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Robust Inference for Multiple Predictive Regressions with an Application on Bond Risk Premia

Xiaosai Liao, Xinjue Li, Qingliang Fan

arXiv 2 Jan 2024 · Statistics — Methodology

arXiv:2401.01064 · PDF · DOI · OpenAlex · Extracted main text

Abstract

We propose a robust hypothesis testing procedure for the predictability of multiple predictors that could be highly persistent. Our method improves the popular extended instrumental variable (IVX) testing (Phillips and Lee, 2013; Kostakis et al., 2015) in that, besides addressing the two bias effects found in Hosseinkouchack and Demetrescu (2021), we find and deal with the variance-enlargement effect. We show that two types of higher-order terms induce these distortion effects in the test statistic, leading to significant over-rejection for one-sided tests and tests in multiple predictive regressions. Our improved IVX-based test includes three steps to tackle all the issues above regarding finite sample bias and variance terms. Thus, the test statistics perform well in size control, while its power performance is comparable with the original IVX. Monte Carlo simulations and an empirical study on the predictability of bond risk premia are provided to demonstrate the effectiveness of the newly proposed approach.

Citation extraction

32
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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Kostakis, A., Magdalinos, T., and Stamatogiannis, M (2015) Robust Econometric Inference for Stock Return Predictability1.000238100%
2Phillips, P. C. B. and Lee, J. H (2013) Predictive Regression under Various Degrees of Persistence and Robust Long-Horizon Regression1.000189100%
3Hosseinkouchack, M. and Demetrescu, M (2021) Finite-Sample Size Control of IVX-Based Tests in Predictive Regressions1.000185100%
4Ludvigson, S. C. and Ng, S (2009) Macro factors in bond risk premia0.874152100%
5Xu, K. L. and Guo, J (2022) A New Test for Multiple Predictive Regression0.87452100%
6Cochrane, J. H. and Piazzesi, M (2005) Bond risk premia0.81142100%
7Demetrescu, M. and Rodrigues, P. M (2022) Residual-augmented ivx predictive regression0.69351100%
8Campbell, J. and Yogo, M (2006) Efficient Tests of Stock Return Predictability0.51121100%
9Hall, P. and Heyde, C (1980) Martingale Limit Theory and its Application0.51121100%
10D'Amico, S. and King, T. B (2013) Flow and stock effects of large-scale treasury purchases: Evidence on the importance of local supply0.40511100%

Showing the top 10 of 32 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1Robust Bond Risk Premia Predictability Test in the Quantiles0.754144