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Finding Bertram's optimal trading strategy for a pair of cointegrated assets following the Ornstein--Uhlenbeck price difference process can be formulated as an unconstrained convex optimization problem for maximization of expected profit…

Mathematical Finance · Quantitative Finance 2022-11-23 Vladimír Holý , Michal Černý

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

A continuous-time Markowitz's mean-variance portfolio selection problem is studied in a market with one stock, one bond, and proportional transaction costs. This is a singular stochastic control problem,inherently in a finite time horizon.…

Portfolio Management · Quantitative Finance 2022-01-07 Min Dai , Zuo Quan Xu , Xun Yu Zhou

We propose a game-theoretic framework to study the outcomes of packetized payments, a cross-ledger transaction protocol, with strategic and possibly malicious agents. We derive the transaction failure rate and demonstrate that without…

Computer Science and Game Theory · Computer Science 2021-12-14 Alevtina Dubovitskaya , Damien Ackerer , Jiahua Xu

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

This paper explores the gain maximization problem of two nations engaging in non-cooperative bilateral trade. Probabilistic model of an exchange of commodities under different price systems is considered. Volume of commodities exchanged…

Theoretical Economics · Economics 2020-01-09 Tsotne Kutalia , Revaz Tevzadze

This study investigates the functioning of modern payment systems through the lens of banks' maturity mismatch practices, and it examines the effects of banks' refusal to roll over short-term interbank liabilities on financial stability.…

General Economics · Economics 2023-06-12 Jessica Reale

This paper investigates a two-echelon inventory system with a central warehouse and N (N > 2) retailers managed by a centralized information-sharing mechanism. In particular, the paper mathematically models an easy-to-implement inventory…

General Economics · Economics 2023-12-08 Amir Hosein Afshar Sedigh , Rasoul Haji , Seyed Mehdi Sajadifar

This paper takes the development of Central bank digital currencies as a perspective, introduces it into the Baumol-Tobin money demand theoretical framework, establishes the transactional money demand model under Central bank Digital…

General Economics · Economics 2024-01-15 Ruimin Song , Tiantian Zhao , Chunhui Zhou

In this paper, we construct the utility-based optimal hedging strategy for a European-type option in the Almgren-Chriss model with temporary price impact. The main mathematical challenge of this work stems from the degeneracy of the second…

Pricing of Securities · Quantitative Finance 2020-06-18 Ibrahim Ekren , Sergey Nadtochiy

This work studies the valuation of currency options in markets suffering from a financial crisis. We consider a European option where the underlying asset is a foreign currency. We assume that the value of the underlying asset is a…

Pricing of Securities · Quantitative Finance 2018-01-26 Abdulnasser Hatemi-J , Youssef El-Khatib

We consider the problem of governing systemic risk in an assets-liabilities dynamical model of banking system. In the model considered each bank is represented by its assets and its liabilities.The capital reserves of a bank are the…

Risk Management · Quantitative Finance 2019-05-30 Lorella Fatone , Francesca Mariani

Partially convertible economies face a market-design problem: trade integration, cross-border investment, and domestic balance-sheet exposure increase the demand for currency hedging before full financial integration is complete. China…

Mathematical Finance · Quantitative Finance 2026-05-26 Samuel Drapeau , Peng Luo , Xuan Tao , Tan Wang

We develop the optimal trading strategy for a foreign exchange (FX) broker who must liquidate a large position in an illiquid currency pair. To maximize revenues, the broker considers trading in a currency triplet which consists of the…

Trading and Market Microstructure · Quantitative Finance 2020-04-28 Álvaro Cartea , Sebastian Jaimungal , Tianyi Jia

Motivated by the industry practice of pairs trading, we study the optimal timing strategies for trading a mean-reverting price spread. An optimal double stopping problem is formulated to analyze the timing to start and subsequently…

Trading and Market Microstructure · Quantitative Finance 2015-05-15 Tim Leung , Xin Li

An Entropic Dynamics of exchange rates is laid down to model the dynamics of foreign exchange rates, FX, and European Options on FX. The main objective is to represent an alternative framework to model dynamics. Entropic inference is an…

Pricing of Securities · Quantitative Finance 2019-08-28 Mohammad Abedi , Daniel Bartolomeo

Reinforcement learning has been explored for many problems, from video games with deterministic environments to portfolio and operations management in which scenarios are stochastic; however, there have been few attempts to test these…

General Finance · Quantitative Finance 2024-02-19 Sherly Alfonso-Sánchez , Jesús Solano , Alejandro Correa-Bahnsen , Kristina P. Sendova , Cristián Bravo

Optimal execution is an important problem faced by any trader. Most solutions are based on the assumption of constant market impact, while liquidity is known to be dynamic. Moreover, models with time-varying liquidity typically assume that…

Trading and Market Microstructure · Quantitative Finance 2024-02-21 Andrea Macrì , Fabrizio Lillo

We study the ex-ante minimization of market inefficiency, defined in terms of minimum deviation of market prices from fundamental values, from a centralized planner's perspective. Prices are pressured from exogenous trading actions of…

Risk Management · Quantitative Finance 2021-05-13 Kerstin Awiszus , Agostino Capponi , Stefan Weber

This paper assesses the link between central bank's policy rate, inflation rate and output gap through Taylor rule equation in both United States and United Kingdom from 1990 to 2020. Also, it analyses the relationship between monetary…

General Economics · Economics 2023-05-24 Kian Tehranian
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