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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

Value-at-Risk (VaR) and Conditional Value-at-Risk (CVaR) are popular risk measures from academic, industrial and regulatory perspectives. The problem of minimizing CVaR is theoretically known to be of Neyman-Pearson type binary solution. We…

投资组合管理 · 定量金融 2013-08-19 Jing Li , Mingxin Xu

A long memory and non-linear realized volatility model class is proposed for direct Value at Risk (VaR) forecasting. This model, referred to as RNN-HAR, extends the heterogeneous autoregressive (HAR) model, a framework known for efficiently…

风险管理 · 定量金融 2024-08-27 Rangika Peiris , Minh-Ngoc Tran , Chao Wang , Richard Gerlach

This paper is concerned with the process of risk allocation for a generic multivariate model when the risk measure is chosen as the Value-at-Risk (VaR). We recast the traditional Euler contributions from an expectation conditional on an…

计算金融 · 定量金融 2022-06-22 Takaaki Koike , Yuri F. Saporito , Rodrigo S. Targino

We consider calculation of capital requirements when the underlying economic scenarios are determined by simulatable risk factors. In the respective nested simulation framework, the goal is to estimate portfolio tail risk, quantified via…

风险管理 · 定量金融 2018-05-18 Michael Ludkovski , James Risk

The volatility of financial instruments is rarely constant, and usually varies over time. This creates a phenomenon called volatility clustering, where large price movements on one day are followed by similarly large movements on successive…

统计金融 · 定量金融 2015-05-08 Gordon J. Ross

In time-series analyses, particularly for finance, generalized autoregressive conditional heteroscedasticity (GARCH) models are widely applied statistical tools for modelling volatility clusters (i.e., periods of increased or decreased…

统计方法学 · 统计学 2023-10-24 Philipp Otto , Wolfgang Schmid

Realised volatility has become increasingly prominent in volatility forecasting due to its ability to capture intraday price fluctuations. With a growing variety of realised volatility estimators, each with unique advantages and…

风险管理 · 定量金融 2024-11-27 Qianli Zhao , Chao Wang , Richard Gerlach , Giuseppe Storti , Lingxiang Zhang

Modeling returns on large portfolios is a challenging problem as the number of parameters in the covariance matrix grows as the square of the size of the portfolio. Traditional correlation models, for example, the dynamic conditional…

统计方法学 · 统计学 2024-06-25 Lupe Shun Hin Chan , Amanda Man Ying Chu , Mike Ka Pui So

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

For a GJR-GARCH specification with a generic innovation distribution we derive analytic expressions for the first four conditional moments of the forward and aggregated returns and variances. Moment for the most commonly used GARCH models…

统计金融 · 定量金融 2018-09-07 Carol Alexander , Emese Lazar , Silvia Stanescu

We propose Generative Adversarial Regression (GAR), a framework for learning conditional risk scenarios through generators aligned with downstream risk objectives. GAR builds on a regression characterization of conditional risk for…

机器学习 · 统计学 2026-03-10 Saeed Asadi , Jonathan Yu-Meng Li

We apply a quadratic hedging scheme developed by Foellmer, Schweizer, and Sondermann to European contingent products whose underlying asset is modeled using a GARCH process and show that local risk-minimizing strategies with respect to the…

证券定价 · 定量金融 2010-01-29 Juan-Pablo Ortega

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 investigates the application of Feature-Enriched Generative Adversarial Networks (FE-GAN) in financial risk management, with a focus on improving the estimation of Value at Risk (VaR) and Expected Shortfall (ES). FE-GAN enhances…

风险管理 · 定量金融 2024-11-26 Ling Chen

The Solvency II Directive and Solvency Assessment and Management (the South African equivalent) give a Solvency Capital Requirement which is based on a 99.5% Value-at-Risk (VaR) calculation. This calculation involves aggregating individual…

应用统计 · 统计学 2018-04-06 Sean van der Merwe , Darren Steven , Martinette Pretorius

Volatility clustering is an important characteristic that has a significant effect on the behavior of stock markets. However, designing robust models for accurate prediction of future volatilities of stock prices is a very challenging…

计算金融 · 定量金融 2021-10-11 Jaydip Sen , Sidra Mehtab , Abhishek Dutta

Basel II and Solvency 2 both use the Value-at-Risk (VaR) as the risk measure to compute the Capital Requirements. In practice, to calibrate the VaR, a normal approximation is often chosen for the unknown distribution of the yearly log…

统计方法学 · 统计学 2013-11-04 Marie Kratz

We develop a novel multivariate semi-parametric framework for joint portfolio Value-at-Risk (VaR) and Expected Shortfall (ES) forecasting. Unlike existing univariate semi-parametric approaches, the proposed framework explicitly models the…

风险管理 · 定量金融 2024-12-23 Giuseppe Storti , Chao Wang

This paper introduces a novel approach to financial risk assessment by incorporating topological data analysis (TDA), specifically cohomology groups, into the evaluation of equities portfolios. The study aims to go beyond traditional risk…

风险管理 · 定量金融 2023-10-30 Amit Kumar Jha