2014
DOI: 10.1080/07474938.2013.807107
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Conditional VAR and Expected Shortfall: A New Functional Approach

Abstract: We estimate two well-known risk measures, the Value-at-risk and the expected shortfall, conditionally to a functional variable (i.e., a random variable valued in some semi(pseudo)-metric space). We use nonparametric kernel estimation for constructing estimators of these quantities, under general dependence conditions. Theoretical properties are stated whereas practical aspects are illustrated on simulated data: nonlinear functional and GARCH(1,1) models. Some ideas on bandwidth selection using bootstrap are in… Show more

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Cited by 20 publications
(9 citation statements)
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“…As we all know, value-at-risk (VaR) is defined as the maximum loss in oil markets. A large body of studies pays attention to some alternative methods to forecast the risks [45][46][47][48][49]. Commonly, these methods often assume that the oil return is invariable.…”
Section: Control Variablesmentioning
confidence: 99%
“…As we all know, value-at-risk (VaR) is defined as the maximum loss in oil markets. A large body of studies pays attention to some alternative methods to forecast the risks [45][46][47][48][49]. Commonly, these methods often assume that the oil return is invariable.…”
Section: Control Variablesmentioning
confidence: 99%
“…The existing risk measurement methods are mainly based on different properties of the international crude oil market returns. On the one hand, the market risk is measured from the perspective of heteroscedasticity of asset returns, such as in literature which uses static and dynamic VaR based on GARCH models to predict risks in financial markets like stock markets, international crude oil markets and virtual money markets [20][21][22]. On the other hand, from the perspective of asset returns agglomeration to measure market risks.…”
Section: Risk Measurement Methods Of International Crude Oil Marketmentioning
confidence: 99%
“…Cabedo and Moya [19] assumed heteroscedasticity of crude oil returns and measured the risk of the crude oil market based on the GARCH model. Thereafter, most of the literature adopts static and dynamic VaR based on the GARCH model to predict financial market risks in stock markets, international crude oil markets and virtual currency markets [20][21][22][23]. For example, based on the heteroscedasticity of virtual currency returns, Li et al [24] measured virtual currency market risks with different types of GARCH models.…”
Section: Introductionmentioning
confidence: 99%
“…The VaR reflects the maximum amount of loss exposed in oil during a specific period. In the existing literature, there are many studies focus on the application and some alternative risk measures based on GARCH-type models [27][28][29][30][31]. However, these approaches often assume that the distribution of oil return is invariable across time.…”
Section: Data and Wavelet Approachmentioning
confidence: 99%