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The paper investigates quadratic hedging in a semimartingale market that does not necessarily contain a risk-free asset. An equivalence result for hedging with and without numeraire change is established. This permits direct computation of…

Optimization and Control · Mathematics 2025-07-08 Aleš Černý , Christoph Czichowsky , Jan Kallsen

The paper addresses the problem of meta order execution from a broker-dealer's point of view in Almgren-Chriss model under execution risk. A broker-dealer agency is authorized to execute an order of trading on some client's behalf. The…

Trading and Market Microstructure · Quantitative Finance 2025-03-05 Xue Cheng , Peng Guo , Tai-ho Wang

We study principal-agent problems in which a principal commits to an outcome-dependent payment scheme (a.k.a. contract) so as to induce an agent to take a costly, unobservable action. We relax the assumption that the principal perfectly…

Computer Science and Game Theory · Computer Science 2021-06-02 Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

In Electricity markets, illiquidity, transaction costs and market price characteristics prevent managers to replicate exactly contracts. A residual risk is always present and the hedging strategy depends on a risk criterion chosen. We…

Computational Finance · Quantitative Finance 2018-08-29 Xavier Warin

We introduce a strategic behavior in reinsurance bilateral transactions, where agents choose the risk preferences they will appear to have in the transaction. Within a wide class of risk measures, we identify agents' strategic choices to a…

Risk Management · Quantitative Finance 2020-03-19 Michail Anthropelos , Tim J. Boonen

We consider the hedging error of a derivative due to discrete trading in the presence of a drift in the dynamics of the underlying asset. We suppose that the trader wishes to find rebalancing times for the hedging portfolio which enable him…

Probability · Mathematics 2014-07-18 Jiatu Cai , Masaaki Fukasawa , Mathieu Rosenbaum , Peter Tankov

We extend the QLBS model by reformulating via considering a large trader whose transactions leave a permanent impact on the evolution of the exchange rate process and therefore affect the price of contingent claims on such processes.…

Mathematical Finance · Quantitative Finance 2023-11-14 Ahmet Umur Özsoy , Ömür Uğur

When prices reflect all available information, they oscillate around an equilibrium level. This oscillation is the result of the temporary market impact caused by waves of buyers and sellers. This price behavior can be approximated through…

Trading and Market Microstructure · Quantitative Finance 2020-03-25 Alexander Lipton , Marcos Lopez de Prado

We consider trading against a hedge fund or large trader that must liquidate a large position in a risky asset if the market price of the asset crosses a certain threshold. Liquidation occurs in a disorderly manner and negatively impacts…

Trading and Market Microstructure · Quantitative Finance 2016-10-07 Caroline Hillairet , Cody Hyndman , Ying Jiao , Renjie Wang

In recent years, the popularity of artificial intelligence has surged due to its widespread application in various fields. The financial sector has harnessed its advantages for multiple purposes, including the development of automated…

Trading and Market Microstructure · Quantitative Finance 2024-11-01 Vito Alessandro Monaco , Antonio Riva , Luca Sabbioni , Lorenzo Bisi , Edoardo Vittori , Marco Pinciroli , Michele Trapletti , Marcello Restelli

We present a novel model for capturing the behavior of an agent exhibiting sunk-cost bias in a stochastic environment. Agents exhibiting sunk-cost bias take into account the effort they have already spent on an endeavor when they evaluate…

Computer Science and Game Theory · Computer Science 2021-06-22 Jon Kleinberg , Sigal Oren , Manish Raghavan , Nadav Sklar

We propose a new risk sensitive reinforcement learning approach for the dynamic hedging of options. The approach focuses on the minimization of the tail risk of the final P&L of the seller of an option. Different from most existing…

Risk Management · Quantitative Finance 2024-11-15 Xianhua Peng , Xiang Zhou , Bo Xiao , Yi Wu

We study arbitrage opportunities, market viability and utility maximization in market models with an insider. Assuming that an economic agent possesses from the beginning an additional information in the form of a random variable G, which…

Risk Management · Quantitative Finance 2016-10-03 Ngoc Huy Chau , Wolfgang Runggaldier , Peter Tankov

This paper studies a robust portfolio optimization problem under the multi-factor volatility model introduced by Christoffersen et al. (2009). The optimal strategy is derived analytically under the worst-case scenario with or without…

Mathematical Finance · Quantitative Finance 2020-06-16 Ben-Zhang Yang , Xiaoping Lu , Guiyuan Ma , Song-Ping Zhu

Trading large volumes of a financial asset in order driven markets requires the use of algorithmic execution dividing the volume in many transactions in order to minimize costs due to market impact. A proper design of an optimal execution…

Trading and Market Microstructure · Quantitative Finance 2015-06-05 Enzo Busseti , Fabrizio Lillo

We study the problem of optimally hedging the price exposure of liquidity positions in constant-product automated market makers (AMMs) when the hedge is funded by collateralized borrowing. A liquidity provider (LP) who borrows tokens to…

Portfolio Management · Quantitative Finance 2026-03-23 Atsushi Hane

Optimal execution of a portfolio have been a challenging problem for institutional investors. Traders face the trade-off between average trading price and uncertainty, and traditional methods suffer from the curse of dimensionality. Here,…

Portfolio Management · Quantitative Finance 2023-06-16 Xiaoyue Li , John M. Mulvey

We formulate and solve an optimal trading problem with alpha signals, where transactions induce a nonlinear transient price impact described by a general propagator model, including power-law decay. Using a variational approach, we…

Mathematical Finance · Quantitative Finance 2025-03-07 Eduardo Abi Jaber , Alessandro Bondi , Nathan De Carvalho , Eyal Neuman , Sturmius Tuschmann

We consider a class of optimal liquidation problems where the agent's transactions create transient price impact driven by a Volterra-type propagator along with temporary price impact. We formulate these problems as maximization of a…

Trading and Market Microstructure · Quantitative Finance 2025-09-17 Eduardo Abi Jaber , Eyal Neuman

We model a nonlinear price curve quoted in a market as the utility indifference curve of a representative liquidity supplier. As the utility function we adopt a g-expectation. In contrast to the standard framework of financial engineering,…

Mathematical Finance · Quantitative Finance 2017-02-07 Masaaki Fukasawa , Mitja Stadje
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