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In this paper we estimate the mean-variance portfolio in the high-dimensional case using the recent results from the theory of random matrices. We construct a linear shrinkage estimator which is distribution-free and is optimal in the sense…

统计金融 · 定量金融 2023-04-19 Taras Bodnar , Yarema Okhrin , Nestor Parolya

This article develops a model that takes into account skewness risk in risk parity portfolios. In this framework, asset returns are viewed as stochastic processes with jumps or random variables generated by a Gaussian mixture distribution.…

投资组合管理 · 定量金融 2022-02-23 Benjamin Bruder , Nazar Kostyuchyk , Thierry Roncalli

Designing dynamic portfolio insurance strategies under market conditions switching between two or more regimes is a challenging task in financial economics. Recently, a promising approach employing the value-at-risk (VaR) measure to assign…

计算金融 · 定量金融 2023-05-23 Peyman Alipour , Ali Foroush Bastani

Accurate forecasting of volatility and return quantiles is essential for evaluating financial tail risks such as value-at-risk and expected shortfall. This study proposes an extension of the traditional stochastic volatility model, termed…

计量经济学 · 经济学 2026-02-02 Makoto Takahashi , Yuta Yamauchi , Toshiaki Watanabe , Yasuhiro Omori

We discuss the use of saddlepoint methods in the analysis of portfolios, with particular reference to credit portfolios. The objective is to proceed from a model of the loss distribution, given through probabilities, correlations and the…

投资组合管理 · 定量金融 2012-01-04 Richard J Martin

This paper studies a mean-risk portfolio choice problem for log-returns in a continuous-time, complete market. This is a growth-optimal problem with risk control. The risk of log-returns is measured by weighted Value-at-Risk (WVaR), which…

风险管理 · 定量金融 2021-12-30 Pengyu Wei , Zuo Quan Xu

We derive new results related to the portfolio choice problem for power and logarithmic utilities. Assuming that the portfolio returns follow an approximate log-normal distribution, the closed-form expressions of the optimal portfolio…

投资组合管理 · 定量金融 2023-04-19 Taras Bodnar , Dmytro Ivasiuk , Nestor Parolya , Wofgang Schmid

In this paper, we propose the multivariate range Value-at-Risk (MRVaR) and the multivariate range covariance (MRCov) as two risk measures and explore their desirable properties in risk management. In particular, we explain that such…

统计理论 · 数学 2023-05-17 Baishuai Zuo , Chuancun Yin , Jing Yao

We study the sensitivity to estimation error of portfolios optimized under various risk measures, including variance, absolute deviation, expected shortfall and maximal loss. We introduce a measure of portfolio sensitivity and test the…

物理与社会 · 物理学 2008-12-02 Imre Kondor , Szilard Pafka , Gabor Nagy

We study the consistency of sample mean-variance portfolios of arbitrarily high dimension that are based on Bayesian or shrinkage estimation of the input parameters as well as weighted sampling. In an asymptotic setting where the number of…

投资组合管理 · 定量金融 2015-05-30 Francisco Rubio , Xavier Mestre , Daniel P. Palomar

In this paper, we propose a general bi-objective model for portfolio selection, aiming to maximize both a diversification measure and the portfolio expected return. Within this general framework, we focus on maximizing a diversification…

投资组合管理 · 定量金融 2023-12-18 Francesco Cesarone , Rosella Giacometti , Manuel Luis Martino , Fabio Tardella

In economics, insurance and finance, value at risk (VaR) is a widely used measure of the risk of loss on a specific portfolio of financial assets. For a given portfolio, time horizon, and probability $\alpha$, the $100\alpha\%$ VaR is…

风险管理 · 定量金融 2018-03-15 Raúl Torres , Rosa E. Lillo , Henry Laniado

The problem of finding the optimal portfolio for investors is called the portfolio optimization problem. Such problem mainly concerns the expectation and variability of return (i.e., mean and variance). Although the variance would be the…

投资组合管理 · 定量金融 2020-07-21 Kei Nakagawa , Shuhei Noma , Masaya Abe

This paper aims to more effectively manage and mitigate stock market risks by accurately characterizing financial market returns and volatility. We enhance the Stochastic Volatility (SV) model by incorporating fat-tailed distributions and…

应用统计 · 统计学 2024-12-31 Minheng Xiao

Several well-established benchmark predictors exist for Value-at-Risk (VaR), a major instrument for financial risk management. Hybrid methods combining AR-GARCH filtering with skewed-$t$ residuals and the extreme value theory-based approach…

风险管理 · 定量金融 2021-11-25 Shige Peng , Shuzhen Yang , Jianfeng Yao

This paper explores the implications of producing forecast distributions that are optimized according to scoring rules that are relevant to financial risk management. We assess the predictive performance of optimal forecasts from…

统计金融 · 定量金融 2023-03-06 Yuru Sun , Worapree Maneesoonthorn , Ruben Loaiza-Maya , Gael M. Martin

Value-at-Risk (VaR) and Conditional Value-at-Risk (CVaR) are popular risk measures from academic, industrial and regulatory perspectives. The problem of minimizing CVaR is theoretically known to be of Neyman-Pearson type binary solution. We…

投资组合管理 · 定量金融 2013-08-19 Jing Li , Mingxin Xu

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…

信号处理 · 电气工程与系统科学 2023-09-12 Xiwen Wang , Rui Zhou , Jiaxi Ying , Daniel P. Palomar

The majority of standard approaches to financial portfolio optimization (PO) are based on the mean-variance (MV) framework. Given a risk aversion coefficient, the MV procedure yields a single portfolio that represents the optimal trade-off…

投资组合管理 · 定量金融 2024-02-27 Bruno Gašperov , Marko Đurasević , Domagoj Jakobovic

This paper studies a variation of the continuous-time mean-variance portfolio selection where a tracking-error penalization is added to the mean-variance criterion. The tracking error term penalizes the distance between the allocation…

计算金融 · 定量金融 2020-09-21 William Lefebvre , Gregoire Loeper , Huyên Pham