Monetary policy under finite speed of trades and myopia

This paper provides a new framework for monetary macro-policy, where the Central Bank potentially intervenes both on short-term and long-term loans markets, and can do this alternatively by manipulating interest rates or money supply. Following Bonnisseau and Orntangar (2010) and Giraud and Tsomokos (2010), we develop a discrete-time out-of-equilibrium dynamics with real trades, performed by myopic heterogeneous households in a cash-in-advance economy with several goods. Positive value and non-neutrality of fiat money are shown to be compatible with a local quantity theory of money. Every monetary policy induces a globally unique trade path, both for real and nominal variables.Thus, monetary policy and myopia suffice to pin down the absolute level of prices. However, a minimal money growth rate is exhibited, which depends upon the level of households' long-term debt and current gains-to-trade. Below this growth rate, the economy falls into a local liquidity trap ; above it, the economy eventually converges towards a Pareto-optimal rest-point while inflation raises in an unbounded fashion. As a consequence, a literal application of Taylor's rule leads the economy to a local liquidity trap. These findings provide insight into recent non-conventional monetary policies led by Central Banks.