The `ideal' band pass filter can be used to isolate the component of a time series that lies within a particular band of frequencies. However, applying this filter requires a dataset of infinite length. In practice, some sort of approximation is needed. Using projections, we derive...

We show that decentralized privately created money with unstable values can hinder the traded, more transaction-friction sensitive, sector of the economy. We do so in the context of the NationalBanking Act of 1864 in the United States that created a new federally-regulated, fully-backed currency...

This paper studies the relations between money and other macroeconomic variables as well as excess demand in the consumption goods market for the case of China, 1954-83. We explicitly recognize the endogeneity of money in the CPE and do not impose (but instead test) some common restrictive...

In the absence of monetary superneutrality, inflation affects capital accumulation and the demand for real balances. This paper derives the combination of monetary and lump-sum fiscal policy which maximizes the sum of discounted utilities of representative consumers in present and future...