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We study the problem of dynamically trading a futures contract and its underlying asset under a stochastic basis model. The basis evolution is modeled by a stopped scaled Brownian bridge to account for non-convergence of the basis at…

Portfolio Management · Quantitative Finance 2019-05-28 Bahman Angoshtari , Tim Leung

We study the problem of maximising terminal utility for an agent facing model uncertainty, in a frictionless discrete-time market with one safe asset and finitely many risky assets. We show that an optimal investment strategy exists if the…

Mathematical Finance · Quantitative Finance 2020-07-10 Miklós Rásonyi , Andrea Meireles-Rodrigues

This paper explores the utility of agent-based simulations in realistically modelling market structures and sheds light on the nuances of optimal dealer strategies. It underscores the contrast between conclusions drawn from probabilistic…

Trading and Market Microstructure · Quantitative Finance 2023-12-12 Wladimir Ostrovsky

Deep hedging (Buehler et al. 2019) is a versatile framework to compute the optimal hedging strategy of derivatives in incomplete markets. However, this optimal strategy is hard to train due to action dependence, that is, the appropriate…

Computational Finance · Quantitative Finance 2023-10-10 Shota Imaki , Kentaro Imajo , Katsuya Ito , Kentaro Minami , Kei Nakagawa

A class of heterogeneous agent models is investigated where investors switch trading position whenever their motivation to do so exceeds some critical threshold. These motivations can be psychological in nature or reflect behaviour…

Computational Physics · Physics 2009-11-13 R. Cross , M. Grinfeld , H. Lamba , T. Seaman

Options are contingent claims regarding the value of underlying assets. The Black-Scholes formula provides a road map for pricing these options in a risk-neutral setting, justified by a delta hedging argument in which countervailing…

Mathematical Finance · Quantitative Finance 2026-05-26 Erina Nanyonga , Matt Davison

In the classical principal-agent problem, a principal must design a contract to incentivize an agent to perform an action on behalf of the principal. We study the classical principal-agent problem in a setting where the agent can be of one…

Computer Science and Game Theory · Computer Science 2020-10-15 Guru Guruganesh , Jon Schneider , Joshua Wang

We study optimal contract design for large populations of heterogeneous agents whose actions generate network spillovers represented by an interaction function. In a linear-quadratic framework, we solve the finite-agent problem and its…

Theoretical Economics · Economics 2026-05-19 Guillermo Alonso Alvarez , Erhan Bayraktar , Ibrahim Ekren

We study optimal liquidation of a trading position (so-called block order or meta-order) in a market with a linear temporary price impact (Kyle, 1985). We endogenize the pressure to liquidate by introducing a downward drift in the…

Portfolio Management · Quantitative Finance 2018-05-25 Pavol Brunovský , Aleš Černý , Ján Komadel

We present a method for finding optimal hedging policies for arbitrary initial portfolios and market states. We develop a novel actor-critic algorithm for solving general risk-averse stochastic control problems and use it to learn hedging…

Computational Finance · Quantitative Finance 2022-07-18 Phillip Murray , Ben Wood , Hans Buehler , Magnus Wiese , Mikko S. Pakkanen

This study develops a multi-factor framework where not only market risk is considered but also potential changes in the investment opportunity set. Although previous studies find no clear evidence about a positive and significant relation…

Statistical Finance · Quantitative Finance 2014-10-23 John Cotter , Enrique Salvador

We model an informed agent with information about the future value of an asset trying to maximize profits when subjected to a transaction cost as well as a market maker tasked with setting fair transaction prices. In a single auction model,…

Trading and Market Microstructure · Quantitative Finance 2020-07-29 Weston Barger , Ryan Donnelly

We introduce a stochastic heterogeneous interacting-agent model for the short-time non-equilibrium evolution of excess demand and price in a stylized asset market. We consider a combination of social interaction within peer groups and…

General Finance · Quantitative Finance 2009-07-20 Gunter M. Schütz , Fernando Pigeard de Almeida Prado , Rosemary J. Harris , Vladimir Belitsky

The cryptocurrency market is volatile, non-stationary and non-continuous. Together with liquid derivatives markets, this poses a unique opportunity to study risk management, especially the hedging of options, in a turbulent market. We study…

Pricing of Securities · Quantitative Finance 2022-12-05 Jovanka Lili Matic , Natalie Packham , Wolfgang Karl Härdle

In this paper, we study the optimal investment problem considering the herd behaviour between two agents, including one leading expert and one following agent whose decisions are influenced by those of the leading expert. In the objective…

Systems and Control · Electrical Eng. & Systems 2024-07-16 Huisheng Wang , H. Vicky Zhao

We consider an insurance company whose surplus is represented by the classical Cramer-Lundberg process. The company can invest its surplus in a risk free asset and in a risky asset, governed by the Black-Scholes equation. There is a…

Portfolio Management · Quantitative Finance 2011-12-20 Tatiana Belkina , Christian Hipp , Shangzhen Luo , Michael Taksar

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

Prepayment risk embedded in fixed-rate mortgages forms a significant fraction of a financial institution's exposure, and it receives particular attention because of the magnitude of the underlying market. The embedded prepayment option…

Computational Finance · Quantitative Finance 2024-10-29 Leonardo Perotti , Lech A. Grzelak , Cornelis W. Oosterlee

This paper is concerned with the study of insurance related derivatives on financial markets that are based on non-tradable underlyings, but are correlated with tradable assets. We calculate exponential utility-based indifference prices,…

Pricing of Securities · Quantitative Finance 2010-04-14 Stefan Ankirchner , Peter Imkeller , Goncalo dos Reis

We introduce a new framework to model interactions among agents which seek to trade to minimize their risk with respect to some future outcome. We quantify this risk using the concept of risk measures from finance, and introduce a class of…

Computer Science and Game Theory · Computer Science 2014-10-13 Rafael M. Frongillo , Mark D. Reid