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In the paper, we consider three quadratic optimization problems which are frequently applied in portfolio theory, i.e, the Markowitz mean-variance problem as well as the problems based on the mean-variance utility function and the quadratic…

投资组合管理 · 定量金融 2013-05-13 Taras Bodnar , Nestor Parolya , Wolfgang Schmid

Classical mean-variance portfolio theory tells us how to construct a portfolio of assets which has the greatest expected return for a given level of return volatility. Utility theory then allows an investor to choose the point along this…

投资组合管理 · 定量金融 2009-09-21 Alex Dannenberg

We employ model predictive control for a multi-period portfolio optimization problem. In addition to the mean-variance objective, we construct a portfolio whose allocation is given by model predictive control with a risk-parity objective,…

投资组合管理 · 定量金融 2021-03-22 Xiaoyue Li , A. Sinem Uysal , John M. Mulvey

We propose a method for extending a given asset pricing formula to account for two additional sources of risk: the risk associated with future changes in market--calibrated parameters and the remaining risk associated with idiosyncratic…

无序系统与神经网络 · 物理学 2008-12-02 T. R. Hurd

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

Growth-optimal portfolios are guaranteed to accumulate higher wealth than any other investment strategy in the long run. However, they tend to be risky in the short term. For serially uncorrelated markets, similar portfolios with more…

投资组合管理 · 定量金融 2016-09-20 Byung-Geun Choi , Napat Rujeerapaiboon , Ruiwei Jiang

Any optimization algorithm based on the risk parity approach requires the formulation of portfolio total risk in terms of marginal contributions. In this paper we use the independence of the underlying factors in the market to derive the…

风险管理 · 定量金融 2014-09-30 Lorenzo Mercuri , Edit Rroji

In this paper, we tackle the dynamic mean-variance portfolio selection problem in a {\it model-free} manner, based on (generative) diffusion models. We propose using data sampled from the real model $\mathbb P$ (which is unknown) with…

投资组合管理 · 定量金融 2025-09-03 Ahmad Aghapour , Erhan Bayraktar , Fengyi Yuan

We consider a mean-variance portfolio selection problem in a financial market with contagion risk. The risky assets follow a jump-diffusion model, in which jumps are driven by a multivariate Hawkes process with mutual-excitation effect. The…

数理金融 · 定量金融 2021-10-19 Yang Shen , Bin Zou

As the increasing application of AI in finance, this paper will leverage AI algorithms to examine tail risk and develop a model to alter tail risk to promote the stability of US financial markets, and enhance the resilience of the US…

风险管理 · 定量金融 2025-08-08 Zong Ke , Yuchen Yin

We analyze the performance of RiskMetrics, a widely used methodology for measuring market risk. Based on the assumption of normally distributed returns, the RiskMetrics model completely ignores the presence of fat tails in the distribution…

统计力学 · 物理学 2009-11-07 Szilard Pafka , Imre Kondor

This paper develops and estimates a multivariate affine GARCH(1,1) model with Normal Inverse Gaussian innovations that captures time-varying volatility, heavy tails, and dynamic correlation across asset returns. We generalize the…

计量经济学 · 经济学 2025-05-20 Ayush Jha , Abootaleb Shirvani , Ali Jaffri , Svetlozar T. Rachev , Frank J. Fabozzi

We study a static portfolio optimization problem with two risk measures: a principle risk measure in the objective function and a secondary risk measure whose value is controlled in the constraints. This problem is of interest when it is…

投资组合管理 · 定量金融 2020-12-14 Çağın Ararat

We propose and study a simple model of dynamical redistribution of capital in a diversified portfolio. We consider a hypothetical situation of a portfolio composed of N uncorrelated stocks. Each stock price follows a multiplicative random…

统计力学 · 物理学 2015-06-25 Matteo Marsili , Sergei Maslov , Yi-Cheng Zhang

It is well known that quantile regression model minimizes the portfolio extreme risk, whenever the attention is placed on the estimation of the response variable left quantiles. We show that, by considering the entire conditional…

投资组合管理 · 定量金融 2015-07-02 Giovanni Bonaccolto , Massimiliano Caporin , Sandra Paterlini

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

This paper is mainly a survey of recent research developments regarding methods for risk minimization in financial markets modeled by It\^o-L\'evy processes, but it also contains some new results on the underlying stochastic maximum…

最优化与控制 · 数学 2014-04-11 Bernt Øksendal , Agnès Sulem

High precision analytical approximation is proposed for variance-covariance based risk allocation in a portfolio of risky assets. A general case of a single-period multi-factor Merton-type model with stochastic recovery is considered. The…

风险管理 · 定量金融 2009-09-28 Mikhail Voropaev

In this work, we consider weighted signed network representations of financial markets derived from raw or denoised correlation matrices, and examine how negative edges can be exploited to reduce portfolio risk. We then propose a discrete…

投资组合管理 · 定量金融 2025-10-08 Bibhas Adhikari

In this paper we construct a shrinkage estimator of the global minimum variance (GMV) portfolio by a combination of two techniques: Tikhonov regularization and direct shrinkage of portfolio weights. More specifically, we employ a double…

统计金融 · 定量金融 2024-07-08 Taras Bodnar , Nestor Parolya , Erik Thorsén