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Convergence of utility indifference prices to the superreplication price in a multiple-priors framework

2017/09/27 by Romain Blanchard, Blanchard, Romain, Laurence Carassus +1
Economics, Econometrics and Finance · #FOS: Economics and business #Mathematical Finance (q-fin.MF) #q-fin.MF

paper · pdf · doi:10.48550/arxiv.1709.09465

arxiv created 2020/10/02 · arxiv updated 2020/10/05

Abstract

This paper formulates an utility indifference pricing model for investors trading in a discrete time financial market under non-dominated model uncertainty. The investors preferences are described by strictly increasing concave random functions defined on the positive axis. We prove that under suitable conditions the multiple-priors utility indifference prices of a contingent claim converge to its multiple-priors superreplication price. We also revisit the notion of certainty equivalent for random utility functions and establish its relation with the absolute risk aversion.

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