This paper shows how to decompose weakly stationary time series into the sum, across time scales, of uncorrelated components associated with different degrees of persistence. In particular, we provide an Extended Wold Decomposition based on an isometric scaling operator that makes averages of...

We show that low-order autoregression models for short-term expected returns imply long-term dynamics that have a (too) fast vanishing persistence when compared with the evidence from long-horizon predictive regressions. We then propose a novel modeling framework that exploits the low-frequency...

We propose a methodology based on multiresolution analysis to decompose a time series in components classifi ed by their level of persistence. Using this decomposition to detect the layers with diff erent degrees of persistence in consumption growth, we provide empirical evidence that some of...

Standard factor models focus on returns and leave prices undetermined. Thisapproach ignores information contained in the time-series of asset prices, relevantfor long-term investors and for detecting potential mispricing. To address this issue,we propose a novel (co-)integrated methodology to...

This paper shows how to decompose weakly stationary time series into the sum, across time scales, of uncorrelated components associated with different degrees of persistence. In particular, we provide an Extended Wold Decomposition based on an isometric scaling operator that makes averages of...

We represent risk factors as sums of orthogonal components capturing fluctuations with cycles of different length. The representation leads to novel spectral factor models in which systematic risk is allowed (without being forced) to vary across frequencies. Frequency-specific systematic risk is...