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Dynamic Programming and Mean-Variance Hedging in Discrete Time

Černý, A. (2004). Dynamic Programming and Mean-Variance Hedging in Discrete Time. Applied Mathematical Finance, 11(1), pp. 1-25. doi: 10.1080/1350486042000196164


In this paper the general discrete time mean-variance hedging problem is solved by dynamic programming. Thanks to its simple recursive structure the solution is well suited to computer implementation. On the theoretical side, it is shown how the variance-optimal measure arises in the dynamic programming solution and how one can define conditional expectations under this (generally non-equivalent) measure. The result is then related to the results of previous studies in continuous time.

Publication Type: Article
Publisher Keywords: mean‐variance hedging, discrete time, dynamic programming, incomplete market, arbitrage
Subjects: H Social Sciences > HG Finance
Departments: Bayes Business School > Finance
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