A Quantile Regression Approach to Estimating the Distribution of Multiperiod Returns

Time-varying and stochastic volatility, non-lognormaility, mean reversion, price jumps, and non-zero correlation between volatility changes and asset returns all characterize asset returns, at least in some markets and some time periods. This can make accurately estimating the location of the tail o...

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Үндсэн зохиолч: Taylor, J
Формат: Journal article
Хэвлэсэн: 1999
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author Taylor, J
author_facet Taylor, J
author_sort Taylor, J
collection OXFORD
description Time-varying and stochastic volatility, non-lognormaility, mean reversion, price jumps, and non-zero correlation between volatility changes and asset returns all characterize asset returns, at least in some markets and some time periods. This can make accurately estimating the location of the tail of a returns distribution, as in a Value at Risk calculation, exceedingly difficult, especially when multiperiod returns distribution, as in a value at risk calculation, exceedingly difficult, especially when multiperiod returns are involved. The conceptual problem of determining which returns model to use brings out the inherent dependence of the answer on this assumption, and suggests that a non-parametric approach may be superior. In this article, Taylor offers a technique that focuses specifically on fitting the particular quantile of the distribution one is interested in, the 1% tail, for instance, using the non-parametric technique of quantile regression. In empirical comparisons against exponential smoothing or GARCH for three exchange rates, the quantile regression technique is shown to perform well.
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spelling oxford-uuid:d1cddd3c-9504-4acf-80e5-74c22684d5a72022-03-27T07:59:26ZA Quantile Regression Approach to Estimating the Distribution of Multiperiod ReturnsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:d1cddd3c-9504-4acf-80e5-74c22684d5a7Saïd Business School - Eureka1999Taylor, JTime-varying and stochastic volatility, non-lognormaility, mean reversion, price jumps, and non-zero correlation between volatility changes and asset returns all characterize asset returns, at least in some markets and some time periods. This can make accurately estimating the location of the tail of a returns distribution, as in a Value at Risk calculation, exceedingly difficult, especially when multiperiod returns distribution, as in a value at risk calculation, exceedingly difficult, especially when multiperiod returns are involved. The conceptual problem of determining which returns model to use brings out the inherent dependence of the answer on this assumption, and suggests that a non-parametric approach may be superior. In this article, Taylor offers a technique that focuses specifically on fitting the particular quantile of the distribution one is interested in, the 1% tail, for instance, using the non-parametric technique of quantile regression. In empirical comparisons against exponential smoothing or GARCH for three exchange rates, the quantile regression technique is shown to perform well.
spellingShingle Taylor, J
A Quantile Regression Approach to Estimating the Distribution of Multiperiod Returns
title A Quantile Regression Approach to Estimating the Distribution of Multiperiod Returns
title_full A Quantile Regression Approach to Estimating the Distribution of Multiperiod Returns
title_fullStr A Quantile Regression Approach to Estimating the Distribution of Multiperiod Returns
title_full_unstemmed A Quantile Regression Approach to Estimating the Distribution of Multiperiod Returns
title_short A Quantile Regression Approach to Estimating the Distribution of Multiperiod Returns
title_sort quantile regression approach to estimating the distribution of multiperiod returns
work_keys_str_mv AT taylorj aquantileregressionapproachtoestimatingthedistributionofmultiperiodreturns
AT taylorj quantileregressionapproachtoestimatingthedistributionofmultiperiodreturns