Robust Inference for Time Varying Predictability: A Sieve-IVX Approach

Nan Liu, Yanbo Liu, Peter Phillips and Yajie Zhang
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Nan Liu: Xiamen University
Yanbo Liu: Shandong University
Peter Phillips: Yale University, University of Auckland, Singapore Management University
Yajie Zhang: Singapore Management University

No 2431, Cowles Foundation Discussion Papers from Cowles Foundation for Research in Economics, Yale University

Abstract: Predictive regression models are often used to evaluate the predictive capability of economic fundamentals on bond and equity returns. Inferential procedures in these regressions typically employ parameter constancy or piecewise constancy in slope coefficients. Such formulations are prone to misspecification, more especially during periods of disturbance or evolution in prevailing economic and financial conditions, which can lead to size distortion and spurious evidence of predictability. To address these issues the present work proposes a semiparametric predictive regression model with mixed-root regressors and time-varying coefficients that allow for smooth evolution in the generating mechanism over time. For estimation and inference a novel variant of the self-generated instrument approach called Sieve-IVX is introduced, giving a robust approach to inference concerning time-varying predictability that is applicable irrespective of the degrees of persistence. Asymptotic theory of the Sieve-IVX approach is provided together with both pointwise and uniform inference procedures for testing predictability and model specification. Simulations show excellent performance characteristics of these statistics in finite samples. An empirical exercise is conducted to examine excess S&P 500 returns, \ applying Sieve-IVX regression coupled with pointwise and uniform tests to reveal evidence of time-varying patterns in the predictive capability of commonly used fundamental variables.

Pages: 46 pages
Date: 2025-03-13
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