Bayesian Expected Shortfall Forecasting Incorporating the Intraday Range
Richard Gerlach and
Cathy W. S. Chen ()
Journal of Financial Econometrics, 2016, vol. 14, issue 1, 128-158
Abstract:
Intraday sources of data have proved to be effective for dynamic volatility and tail risk estimation. Expected shortfall (ES) is a tail risk measure, which is now recommended by the Basel Committee, involving a conditional expectation that can be semi-parametrically estimated via an asymmetric sum of squares function. The conditional autoregressive expectile class of model, used to implicitly model ES, is generalized to incorporate information on the intraday range. An asymmetric Gaussian density model error formulation allows a likelihood to be developed that leads to direct estimation and one-step-ahead forecasts of expectiles and, subsequently, of ES. Adaptive Markov chain Monte Carlo sampling schemes are employed for estimation, while their performance is assessed via a simulation study. The proposed models compare favorably with a large range of competitors in an empirical study forecasting seven financial return series over a 10-year period.
Keywords: asymmetric Gaussian distribution; CARE model; expected shortfall; Markov chain Monte Carlo method; nonlinear (search for similar items in EconPapers)
Date: 2016
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