Does monetizing a deficit always result in a higher rate of inflation
than bond financing the same deficit? Sargent and Wallace (1981) produ
ced conditions under which the answer was negative ('unpleasant moneta
rist arithmetic'). Subsequent authors have challenged the empirical va
lidity of these conditions. We develop a model similar to that of Sarg
ent and Wallace and modify it to allow for financial intermediation. I
n the presence of reserve requirements, unpleasant arithmetic arises e
ven when the real rate of growth exceeds the real return on bonds. Mor
eover, under empirically plausible restrictions, there exists a unique
equilibrium; no Laffer curve considerations arise.