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2003-10

April 11, 2003

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Time-Inconsistent Monetary Policies: Recent Research
Richard Dennis
Discretionary inflation bias
Stabilization bias
Conclusion
References
Over the past 20 years inflation in the U.S. economy has been relatively low, averaging about 2.5%;
moreover, it has been relatively stable, with a standard deviation of just 1.0%. These statistics may give
the impression that inflation has been tamed, or even beaten into submission. However, the period has
not been without inflation scares; consider, for example, the run up in inflation prior to the 1990
recession and the preemptive policy intervention in 1994. Looking back to the 1970s, high inflation was
a very real concern. Following the two oil price shocks of the 1970s, inflation ratcheted up, peaking at
10.5% in 1975 and at 9.6% in 1981. While policymakers could not have prevented the oil price shocks
from occurring, the fact that monetary policy seemed unable to curtail the ensuing inflation was
unsettling. Whether inappropriate monetary policies were pursued in the 1970s is an issue that has
received considerable attention in recent years.
While a number of explanations have been put forward to explain the “great inflation” of the 1970s, one
of the most influential is the time-inconsistency theory advocated by Kydland and Prescott (1977) and
Barro and Gordon (1983). Time-inconsistency describes situations where, with the passing of time,
policies that were determined to be optimal yesterday are no longer perceived to be optimal today and
are not implemented. The key insight that Kydland and Prescott had was that the reason why these
policies would not be implemented also could lead to inflationary policies being implemented in their
place. In other words, time-inconsistency could generate higher inflation.
If one accepts that the time-inconsistency story is a good description of what went on in the 1970s (see
Ireland, 1999, for an empirical analysis), then the relative absence of inflation since the mid-1980s may
suggest that time-inconsistency is not a current problem for policymakers. However, time-inconsistency
can affect more than just the average rate of inflation that prevails in the economy. In particular, it can
influence how policymakers respond to shocks and how resources are allocated through time. This

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Federal Reserve Bank San Francisco | Time-Inconsistent Monetary Policies: Recent Research |

Economic Letter looks at time-inconsistency, describing why the same mechanisms that can lead to
higher average inflation also can hamper policymakers’ efforts to keep inflation stable.
Discretionary inflation bias
To see how Kydland and Prescott (1977) showed that time-inconsistency could lead to excessively high
inflation, suppose that the central bank has the twin goals of trying to keep inflation close to some
target level and unemployment close to the natural rate, the unemployment rate that would prevail in a
world without market imperfections. Now suppose that there are market imperfections, such as
monopolistic competition or union behavior, or distortions caused by fiscal policy, so that the
unemployment rate that clears the labor market is inefficiently high, lying above the natural rate. To
keep unemployment close to the natural rate, the central bank must try to lower unemployment below
the inefficiently high rate that ordinarily clears the labor market. In this model, workers negotiate their
wage rate with firms based on what they expect inflation to be. To the extent that workers correctly
anticipate the inflation rate, the prevailing unemployment rate is the (inefficiently high) market-clearing
rate.
As Kydland and Prescott showed, in this model the central bank’s desire to reduce unemployment to the
natural rate leads to time-inconsistent behavior. Suppose that the inflation target is 2%; the optimal
monetary policy recognizes that workers cannot be systematically fooled and, consequently, that the
unemployment rate cannot systematically depart from the market-clearing rate. Despite its twin goals,
therefore, the best the central bank can do is announce that it will set monetary policy such that
inflation equals 2%, and then follow through on that announcement and let the labor market clear at the
market-clearing level.
But this optimal policy is time-inconsistent and will not be implemented. If workers believe the central
bank’s policy announcement and negotiate a contract with firms providing for a 2% nominal wage
increase, then the central bank’s range of options changes. Instead of following through and
implementing the announced policy, the central bank can create a little more inflation–an inflation
surprise–which lowers workers’ real wages, stimulating firms’ demand for labor. With the nominal wage
rate fixed, the labor market now clears at a lower unemployment rate. Thus, at the cost of slightly
higher inflation, the economy reaps the benefit of lower unemployment. Kydland and Prescott showed
that, in balancing these costs and benefits, the central bank would find it advantageous to create the
inflation surprise and not implement the announced policy.
Of course, workers soon will realize that the central bank’s announcements are not credible, and they will
come to expect higher inflation. And when workers expect higher inflation, it becomes increasingly
costly for the central bank to create an inflation surprise. The equilibrium outcome is for inflation to rise
to the point where the central bank finds that the benefits of any additional inflation surprises are fully
offset by their costs. At this inflation rate, the central bank has no incentive to create an inflation
surprise. But because there are no inflation surprises, workers fully anticipate the inflation rate, and the
labor market does not clear at the natural rate of unemployment: instead the higher market-clearing
rate prevails. Sadly, the fact that the central bank can revisit its announced policy after wages are set
leaves the economy with inefficiently high inflation, but no reduction in the unemployment rate. The
discrepancy between the average inflation rate that occurs and the inflation target is known as the
discretionary inflation bias.
Relating the Kydland and Prescott story back to the 1970s, the oil price shocks drove up firms’
production costs and led to rising unemployment, thereby giving policymakers an incentive to create
inflation surprises. Through policymakers’ efforts to keep the unemployment rate in check, inflation
blossomed; the unemployment rate crept up regardless, particularly following the 1974 oil price shock.
However, the Kydland and Prescott story is more than just a sophisticated way of explaining high

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Federal Reserve Bank San Francisco | Time-Inconsistent Monetary Policies: Recent Research |

inflation; it has other profound consequences. For example, time-inconsistency can affect a
government’s ability to issue nominal debt (bonds) or alter the type of asset that a government uses to
issue debt. The expected real return on nominal debt depends on the purchaser’s expectation of future
inflation. If investors purchase the bonds anticipating a tight monetary policy, and hence lower future
inflation, then they will pay a higher price for the bonds than if they expected a loose monetary policy
and higher future inflation. But while a central bank may promise a tight monetary policy, once the
nominal debt has been issued, the government may pressure the central bank to pursue an
expansionary monetary policy in order to inflate away the real value of the government’s nominal
liabilities. Anticipating the government’s incentives, investors will demand higher rates of return on
government bonds, or they may require that the rate of return on bonds be indexed to inflation
outcomes.
Stabilization bias
But time-inconsistency is not just a phenomenon that produces high inflation rates. Indeed, recent
literature has focused not on the average inflation rate, nor on the discretionary inflation bias, but
instead on how time-inconsistency affects the economy’s transition through time and how it affects
policymakers’ ability to stabilize inflation (Dennis and Söderström 2002). Because time-inconsistent
policies can alter how the economy evolves over time and how the economy responds to shocks, it is
important even in environments where inflation is low.
Consider again a central banker whose objective is to keep inflation close to some target rate and the
unemployment rate close to the market-clearing level. Typically, a central banker must trade these two
objectives off against each other: a negative supply shock, such as an adverse productivity shock or an
oil price shock, raises both unemployment and prices, and moving interest rates to mitigate the
movement in either variable has adverse effects on the other. Recognizing this trade-off, when a supply
shock occurs, the central banker must take a gradual approach, returning inflation to its target rate over
a number of periods, so as not to create unnecessary unemployment. But households’ and firms’
expectations about future inflation are also important because they affect how households and firms
behave today. If households (which are also workers) expect that inflation will be higher in the future,
then they will want to negotiate larger wage increases today, and firms will want to raise their prices
today. So, how should a central banker respond to the higher unemployment and the inflationary
pressure caused by an adverse supply shock, such as an oil price hike?
The answer depends on the assumptions in the model used. However, in many popular sticky-price
models, central bankers should respond to an adverse supply shock by raising interest rates and
promising to keep them high for a prolonged period. Higher interest rates induce households to cut
current consumption and to save for future consumption instead. Facing lower demand for their product,
firms must temper any price increases to avoid losing profits, which moderates current-period inflation.
In addition, the promise to keep interest rates high for a prolonged period causes households and firms
to expect that inflation will be lower in the future than it is today. Because they expect lower future
inflation, households are prepared to negotiate lower nominal wage increases, which further allows firms
to keep price increases down. Thus, through inflation expectations, the promise to keep monetary policy
tight over the foreseeable future helps to reduce current inflation and, if the promised policy is
implemented, future inflation also will be lower. In addition, because the policy tightening is spread out
over time, it does not increase unemployment as much as it would if the tightening occurred all at once.
Unfortunately, this policy is time-inconsistent and will not be implemented. The problem is that the
promise to keep monetary policy tight over the foreseeable future damps the inflationary impact of the
adverse supply shock. But having promised a tight monetary policy, and having secured lower inflation
today, the central banker now has less incentive to implement the promised tight policy in the future.
Realizing that when the future actually arrives the central banker will not implement the tight monetary
policy that it promised, households and firms will expect higher inflation in the future than if the tight

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Federal Reserve Bank San Francisco | Time-Inconsistent Monetary Policies: Recent Research |

policy were implemented. As a consequence, to damp the inflationary effect of the adverse supply
shock, central bankers have to raise interest rates more today, generating more unemployment, than
they would if they could commit themselves to implement the tight policy that they promised. In this
scenario, the effect of the time-inconsistency is called stabilization bias because the time-inconsistency
affects the central banker’s ability to stabilize inflation expectations and hence stabilize inflation itself.
The stabilization bias adds to inflation’s variability, making inflation more difficult for households, firms,
and the central bank, to predict.
To examine whether the stabilization bias caused by a central bank’s inability to commit to its optimal
policy is important, Dennis and Söderström (2002) study a range of macroeconometric models. In these
models, the stabilization bias manifests itself through greater inflation variability and lower output
variability, much as if the central bank had an objective function that underweighted the importance of
inflation stabilization and overweighted the importance of output stabilization. For the models that
Dennis and Söderström looked at, a typical result is that distortions caused by stabilization bias are as
undesirable, and as harmful, as a permanent 1.0 to 1.5 percentage point increase in inflation.
Conclusion
A discretionary inflation bias caused by time-inconsistency is one popular explanation for the great
inflation experienced during the 1970s. If the only effect time-inconsistency had on economic outcomes
were to raise the average inflation rate, then it might appear that, given today’s low inflation rates,
time-inconsistency is not a problem that current policymakers need to contend with. However, as this
Economic Letter has shown, in addition to its impact on the level of inflation, time-inconsistency also has
important consequences for how the economy responds to shocks and for the volatility of inflation,
output, and interest rates. To the extent that time-inconsistency leads to unnecessarily high inflation
volatility and to a misallocation of resources through time, the causes of time-inconsistency and the
associated benefits to precommitment cannot be easily ignored.
Richard Dennis
Economist
References
Barro, R., and D. Gordon. 1983. “Rules, Discretion and Reputation in a Model of Monetary Policy.”
Journal of Monetary Economics 12, pp.101-121.
Dennis, R., and U. Söderström. 2002. “How Important Is Precommitment for Monetary Policy?” FRBSF
Working Paper 02-10. /economic-research/papers/2002/index.html
Ireland, P. 1999. “Does the Time-Inconsistency Problem Explain the Behavior of Inflation in the United
States?” Journal of Monetary Economics 44(2), pp. 279-291.
Kydland, F., and E. Prescott. 1977. “Rules Rather than Discretion: The Inconsistency of Optimal Plans.”
Journal of Political Economy 87, pp. 473-492.
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