Evaluating volatility and interval forecasts.

A widely used approach to evaluating volatility forecasts uses a regression framework which measures the bias and variance of the forecast. We show that the associated test for bias is inappropriate before introducing a more suitable procedure which is based on the test for bias in a conditional mea...

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Main Author: Taylor, J
Format: Journal article
Language:English
Published: John Wiley & Sons, Ltd. 1999
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author Taylor, J
author_facet Taylor, J
author_sort Taylor, J
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description A widely used approach to evaluating volatility forecasts uses a regression framework which measures the bias and variance of the forecast. We show that the associated test for bias is inappropriate before introducing a more suitable procedure which is based on the test for bias in a conditional mean forecast. Although volatility has been the most common measure of the variability in a financial time series, in many situations confidence interval forecasts are required. We consider the evaluation of interval forecasts and present a regression-based procedure which uses quantile regression to assess quantile estimator bias and variance. We use exchange rate data to illustrate the proposal by evaluating seven quantile estimators, one of which is a new non-parametric autoregressive conditional heteroscedasticity quantile estimator. The empirical analysis shows that the new evaluation procedure provides useful insight into the quality of quantile estimators
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spelling oxford-uuid:8312054f-e166-49eb-a2e2-24b2a8505c042022-03-26T21:41:48ZEvaluating volatility and interval forecasts.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:8312054f-e166-49eb-a2e2-24b2a8505c04EnglishDepartment of Economics - ePrintsJohn Wiley & Sons, Ltd.1999Taylor, JA widely used approach to evaluating volatility forecasts uses a regression framework which measures the bias and variance of the forecast. We show that the associated test for bias is inappropriate before introducing a more suitable procedure which is based on the test for bias in a conditional mean forecast. Although volatility has been the most common measure of the variability in a financial time series, in many situations confidence interval forecasts are required. We consider the evaluation of interval forecasts and present a regression-based procedure which uses quantile regression to assess quantile estimator bias and variance. We use exchange rate data to illustrate the proposal by evaluating seven quantile estimators, one of which is a new non-parametric autoregressive conditional heteroscedasticity quantile estimator. The empirical analysis shows that the new evaluation procedure provides useful insight into the quality of quantile estimators
spellingShingle Taylor, J
Evaluating volatility and interval forecasts.
title Evaluating volatility and interval forecasts.
title_full Evaluating volatility and interval forecasts.
title_fullStr Evaluating volatility and interval forecasts.
title_full_unstemmed Evaluating volatility and interval forecasts.
title_short Evaluating volatility and interval forecasts.
title_sort evaluating volatility and interval forecasts
work_keys_str_mv AT taylorj evaluatingvolatilityandintervalforecasts