Optimal brokerage contracts in Almgren-Chriss model with multiple clients

التفاصيل البيبلوغرافية
العنوان: Optimal brokerage contracts in Almgren-Chriss model with multiple clients
المؤلفون: Alvarez, Guillermo Alonso, Nadtochiy, Sergey, Webster, Kevin
سنة النشر: 2022
المجموعة: Quantitative Finance
مصطلحات موضوعية: Quantitative Finance - Trading and Market Microstructure, Quantitative Finance - Mathematical Finance
الوصف: This paper constructs optimal brokerage contracts for multiple (heterogeneous) clients trading a single asset whose price follows the Almgren-Chriss model. The distinctive features of this work are as follows: (i) the reservation values of the clients are determined endogenously, and (ii) the broker is allowed to not offer a contract to some of the potential clients, thus choosing her portfolio of clients strategically. We find a computationally tractable characterization of the optimal portfolios of clients (up to a digital optimization problem, which can be solved efficiently if the number of potential clients is small) and conduct numerical experiments which illustrate how these portfolios, as well as the equilibrium profits of all market participants, depend on the price impact coefficients.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2204.05403
رقم الانضمام: edsarx.2204.05403
قاعدة البيانات: arXiv