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This paper studies a robust portfolio optimization problem under the multi-factor volatility model introduced by Christoffersen et al. (2009). The optimal strategy is derived analytically under the worst-case scenario with or without…

数理金融 · 定量金融 2020-06-16 Ben-Zhang Yang , Xiaoping Lu , Guiyuan Ma , Song-Ping Zhu

The fundamental principle in Modern Portfolio Theory (MPT) is based on the quantification of the portfolio's risk related to performance. Although MPT has made huge impacts on the investment world and prompted the success and prevalence of…

投资组合管理 · 定量金融 2021-02-15 Shi Yu , Haoran Wang , Chaosheng Dong

The presence of noise is the primary challenge in realizing fault-tolerant quantum computers. In this work, we introduce and experimentally validate a novel strategy to circumvent noise by exploiting the phenomenon of metastability, where a…

量子物理 · 物理学 2026-05-28 Antonio Sannia , Pratik Sathe , Luis Pedro García-Pintos

We present a framework for modeling asset and portfolio dynamics, incorporating this information into portfolio optimization. For this framework, we introduce the Commonality Principle, providing a solution for the optimal selection of…

投资组合管理 · 定量金融 2023-09-07 Alejandro Rodriguez Dominguez

We study the design of portfolios under a minimum risk criterion. The performance of the optimized portfolio relies on the accuracy of the estimated covariance matrix of the portfolio asset returns. For large portfolios, the number of…

投资组合管理 · 定量金融 2016-01-20 Liusha Yang , Romain Couillet , Matthew R. McKay

The optimization of a large random portfolio under the Expected Shortfall risk measure with an $\ell_2$ regularizer is carried out by analytical calculation. The regularizer reins in the large sample fluctuations and the concomitant…

投资组合管理 · 定量金融 2018-07-04 Gábor Papp , Fabio Caccioli , Imre Kondor

This paper considers the mean variance portfolio management problem. We examine portfolios which contain both primary and derivative securities. The challenge in this context is due to portfolio's nonlinearities. The delta-gamma…

投资组合管理 · 定量金融 2011-11-08 Yang Li , Traian A Pirvu

Value at Risk (VaR) and stress testing are two of the most widely used approaches in portfolio risk management to estimate potential market value losses under adverse market moves. VaR quantifies potential loss in value over a specified…

计算金融 · 定量金融 2024-10-01 Krishan Mohan Nagpal

We study the optimal portfolio allocation problem from a Bayesian perspective using value at risk (VaR) and conditional value at risk (CVaR) as risk measures. By applying the posterior predictive distribution for the future portfolio…

投资组合管理 · 定量金融 2020-12-04 Taras Bodnar , Mathias Lindholm , Vilhelm Niklasson , Erik Thorsén

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

There exist several methods developed for the canonical change point problem of detecting multiple mean shifts, which search for changes over sections of the data at multiple scales. In such methods, estimation of the noise level is often…

统计方法学 · 统计学 2022-11-07 Euan T. McGonigle , Haeran Cho

Engineering risk is concerned with the likelihood of failure and the scenarios when it occurs. The sensitivity of failure probability to change in system parameters is relevant to risk-informed decision making. Computing sensitivity is at…

统计方法学 · 统计学 2025-12-19 Siu-Kui Au , Zi-Jun Cao

Portfolio backtesting is the primary tool for evaluating investment strategies before deployment, yet practitioners implicitly assume that different engines produce identical results for the same strategy. we formalise implementation risk,…

投资组合管理 · 定量金融 2026-03-26 Dong Yin , Takeshi Miki , Vladislav Lesnichenko , Vasyl Gural

We study the effects of time-varying environmental noise on nonequilibrium phase transitions in spreading and growth processes. Using the examples of the logistic evolution equation as well as the contact process, we show that such temporal…

统计力学 · 物理学 2015-11-25 Thomas Vojta , José A. Hoyos

We enhance the Universal Portfolio Shrinkage Approximator (UPSA) of Kelly et al. (2023) by making it more robust with respect to estimation noise and covariate shift. UPSA optimizes the realized Sharpe ratio using a relatively small…

风险管理 · 定量金融 2025-11-14 Paul Ruelloux , Christian Bongiorno , Damien Challet

The expected regret and target semi-variance are two of the most important risk measures for downside risk. When the distribution of a loss is uncertain, and only partial information of the loss is known, their worst-case values play…

风险管理 · 定量金融 2024-10-10 Jun Cai , Zhanyi Jiao , Tiantian Mao

We develop a general theory of risk measures that determines the optimal amount of capital to raise and invest in a portfolio of reference traded securities in order to meet a pre-specified regulatory requirement. The distinguishing feature…

数理金融 · 定量金融 2021-11-17 Maria Arduca , Cosimo Munari

To discover intrinsic inter-class transition probabilities underlying data, learning with noise transition has become an important approach for robust deep learning on corrupted labels. Prior methods attempt to achieve such transition…

机器学习 · 计算机科学 2020-06-15 Jun Shu , Qian Zhao , Zongben Xu , Deyu Meng

We consider the problem of mean-variance portfolio optimization for a generic covariance matrix subject to the budget constraint and the constraint for the expected return, with the application of the replica method borrowed from the…

投资组合管理 · 定量金融 2017-01-04 Istvan Varga-Haszonits , Fabio Caccioli , Imre Kondor

We revisit the problem of portfolio selection, where an investor maximizes utility subject to a risk constraint. Our framework is very general and accommodates a wide range of utility and risk functionals, including non-concave utilities…

数理金融 · 定量金融 2025-09-15 Leonardo Baggiani , Martin Herdegen , Nazem Khan