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- W3122881836 abstract "We present two different approaches to stochastic integration in frictionless model free financial mathematics. The first one is in the spirit of It^o's integral and based on a certain topology which is induced by the outer measure corresponding to the minimal superhedging price. The second one is based on the controlled rough integral. We prove that every typical price path has a naturally associated It^o rough path, and justify the application of the controlled rough integral in finance by showing that it is the limit of non-anticipating Riemann sums, a new result in itself. Compared to the first approach, rough paths have the disadvantage of severely restricting the space of integrands, but the advantage of being a Banach space theory. Both approaches are based entirely on financial arguments and do not require any probabilistic structure." @default.
- W3122881836 created "2021-02-01" @default.
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- W3122881836 date "2016-06-01" @default.
- W3122881836 modified "2023-09-27" @default.
- W3122881836 title "Pathwise stochastic integrals for model free finance" @default.
- W3122881836 hasPublicationYear "2016" @default.
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