W. Maliszewski
CASE Foundation
10
be credible. If the zero inflation commitment is not binding, people realise that
policymakers can fool them by selecting higher inflation once the expectations have
been set. Because expected loss from “cheating” is lower than from sticking to the
rule, policymakers have always incentive to do so. Accordingly, people expect
positive inflation rate. If policymakers select zero inflation in this case, the outcome is
even worse than the discretionary equilibrium because the actual inflation rate is lower
than expected and the rate of unemployment is higher than natural. Thus policymakers
are forced to choose positive inflation rate.
The model is based on the employment motive for monetary expansion
(policymakers care about inflation and employment in the loss function) but it can be
easily extended to any other “temptation” described in sections 1.2-1.4. If the revenue
motive is considered (Barro 1983), the value of the policymakers' loss function
increases with the actual and expected inflation and decreases with the amount of
seignorage. In this case, it is minimised subject to the function linking seignorage
revenues with the money growth and inflationary expectations. If the Government
values these revenue much more than the benefits from the low inflation, the rate of
monetary expansion (and inflation) will be excessive. The seignorage revenue will be
lower than could be if the money growth was decreased. This result is similar to the
inflationary bias in case of the employment motive. Policymakers are not able to
commit themselves to the optimal monetary expansion and have to inflate more than
desired to achieve the policy goals.
Similar mechanism leads to the inflationary bias when the balance of payment
motive is considered (Cukierman 1992). In this case the first element in the loss
function is a (squared) deviation of the balance of payment from the desired level and
the second element is a (squared) rate of inflation. It is assumed that the purchasing
power parity holds and that the price level is solely determined by the nominal
exchange rate. The model is slightly more complicated than previous ones since
income effects of the devaluation are taken into account (namely the increase in
income and change in value of government debt hold by private agents). However, the
main conclusions are similar. If the government cannot precommit itself to the fixed
exchange rate, people expect devaluation and the inflationary bias arises.
All results show the time inconsistency problem in the monetary policy. In the
absence of credible precommitments, rule-based policy is optimal but time-
inconsistent while discretionary policy is time-consistent but suboptimal. The
monetary policy is subject to inflationary bias.
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