Research Database

A pairwise random meeting model with money is used to study the nominal yield on pure-discount, default-free securities that are issued by the government. There is one steady state with matured securities at par and, for some parameters, another with them at a discount. In the former, exogenous rejection of unmatured securities by the government is necessary and sufficient for such a steady state to display a positive nominal yield on unmatured securities. In the latter, the post-maturity discount on securities induces a deeper pre-maturity discount even if there is no exogenous rejection of unmatured securities.

This paper is interested in the small sample properties of the indirect inference procedure which has been previously studied only from an asymptotic point of view. First, we highlight the fact that the Andrews (1993) median-bias correction procedure for the autoregressive parameter of an AR(1) process is closely related to indirect inference; we prove that the counterpart of the median-bias correction for indirect inference estimator is an exact bias correction in the sense of a generalized mean. Next, assuming that the auxiliary estimator admits an Edgeworth expansion, we prove that indirect inference operates automatically a second order bias correction. The latter is a well known property of the Bootstrap estimator; we therefore provide a precise comparison between these two simulation based estimators.