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In this paper, we propose an equilibrium pricing model in a dynamic multi-period stochastic framework with uncertain income streams. In an incomplete market, there exist two traded risky assets (e.g. stock/commodity and weather derivative)…

Optimization and Control · Mathematics 2012-05-29 Traian A. Pirvu , Huayue Zhang

We consider the problem of optimal bidding for virtual trading in two-settlement electricity markets. A virtual trader aims to arbitrage on the differences between day-ahead and real-time market prices; both prices, however, are random and…

Computer Science and Game Theory · Computer Science 2018-08-02 Sevi Baltaoglu , Lang Tong , Qing Zhao

This work's purpose is to understand the dynamics of limit order books in order-driven markets. We try to illustrate a dynamical trading mechanism attached to the microstructure of limit order markets. We capture the iterative nature of…

Trading and Market Microstructure · Quantitative Finance 2014-01-13 Shilei Wang

Duality of linear programming is a standard approach to the classical weighted maximum matching problem. From an economic perspective, the dual variables can be regarded as prices of products and payoffs of buyers in a two-sided matching…

Data Structures and Algorithms · Computer Science 2019-12-03 Xiaoming Li , Tao Lin

Generating paired sequences with maximal compatibility from a given set is one of the most important challenges in various applications, including information and communication technologies. However, the number of possible pairings explodes…

Data Structures and Algorithms · Computer Science 2022-05-10 Naoki Fujita , Nicolas Chauvet , Andre Roehm , Ryoichi Horisaki , Aohan Li , Mikio Hasegawa , Makoto Naruse

We consider a basic model of multi-period trading, which can be used to evaluate the performance of a trading strategy. We describe a framework for single-period optimization, where the trades in each period are found by solving a convex…

Portfolio Management · Quantitative Finance 2017-05-02 Stephen Boyd , Enzo Busseti , Steven Diamond , Ronald N. Kahn , Kwangmoo Koh , Peter Nystrup , Jan Speth

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

Investors try to predict returns of financial assets to make successful investment. Many quantitative analysts have used machine learning-based methods to find unknown profitable market rules from large amounts of market data. However,…

Trading and Market Microstructure · Quantitative Finance 2020-12-21 Katsuya Ito , Kentaro Minami , Kentaro Imajo , Kei Nakagawa

We present a series of equations that track the total realized and unrealized profits and losses at any time, incorporating the spread. The resulting formalism is ideally suited to evaluate the performance of trading model algorithms.

Trading and Market Microstructure · Quantitative Finance 2024-11-22 James B. Glattfelder , Thomas Houweling

Financial markets are a classical example of complex systems as they comprise many interacting stocks. As such, we can obtain a surprisingly good description of their structure by making the rough simplification of binary daily returns.…

Statistical Finance · Quantitative Finance 2014-01-28 Thomas Bury

Currency carry trade is the investment strategy that involves selling low interest rate currencies in order to purchase higher interest rate currencies, thus profiting from the interest rate differentials. This is a well known financial…

Portfolio Management · Quantitative Finance 2014-06-18 Matthew Ames , Gareth W. Peters , Guillaume Bagnarosa , Ioannis Kosmidis

We present a mathematical model of a market with $m$ shares traded across $n$ investor groups, each one with similar motivations and trading strategies. The market of each asset consists of a fixed amount of cash and shares (no additions…

Dynamical Systems · Mathematics 2026-04-17 Mario Cavani

In this paper we propose a mathematical framework to address the uncertainty emergingwhen the designer of a trading algorithm uses a threshold on a signal as a control. We rely ona theorem by Benveniste and Priouret to deduce our Inventory…

Trading and Market Microstructure · Quantitative Finance 2018-11-12 Hadrien De March , Charles-Albert Lehalle

We study risk-sharing economies where heterogenous agents trade subject to quadratic transaction costs. The corresponding equilibrium asset prices and trading strategies are characterised by a system of nonlinear, fully-coupled…

Portfolio Management · Quantitative Finance 2020-10-01 Martin Herdegen , Johannes Muhle-Karbe , Dylan Possamaï

Matching algorithms have demonstrated great success in several practical applications, but they often require centralized coordination and plentiful information. In many modern online marketplaces, agents must independently seek out and…

Computer Science and Game Theory · Computer Science 2025-01-14 Vade Shah , Bryce L. Ferguson , Jason R. Marden

Optimal trading is a recent field of research which was initiated by Almgren, Chriss, Bertsimas and Lo in the late 90's. Its main application is slicing large trading orders, in the interest of minimizing trading costs and potential…

Trading and Market Microstructure · Quantitative Finance 2018-06-05 Charles-Albert Lehalle , Eyal Neuman

Uncoupled regression is the problem to learn a model from unlabeled data and the set of target values while the correspondence between them is unknown. Such a situation arises in predicting anonymized targets that involve sensitive…

Machine Learning · Computer Science 2019-06-04 Liyuan Xu , Junya Honda , Gang Niu , Masashi Sugiyama

We use formal methods to specify, design, and monitor continuous double auctions, which are widely used to match buyers and sellers at exchanges of foreign currencies, stocks, and commodities. We identify three natural properties of such…

Logic in Computer Science · Computer Science 2022-10-12 Mohit Garg , Suneel Sarswat

Statistical matching is an effective method for estimating causal effects in which treated units are paired with control units with ``similar'' values of confounding covariates prior to performing estimation. In this way, matching helps…

Methodology · Statistics 2023-09-13 Sanjeewani Weerasingha , Michael J. Higgins

We provide a natural learning process in which a financial trader without a risk receives a gain in case when Stock Market is inefficient. In this process, the trader rationally choose his gambles using a prediction made by a randomized…

Machine Learning · Computer Science 2011-05-24 Vladimir Trunov , Vladimir V'yugin
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