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Robust mean–variance hedging via G-expectation

Francesca Biagini, Jacopo Mancin and Thilo Meyer Brandis

Stochastic Processes and their Applications, 2019, vol. 129, issue 4, 1287-1325

Abstract: In this paper we study mean–variance hedging under the G-expectation framework. Our analysis is carried out by exploiting the G-martingale representation theorem and the related probabilistic tools, in a continuous financial market with two assets, where the discounted risky one is modeled as a symmetric G-martingale. By tackling progressively larger classes of contingent claims, we are able to explicitly compute the optimal strategy under general assumptions on the form of the contingent claim.

Date: 2019
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DOI: 10.1016/j.spa.2018.04.007

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