Discrete time shadow price revisited

Tomasz Rogala; Łukasz Stettner

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arXiv · 2506.14708

Discrete time shadow price revisited

Tomasz Rogala·Łukasz Stettner

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Abstract

In the paper discrete time shadow price is constructed for the market with several assets with given bid and ask prices. Shadow price is the price such that the problem of optimal utility from terminal wealth on the market without transaction costs gives the same value function as in the case of bid and ask prices. In the paper we solve first static problem for two assets and then we construct the shadow price for dynamic model. Finally we present construction of the shadow price for several assets.

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Tomasz Rogala, Łukasz Stettner. 2025-06-17. Discrete time shadow price revisited. https://arxiv.org/abs/2506.14708

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