We propose two nonparametric transition density-based speciÞcation tests for continuous-time diffusion models. In contrast to marginal density as used in the literature, transition density can capture the full dynamics of a diffusion process, and in particular, can distinguish processes with...

We study optimal monetary policy, macro dynamics and their implications on the term structure of interest rates in a continuous-time New-Keynesian model. With a quadratic cost function and regime-dependent monetary discount rates, the time-consistent optimal monetary policy is regime-dependent...