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The measure of portfolio risk is an important input of the Markowitz framework. In this study, we explored various methods to obtain a robust covariance estimators that are less susceptible to financial data noise. We evaluated the…

投资组合管理 · 定量金融 2024-06-04 Qiqin Zhou

Estimating and assessing the risk of a large portfolio is an important topic in financial econometrics and risk management. The risk is often estimated by a substitution of a good estimator of the volatility matrix. However, the accuracy of…

应用统计 · 统计学 2013-02-06 Jianqing Fan , Yuan Liao , Xiaofeng Shi

The emergence of robust optimization has been driven primarily by the necessity to address the demerits of the Markowitz model. There has been a noteworthy debate regarding consideration of robust approaches as superior or at par with the…

投资组合管理 · 定量金融 2019-08-15 Shashank Oberoi , Mohammed Bilal Girach , Siddhartha P. Chakrabarty

This paper investigates the large sample properties of the variance, weights, and risk of high-dimensional portfolios where the inverse of the covariance matrix of excess asset returns is estimated using a technique called nodewise…

统计理论 · 数学 2019-10-16 Laurent Callot , Mehmet Caner , Esra Ulasan , A. Özlem Önder

Markowitz' celebrated optimal portfolio theory generally fails to deliver out-of-sample diversification. In this note, we propose a new portfolio construction strategy based on symmetry arguments only, leading to "Eigenrisk Parity"…

Almost twenty years ago, E.R. Fernholz introduced portfolio generating functions which can be used to construct a variety of portfolios, solely in the terms of the individual companies' market weights. I. Karatzas and J. Ruf recently…

数理金融 · 定量金融 2023-03-06 Ioannis Karatzas , Donghan Kim

The investment economy is a main characteristic of prosperous society. The investment portfolio management is a main financial problem, which has to be solved by the investment, commercial and central banks with the application of modern…

综合金融 · 定量金融 2013-02-05 Dimitri O. Ledenyov , Viktor O. Ledenyov

We examine the problem of optimal portfolio allocation within the framework of utility theory. We apply exponential utility to derive the optimal diversification strategy and logarithmic utility to determine the optimal leverage. We enhance…

投资组合管理 · 定量金融 2025-10-01 Vladimir Markov

This paper is concerned with the uniqueness issue of open-loop equilibrium investment strategies of dynamic mean-variance portfolio selection problems with random coefficients. A unified method is developed to treat both the problems with…

最优化与控制 · 数学 2018-02-06 Tianxiao Wang

A quadratic discrete time probabilistic model, for optimal portfolio selection in (re-)insurance is studied. For positive values of underwriting levels, the expected value of the accumulated result is optimized, under constraints on its…

最优化与控制 · 数学 2007-05-23 Erik Taflin

Recent developments in deep learning techniques have motivated intensive research in machine learning-aided stock trading strategies. However, since the financial market has a highly non-stationary nature hindering the application of…

投资组合管理 · 定量金融 2020-12-15 Kentaro Imajo , Kentaro Minami , Katsuya Ito , Kei Nakagawa

We introduce a new approach for prudent risk evaluation based on stochastic dominance, which will be called the model aggregation (MA) approach. In contrast to the classic worst-case risk (WR) approach, the MA approach produces not only a…

风险管理 · 定量金融 2024-06-11 Tiantian Mao , Ruodu Wang , Qinyu Wu

This paper proposes a robust, shocks-adaptive portfolio in a large-dimensional assets universe where the number of assets could be comparable to or even larger than the sample size. It is well documented that portfolios based on…

投资组合管理 · 定量金融 2024-10-04 Qingliang Fan , Ruike Wu , Yanrong Yang

The field of portfolio selection is an active research topic, which combines elements and methodologies from various fields, such as optimization, decision analysis, risk management, data science, forecasting, etc. The modeling and…

投资组合管理 · 定量金融 2020-10-28 A. Georgantas

This paper studies a continuous-time market {under stochastic environment} where an agent, having specified an investment horizon and a target terminal mean return, seeks to minimize the variance of the return with multiple stocks and a…

投资组合管理 · 定量金融 2013-02-28 Wan-Kai Pang , Yuan-Hua Ni , Xun Li , Ka-Fai Cedric Yiu

Modern Portfolio Theory (MPT) prescribes how to maximise the return of an asset portfolio for a given level of risk. The optimal trade-off between return and variance defines the efficient frontier. Whether actual cryptoasset portfolios…

计算工程、金融与科学 · 计算机科学 2026-05-21 Ivan Vynyavskyy , Stefan Kitzler , Bernhard Haslhofer , Aviv Yaish

The question of pricing and hedging a given contingent claim has a unique solution in a complete market framework. When some incompleteness is introduced, the problem becomes however more difficult. Several approaches have been adopted in…

概率论 · 数学 2007-08-08 Pauline Barrieu , Nicole El Karoui

Despite decades of research in risk management, most of the literature has focused on scalar risk measures (like e.g. Value-at-Risk and Expected Shortfall). While such scalar measures provide compact and tractable summaries, they provide a…

风险管理 · 定量金融 2025-11-28 Michele Bonollo , Martino Grasselli , Gianmarco Mori , Havva Nilsu Oz

Portfolio optimization methods suffer from a catalogue of known problems, mainly due to the facts that pair correlations of asset returns are unstable, and that extremal risk measures such as maximum drawdown are difficult to predict due to…

投资组合管理 · 定量金融 2022-05-20 Jan Rosenzweig

In this paper, we investigate the features and the performance of the Risk Parity (RP) portfolios using the Mean Absolute Deviation (MAD) as a risk measure. The RP model is a recent strategy for asset allocation that aims at equally sharing…

投资组合管理 · 定量金融 2024-01-19 Çağın Ararat , Francesco Cesarone , Mustafa Çelebi Pınar , Jacopo Maria Ricci