Optimal Liquidation under Stochastic Liquidity

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Becherer, Dirk; Bilarev, Todor; Frentrup, Peter;
  • Related identifiers: doi: 10.1007/s00780-017-0346-2
  • Subject: Mathematics - Optimization and Control | Mathematics - Probability | Quantitative Finance - Trading and Market Microstructure | Quantitative Finance - Mathematical Finance | 35R35, 49J40, 49L20, 60H30, 60J50, 60J55, 93E20, 91G80

We solve explicitly a two-dimensional singular control problem of finite fuel type for infinite time horizon. The problem stems from the optimal liquidation of an asset position in a financial market with multiplicative and transient price impact. Liquidity is stochasti... View more
  • References (3)

    Daniel Revuz and Marc Yor. Continuous martingales and Brownian motion, volume 293 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]. Springer-Verlag, Berlin, third edition, 1999.

    Ioana Schiopu-Kratina. Tightness of pairs of tight cadlag processes. Stochastic Process. Appl., 21(1):167{177, 1985.

    Anatoli V. Skorokhod. Stochastic equations for di usion processes in a bounded region. Teoriya Veroyatnostej i Ee Primeneniya, 6:287{298, 1961.

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