A kinetic equation for economic value estimation with irrationality and herding

A kinetic inhomogeneous Boltzmann-type equation is proposed to model the dynamics of the number of agents in a large market depending on the estimated value of an asset and the rationality of the agents. The interaction rules take into account the interplay of the agents with sources of public information, herding phenomena, and irrationality of the individuals. In the formal grazing collision limit, a nonlinear nonlocal Fokker-Planck equation with anisotropic (or incomplete) diffusion is derived. The existence of global-in-time weak solutions to the Fokker-Planck initial-boundary-value problem is proved. Numerical experiments for the Boltzmann equation highlight the importance of the reliability of public information in the formation of bubbles and crashes. The use of Bollinger bands in the simulations shows how herding may lead to strong trends with low volatility of the asset prices, but eventually also to abrupt corrections

U.S. monetary policy and herding: Evidence from commodity markets

This paper investigates the presence of herding behavior across a spectrum of commodities (i.e., agricultural, energy, precious metals, and metals) futures prices obtained from Datastream. The main novelty of this study is, for the first time in the literature, the explicit investigation of the role of deviations of U.S. monetary policy decisions from a standard Taylor-type monetary rule, in driving herding behavior with respect to commodity futures prices, spanning the period 1990-2017. The results document that the commodity markets are characterized by herding, while such herding behavior is not only driven by U.S. monetary policy decisions, but also such decisions exert asymmetric effects this behavior. An additional novelty of the results is that they document that herding is stronger in discretionary monetary policy regimes.N/