The Annals of Probability

On the structure of general mean-variance hedging strategies

Aleš Černý and Jan Kallsen

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We provide a new characterization of mean-variance hedging strategies in a general semimartingale market. The key point is the introduction of a new probability measure P which turns the dynamic asset allocation problem into a myopic one. The minimal martingale measure relative to P coincides with the variance-optimal martingale measure relative to the original probability measure P.

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Ann. Probab. Volume 35, Number 4 (2007), 1479-1531.

First available in Project Euclid: 8 June 2007

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Primary: 91B28 60H05: Stochastic integrals 60G48: Generalizations of martingales 93E20: Optimal stochastic control

Mean-variance hedging opportunity process opportunity-neutral measure incomplete markets


Černý, Aleš; Kallsen, Jan. On the structure of general mean-variance hedging strategies. Ann. Probab. 35 (2007), no. 4, 1479--1531. doi:10.1214/009117906000000872.

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