Classical solutions to reaction-diffusion systems for hedging problems with interacting Ito and point processes
We use probabilistic methods to study classical solutions for systems of interacting semilinear parabolic partial differential equations. In a modeling framework for a financial market with interacting Ito and point processes, such PDEs are shown to provide a natural description for the solution of hedging and valuation problems for contingent claims with a recursive payoff structure.
Year of publication: |
2005-05
|
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Authors: | Becherer, Dirk ; Schweizer, Martin |
Institutions: | arXiv.org |
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