This paper examines the distribution of output around capacity when mo
ney demand is a nonlinear function of the nominal interest rate such t
hat nominal interest rates cannot become negative. When fluctuations i
n output result primarily from disturbances to the money market, the v
ariance of output is shown to be an increasing function of the trend i
nflation rate. When they result from disturbances to the goods market,
the variance of output is a decreasing function of the trend inflatio
n rate. When both disturbances are significant, there exists, in gener
al, a critical non-zero trend inflation rate that minimizes the varian
ce of output. (C) 1998 Elsevier Science B.V. All rights reserved.