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.