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This paper studies a continuous-time portfolio selection problem under a general distribution of random risk aversion (RRA). We provide a complete characterization of all deterministic equilibrium strategies in closed form. Our results show…

数理金融 · 定量金融 2026-02-02 Weilun Cheng , Zongxia Liang , Sheng Wang , Jianming Xia

Volatility is a natural risk measure in finance as it quantifies the variation of stock prices. A frequently considered problem in mathematical finance is to forecast different estimates of volatility. What makes it promising to use deep…

统计金融 · 定量金融 2020-09-14 Bernadett Aradi , Gábor Petneházi , József Gáll

We present an analytical study of an insurance company. We model the company's performance on a statistical basis and evaluate the predicted annual income of the company in terms of insurance parameters namely the premium, total number of…

统计力学 · 物理学 2008-12-10 M. Ebrahim Fouladvand , Amir H. Darooneh

The paper discusses capital allocation using the Euler formula and focuses on the risk measures Value-at-Risk (VaR) and Expected shortfall (ES). Some new results connected to this capital allocation is known. Two examples illustrate that…

风险管理 · 定量金融 2024-05-02 Lars Holden

We consider an investor, whose portfolio consists of a single risky asset and a risk free asset, who wants to maximize his expected utility of the portfolio subject to managing the Value at Risk (VaR) assuming a heavy tailed distribution of…

投资组合管理 · 定量金融 2020-12-02 Subhojit Biswas , Mrinal K. Ghosh , Diganta Mukherjee

This article is focused on using a new measurement of risk-- Weighted Value at Risk to develop a new method of constructing initiate from the TVAR solving problem, based on MATLAB software, using the historical simulation method (avoiding…

风险管理 · 定量金融 2012-11-27 Tianyu Hao

We introduce the concept of virtual volatility. This simple but new measure shows how to quantify the uncertainty in the forecast of the drift component of a random walk. The virtual volatility also is a useful tool in understanding the…

物理与社会 · 物理学 2009-11-13 A. Christian Silva , Richard E. Prange

Organizations investing in artificial intelligence face a fundamental challenge: traditional return on investment calculations fail to capture the dual nature of AI implementations, which simultaneously reduce certain operational risks…

计算机与社会 · 计算机科学 2025-12-01 Hernan Huwyler

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

Volatility is the canonical measure of financial risk, a role largely inherited from Modern Portfolio Theory. Yet, its universality rests on restrictive efficiency assumptions that render volatility, at best, an incomplete proxy for true…

数理金融 · 定量金融 2026-05-01 Sergio Bianchi , Daniele Angelini

The paper Zhao et al. (2015) shows that mean-CVaR-skewness portfolio optimization problems based on asymetric Laplace (AL) distributions can be transformed into quadratic optimization problems under which closed form solutions can be found.…

投资组合管理 · 定量金融 2023-02-20 Nuerxiati Abudurexiti , Kai He , Dongdong Hu , Svetlozar T. Rachev , Hasanjan Sayit , Ruoyu Sun

The valuation of over-the-counter derivatives is subject to a series of valuation adjustments known as xVA, which pose additional risks for financial institutions. Associated risk measures, such as the value-at-risk of an underlying…

计算金融 · 定量金融 2024-05-24 Michael B. Giles , Abdul-Lateef Haji-Ali , Jonathan Spence

This paper introduces a new functional optimization approach to portfolio optimization problems by treating the unknown weight vector as a function of past values instead of treating them as fixed unknown coefficients in the majority of…

投资组合管理 · 定量金融 2020-12-10 Ka Wai Tsang , Zhaoyi He

Project managers need to manage risks throughout the project lifecycle and, thus, need to know how changes in activity durations influence project duration and risk. We propose a new indicator (the Activity Risk Index, ARI) that measures…

风险管理 · 定量金融 2024-06-04 Fernando Acebes , Javier Pajares , Jose M Gonzalez-Varona , Adolfo Lopez-Paredes

We study the dynamic investment decisions of investors who prioritise specific quantiles of outcomes over their expected values. Downside-focused agents targeting low quantiles reduce risk in states with high variance, while those with a…

综合金融 · 定量金融 2025-10-23 Jozef Barunik , Lukas Janasek , Attila Sarkany

Cost-of-capital valuation is a well-established approach to the valuation of liabilities and is one of the cornerstones of current regulatory frameworks for the insurance industry. Standard cost-of-capital considerations typically rely on…

风险管理 · 定量金融 2026-05-13 Hansjörg Albrecher , Filip Lindskog , Hervé Zumbach

Maintaining a competitive edge requires a firm to replace deteriorating business lines with new projects. Accordingly, part of a firm's value resides in its ability to exploit new opportunities. This article incorporates adaptation into…

适应与自组织系统 · 物理学 2007-05-23 Kenton K. Yee

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

Analytical, free of time consuming Monte Carlo simulations, framework for credit portfolio systematic risk metrics calculations is presented. Techniques are described that allow calculation of portfolio-level systematic risk measures…

风险管理 · 定量金融 2010-08-02 Mikhail Voropaev

Value at risk (VaR) is a risk measure that has been widely implemented by financial institutions. This paper measures the correlation among asset price changes implied from VaR calculation. Empirical results using US and UK equity indexes…

风险管理 · 定量金融 2011-03-30 John Cotter , François Longin