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We consider a stochastic game between a trader and a central bank in a target zone market with a lower currency peg. This currency peg is maintained by the central bank through the generation of permanent price impact, thereby aggregating…

Mathematical Finance · Quantitative Finance 2021-02-18 Eyal Neuman , Alexander Schied

Consider the problem of a central bank that wants to manage the exchange rate between its domestic currency and a foreign one. The central bank can purchase and sell the foreign currency, and each intervention on the exchange market leads…

Optimization and Control · Mathematics 2017-12-07 Giorgio Ferrari , Tiziano Vargiolu

Dealers in foreign exchange markets provide bid and ask prices to their clients at which they are happy to buy and sell, respectively. To manage risk, dealers can skew their quotes and hedge in the interbank market. Hedging offers certainty…

Trading and Market Microstructure · Quantitative Finance 2026-01-21 Alexander Barzykin

We consider a two-sided singular stochastic control problem with a risk-sensitive ergodic criterion. In particular, we consider a stochastic system whose uncontrolled dynamics are modelled by a linear diffusion. The control that can be…

Optimization and Control · Mathematics 2025-09-15 Justin Gwee , Mihail Zervos

We study the performance of the euro/Swiss franc exchange rate in the extraordinary period from September 6, 2011 and January 15, 2015 when the Swiss National Bank enforced a minimum exchange rate of 1.20 Swiss francs per euro. Based on the…

Statistical Finance · Quantitative Finance 2016-01-20 Sandro Claudio Lera , Didier Sornette

This paper proposes a target zones exchange rate model with a terminal condition of entering a currency zone. It is assumed that the exchange rate is a function of the fundamental and time. Another essential assumptions of the model is that…

Economics · Quantitative Finance 2015-06-17 Viktors Ajevskis

This paper addresses the trade-off between internalisation and externalisation in the management of stochastic trade flows. We consider agents who must absorb flows and manage risk by deciding whether to warehouse it or hedge in the market,…

Trading and Market Microstructure · Quantitative Finance 2025-03-05 Philippe Bergault , Olivier Guéant , Hamza Bodor

This paper studies a systemic risk control problem by the central bank, which dynamically plans monetary supply to stabilize the interbank system with borrowing and lending activities. Facing both heterogeneity among banks and the common…

Optimization and Control · Mathematics 2022-05-18 Lijun Bo , Tongqing Li , Xiang Yu

In this paper, we study the optimal investment problem of an insurer whose surplus process follows the diffusion approximation of the classical Cramer-Lundberg model. Investment in the foreign market is allowed, and therefore, the foreign…

Portfolio Management · Quantitative Finance 2020-06-05 Qianqian Zhou , Junyi Guo

We develop an exchange rate target zone model with finite exit time and non-Gaussian tails. We show how the tails are a consequence of time-varying investor risk aversion, which generates mean-preserving spreads in the fundamental…

General Economics · Economics 2022-06-22 Jean-Louis Arcand , Max-Olivier Hongler , Shekhar Hari Kumar , Daniele Rinaldo

We extend in a minimal way the stylized model introduced in in "Tipping Points in Macroeconomic Agent Based Models" [JEDC 50, 29-61 (2015)], with the aim of investigating the role and efficacy of monetary policy of a `Central Bank' that…

Economics · Quantitative Finance 2020-04-20 Stanislao Gualdi , Marco Tarzia , Francesco Zamponi , Jean-Philippe Bouchaud

This paper considers the problem faced by a bank which trades in the funds market so as to maintain the reserve requirements and minimize the costs of doing that. We work in a stochastic paradigm and the reserve requirements are determined…

Optimization and Control · Mathematics 2021-11-05 Elena Cristina Canepa , Traian A Pirvu

In FX cash markets, market makers provide liquidity to clients for a wide variety of currency pairs. Because of flow uncertainty and market volatility, they face inventory risk. To mitigate this risk, they typically skew their prices to…

Trading and Market Microstructure · Quantitative Finance 2023-10-31 Alexander Barzykin , Philippe Bergault , Olivier Guéant

The model of this paper gives a convenient strategy that a bank in the federal funds market can use in order to maximize its profit in a contemporaneous reserve requirement (CRR) regime. The reserve requirements are determined by the demand…

Pricing of Securities · Quantitative Finance 2016-05-26 Traian A. Pirvu , Elena Cristina Canepa

We propose a simple model of inter-bank borrowing and lending where the evolution of the log-monetary reserves of $N$ banks is described by a system of diffusion processes coupled through their drifts in such a way that stability of the…

Pricing of Securities · Quantitative Finance 2013-08-12 Rene Carmona , Jean-Pierre Fouque , Li-Hsien Sun

Foreign exchange rates movements exhibit significant cross-correlations even on very short time-scales. The effect of these statistical relationships become evident during extreme market events, such as flash crashes.In this scenario, an…

Trading and Market Microstructure · Quantitative Finance 2020-09-09 Alberto Ciacci , Takumi Sueshige , Hideki Takayasu , Kim Christensen , Misako Takayasu

We analyze an operational policy for a multinational manufacturer to hedge against exchange rate uncertainties and competition. We consider a single product and single period. Because of long-lead times, the capacity investment must done…

Econometrics · Economics 2018-04-24 Murat Erkoc , Huaqing Wang , Anas Ahmed

We study overpricing in a repeated game between two representative agents: a market maker, who controls market liquidity, and a market taker, who chooses trade quantities. Market prices evolve through the endogenous price impact of trades…

Trading and Market Microstructure · Quantitative Finance 2026-05-12 Luigi Foscari , Emanuele Guidotti , Nicolò Cesa-Bianchi , Tatjana Chavdarova , Alfio Ferrara

We consider the problem faced by a central bank which bails out distressed financial institutions that pose systemic risk to the banking sector. In a structural default model with mutual obligations, the central agent seeks to inject a…

Optimization and Control · Mathematics 2022-10-20 Christa Cuchiero , Christoph Reisinger , Stefan Rigger

We argue that a negative interest rate policy (NIRP) can be an effect tool for macroeconomic stabilization. We first discuss how implementing negative rates on reserves held at a central bank does not pose any theoretical difficulty, with a…

General Economics · Economics 2018-08-27 Matheus R. Grasselli , Alexander Lipton
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