The Optimal Quantity of Money Consistent with Positive Nominal Interest Rates

The Friedman rule is strongly immune to most model modifications although it has not actually been observed. The Friedman rule implicitly assumes that a government is perfectly under the control of the representative household. This paper shows that, if a government is not perfectly under the control of the representative household, but also pursues political objectives, the optimal quantity of money generally is accompanied by positive nominal interest and inflation rates through the simultaneous optimization of government and the representative household. The fact that nominal interest and inflation rates are usually positive conversely implies that a government usually pursues political objectives.