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In this paper, we construct a solution to the optimal contract problem for delegated portfolio management of the fist-best (risk-sharing) type. The novelty of our result is (i) in the robustness of the optimal contract with respect to…

Portfolio Management · Quantitative Finance 2018-02-27 Sergey Nadtochiy , Thaleia Zariphopoulou

In this paper, we obtain a duality result for the exponential utility maximization problem where trading is subject to quadratic transaction costs and the investor is required to liquidate her position at the maturity date. As an…

Mathematical Finance · Quantitative Finance 2023-06-06 Yan Dolinsky

Traders are often faced with large block orders in markets with limited liquidity and varying volatility. Executing the entire order at once usually incurs a large trading cost because of this limited liquidity. In order to minimize this…

Trading and Market Microstructure · Quantitative Finance 2013-12-23 Nico Achtsis , Dirk Nuyens

Calibrating a trading rule using a historical simulation (also called backtest) contributes to backtest overfitting, which in turn leads to underperformance. In this paper we propose a procedure for determining the optimal trading rule…

Portfolio Management · Quantitative Finance 2014-09-30 Peter P. Carr , Marcos Lopez de Prado

This paper investigates the investment behaviour of a large unregulated financial institution (FI) with CARA risk preferences. It shows how the FI optimizes its trading to account for market illiquidity using an extension of the…

Mathematical Finance · Quantitative Finance 2016-10-04 T. R. Hurd , Quentin H. Shao , Tuan Tran

We consider the problem of optimal trading for a power producer in the context of intraday electricity markets. The aim is to minimize the imbalance cost induced by the random residual demand in electricity, i.e. the consumption from the…

Trading and Market Microstructure · Quantitative Finance 2018-11-27 René Aïd , Pierre Gruet , Huyên Pham

This paper focuses on an extension of the Limit Order Book (LOB) model with general shape introduced by Alfonsi, Fruth and Schied. Here, the additional feature allows a time-varying LOB depth. We solve the optimal execution problem in this…

Trading and Market Microstructure · Quantitative Finance 2012-04-16 Aurélien Alfonsi , José Infante Acevedo

In this paper, we explore the use of a deep residual U-net with self-attention to solve the the continuous time time-consistent mean variance optimal trade execution problem for multiple agents and assets. Given a finite horizon we…

Trading and Market Microstructure · Quantitative Finance 2024-03-20 Andrew Na , Justin Wan

We study revenue maximization in settings where agents' values are interdependent: each agent receives a signal drawn from a correlated distribution and agents' values are functions of all of the signals. We introduce a variant of the…

Computer Science and Game Theory · Computer Science 2014-08-20 Shuchi Chawla , Hu Fu , Anna Karlin

Model-predictive-control (MPC) offers an optimal control technique to establish and ensure that the total operation cost of multi-energy systems remains at a minimum while fulfilling all system constraints. However, this method presumes an…

In this paper, we consider a hierarchical control problem with model uncertainty. Specifically, we consider the following objectives that we would like to accomplish. The first one being of a controllability-type that consists of…

Optimization and Control · Mathematics 2015-10-14 Getachew K. Befekadu , Eduardo L. Pasiliao

We consider the problem of optimally executing an order involving multiple crypto-assets, sometimes called tokens, on a network of multiple constant function market makers (CFMMs). When we ignore the fixed cost associated with executing an…

Optimization and Control · Mathematics 2022-04-12 Guillermo Angeris , Tarun Chitra , Alex Evans , Stephen Boyd

Market makers provide liquidity to other market participants: they propose prices at which they stand ready to buy and sell a wide variety of assets. They face a complex optimization problem with both static and dynamic components. They…

Trading and Market Microstructure · Quantitative Finance 2017-05-09 Olivier Guéant

This paper considers the investment coordination problem for the long term transmission capacity expansion in a situation where there are multiple regional Transmission Planners (TPs), each acting in order to maximize the utility in only…

Systems and Control · Electrical Eng. & Systems 2023-10-11 Sambuddha Chakrabarti , Hosna Khajeh , Thomas R Nudell , Mohammad Reza Hesamzadeh , Ross Baldick

We introduce a two-agent problem which is inspired by price asymmetry arising from funding difference. When two parties have different funding rates, the two parties deduce different fair prices for derivative contracts even under the same…

Mathematical Finance · Quantitative Finance 2020-01-01 Junbeom Lee , Stephan Sturm , Chao Zhou

Multi-agent market simulators usually require careful calibration to emulate real markets, which includes the number and the type of agents. Poorly calibrated simulators can lead to misleading conclusions, potentially causing severe loss…

Trading and Market Microstructure · Quantitative Finance 2022-10-19 Andrea Coletta , Aymeric Moulin , Svitlana Vyetrenko , Tucker Balch

We propose a theory that can determine the lowest isolation level that can be allocated to each transaction program in an application in a mixed-isolation-level setting, to guarantee that all executions will be serializable and thus…

Databases · Computer Science 2025-07-01 Brecht Vandevoort , Alan Fekete , Bas Ketsman , Frank Neven , Stijn Vansummeren

Model Predictive Control (MPC) formulations are typically built on the requirement that a feasible reference trajectory is available. In practical settings, however, references that are infeasible with respect to the system dynamics are…

Systems and Control · Electrical Eng. & Systems 2021-09-13 Ivo Batkovic , Mohammad Ali , Paolo Falcone , Mario Zanon

In a continuous-time model with multiple assets described by c\`{a}dl\`{a}g processes, this paper characterizes superhedging prices, absence of arbitrage, and utility maximizing strategies, under general frictions that make execution prices…

Pricing of Securities · Quantitative Finance 2015-06-22 Paolo Guasoni , Miklós Rásonyi

Although behavioral economics has demonstrated that there are many situations where rational choice is a poor empirical model, it has so far failed to provide quantitative models of economic problems such as price formation. We make a step…

Physics and Society · Physics 2008-12-02 Szabolcs Mike , J. Doyne Farmer
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