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Large language models (LLMs) are increasingly deployed in agentic frameworks, in which prompts trigger complex tool-based analysis in pursuit of a goal. While these frameworks have shown promise across multiple domains including in finance,…

Statistical Finance · Quantitative Finance 2025-07-14 Dimitrios Emmanoulopoulos , Ollie Olby , Justin Lyon , Namid R. Stillman

We study indifference pricing of exotic derivatives by using hedging strategies that take static positions in quoted derivatives but trade the underlying and cash dynamically over time. We use real quotes that come with bid-ask spreads and…

Pricing of Securities · Quantitative Finance 2020-08-05 Teemu Pennanen , Udomsak Rakwongwan

Abstract This paper proposes a novel approach to Bermudan swaption hedging by applying the deep hedging framework to address limitations of traditional arbitrage-free methods. Conventional methods assume ideal conditions, such as zero…

Computational Finance · Quantitative Finance 2024-11-18 Kenjiro Oya

We develop a stochastic volatility framework for modeling multiple currencies based on CBI-time-changed L\'evy processes. The proposed framework captures the typical risk characteristics of FX markets and is coherent with the symmetries of…

Pricing of Securities · Quantitative Finance 2024-06-11 Claudio Fontana , Alessandro Gnoatto , Guillaume Szulda

We introduce a new general framework for constructing the best trading strategy for a given historical indicator. We construct the unique trading strategy with the highest expected return. This optimal strategy may be implemented directly,…

Portfolio Management · Quantitative Finance 2011-08-04 Philip Z. Maymin , Zakhar G. Maymin

An arbitrage strategy allows a financial agent to make certain profit out of nothing, i.e., out of zero initial investment. This has to be disallowed on economic basis if the market is in equilibrium state, as opportunities for riskless…

General Finance · Quantitative Finance 2010-02-16 Constantinos Kardaras

A range of empirical puzzles in finance has been explained as a consequence of traders being averse to ambiguity. Ambiguity averse traders can behave in financial portfolio problems in ways that cannot be rationalized as maximizing…

Theoretical Economics · Economics 2022-08-24 Michael Greinecker , Christoph Kuzmics

We consider the multi-period portfolio optimization problem with a single asset that can be held long or short. Due to the presence of transaction costs, maximizing the immediate reward at each period may prove detrimental, as frequent…

Optimization and Control · Mathematics 2025-02-07 Chutian Ma , Paul Smith

This paper presents the implementation of an advanced artificial intelligence-based algorithmic trading system specifically designed for the EUR-USD pair within the high-frequency environment of the Forex market. The methodological approach…

Artificial Intelligence · Computer Science 2025-11-21 Juan C. King , Jose M. Amigo

Optimal B-robust estimate is constructed for multidimensional parameter in drift coefficient of diffusion type process with small noise. Optimal mean-variance robust (optimal V -robust) trading strategy is find to hedge in mean-variance…

Portfolio Management · Quantitative Finance 2008-12-10 N. Lazrieva , T. Toronjadze

An agent-based modelling methodology for the joint price evolution of two stocks is put forward. The method models future multidimensional price trajectories reflecting how a class of agents rebalance their portfolios in an operational way…

Mathematical Finance · Quantitative Finance 2025-03-25 Dario Crisci , Sebastian E. Ferrando , Konrad Gajewski

We consider an exchange who wishes to set suitable make-take fees to attract liquidity on its platform. Using a principal-agent approach, we are able to describe in quasi-explicit form the optimal contract to propose to a market maker. This…

Trading and Market Microstructure · Quantitative Finance 2019-11-27 Omar El Euch , Thibaut Mastrolia , Mathieu Rosenbaum , Nizar Touzi

We consider multi-item exchange markets in which agents want to receive one of their target bundles of resources. The model encompasses well-studied markets for kidney exchange, lung exchange, and multi-organ exchange. We identify a general…

Computer Science and Game Theory · Computer Science 2020-07-10 Haris Aziz

This paper studies the robust optimal gain selection problem for financial trading systems, formulated within a \emph{double linear policy} framework, which allocates capital across long and short positions. The key objective is to…

Systems and Control · Electrical Eng. & Systems 2025-01-20 Chung-Han Hsieh

This article examines arbitrage investment in a mispriced asset when the mispricing follows the Ornstein-Uhlenbeck process and a credit-constrained investor maximizes a generalization of the Kelly criterion. The optimal differentiable and…

Optimization and Control · Mathematics 2008-12-02 Vladislav Kargin

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

Financial market forecasting remains a formidable challenge despite the surge in computational capabilities and machine learning advancements. While numerous studies have underscored the precision of computer-generated market predictions,…

Computational Finance · Quantitative Finance 2023-11-16 Reza Yarbakhsh , Mahdieh Soleymani Baghshah , Hamidreza Karimaghaie

Retailers have significant potential to improve recommendations through strategic bundling and pricing. By taking into account different types of customers and their purchasing decisions, retailers can better accommodate customer…

Optimization and Control · Mathematics 2024-09-06 Maxime Bouscary , Mazen Danaf , Saurabh Amin

We develop a dynamic trading strategy in the Linear Quadratic Regulator (LQR) framework. By including a price mean-reversion signal into the optimization program, in a trading environment where market impact is linear and stage costs are…

Statistics Theory · Mathematics 2021-11-04 Simon Clinet , Jean-François Perreton , Serge Reydellet

We study the optimal portfolio liquidation problem over a finite horizon in a limit order book with bid-ask spread and temporary market price impact penalizing speedy execution trades. We use a continuous-time modeling framework, but in…

Probability · Mathematics 2014-01-10 Idris Kharroubi , Huyen Pham