2011
DOI: 10.1016/j.jeconom.2010.03.034
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Volatility forecast comparison using imperfect volatility proxies

Abstract: a b s t r a c tThe use of a conditionally unbiased, but imperfect, volatility proxy can lead to undesirable outcomes in standard methods for comparing conditional variance forecasts. We motivate our study with analytical results on the distortions caused by some widely used loss functions, when used with standard volatility proxies such as squared returns, the intra-daily range or realised volatility. We then derive necessary and sufficient conditions on the functional form of the loss function for the ranking… Show more

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Cited by 955 publications
(452 citation statements)
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“…Recent papers addressing this include [13,14]. Generally, the suggested volatility proxy is the realized volatility in some particular form, coupled with an MSFE evaluation criterion.…”
Section: Resultsmentioning
confidence: 99%
“…Recent papers addressing this include [13,14]. Generally, the suggested volatility proxy is the realized volatility in some particular form, coupled with an MSFE evaluation criterion.…”
Section: Resultsmentioning
confidence: 99%
“…QLIKE function shares robustness on ranking the models with respect to an unbiased estimator of the unkown conditional variance, see for example Patton (2011) . Even if metric criteria are important, it is useful to have statistical tests that assess if the difference between loss functions of two competing models is significant or not.…”
Section: Data and Methodsologymentioning
confidence: 99%
“…First, the use of imperfect volatility proxy could lead to inconsistent or undesirable outcomes of standard methods for comparing volatility estimators (see, e.g., McMillan & Speight (2004); Hansen & Lunde (2006); Patton (2011)). For example, as suggested by Andersen and Bollerslev (1998), the most common proxy for 'true volatility', i.e., squared daily returns, may be a 'noisy' or imprecise estimator and thus, as an alternative, the volatility can be calculated by summing the squared intraday returns.…”
Section: Literature Reviewmentioning
confidence: 99%