We find approximate solutions of partial integro-differential equations, which arise in financial models when defaultable assets are described by general scalar Lévy-type stochastic processes. We derive rigorous error bounds for the approximate solutions. We also provide numerical examples illustrating the usefulness and versatility of our methods in a variety of financial settings.
Pricing approximations and error estimates for local Lévy-type models with default
Pagliarani, Stefano;
2015-01-01
Abstract
We find approximate solutions of partial integro-differential equations, which arise in financial models when defaultable assets are described by general scalar Lévy-type stochastic processes. We derive rigorous error bounds for the approximate solutions. We also provide numerical examples illustrating the usefulness and versatility of our methods in a variety of financial settings.File in questo prodotto:
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LPP-StochProcAndApp-2.14-Paper.pdf
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Pricing approximations and error estimates for local Levy-type models with default.pdf
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