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An exact method for the sensitivity analysis of systems simulated by rejection techniques

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Listed:
  • Joshi, Mark S.
  • Zhu, Dan

Abstract

We compute first- and second-order sensitivities of functions simulated by rejection techniques. The methodology is to perform a measure change on every acceptance test, so that the pathwise discontinuities resulting from the rejection decisions are removed. The change of measure is chosen to be optimal in terms of minimizing variances of the likelihood ratio terms. Applications are presented for computing Greeks of equity options with certain Le´vy-driven underlyings and to finding sensitivities of performance measures in queueing systems. The numerical results demonstrate the efficacy and speed of the method.

Suggested Citation

  • Joshi, Mark S. & Zhu, Dan, 2016. "An exact method for the sensitivity analysis of systems simulated by rejection techniques," European Journal of Operational Research, Elsevier, vol. 254(3), pages 875-888.
    • Handle: RePEc:eee:ejores:v:254:y:2016:i:3:p:875-888
    DOI: 10.1016/j.ejor.2016.04.024
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    References listed on IDEAS

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    1. Guangwu Liu & L. Jeff Hong, 2011. "Kernel Estimation of the Greeks for Options with Discontinuous Payoffs," Operations Research, INFORMS, vol. 59(1), pages 96-108, February.
    2. Jiun Hong Chan & Mark Joshi, 2015. "Optimal limit methods for computing sensitivities of discontinuous integrals including triggerable derivative securities," IISE Transactions, Taylor & Francis Journals, vol. 47(9), pages 978-997, September.
    3. Mark Joshi & Chao Yang, 2011. "Algorithmic Hessians and the fast computation of cross-gamma risk," IISE Transactions, Taylor & Francis Journals, vol. 43(12), pages 878-892.
    4. Paul Glasserman, 1991. "Structural Conditions for Perturbation Analysis Derivative Estimation: Finite-Time Performance Indices," Operations Research, INFORMS, vol. 39(5), pages 724-738, October.
    5. Madan, Dilip B & Seneta, Eugene, 1990. "The Variance Gamma (V.G.) Model for Share Market Returns," The Journal of Business, University of Chicago Press, vol. 63(4), pages 511-524, October.
    6. Hisashi Tanizaki, 2008. "A Simple Gamma Random Number Generator for Arbitrary Shape Parameters," Economics Bulletin, AccessEcon, vol. 3(7), pages 1-10.
    7. Eric Benhamou, 2003. "Optimal Malliavin Weighting Function for the Computation of the Greeks," Mathematical Finance, Wiley Blackwell, vol. 13(1), pages 37-53, January.
    8. 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.
    9. L. Jeff Hong & Guangwu Liu, 2010. "Pathwise Estimation of Probability Sensitivities Through Terminating or Steady-State Simulations," Operations Research, INFORMS, vol. 58(2), pages 357-370, April.
    10. repec:ebl:ecbull:v:3:y:2008:i:7:p:1-10 is not listed on IDEAS
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