On the complete model with stochastic volatility by Hobson and Rogers

Andrea Pascucci and Marco Di Francesco

Finance from University Library of Munich, Germany

Abstract: We examine a recent model, proposed by Hobson and Rogers, which generalizes the classical one by Black and Scholes for pricing derivative securities such as options and futures. We treat the numerical solution of some degenerate partial differential equations governing this financial problem and propose some new numerical schemes which naturally apply in this degenerate setting. Then we aim to emphasize the mathematical tractability of the Hobson-Rogers model by presenting analytical and numerical results comparable with the known ones in the classical Black-Scholes environment.

Keywords: Black-Scholes model; stochastic volatility; path-dependent option; hypoelliptic equation (search for similar items in EconPapers)
JEL-codes: G (search for similar items in EconPapers)
Pages: 12 pages
Date: 2005-03-11
Note: Type of Document - pdf; pages: 12
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:wpa:wuwpfi:0503013

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