relation: https://publications.ut-capitole.fr/id/eprint/22149/ title: Endogenous Second Moments: A Unified Approach to Fluctuations in Risk, Dispersion, and Uncertainty creator: Straub, Ludwig creator: Ulbricht, Robert subject: B- ECONOMIE ET FINANCE description: Many important statistics in macroeconomics and finance—such as cross-sectional dispersions, risk, volatility, or uncertainty—are second moments. In this paper, we explore a mechanism by which second moments naturally and endogenously fluctuate over time as nonlinear transformations of fundamentals. Specifically, we provide general results that characterize second moments of transformed random variables when the underlying fundamentals are subject to distributional shifts that affect their means, but not their variances. We illustrate the usefulness of our results with a series of applications to (1) the cyclicality of the cross-sectional dispersions of macroeconomic variables, (2) the dispersion of MRPKs, (3) security pricing, and (4) endogenous uncertainty in Bayesian inference problems. publisher: TSE Working Paper date: 2016-06 type: Monograph type: NonPeerReviewed format: text language: en identifier: https://publications.ut-capitole.fr/id/eprint/22149/1/wp_tse_664.pdf identifier: Straub, Ludwig and Ulbricht, Robert (2016) Endogenous Second Moments: A Unified Approach to Fluctuations in Risk, Dispersion, and Uncertainty. TSE Working Paper, n. 16-664, Toulouse relation: http://tse-fr.eu/pub/30521 language: en