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We study risk-sensitive planning under partial observability using the dynamic risk measure Iterated Conditional Value-at-Risk (ICVaR). A policy evaluation algorithm for ICVaR is developed with finite-time performance guarantees that do not…

人工智能 · 计算机科学 2026-01-29 Yaacov Pariente , Vadim Indelman

Credit Suisse First Boston (CSFB) launched in 1997 the model CreditRisk+ which aims at calculating the loss distribution of a credit portfolio on the basis of a methodology from actuarial mathematics. Knowing the loss distribution, it is…

统计力学 · 物理学 2008-12-02 Hermann Haaf , Dirk Tasche

Numerical challenges inherent in algorithms for computing worst Value-at-Risk in homogeneous portfolios are identified and solutions as well as words of warning concerning their implementation are provided. Furthermore, both conceptual and…

风险管理 · 定量金融 2015-12-29 Marius Hofert , Amir Memartoluie , David Saunders , Tony Wirjanto

Risk measures such as Expected Shortfall (ES) and Value-at-Risk (VaR) have been prominent in banking regulation and financial risk management. Motivated by practical considerations in the assessment and management of risks, including…

数理金融 · 定量金融 2021-05-05 Ruodu Wang , Johanna F. Ziegel

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

The global financial crisis of 2007-2009 highlighted the crucial role systemic risk plays in ensuring stability of financial markets. Accurate assessment of systemic risk would enable regulators to introduce suitable policies to mitigate…

统计理论 · 数学 2022-03-03 Natalia Nolde , Chen Zhou , Menglin Zhou

This paper is devoted to the quantification and analysis of marginal risk contribution of a given single financial institution i to the risk of a financial system s. Our work expands on the CoVaR concept proposed by Adrian and Brunnermeier…

风险管理 · 定量金融 2012-11-27 Brice Hakwa , Manfred Jäger-Ambrożewicz , Barbara Rüdiger

The time value of money is a critical factor not only in risk analysis, but also in insurance and financial applications. In this paper, we consider a special class of set-valued risk statistics by introducing the time value of money. In…

风险管理 · 定量金融 2021-08-20 Fei Sun , Xiaozhi Fan , Weitao Liu

In several real-world applications involving decision making under uncertainty, the traditional expected value objective may not be suitable, as it may be necessary to control losses in the case of a rare but extreme event. Conditional…

机器学习 · 计算机科学 2018-08-07 Ravi Kumar Kolla , Prashanth L. A. , Sanjay P. Bhat , Krishna Jagannathan

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

Conditional value-at-risk (CVaR) is a prominent risk measure in financial engineering, energy systems, and supply chain management. In these domains, Markov decision processes (MDPs) with a long-run CVaR criterion effectively mitigate cost…

最优化与控制 · 数学 2026-03-11 Qixin Wang , Hao Cao , Jian-Qiang Hu , Mingjie Hu , Li Xia

Risk scores are an interpretable and actionable class of machine learning models with applications in medicine, insurance, and risk management. Unlike most computational methods, risk scores are designed to be computed by a human by…

机器学习 · 计算机科学 2026-05-05 Costa Georgantas , Jonas Richiardi

Distributional reinforcement learning (RL) -- in which agents learn about all the possible long-term consequences of their actions, and not just the expected value -- is of great recent interest. One of the most important affordances of a…

人工智能 · 计算机科学 2021-11-15 Chris Gagne , Peter Dayan

This paper investigates the use of retrospective approximation solution paradigm in solving risk-averse optimization problems effectively via importance sampling (IS). While IS serves as a prominent means for tackling the large sample…

风险管理 · 定量金融 2022-06-28 Anand Deo , Karthyek Murthy , Tirtho Sarker

Value-at-risk (VaR) is an established measure to assess risks in critical real-world applications with random environmental factors. This paper presents a novel VaR upper confidence bound (V-UCB) algorithm for maximizing the VaR of a…

机器学习 · 计算机科学 2021-05-14 Quoc Phong Nguyen , Zhongxiang Dai , Bryan Kian Hsiang Low , Patrick Jaillet

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

Equity risk premium is a central component of every risk and return model in finance and a key input to estimate costs of equity and capital in both corporate finance and valuation. An article by Damodaran examines three broad approaches…

证券定价 · 定量金融 2019-03-20 Enzo Busseti

Conditional value-at-risk (CVaR) and value-at-risk (VaR) are popular tail-risk measures in finance and insurance industries as well as in highly reliable, safety-critical uncertain environments where often the underlying probability…

机器学习 · 计算机科学 2021-06-23 Shubhada Agrawal , Wouter M. Koolen , Sandeep Juneja

This paper is devoted to the introduction and study of a new family of multivariate elicitable risk measures. We call the obtained vector-valued measures multivariate expectiles. We present the different approaches used to construct our…

统计方法学 · 统计学 2016-09-27 Véronique Maume-Deschamps , Didier Rullière , Khalil Saïd

This paper concerns sequential computation of risk measures for financial data and asks how, given a risk measurement procedure, we can tell whether the answers it produces are `correct'. We draw the distinction between `external' and…

风险管理 · 定量金融 2015-11-20 Mark H. A. Davis