Torben G. Andersen*, Rasmus T. Varneskov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


This paper studies the properties of predictive regressions for asset returns in economic systems governed by persistent vector autoregressive dynamics. In particular, we allow for the state variables to be fractionally integrated, potentially of different orders, and for the returns to have a latent persistent conditional mean, whose memory is difficult to estimate consistently by standard techniques in finite samples. Moreover, the predictors may be endogenous and imperfect. In this setting, we develop a consistent local spectrum (LCM) estimation procedure, that delivers asymptotic Gaussian inference. Furthermore, we provide a new LCM-based estimator of the conditional mean persistence, that leverages biased regression slopes as well as new LCM-based tests for significance of (a subset of) the predictors, which are valid even without estimating the return persistence. Simulations illustrate the theoretical arguments. Finally, an empirical application to monthly S&P 500 return predictions provides evidence for a fractionally integrated conditional mean component. Our new LCM procedure and tools indicate significant predictive power for future returns stemming from key state variables such as the default spread and treasury interest rates.

Original languageEnglish (US)
Pages (from-to)1253-1307
Number of pages55
JournalEconometric Theory
Issue number6
StatePublished - Dec 3 2022

ASJC Scopus subject areas

  • Social Sciences (miscellaneous)
  • Economics and Econometrics


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