Rolling Adjoints: Fast Greeks along Monte Carlo scenarios for early-exercise options

Jain, Shashi and Leitao, Alvaro and Oosterlee, Cornelis W (2019) Rolling Adjoints: Fast Greeks along Monte Carlo scenarios for early-exercise options. In: JOURNAL OF COMPUTATIONAL SCIENCE, 33 . pp. 95-112.

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Abstract

In this paper we extend the Stochastic Grid Bundling Method (SGBM), a regress-later Monte Carlo scheme for pricing early-exercise options, with an adjoint method to compute in a highly efficient manner the option sensitivities (the ``Greeks'') along the Monte Carlo paths, with reasonable accuracy. The path-wise SGBM Greeks computation is based on the conventional path-wise sensitivity analysis, however, for a regress-later technique. The resulting sensitivities at the end of the monitoring period are implicitly rolled over into the sensitivities of the regression coefficients of the previous monitoring date. For this reason, we name the method Rolling Adjoints, which facilitates Smoking Adjoints M. Giles, P. Glasserman, Smoking adjoints: fast Monte Carlo Greeks, Risk 19 (1) (2006) 88-92] to compute conditional sensitivities along the paths for options with early-exercise features.

Item Type:	Journal Article
Publication:	JOURNAL OF COMPUTATIONAL SCIENCE
Publisher:	ELSEVIER SCIENCE BV
Additional Information:	copyright for this article is belongs to ELSEVIER SCIENCE BV
Keywords:	Greeks; Monte Carlo; Sensitivities along paths; Early-exercise; SGBM
Department/Centre:	Division of Interdisciplinary Sciences > Management Studies
Date Deposited:	30 Jul 2019 06:12
Last Modified:	30 Jul 2019 06:12
URI:	http://eprints.iisc.ac.in/id/eprint/63153

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