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Optimal Limit Methods for Computing Sensitivities of

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  • Jiun Hong Chan and Mark Joshi

Abstract

We introduce a new approach to computing sensitivities of discontinuous integrals.The methodology is generic in that it only requires knowledge of the simulation scheme and the location of the integrand's singularities. The methodology is proven to be optimal in terms of minimizing the variance of the measure changes caused by the elimination of the discontinuities for finite bump sizes. An efficient adjoint implementation of the small bump-size limit is discussed, and the method is shown to be effective for a number of natural examples involving triggerable interest rate derivative securities.

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Bibliographic Info

Paper provided by The University of Melbourne in its series Department of Economics - Working Papers Series with number 1142.

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Length: 32 pages
Date of creation: 2012
Date of revision:
Handle: RePEc:mlb:wpaper:1142

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Related research

Keywords: Price Sensitivities; Monte-Carlo Greeks; Partial Proxy Simulation Scheme; Minimal Partial;

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  1. Mark Broadie & Paul Glasserman, 1996. "Estimating Security Price Derivatives Using Simulation," Management Science, INFORMS, vol. 42(2), pages 269-285, February.
  2. Christian P. Fries & Mark S. Joshi, 2011. "Perturbation Stable Conditional Analytic Monte-Carlo Pricing Scheme For Auto-Callable Products," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 14(02), pages 197-219.
  3. Heidergott, Bernd & Vazquez-Abad, Felisa J. & Volk-Makarewicz, Warren, 2008. "Sensitivity estimation for Gaussian systems," European Journal of Operational Research, Elsevier, vol. 187(1), pages 193-207, May.
  4. Joshi, Mark & Yang, Chao, 2011. "Fast delta computations in the swap-rate market model," Journal of Economic Dynamics and Control, Elsevier, vol. 35(5), pages 764-775, May.
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