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We revisit optimal execution of an active portfolio in the presence of slippage (aka linear, proportional, or absolute-value) costs. Market efficiency implies a close balance between active alphas and trading costs, so even small changes to…

投资组合管理 · 定量金融 2021-10-29 Michael Isichenko

This work initiates research into the problem of determining an optimal investment strategy for investors with different attitudes towards the trade-offs of risk and profit. The probability distribution of the return values of the stocks…

计算工程、金融与科学 · 计算机科学 2007-05-23 Ming-Yang Kao , Andreas Nolte , Stephen R. Tate

The principal portfolio approach is an emerging method in signal-based trading. However, these principal portfolios may not be diversified to explore the key features of the prediction matrix or robust to different situations. To address…

机器学习 · 计算机科学 2025-08-27 Zhao-Rong Lai , Haisheng Yang

We consider portfolio optimization in futures markets. We model the entire futures price curve at once as a solution of a stochastic partial differential equation. The agents objective is to maximize her utility from the final wealth when…

投资组合管理 · 定量金融 2012-04-13 Fred Espen Benth , Jukka Lempa

In this paper, optimal consumption and investment decisions are studied for an investor who can invest in a fixed interest rate bank account and a stock whose price is a log normal diffusion. We present the method of the HJB equation in…

投资组合管理 · 定量金融 2014-09-16 Jiacheng Feng

Portfolio management problems are often divided into two types: active and passive, where the objective is to outperform and track a preselected benchmark, respectively. Here, we formulate and solve a dynamic asset allocation problem that…

投资组合管理 · 定量金融 2018-07-31 Ali Al-Aradi , Sebastian Jaimungal

We propose a pairs trading model that incorporates a time-varying volatility of the Constant Elasticity of Variance type. Our approach is based on stochastic control techniques; given a fixed time horizon and a portfolio of two…

最优化与控制 · 数学 2021-11-05 T. N. Li , A. Tourin

The geometric approach to financial markets with proportional transaction cost prescribes to imbed a specific model (of stock market, of currency market etc.), usually given in a parametric form, into a natural framework defined by the two…

数理金融 · 定量金融 2026-05-13 Yuri Kabanov , Artur Sidorenko

We study the Merton portfolio management problem within a complete market, non constant time discount rate and general utility framework. The non constant discount rate introduces time inconsistency which can be solved by introducing sub…

投资组合管理 · 定量金融 2026-02-23 Oumar Mbodji

We develop a dual-control method for approximating investment strategies in incomplete environments that emerge from the presence of trading constraints. Convex duality enables the approximate technology to generate lower and upper bounds…

数理金融 · 定量金融 2019-10-29 Thijs Kamma , Antoon Pelsser

This paper examines an optimal investment problem in a continuous-time (essentially) complete financial market with a finite horizon. We deal with an investor who behaves consistently with principles of Cumulative Prospect Theory, and whose…

投资组合管理 · 定量金融 2014-03-18 Miklós Rásonyi , Andrea Meireles Rodrigues

This paper studies a continuous-time optimal portfolio selection problem in the complete market for a behavioral investor whose preference is of the prospect type with probability distortion. The investor concerns about the terminal…

投资组合管理 · 定量金融 2022-11-11 Jing Peng , Pengyu Wei , Zuo Quan Xu

We consider an optimal stochastic target problem for branching diffusion processes. This problem consists in finding the minimal condition for which a control allows the underlying branching process to reach a target set at a finite…

偏微分方程分析 · 数学 2022-06-28 Idris Kharroubi , Antonio Ocello

We determine the optimal robust investment strategy of an individual who targets at a given rate of consumption and seeks to minimize the probability of lifetime ruin when she does not have perfect confidence in the drift of the risky…

最优化与控制 · 数学 2014-11-04 Erhan Bayraktar , Yuchong Zhang

This paper considers a class of stochastic control problems with implicitly defined objective functions, which are the sources of time-inconsistency. We study the closed-loop equilibrium solutions in a general controlled diffusion…

最优化与控制 · 数学 2023-12-29 Zongxia Liang , Jianming Xia , Keyu Zhang

We study the problem of active portfolio management where an investor aims to outperform a benchmark strategy's risk profile while not deviating too far from it. Specifically, an investor considers alternative strategies whose terminal…

数理金融 · 定量金融 2022-06-22 Silvana Pesenti , Sebastian Jaimungal

This paper studies an optimal investing problem for a retiree facing longevity risk and living standard risk. We formulate the investing problem as a portfolio choice problem under a time-varying risk capacity constraint. We derive the…

投资组合管理 · 定量金融 2022-02-16 Weidong Tian , Zimu Zhu

We consider a dynamic portfolio optimization problem that incorporates predictable returns, instantaneous transaction costs, price impact, and stochastic volatility, extending the classical results of Garleanu and Pedersen (2013), which…

计算金融 · 定量金融 2025-07-24 Patrick Chan , Ronnie Sircar , Iosif Zimbidis

In this paper, we propose a machine learning algorithm for time-inconsistent portfolio optimization. The proposed algorithm builds upon neural network based trading schemes, in which the asset allocation at each time point is determined by…

投资组合管理 · 定量金融 2023-09-06 Kristoffer Andersson , Cornelis W. Oosterlee

A fractal approach to the long-short portfolio optimization is proposed. The algorithmic system based on the composition of market-neutral spreads into a single entity was considered. The core of the optimization scheme is a fractal walk…

投资组合管理 · 定量金融 2016-12-20 Sergey Kamenshchikov , Ilia Drozdov