Optimal execution strategies in limit order books with general shape functions

A Alfonsi, A Fruth, A Schied - Quantitative finance, 2010 - Taylor & Francis
We consider optimal execution strategies for block market orders placed in a limit order book
(LOB). We build on the resilience model proposed by Obizhaeva and Wang but allow for a …

Optimal trade execution under geometric Brownian motion in the Almgren and Chriss framework

J Gatheral, A Schied - … Journal of Theoretical and Applied Finance, 2011 - World Scientific
With an alternative choice of risk criterion, we solve the HJB equation explicitly to find a
closed-form solution for the optimal trade execution strategy in the Almgren–Chriss …

Risk aversion and the dynamics of optimal liquidation strategies in illiquid markets

A Schied, T Schöneborn - Finance and Stochastics, 2009 - Springer
We consider the infinite-horizon optimal portfolio liquidation problem for a von Neumann–
Morgenstern investor in the liquidity model of Almgren (Appl. Math. Finance 10: 1–18, 2003) …

Optimal trade execution: a mean quadratic variation approach

PA Forsyth, JS Kennedy, ST Tse, H Windcliff - Journal of Economic …, 2012 - Elsevier
We propose the use of a mean quadratic variation criteria to determine an optimal trading
strategy in the presence of price impact. We derive the Hamilton Jacobi Bellman (HJB) …

Order book resilience, price manipulation, and the positive portfolio problem

A Alfonsi, A Schied, A Slynko - SIAM Journal on Financial Mathematics, 2012 - SIAM
The viability of a market impact model is usually considered to be equivalent to the absence
of price manipulation strategies. By analyzing a model with linear instantaneous, transient …

Optimal basket liquidation for CARA investors is deterministic

A Schied, T Schöneborn… - Applied Mathematical …, 2010 - Taylor & Francis
We consider the problem faced by an investor who must liquidate a given basket of assets
over a finite time horizon. The investor's goal is to maximize the expected utility of the sales …

[BOOK][B] The science of algorithmic trading and portfolio management

R Kissell - 2013 - books.google.com
The Science of Algorithmic Trading and Portfolio Management, with its emphasis on
algorithmic trading processes and current trading models, sits apart from others of its kind …

[HTML][HTML] Incorporating signals into optimal trading

CA Lehalle, E Neuman - Finance and Stochastics, 2019 - Springer
We incorporate a Markovian signal in the optimal trading framework which was initially
proposed by Gatheral et al.(Math. Finance 22: 445–474, 2012) and provide results on the …

A mean-VaR based deep reinforcement learning framework for practical algorithmic trading

B Jin - IEEE Access, 2023 - ieeexplore.ieee.org
It is difficult to automatically produce trading signals based on previous transaction data and
the financial status of assets because of the significant noise and unpredictability of capital …

Optimal trade execution and absence of price manipulations in limit order book models

A Alfonsi, A Schied - SIAM Journal on Financial Mathematics, 2010 - SIAM
We analyze the existence of price manipulation and optimal trade execution strategies in a
model for an electronic limit order book with nonlinear price impact and exponential …