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A continuous-time financial portfolio selection model with expected utility maximization typically boils down to solving a (static) convex stochastic optimization problem in terms of the terminal wealth, with a budget constraint. In…

投资组合管理 · 定量金融 2022-01-07 Hanqing Jin , Zuo Quan Xu , Xun Yu Zhou

In a market with a rough or Markovian mean-reverting stochastic volatility there is no perfect hedge. Here it is shown how various delta-type hedging strategies perform and can be evaluated in such markets in the case of European options. A…

证券定价 · 定量金融 2020-03-19 Josselin Garnier , Knut Solna

Motivated by empirical evidence for rough volatility models, this paper investigates continuous-time mean-variance (MV) portfolio selection under the Volterra Heston model. Due to the non-Markovian and non-semimartingale nature of the…

投资组合管理 · 定量金融 2020-01-30 Bingyan Han , Hoi Ying Wong

We consider economic obstacles that limit the reliability and accuracy of value-at-risk (VaR). Investors who manage large market transactions should take into account the impact of the randomness of large trade volumes on predictions of…

综合经济学 · 经济学 2024-04-30 Victor Olkhov

Monte Carlo Approaches for calculating Value-at-Risk (VaR) are powerful tools widely used by financial risk managers across the globe. However, they are time consuming and sometimes inaccurate. In this paper, a fast and accurate Monte Carlo…

综合经济学 · 经济学 2020-11-17 Seyed Mohammad Sina Seyfi , Azin Sharifi , Hamidreza Arian

In this paper we discuss a general methodology to compute the market risk measure over long time horizons and at extreme percentiles, which are the typical conditions needed for estimating Economic Capital. The proposed approach extends the…

风险管理 · 定量金融 2014-08-12 Luca Spadafora , Marco Dubrovich , Marcello Terraneo

In portfolio analysis, the traditional approach of replacing population moments with sample counterparts may lead to suboptimal portfolio choices. I show that optimal portfolio weights can be estimated using a machine learning (ML)…

投资组合管理 · 定量金融 2018-07-31 Daniel Kinn

We provided proof here that coefficient of variation (CV) is a direct measure of risk using an equation that has been derived here for the first time. We also presented a method to generate a stock CV based on return that strongly…

数理金融 · 定量金融 2022-06-22 Julius O. Campeciño

We implement momentum strategies using reward-risk measures as ranking criteria based on classical tempered stable distribution. Performances and risk characteristics for the alternative portfolios are obtained in various asset classes and…

投资组合管理 · 定量金融 2015-06-09 Jaehyung Choi , Young Shin Kim , Ivan Mitov

We study a discrete-time multi-period portfolio optimization problem under an explicit constraint on the Deviation Conditional Value-at-Risk (DCVaR), defined as the excess of Conditional Value-at-Risk over expected terminal wealth. The…

投资组合管理 · 定量金融 2026-04-17 Jérôme Lelong , Véronique Maume-Deschamps , William Thevenot

Optimizing risk measures such as Value-at-Risk (VaR) and Conditional Value-at-Risk (CVaR) of a general loss distribution is usually difficult, because 1) the loss function might lack structural properties such as convexity or…

最优化与控制 · 数学 2016-08-03 Helin Zhu , Joshua Hale , Enlu Zhou

A fractal approach to the long-short portfolio optimization is proposed. The algorithmic system based on the composition of market-neutral spreads into a single entity was considered. The core of the optimization scheme is a fractal walk…

投资组合管理 · 定量金融 2016-12-20 Sergey Kamenshchikov , Ilia Drozdov

We show how one can actually take advantage of the strongly non-Gaussian nature of the fluctuations of financial assets to simplify the calculation of the Value-at-Risk of complex non linear portfolios. The resulting equations are not hard…

凝聚态物理 · 物理学 2007-05-23 Jean-Philippe Bouchaud , Marc Potters

Integer variables allow the treatment of some portfolio optimization problems in a more realistic way and introduce the possibility of adding some natural features to the model. We propose an algebraic approach to maximize the expected…

最优化与控制 · 数学 2010-04-07 F. Castro , J. Gago , I. Hartillo , J. Puerto , J. M. Ucha

A novel optimisation framework through quadratic nonlinear projection is introduced for credit portfolio when the portfolio risk is measured by Conditional Value-at-Risk (CVaR). The whole optimisation procedure to search toward the optimal…

投资组合管理 · 定量金融 2016-07-20 Boguk Kim , Chulwoo Han , Frank Chongwoo Park

Portfolio allocation with gross-exposure constraint is an effective method to increase the efficiency and stability of selected portfolios among a vast pool of assets, as demonstrated in Fan et al (2008). The required high-dimensional…

投资组合管理 · 定量金融 2010-04-29 Jianqing Fan , Yingying Li , Ke Yu

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

We consider the problem of choosing an optimal portfolio, assuming the asset returns have a Gaussian mixture (GM) distribution, with the objective of maximizing expected exponential utility. In this paper we show that this problem is…

最优化与控制 · 数学 2022-08-12 Eric Luxenberg , Stephen Boyd

Value at Risk (VaR) and Conditional Value at Risk (CVaR) have become the most popular measures of market risk in Financial and Insurance fields. However, the estimation of both risk measures is challenging, because it requires the knowledge…

统计方法学 · 统计学 2024-10-17 Jacinto Martín , M. Isabel Parra , Eva L. Sanjuán , Mario M. Pizarro

This paper studies a type of periodic utility maximization for portfolio management in an incomplete market model, where the underlying price diffusion process depends on some external stochastic factors. The portfolio performance is…

投资组合管理 · 定量金融 2024-01-29 Wenyuan Wang , Kaixin Yan , Xiang Yu
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