Estimating the interest rate semi-elasticity of the demand for money in low interest rate environments

We estimate the time profile of the interest rate semi-elasticity of the demand for money that is theoretically derived from a money-in-the-utility-function (MIUF) model. This semi-elasticity increases to infinity as interest rates fall to zero. Therefore, the use of this semi-elasticity has an advantage when examining the highly interest-elastic demand for money in low interest rate environments. Using Japanese and U.S. data, we find that the semi-elasticity increases exponentially in low interest rate environments. For example, the highest value of the semi-elasticity in Japan is observed in 2005, and is approximately 350 times larger than the value in 1990.