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We consider a financial model with permanent price impact. Continuous time trading dynamics are derived as the limit of discrete rebalancing policies. We then study the problem of super-hedging a European option. Our main result is the…

Pricing of Securities · Quantitative Finance 2015-03-19 B. Bouchard , G. Loeper , Y. Zou

Market making is a fundamental trading problem in which an agent provides liquidity by continually offering to buy and sell a security. The problem is challenging due to inventory risk, the risk of accumulating an unfavourable position and…

Artificial Intelligence · Computer Science 2018-04-13 Thomas Spooner , John Fearnley , Rahul Savani , Andreas Koukorinis

Automated market makers (AMMs) are a new prototype of decentralised exchanges which are revolutionising market interactions. The majority of AMMs are constant product markets (CPMs) where exchange rates are set by a trading function. This…

Trading and Market Microstructure · Quantitative Finance 2025-06-19 Álvaro Cartea , Fayçal Drissi , Marcello Monga

The prevention of rapidly and steeply falling market prices is vital to avoid financial crisis. To this end, some stock exchanges implement a price limit or a circuit breaker, and there has been intensive investigation into which regulation…

Computational Finance · Quantitative Finance 2023-09-20 Takanobu Mizuta , Isao Yagi

We present a general derivation of the arbitrage-free pricing framework for multiple-currency collateralized products. We include the impact on option pricing of the policy adopted to fund in foreign currency, so that we are able to price…

Pricing of Securities · Quantitative Finance 2015-09-15 Nicola Moreni , Andrea Pallavicini

The foreign exchange market has taken an important role in the global financial market. While foreign exchange trading brings high-yield opportunities to investors, it also brings certain risks. Since the establishment of the foreign…

Statistical Finance · Quantitative Finance 2021-08-09 Mimansa Rana , Nanxiang Mao , Ming Ao , Xiaohui Wu , Poning Liang , Matloob Khushi

This paper studies existence and uniqueness of equilibrium prices in a model of the banking sector in which banks trade contingent convertible bonds with stock price triggers among each other. This type of financial product was proposed as…

General Economics · Economics 2020-11-13 Anne G. Balter , Nikolaus Schweizer , Juan C. Vera

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 introduce a problem in which a service vehicle seeks to guard a deadline (boundary) from dynamically arriving mobile targets. The environment is a rectangle and the deadline is one of its edges. Targets arrive continuously over time on…

Robotics · Computer Science 2016-11-17 Stephen L. Smith , Shaunak D. Bopardikar , Francesco Bullo

This article examines how emerging economies use countercyclical monetary policies to manage economic crises and fluctuations in dominant currencies, such as the US dollar and the euro. Global economic cycles are marked by phases of…

Computational Finance · Quantitative Finance 2024-10-31 Hugo Spring-Ragain

Reinforcement learning is explored as a candidate machine learning technique to enhance existing analytical solutions for optimal trade execution with elements from the market microstructure. Given a volume-to-trade, fixed time horizon and…

Trading and Market Microstructure · Quantitative Finance 2016-02-19 Dieter Hendricks , Diane Wilcox

We study a game where households convert paper assets, such as money, into consumption goods, to preempt inflation. The game features a unique equilibrium with high (low) inflation, if money supply is high (low). For intermediate levels of…

Theoretical Economics · Economics 2021-12-30 Wolfgang Kuhle

We define and study a lending game to model the interbank money market, in which lending banks strategically allocate their cash to borrowing banks. The interest rate offered by each borrowing bank is within the interest rate corridor set…

Computer Science and Game Theory · Computer Science 2026-02-18 Jinyun Tong , Bart de Keijzer , Haoxiang Wang , Carmine Ventre

We consider the bilateral trade problem, in which two agents trade a single indivisible item. It is known that the only dominant-strategy truthful mechanism is the fixed-price mechanism: given commonly known distributions of the buyer's…

Computer Science and Game Theory · Computer Science 2021-12-21 Zi Yang Kang , Francisco Pernice , Jan Vondrák

In this paper, we consider a generic interest rate market in the presence of roll-over risk, which generates spreads in spot/forward term rates. We do not require classical absence of arbitrage and rely instead on a minimal market viability…

Pricing of Securities · Quantitative Finance 2023-10-06 Claudio Fontana , Simone Pavarana , Wolfgang J. Runggaldier

An agent-based computational economical toy model for the emergence of money from the initial barter trading, inspired by Menger's postulate that money can spontaneously emerge in a commodity exchange economy, is extensively studied. The…

Statistical Finance · Quantitative Finance 2015-12-09 Paweł Oświęcimka , Stanisław Drożdż , Robert Gębarowski , Andrzej Z. Górski , Jarosław Kwapień

A counterparty credit limit (CCL) is a limit that is imposed by a financial institution to cap its maximum possible exposure to a specified counterparty. CCLs help institutions to mitigate counterparty credit risk via selective…

Trading and Market Microstructure · Quantitative Finance 2021-01-26 Martin D. Gould , Nikolaus Hautsch , Sam D. Howison , Mason A. Porter

Portfolio optimisation typically aims to provide an optimal allocation that minimises risk, at a given return target, by diversifying over different investments. However, the potential scope of such risk diversification can be limited if…

Portfolio Management · Quantitative Finance 2017-05-17 Nonthachote Chatsanga , Andrew J. Parkes

Bilateral trade models the task of intermediating between two strategic agents, a seller and a buyer, willing to trade a good for which they hold private valuations. We study this problem from the perspective of a broker, in a regret…

Computer Science and Game Theory · Computer Science 2025-09-29 Simone Di Gregorio , Paul Dütting , Federico Fusco , Chris Schwiegelshohn

In our model, private actors with interbank cash flows similar to, but nore general than (Carmona, Fouque, Sun, 2013) borrow from the outside economy at a certain interest rate, controlled by the central bank, and invest in risky assets.…

Risk Management · Quantitative Finance 2018-10-09 Aditya Maheshwari , Andrey Sarantsev
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