Portfolio liquidation under factor uncertainty

Arbeitspapier

We study an optimal liquidation problem under the ambiguity with respect to price impact parameters. Our main results show that the value function and the optimal trading strategy can be characterized by the solution to a semi-linear PDE with superlinear gradient, monotone generator and singular terminal value. We also establish an asymptotic analysis of the robust model for small amounts of uncertainty and analyze the effect of robustness on optimal trading strategies and liquidation costs. In particular, in our model ambiguity aversion is observationally equivalent to increased risk aversion. This suggests that ambiguity aversion increases liquidation rates.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Series: Discussion Paper ; No. 274

Classification and Topics

• Classification: Wirtschaft
• Subject: stochastic control ; uncertainty ; portfolio liquidation ; singular terminal value ; superlinear growth gradient

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Horst, Ulrich ; Xia, Xiaonyu ; Zhou, Chao
• Event: Veröffentlichung
• (who): Ludwig-Maximilians-Universität München und Humboldt-Universität zu Berlin, Collaborative Research Center Transregio 190 - Rationality and Competition
• (where): München und Berlin
• (when): 2021

Further information

• Handle: http://hdl.handle.net/10419/233497
• Last update: 10.03.2025, 11:41 AM CET