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来源类型Working Paper
规范类型报告
DOI10.3386/w7341
来源IDWorking Paper 7341
CAViaR: Conditional Value at Risk by Quantile Regression
Robert F. Engle; Simone Manganelli
发表日期1999-09-01
出版年1999
语种英语
摘要Value at Risk has become the standard measure of market risk employed by financial institutions for both internal and regulatory purposes. Despite its conceptual simplicity, its measurement is a very challenging statistical problem and none of the methodologies developed so far give satisfactory solutions. Interpreting Value at Risk as a quantile of future portfolio values conditional on current information, we propose a new approach to quantile estimation which does not require any of the extreme assumptions invoked by existing methodologies (such as normality or i.i.d. returns). The Conditional Value at Risk or CAViaR model moves the focus of attention from the distribution of returns directly to the behavior of the quantile. We postulate a variety of dynamic processes for updating the quantile and use regression quantile estimation to determine the parameters of the updating process. Tests of model adequacy utilize the criterion that each period the probability of exceeding the VaR must be independent of all the past information. We use a differential evolutionary genetic algorithm to optimize an objective function which is non-differentiable and hence cannot be optimized using traditional algorithms. Applications to simulated and real data provide empirical support to our methodology and illustrate the ability of these algorithms to adapt to new risk environments.
主题Econometrics ; Estimation Methods
URLhttps://www.nber.org/papers/w7341
来源智库National Bureau of Economic Research (United States)
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资源类型智库出版物
条目标识符http://119.78.100.153/handle/2XGU8XDN/564879
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GB/T 7714
Robert F. Engle,Simone Manganelli. CAViaR: Conditional Value at Risk by Quantile Regression. 1999.
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