A generalisation of Malliavin weighted scheme for fast computation of the Greeks

Benhamou, Eric (2000) A generalisation of Malliavin weighted scheme for fast computation of the Greeks. Financial Markets Group Discussion Papers (350). Financial Markets Group, The London School of Economics and Political Science, London, UK.

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Abstract

This paper presented a new technique for the simulation of the Greeks (i.e. price sensitivities to parameters), efficient for strongly discontinuous payoff options. The use of Malliavin calculus, by means of an integration by parts, enables to shift the differentiation operator from the payoff function to the diffusion kernel, introducing a weighting function (Fournie et al. (1999)). Expressing the weighting function as a Skorohod integral, we show how to characterize the integrand with necessary and sufficient conditions, giving a complete description of weighting function solutions. Interestingly, for adapted process, the Skorohod integral turns to be the classical Ito integral.

Item Type:	Monograph (Discussion Paper)
Official URL:	https://www.fmg.ac.uk/
Additional Information:	© 2000 The Author(s)
Divisions:	Financial Markets Group
Subjects:	H Social Sciences > HC Economic History and Conditions H Social Sciences > HG Finance
JEL classification:	G - Financial Economics > G1 - General Financial Markets > G12 - Asset Pricing; Trading volume; Bond Interest Rates G - Financial Economics > G1 - General Financial Markets > G13 - Contingent Pricing; Futures Pricing
Date Deposited:	29 Jun 2023 10:09
Last Modified:	14 Sep 2024 04:33
URI:	http://eprints.lse.ac.uk/id/eprint/119105

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