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This paper considers mean-variance optimization under uncertainty, specifically when one desires a sparsified set of optimal portfolio weights. From the standpoint of a Bayesian investor, our approach produces a small portfolio from many…

Statistical Finance · Quantitative Finance 2016-10-05 David Puelz , P. Richard Hahn , Carlos M. Carvalho

We present a quantum algorithm for portfolio optimization. We discuss the market data input, the processing of such data via quantum operations, and the output of financially relevant results. Given quantum access to the historical record…

Quantum Physics · Physics 2018-11-12 Patrick Rebentrost , Seth Lloyd

Analytical, free of time consuming Monte Carlo simulations, framework for credit portfolio systematic risk metrics calculations is presented. Techniques are described that allow calculation of portfolio-level systematic risk measures…

Risk Management · Quantitative Finance 2011-07-14 Mikhail Voropaev

We propose a novel risk matrix to characterize the optimal portfolio choice of an investor with tail concerns. The diagonal of the matrix contains the Value-at-Risk of each asset in the portfolio and the off-diagonal the pairwise…

Portfolio Management · Quantitative Finance 2021-12-23 Christis Katsouris

It is widely recognized that when classical optimal strategies are applied with parameters estimated from data, the resulting portfolio weights are remarkably volatile and unstable over time. The predominant explanation for this is the…

Statistics Theory · Mathematics 2009-06-15 Carl Lindberg

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

Sharpe Ratio (SR) is a critical parameter in characterizing financial time series as it jointly considers the reward and the volatility of any stock/portfolio through its variance. Deriving online algorithms for optimizing the SR is…

Portfolio Management · Quantitative Finance 2024-06-12 Sabrina Khurshid , Mohammed Shahid Abdulla , Gourab Ghatak

Embedding value investment in portfolio optimization models has always been a challenge. In this paper, we attempt to incorporate it by employing principal component analysis to filter out dominant financial ratios from each sector and…

Portfolio Management · Quantitative Finance 2023-01-23 Vrinda Dhingra , Amita Sharma , Shiv K. Gupta

In stochastic finance, one traditionally considers the return as a competitive measure of an asset, {\it i.e.}, the profit generated by that asset after some fixed time span $\Delta t$, say one week or one year. This measures how well (or…

Statistical Mechanics · Physics 2008-12-02 Ingve Simonsen , Mogens H. Jensen , Anders Johansen

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…

Portfolio Management · Quantitative Finance 2025-08-07 Biswarup Chakraborty

The total duration of drawdowns is shown to provide a moment-free, unbiased, efficient and robust estimator of Sharpe ratios both for Gaussian and heavy-tailed price returns. We then use this quantity to infer an analytic expression of the…

Statistical Finance · Quantitative Finance 2017-02-09 Damien Challet

Recognizing that asset markets generally exhibit shared informational characteristics, we develop a portfolio strategy based on transfer learning that leverages cross-market information to enhance the investment performance in the market of…

Portfolio Management · Quantitative Finance 2025-11-27 Kexin Wang , Xiaomeng Zhang , Xinyu Zhang

We study mean-risk optimal portfolio problems where risk is measured by Recovery Average Value at Risk, a prominent example in the class of recovery risk measures. We establish existence results in the situation where the joint distribution…

Portfolio Management · Quantitative Finance 2023-03-03 Cosimo Munari , Justin Plückebaum , Stefan Weber

In this paper, we consider a continuous-time mean-variance portfolio selection with regime-switching and random horizon. Unlike previous works, the dynamic of assets are described by non-Markovian regime-switching models in the sense that…

Mathematical Finance · Quantitative Finance 2022-05-16 Tian Chen , Ruyi Liu , Zhen Wu

Utility and risk are two often competing measurements on the investment success. We show that efficient trade-off between these two measurements for investment portfolios happens, in general, on a convex curve in the two dimensional space…

Portfolio Management · Quantitative Finance 2018-05-16 Stanislaus Maier-Paape , Qiji Jim Zhu

In portfolio optimization problems, the minimum expected investment risk is not always smaller than the expected minimal investment risk. That is, using a well-known approach from operations research, it is possible to derive a strategy…

Portfolio Management · Quantitative Finance 2016-12-15 Takashi Shinzato

We consider finite horizon Markov decision processes under performance measures that involve both the mean and the variance of the cumulative reward. We show that either randomized or history-based policies can improve performance. We prove…

Machine Learning · Computer Science 2011-05-02 Shie Mannor , John Tsitsiklis

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

We propose a universal end-to-end framework for portfolio optimization where asset distributions are directly obtained. The designed framework circumvents the traditional forecasting step and avoids the estimation of the covariance matrix,…

Portfolio Management · Quantitative Finance 2021-11-18 Chao Zhang , Zihao Zhang , Mihai Cucuringu , Stefan Zohren

Generating an investment strategy using advanced deep learning methods in stock markets has recently been a topic of interest. Most existing deep learning methods focus on proposing an optimal model or network architecture by maximizing…

Artificial Intelligence · Computer Science 2020-07-13 Jinho Lee , Raehyun Kim , Seok-Won Yi , Jaewoo Kang
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