Representations for conditional expectations and applications to pricing and hedging of financial products in Levy and jump-diffusion setting

Open Access
Authors
Publication date 2019
Journal Stochastic Analysis and Applications
Volume | Issue number 37 | 2
Pages (from-to) 281-319
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract In this article, we derive expressions for conditional expectations in terms of regular expectations without conditioning but involving some weights. For this purpose, we apply two approaches: the conditional density method and the Malliavin method. We use these expressions for the numerical estimation of the price of American options and their deltas in a Lévy and jump-diffusion setting. Several examples of applications to financial and energy markets are given including numerical examples.
Document type Article
Language English
Published at https://doi.org/10.1080/07362994.2018.1561306
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