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Optimal execution of portfolio transactions is the essential part of algorithmic trading. In this paper we present in simple analytical form the optimal trajectory for risk-averse trader with the assumption of exponential market recovery…

交易与市场微观结构 · 定量金融 2013-09-27 Igor Skachkov

This paper develops a flexible and computationally efficient multivariate volatility model, which allows for dynamic conditional correlations and volatility spillover effects among financial assets. The new model has desirable properties…

统计方法学 · 统计学 2025-07-25 Wenyu Li , Yuchang Lin , Qianqian Zhu , Guodong Li

This study first reviews fuzzy random Portfolio selection theory and describes the concept of portfolio optimization model as a useful instrument for helping finance practitioners and researchers. Second, this paper specifically aims at…

最优化与控制 · 数学 2014-02-18 Mir Ehsan Hesam Sadati , Ali Doniavi

Portfolio optimization has long been dominated by covariance-based strategies, such as the Markowitz Mean-Variance framework. However, these approaches often fail to ensure a balanced risk structure across assets, leading to concentration…

投资组合管理 · 定量金融 2025-08-07 Biswarup Chakraborty

In today's complex and volatile financial market environment, risk management of multi-asset portfolios faces significant challenges. Traditional risk assessment methods, due to their limited ability to capture complex correlations between…

风险管理 · 定量金融 2025-02-14 Fu Lei , Ge Shi

An investment portfolio consists of $n$ algorithmic trading strategies, which generate vectors of positions in trading assets. Sign opposite trades (buy/sell) cross each other as strategies are combined in a portfolio. Then portfolio…

投资组合管理 · 定量金融 2024-12-05 A. V. Kuliga , I. N. Shnurnikov

We study a utility maximization problem in a financial market with a stochastic drift process, combining a worst-case approach with filtering techniques. Drift processes are difficult to estimate from asset prices, and at the same time…

投资组合管理 · 定量金融 2021-11-04 Jörn Sass , Dorothee Westphal

In this paper, we revisit the portfolio optimization problems of the minimization/maximization of investment risk under constraints of budget and investment concentration (primal problem) and the maximization/minimization of investment…

投资组合管理 · 定量金融 2018-01-17 Daichi Tada , Hisashi Yamamoto , Takashi Shinzato

We use an optimization procedure based on simulated bifurcation (SB) to solve the integer portfolio and trading trajectory problem with an unprecedented computational speed. The underlying algorithm is based on a classical description of…

计算金融 · 定量金融 2020-09-18 Kyle Steinhauer , Takahisa Fukadai , Sho Yoshida

We consider the problem of maximizing portfolio value when an agent has a subjective view on asset value which differs from the traded market price. The agent's trades will have a price impact which affect the price at which the asset is…

数理金融 · 定量金融 2020-10-13 Ryan Donnelly , Matthew Lorig

In this paper, we consider the portfolio optimization problem in a financial market where the underlying stochastic volatility model is driven by n-dimensional Brownian motions. At first, we derive a Hamilton-Jacobi-Bellman equation…

数理金融 · 定量金融 2024-12-20 Minglian Lin , Indranil SenGupta

We consider a new approach to portfolio selection in presence of transaction costs which allows to map the problem into one without costs. The proposed approach connects all the quantities of interest to exit times and probabilities to…

无序系统与神经网络 · 物理学 2008-12-10 R. Baviera

The aim of this short note is to establish a limit theorem for the optimal trading strategies in the setup of the utility maximization problem with proportional transaction costs. This limit theorem resolves the open question from [4]. The…

数理金融 · 定量金融 2021-09-28 Erhan Bayraktar , Christoph Czichowsky , Leonid Dolinskyi , Yan Dolinsky

We analyze a continuous-time optimal trade execution problem in multiple assets where the price impact and the resilience can be matrix-valued stochastic processes that incorporate cross-impact effects. In addition, we allow for stochastic…

最优化与控制 · 数学 2026-03-26 Julia Ackermann , Thomas Kruse , Mikhail Urusov

In these notes we discuss investment allocation to multiple alpha streams traded on the same execution platform, including when trades are crossed internally resulting in turnover reduction. We discuss approaches to alpha weight…

投资组合管理 · 定量金融 2015-06-26 Zura Kakushadze

We consider a multi-stock continuous time incomplete market model with random coefficients. We study the investment problem in the class of strategies which do not use direct observations of the appreciation rates of the stocks, but rather…

数理金融 · 定量金融 2015-02-10 Nikolai Dokuchaev

We consider a utility-maximization problem in a general semimartingale financial model, subject to constraints on the number of shares held in each risky asset. These constraints are modeled by predictable convex-set-valued processes whose…

投资组合管理 · 定量金融 2013-02-25 Kasper Larsen , Gordan Žitković

Technical indicators use graphic representations of data sets by applying various mathematical formulas to financial time series of prices. These formulas comprise a set of rules and parameters whose values are not necessarily known and…

神经与进化计算 · 计算机科学 2022-11-07 Francisco J. Soltero , Pablo Fernández-Blanco , J. Ignacio Hidalgo

In this paper, we study asset selection methods to construct a sparse index tracking portfolio. For its advantage over full replication portfolio, the concept of sparse index tracking portfolio has significant attention in the field of…

计算工程、金融与科学 · 计算机科学 2024-05-10 Yutaka Sakurai , Daiki Wakabayashi , Fumio Ishizaki

We adopt deep learning models to directly optimise the portfolio Sharpe ratio. The framework we present circumvents the requirements for forecasting expected returns and allows us to directly optimise portfolio weights by updating model…

投资组合管理 · 定量金融 2021-01-26 Zihao Zhang , Stefan Zohren , Stephen Roberts
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