 

  6. Lee, D.W., Lee, J.: Domain Described Support Vector Classifier for Multi-classification Problems. Pattern Recognition 40, 41–51 (2007)

    Article  MATH  Google Scholar 

  7. Glasserman, P.: Monte Carlo Methods in Financial Engineering. Springer, New York (2004)

    MATH  Google Scholar 

  8. Han, G., Kim, B.H., Lee, J.: Kernel-based Monte Carlo Simulation for American Option Pricing. Expert Systems with Applications (accepted, in press)

    Google Scholar 

  9. Lee, J., Lee, D.W.: Dynamic Characterization of Cluster Strutures for Robust and Inductive Support Vector Clustering. IEEE Transactions on Pattern Analysis and Machine Intelligence 28, 1869–1874 (2006)

    Article  Google Scholar 

  10. Lee, J., Lee, D.W.: An Improved Cluster Labelling Method for Support Vector Clustering. IEEE Transactions on Pattern Analysis and Machine Intelligence 27, 461–464 (2005)

    Article  Google Scholar 

  11. Longstaff, F., Schwartz, E.: Valuing American Options by simulation: A Simple Least-squares Approach. Review of Financial Studies 14, 113–147 (2001)

    Article  Google Scholar 

  12. Madan, D.B., Carr, P.P., Chang, E.C.: The Variance Gamma Process and Option Pricing. European Finance Review 2, 79–105 (1998)

    Article  MATH  Google Scholar 

  13. Merton, R.: Option Pricing When Underying Stock Returns are Discontinuous. Journal of Financial Economics 3, 125–144 (1976)

    Article  MATH  Google Scholar 

  14. Scholkopf, B., Smola, A.J.: Learning with Kernels. Springer, New York (2001)

    Google Scholar 

  15. Tilley, J.: Valuing American Options in a Path Simulation Model. Transactions of the Society of Actuaries 45, 83–104 (1993)

    Google Scholar 

  16. Tsitsiklis, J., Van Roy, B.: Optimal Stopping of Markov Processes: Hilbert Space Theory, Approximation Algorithms, and an Application to Pricing High-dimensional Financial Derivatives. IEEE Transactions on Automatic Control 44, 1840–1851 (1999)

    Article  MATH  Google Scholar 

  17. Tsitsiklis, J., Van Roy, B.: Regression Methods for Pricing Complex American-style Options. IEEE Transactions on Automatic Control 12, 694–703 (2001)

    Google Scholar 

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© 2008 Springer-Verlag Berlin Heidelberg

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Lee, HJ., Yang, SH., Han, GS., Lee, J. (2008). Simulations for American Option Pricing Under a Jump-Diffusion Model: Comparison Study between Kernel-Based and Regression-based Methods. In: Sun, F., Zhang, J., Tan, Y., Cao, J., Yu, W. (eds) Advances in Neural Networks - ISNN 2008. ISNN 2008. Lecture Notes in Computer Science, vol 5263. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87732-5_73

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  • DOI: https://doi.org/10.1007/978-3-540-87732-5_73

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-87731-8

  • Online ISBN: 978-3-540-87732-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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