This paper extends the Kiyotaki-Wright search model of hat money to al
low for divisible money and goods. The extension allows me to examine
the standard issues in monetary economics, such as the neutrality and
superneutrality of money, by severing the artificial link in the Kiyot
aki-Wright model between the money supply and the number of money hold
ers. It is shown that money is neutral, but not superneutral. Money gr
owth generates a trading opportunity effect: it changes the fraction o
f different agents in the economy and hence changes the probability wi
th which agents have a successful match. In addition, money growth has
a negative effect on the real money balance that is familiar in Walra
sian monetary models. The balance of the two effects can imply a posit
ive optimal money growth rate.