CONSISTENT LOCAL SPECTRUM INFERENCE FOR PREDICTIVE RETURN REGRESSIONS
收益预测回归的一致局部谱推断AI 解读 ↓
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AI 根据所提供的论文材料归类:摘要以资产收益预测回归为核心,并明确研究持续性向量自回归与分数阶积分动态,直接对应收益预测和时间序列方向。
收益预测回归的一致局部谱推断AI 解读 ↓
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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.