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This paper presents how the most recent improvements made on covariance matrix estimation and model order selection can be applied to the portfolio optimisation problem. The particular case of the Maximum Variety Portfolio is treated but…

Applications · Statistics 2018-04-03 Emmanuelle Jay , Eugénie Terreaux , Jean-Philippe Ovarlez , Frédéric Pascal

Asset allocation is an investment strategy that aims to balance risk and reward by constantly redistributing the portfolio's assets according to certain goals, risk tolerance, and investment horizon. Unfortunately, there is no simple…

Portfolio Management · Quantitative Finance 2022-08-16 Ricard Durall

Entropy based ideas find wide-ranging applications in finance for calibrating models of portfolio risk as well as options pricing. The abstracted problem, extensively studied in the literature, corresponds to finding a probability measure…

Statistical Finance · Quantitative Finance 2014-11-04 Santanu Dey , Sandeep Juneja , Karthyek R. A. Murthy

Markowitz's celebrated mean--variance portfolio optimization theory assumes that the means and covariances of the underlying asset returns are known. In practice, they are unknown and have to be estimated from historical data. Plugging the…

Applications · Statistics 2011-08-05 Tze Leung Lai , Haipeng Xing , Zehao Chen

This paper explores the effectiveness of high-frequency options trading strategies enhanced by advanced portfolio optimization techniques, investigating their ability to consistently generate positive returns compared to traditional long or…

Trading and Market Microstructure · Quantitative Finance 2024-08-19 Sid Bhatia

Since Markowitz's mean-variance framework, optimizing a portfolio that maximizes the profit and minimizes the risk has been ubiquitous in the financial industry. Initially, profit and risk were measured by the first two moments of the…

Signal Processing · Electrical Eng. & Systems 2023-09-12 Xiwen Wang , Rui Zhou , Jiaxi Ying , Daniel P. Palomar

In this paper Portfolio Optimization techniques were used to determine the most favorable investment portfolio. In particular, stock indices of three companies, namely Microsoft Corporation, Christian Dior Fashion House and Shevron…

Portfolio Management · Quantitative Finance 2022-01-04 Aizhan Issagali , Damira Alshimbayeva , Aidana Zhalgas

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

In extreme value analysis, tail behavior of a heavy-tailed data distribution is modeled by a Pareto-type distribution in which the so-called extreme value index (EVI) controls the tail behavior. For heavy-tailed data obtained from multiple…

Methodology · Statistics 2026-01-08 Koki Momoki , Takuma Yoshida

We consider the problem of portfolio selection within the classical Markowitz mean-variance framework, reformulated as a constrained least-squares regression problem. We propose to add to the objective function a penalty proportional to the…

Portfolio Management · Quantitative Finance 2013-01-01 Joshua Brodie , Ingrid Daubechies , Christine De Mol , Domenico Giannone , Ignace Loris

Modern portfolio theory(MPT) addresses the problem of determining the optimum allocation of investment resources among a set of candidate assets. In the original mean-variance approach of Markowitz, volatility is taken as a proxy for risk,…

Statistical Mechanics · Physics 2009-11-07 Morrel H. Cohen , Vincent D. Natoli

This scientific paper propose a novel portfolio optimization model using an improved deep reinforcement learning algorithm. The objective function of the optimization model is the weighted sum of the expectation and value at risk(VaR) of…

Machine Learning · Computer Science 2022-08-30 Boyi Jin

The entropic value-at-risk (EVaR) is a new coherent risk measure, which is an upper bound for both the value-at-risk (VaR) and conditional value-at-risk (CVaR). As important properties, the EVaR is strongly monotone over its domain and…

Portfolio Management · Quantitative Finance 2020-04-17 Amir Ahmadi-Javid , Malihe Fallah-Tafti

Stock trading strategy plays a crucial role in investment companies. However, it is challenging to obtain optimal strategy in the complex and dynamic stock market. We explore the potential of deep reinforcement learning to optimize stock…

Machine Learning · Computer Science 2022-08-02 Xiao-Yang Liu , Zhuoran Xiong , Shan Zhong , Hongyang Yang , Anwar Walid

We consider the investor who doesn't trade shares of his portfolio. The investor only observes the current trades made in the market with his securities to estimate the current return, variance, and risks of his unchanged portfolio. We show…

General Economics · Economics 2025-07-30 Victor Olkhov

The masses of data now available have opened up the prospect of discovering weak signals using machine-learning algorithms, with a view to predictive or interpretation tasks. As this survey of recent results attempts to show, bringing…

Statistics Theory · Mathematics 2026-05-06 Stephan Clémençon , Anne Sabourin

Empirical studies indicate the presence of multi-scales in the volatility of underlying assets: a fast-scale on the order of days and a slow-scale on the order of months. In our previous works, we have studied the portfolio optimization…

Mathematical Finance · Quantitative Finance 2019-09-04 Jean-Pierre Fouque , Ruimeng Hu

We propose an alternative linearization to the classical Markowitz quadratic portfolio optimization model, based on maximum drawdown. This model, which minimizes maximum portfolio drawdown, is particularly appealing during times of…

Portfolio Management · Quantitative Finance 2024-01-08 Albert Dorador

In the world of modern financial theory, portfolio construction has traditionally operated under at least one of two central assumptions: the constraints are derived from a utility function and/or the multivariate probability distribution…

Risk Management · Quantitative Finance 2023-07-19 Donald Geman , Hélyette Geman , Nassim Nicholas Taleb

Given a finite collection of stochastic alternatives, we study the problem of sequentially allocating a fixed sampling budget to identify the optimal alternative with a high probability, where the optimal alternative is defined as the one…

Methodology · Statistics 2025-03-11 Dohyun Ahn , Taeho Kim