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A constant rebalanced portfolio is an asset allocation algorithm which keeps the same distribution of wealth among a set of assets along a period of time. Recently, there has been work on on-line portfolio selection algorithms which are…

Portfolio Management · Quantitative Finance 2013-02-01 Yoram Singer

In this paper, we propose a novel investment strategy for portfolio optimization problems. The proposed strategy maximizes the expected portfolio value bounded within a targeted range, composed of a conservative lower target representing a…

Portfolio Management · Quantitative Finance 2019-07-11 Rongju Zhang , Nicolas Langrené , Yu Tian , Zili Zhu , Fima Klebaner , Kais Hamza

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

Regime-switching poses both problems and opportunities for portfolio managers. If a switch in the behaviour of the markets is not quickly detected it can be a source of loss, since previous trading positions may be inappropriate in the new…

Computational Engineering, Finance, and Science · Computer Science 2023-08-21 Piotr Pomorski , Denise Gorse

We study T. Cover's rebalancing option (Ordentlich and Cover 1998) under discrete hindsight optimization in continuous time. The payoff in question is equal to the final wealth that would have accrued to a $\$1$ deposit into the best of…

Portfolio Management · Quantitative Finance 2022-10-24 Alex Garivaltis

This work aims to deal with the optimal allocation instability problem of Markowitz's modern portfolio theory in high dimensionality. We propose a combined strategy that considers covariance matrix estimators from Random Matrix Theory~(RMT)…

Statistical Finance · Quantitative Finance 2025-03-10 Andrés García-Medina , Benito Rodriguéz-Camejo

Motivated by the current global high inflation scenario, we aim to discover a dynamic multi-period allocation strategy to optimally outperform a passive benchmark while adhering to a bounded leverage limit. To this end, we formulate an…

Portfolio Management · Quantitative Finance 2023-05-26 Chendi Ni , Yuying Li , Peter A. Forsyth

We give a complete description of the third-moment (skewness) characteristics of both linear and nonlinear momentum trading strategies, the latter being understood as transformations of a normalised moving-average filter (EMA). We explain…

General Finance · Quantitative Finance 2023-01-19 Richard J. Martin

We study continuous-time mean--variance portfolio selection in markets where stock prices are diffusion processes driven by observable factors that are also diffusion processes, yet the coefficients of these processes are unknown. Based on…

Portfolio Management · Quantitative Finance 2026-03-31 Yilie Huang , Yanwei Jia , Xun Yu Zhou

In finance, the price of a volatile asset can be modeled using fractional Brownian motion (fBm) with Hurst parameter $H>1/2.$ The Black-Scholes model for the values of returns of an asset using fBm is given as, [Y_t=Y_0…

Probability · Mathematics 2012-08-14 Mine Caglar , Ceren Vardar

Cross-market portfolio optimization has become increasingly complex with the globalization of financial markets and the growth of high-frequency, multi-dimensional datasets. Traditional artificial neural networks, while effective in certain…

Portfolio Management · Quantitative Finance 2025-10-21 Amarendra Mohan , Ameer Tamoor Khan , Shuai Li , Xinwei Cao , Zhibin Li

We consider an optimal investment and consumption problem for a Black-Scholes financial market with stochastic volatility and unknown stock appreciation rate. The volatility parameter is driven by an external economic factor modeled as a…

Portfolio Management · Quantitative Finance 2015-05-15 Belkacem Berdjane , Sergei Pergamenshchikov

The problem of portfolio allocation in the context of stocks evolving in random environments, that is with volatility and returns depending on random factors, has attracted a lot of attention. The problem of maximizing a power utility at a…

Mathematical Finance · Quantitative Finance 2022-11-29 Maxim Bichuch , Jean-Pierre Fouque

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…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Ming-Yang Kao , Andreas Nolte , Stephen R. Tate

Choosing a portfolio of risky assets over time that maximizes the expected return at the same time as it minimizes portfolio risk is a classical problem in Mathematical Finance and is referred to as the dynamic Markowitz problem (when the…

Mathematical Finance · Quantitative Finance 2020-01-20 Gabriela Kováčová , Birgit Rudloff

We propose a two-level, learning-based portfolio method (RL-BHRP) that spreads risk across sectors and stocks, and adjusts exposures as market conditions change. Using U.S. Equities from 2012 to mid-2025, we design the model using 2012 to…

Portfolio Management · Quantitative Finance 2025-08-19 Shaofeng Kang , Zeying Tian

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…

Portfolio Management · Quantitative Finance 2023-09-06 Kristoffer Andersson , Cornelis W. Oosterlee

This paper presents an optimal strategy for portfolio liquidation under discrete time conditions. We assume that N risky assets held will be liquidated according to the same time interval and order quantity, and the basic price processes of…

Trading and Market Microstructure · Quantitative Finance 2021-03-30 Qixuan Luo , Yu Shi , Handong Li

We study dynamic optimal portfolio allocation for monotone mean--variance preferences in a general semimartingale model. Armed with new results in this area we revisit the work of Cui, Li, Wang and Zhu (2012, MAFI) and fully characterize…

Mathematical Finance · Quantitative Finance 2020-06-23 Aleš Černý

This paper examines a continuous time intertemporal consumption and portfolio choice problem with a stochastic differential utility preference of Epstein-Zin type for a robust investor, who worries about model misspecification and seeks…

Optimization and Control · Mathematics 2021-03-09 Jiangyan Pu , Qi Zhang