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Recent work in asset pricing has focused on market-wide variance as a systematic factor and on firm-specific variance as idiosyncratic risk. We study an alternative channel through which the variability of financial market returns may help our understanding of cross-sectional price formation in...
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The main contribution of this paper is to propose and theoretically justify bootstrap methods for regressions where some of the regressors are factors estimated from a large panel of data. We derive our results under the assumption that √T/N→c, where 0≤c<∞ (N and T are the cross-sectional and the time series dimensions, respectively), thus allowing for the possibility that factors estimation error enters the limiting distribution of the OLS estimator. We consider general residual-based bootstrap methods and provide a set of high level conditions on the bootstrap residuals and on the idiosyncratic errors such that the bootstrap distribution of the OLS estimator is consistent. We subsequently verify these conditions for a simple wild bootstrap residual-based procedure.Our main results can be summarized as follows. When c=0, as in Bai and Ng (2006), the crucial condition for bootstrap validity is the ability of the bootstrap regression scores to mimic the serial dependence of the original regression scores. Mimicking the cross sectional and/or serial dependence of the idiosyncratic errors in the panel factor model is asymptotically irrelevant in this case since the limiting distribution of the original OLS estimator does not depend on these dependencies. Instead, when c>0, a two-step residual-based...</∞>
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This paper studies nonstationarities in panels of exchange rates and interest rates. For this, we survey developments in the analysis of nonstationary panels with cross-sectional dependence modeled as a factor model. We focus on panel unit root tests and on inference on the nonstationary...
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We argue that the persistence properties of financial market volatility need to be taken into account when carrying out inference about volatility measures, for example when assessing the relation between realized and implied volatility series. If these volatility measures display long memory,...
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We examine the relationship between the risk premium on the Samp;P500 index total return and its conditional variance. We propose a new semiparametric model in which the conditional variance process is parametric, while the conditional mean is an arbitrary function of the condi-tional variance....
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