In this paper, I identify the long-run risks (LRR) in the frequency domain, and further estimate the macro (consumption) risk premia in different frequency ranges. To achieve the identification, I employ the long-run projections and the associated inference procedure for I(0) process developed...

Two-pass cross sectional regression (TPCSR) is frequently used in estimating factor risk premiums. Recent papers argue that the common practice of grouping assets into portfolios to reduce the errors-in-variables (EIV) problem leads to loss of efficiency and masks potential deviations from asset...

We introduce a new methodology to estimate the latent factors of a multivariate jump diffusion process illustrated with an application to the commodity futures term structure. Specifically, we propose a new state space form and then use a modified Kalman filter to estimate models with latent...