The Annals of Applied Probability

Convex pricing by a generalized entropy penalty

Johannes Leitner

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In an incomplete Brownian-motion market setting, we propose a convex monotonic pricing functional for nonattainable bounded contingent claims which is compatible with prices for attainable claims. The pricing functional is defined as the convex conjugate of a generalized entropy penalty functional and an interpretation in terms of tracking with instantaneously vanishing risk can be given.

Article information

Ann. Appl. Probab. Volume 18, Number 2 (2008), 620-631.

First available in Project Euclid: 20 March 2008

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Zentralblatt MATH identifier

Primary: 93E20: Optimal stochastic control 91B28 58E17: Pareto optimality, etc., applications to economics [See also 90C29]

Hedging with vanishing risk generalized entropy quadratic BSDE


Leitner, Johannes. Convex pricing by a generalized entropy penalty. Ann. Appl. Probab. 18 (2008), no. 2, 620--631. doi:10.1214/07-AAP466.

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