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Value-at-risk (VaR) has been playing the role of a standard risk measure since its introduction. In practice, the delta-normal approach is usually adopted to approximate the VaR of portfolios with option positions. Its effectiveness,…

统计方法学 · 统计学 2019-04-22 Junyao Chen , Tony Sit , Hoi Ying Wong

In this paper, a new way to integrate volatility information for estimating value at risk (VaR) and conditional value at risk (CVaR) of a portfolio is suggested. The new method is developed from the perspective of Bayesian statistics and it…

风险管理 · 定量金融 2022-05-04 Taras Bodnar , Vilhelm Niklasson , Erik Thorsén

Conditional Value at Risk (CVaR) is a prominent risk measure that is being used extensively in various domains. We develop a new formula for the gradient of the CVaR in the form of a conditional expectation. Based on this formula, we…

机器学习 · 统计学 2014-11-25 Aviv Tamar , Yonatan Glassner , Shie Mannor

Risk measures are important key figures to measure the adequacy of the reserves of a company. The most common risk measures in practice are Value-at-Risk (VaR) and Conditional Value-at-Risk (CVaR). Recently, quantum-based algorithms are…

量子物理 · 物理学 2025-01-29 Christian Laudagé , Ivica Turkalj

Value at Risk (VaR) is a quantitative measure used to evaluate the risk linked to the potential loss of investment or capital. Estimation of the VaR entails the quantification of prospective losses in a portfolio of investments, using a…

数理金融 · 定量金融 2024-10-01 Minglian Lin , Indranil SenGupta , William Wilson

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

Measuring risk is at the center of modern financial risk management. As the world economy is becoming more complex and standard modeling assumptions are violated, the advanced artificial intelligence solutions may provide the right tools to…

机器学习 · 计算机科学 2020-11-16 Hamidreza Arian , Mehrdad Moghimi , Ehsan Tabatabaei , Shiva Zamani

A novel dynamical model for the study of operational risk in banks and suitable for the calculation of the Value at Risk (VaR) is proposed. The equation of motion takes into account the interactions among different bank's processes, the…

风险管理 · 定量金融 2012-02-14 Marco Bardoscia , Roberto Bellotti

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

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 introduce two quantum algorithms to compute the Value at Risk (VaR) and Conditional Value at Risk (CVaR) of financial derivatives using quantum computers: the first by applying existing ideas from quantum risk analysis to derivative…

量子物理 · 物理学 2024-04-17 Nikitas Stamatopoulos , B. David Clader , Stefan Woerner , William J. Zeng

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

Simulation-based probabilistic risk assessment (SPRA) is a systematic and comprehensive methodology that has been used and refined over the past few decades to evaluate the risks associated with complex systems. SPRA models are well…

系统与控制 · 电气工程与系统科学 2022-07-27 Tarannom Parhizkar

A method for quantile-based, semi-parametric historical simulation estimation of multiple step ahead Value-at-Risk (VaR) and Expected Shortfall (ES) models is developed. It uses the quantile loss function, analogous to how the…

统计金融 · 定量金融 2025-03-06 Richard Gerlach , Antonio Naimoli , Giuseppe Storti

Simulation-based testing is a promising approach to significantly reduce the validation effort of automated driving functions. Realistic models of environment perception sensors such as camera, radar and lidar play a key role in this…

信号处理 · 电气工程与系统科学 2020-10-13 Anthony Ngo , Max Paul Bauer , Michael Resch

We study the asymptotic behavior of the difference between the values at risk VaR(L) and VaR(L+S) for heavy tailed random variables L and S for application in sensitivity analysis of quantitative operational risk management within the…

风险管理 · 定量金融 2017-08-25 Takashi Kato

Conditional value at risk (CVaR) is a popular measure for quantifying portfolio risk. Sensitivity analysis of CVaR is very useful in risk management and gradient-based optimization algorithms. In this paper, we study the infinitesimal…

数值分析 · 数学 2020-09-22 Zhijian He

In this paper we consider Fourier transform techniques to efficiently compute the Value-at-Risk and the Conditional Value-at-Risk of an arbitrary loss random variable, characterized by having a computable generalized characteristic…

风险管理 · 定量金融 2015-06-01 Alessandro Ramponi

Risk sensitive decision making finds important applications in current day use cases. Existing risk measures consider a single or finite collection of random variables, which do not account for the asymptotic behaviour of underlying…

风险管理 · 定量金融 2024-05-24 Shivam Patel , Vivek Borkar

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
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