“…For example, Gârleanu, Panageas, and Yu (2012) and Kung and Schmid (2015) explicitly model production and innovation to endogenize the consumption dynamics, with a particular focus on low-frequency fluctuations, helping bring in data on the dynamics of research and development (R&D) investment to strengthen statistical identification of the persistence parameter of the aggregate consumption process. Dou, Ji, Tian, and Wang (2021) further connect the endogenous persistent consumption growth with the dynamics of capital misallocation. Another approach is to modify the belief formation mechanism so that the baseline model parameters including those which govern the evolution of agents' (potentially heterogeneous) beliefs are better identified by the baseline moment restrictions and do not rely excessively on the restrictions implied by the asset pricing moments (e.g., Barberis, Shleifer, and Vishny, 1998;Hansen and Sargent, 2010;Chen, Joslin, and Tran, 2012;Greenwood and Shleifer, 2014;Nagel and Xu, 2019).…”