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P OLICY ADVICE

U NEMPLOYMENT

R AVENNA AND WALSH

A FEW EQUATIONS

R EACTIONS

S OME U NPLEASANT I MPLICATIONS FOR
U NEMPLOYMENT TARGETERS
James Bullard
Federal Reserve Bank of St. Louis

22nd Annual Hyman P. Minsky Conference
New York, N.Y.
17 April 2013
Any opinions expressed here are my own and do not necessarily reflect those of others on the Federal Open Market Committee.

C ONCLUSION

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Policy advice

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N EW K EYNESIAN POLICY ADVICE
The “New Keynesian” (NK) macroeconomics literature has been
extraordinarily influential.
The literature assumes “sticky prices” to be the key problem
facing the economy.
The idea is that prices do not adjust appropriately to reflect
changing supply and demand conditions. Controversial.

A central bank that controls a short-term nominal interest rate
can mitigate the sticky price problem and improve
macroeconomic outcomes.
At the zero lower bound, the central bank can still operate
effectively through “forward guidance.”

The Fed has experimented with this policy advice.

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P RICE STABILITY
The essence of the NK policy advice is to keep inflation close to a
prescribed inflation target.
The FOMC adopted an inflation target in January 2012, and was
perceived to have one much earlier.
Technically, the policy advice is to maintain a price level path
consistent with the inflation target.
Has the Fed maintained such a price level path?
Yes!
I have called this “A Singular Achievement of Recent Monetary
Policy.”
Theodore and Rita Combs Distinguished Lecture, University of
Notre Dame, September 20, 2012.

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T HE PRICE LEVEL PATH SEEMS APPROPRIATE

Source: Bureau of Economic Analysis. Last observation: February 2013.

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A CTUAL POLICY

Conclude: Actual FOMC monetary policy since 1995 seems to
have mimicked the policy advice emanating from the NK
literature.
This is despite all that happened during this 18-year period.
However ...
... the standard NK model does not have unemployment, and ...
... today’s level of unemployment is high ....

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Unemployment

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U NEMPLOYMENT

The unemployment rate remains high by historical U.S.
standards.
It has declined from its post-recession peak level at a rate of
about 7/10 of 1 percent per year.
This occurred during several years of relatively weak economic
growth.
Very similar to the U.S. experience from June 1992 to June 1994 and
again from June 2003 to June 2005.

At this pace, the unemployment rate will be in the low 7 percent
range by the end of 2013.

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D ECLINING UNEMPLOYMENT

Source: Bureau of Labor Statistics. Last observation: March 2013.

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M AIN QUESTION

Should the Fed adopt a policy rule that “puts more weight” on
unemployment?
The surprising answer: “No,” based on the current state of knowledge
on this matter.
The remainder of this talk will be devoted to trying to
understand this finding.

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Ravenna and Walsh

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PATH TO AN ANSWER
I consider recent research by Federico Ravenna (Institute of
Applied Economics, HEC Montreal) and Carl Walsh (University
of California, Santa Cruz).
Their state-of-the-art paper is: “Welfare-Based Optimal
Monetary Policy with Unemployment and Sticky Prices: A
Linear-Quadratic Framework.”
It was published April 2011 in the American Economic Journal:
Macroeconomics, 3(2), pp. 130-62.
They calculate fully optimal monetary policy in a model that
explicitly includes sticky prices and search-based
unemployment.
They have also sharpened their conclusions in more recent work.

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W HY THIS PARTICULAR PAPER ?
Ravenna and Walsh (RW) designed the research effort to
carefully address the following issues:
We want to know if the standard “maintain price stability” advice
survives in a NK economy with explicitly-modeled
unemployment.
Unemployment is a relatively difficult topic in macroeconomics.
One has to move toward search-based ideas.
Peter Diamond, Dale Mortensen, and Christopher Pissarides were
cited in this area for their Nobel Prize.

We want to know what the households living inside the model
would want the policymaker to do.
What would be the best monetary policy from the point of view of a
household facing both sticky prices and unemployment?

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T HE R AVENNA AND WALSH ECONOMY

The Ravenna-Walsh economy has both sticky price and labor
search frictions.
This means:
1

2

Prices do not move one-for-one with changes in supply and
demand, and
It is hard to find a job.

We know that if the economy only had the sticky price problem,
the optimal policy is close to price stability.
How will this advice change when labor search frictions are an
explicit part of the macroeconomic landscape?

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W HAT R AVENNA AND WALSH FOUND

With unemployment explicitly in the model, one might expect
that the optimal monetary policy would partly try to mitigate the
sticky price problem and partly try to mitigate the labor search
problem.
But this is not the case.
The optimal policy is still very close to price stability, even with
unemployment explicitly in the model.
The policymaker still does best by following the maxim, “keep
inflation as close to target as is practicable.”
Attempts to “put more weight” on unemployment may be
highly counter-productive.

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I NTERPRETING R AVENNA AND WALSH

I take the advice from the Ravenna and Walsh (2011) analysis as
an important baseline for contemporary U.S. monetary policy.
In the remainder of this talk, I will:
discuss some key aspects of their analysis, including more recent
work that sharpens some of their conclusions.
The essential problem is that monetary policy is not a good tool to
address labor market inefficiency.

address some some possible reactions to this work.

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A few equations

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T WO EQUATIONS

The key linearized equations in RW can be written as
ũt+1

=

β
1
Et ũt+2 +
ũt
1+β
1+β

πt

=

βEt π t+1

1
r̃t
σ̂

χũ ũt+1 + χr̃ r̃t + χb̂ b̂t .

(1)
(2)

Variables: π t is the deviation of inflation from target, and
ũt = (ût ûet ) is the unemployment gap.
Shocks: r̃t = (ı̃t Et π t+1 ) is the real interest rate gap, and b̂t is a
shock to workers’ surplus share.
Parameters: β, σ̂, χũ , χr̃ , χb̂ .

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K EY FEATURES

The equations are forward-looking as they depend on
households’ views of the future.
Inflation is expressed as a deviation from the target level.
Unemployment is expressed as a deviation from the level that
would prevail if prices were perfectly flexible.
Ravenna and Walsh (2011) remark: “Thus, neither the level of
unemployment nor simply the level of the unemployment gap
correctly measures the appropriate objective of monetary policy.”

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W HAT DO HOUSEHOLDS WANT ?

The households in this economy have to cope with sticky prices
and unemployment.
How can the monetary policymaker help?
RW show that the households want the monetary policymaker to
minimize a loss function which depends on inflation variability,
consumption variability, and a term involving labor market
tightness—the number of vacancies per unemployed.
The labor market tightness term is what is new in this paper.
This extra term is exactly what one would expect by carrying the
analysis in this direction.

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W HAT SHOULD MONETARY POLICY DO ?

RW turn to studying optimal monetary policy via changes in the
nominal interest rate.
The main finding is that the policy advice remains “price
stability."
That is, the policymaker should still “keep inflation as close to
target as is practicable.”
Expressed as a Taylor-type rule, it would mean putting almost all
the weight on the inflation term.

RW suggest that deviating from this policy can lead to
substantially worse outcomes for households.

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M ORE WEIGHT ON UNEMPLOYMENT ?

The idea that the Fed should “put more weight” on
unemployment does not fare well in this analysis.
Such an approach may be highly counter-productive.

C ONCLUSION

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S TILL MORE RESEARCH

Why do Ravenna and Walsh obtain this finding? What is the
intuition?
RW have another paper, “Monetary Policy and Labor Market
Frictions: A Tax Interpretation,” (Journal of Monetary Economics,
2012).

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S OURCE OF THE PROBLEM
In this paper RW ask:
“Why is price stability close to optimal even when labor market
distortions are present?”

Here is the short explanation:
The monetary policymaker has only one tool in this model
(changes in the short-term nominal interest rate).
But the model with labor market frictions has multiple distortions.
Attempts to address the various labor market inefficiencies solely
with monetary policy do not work very well, because
improvements on one dimension are simultaneously detriments on
other dimensions.
This means that other policy tools are needed.
“Other policy tools” could be interpreted as more direct labor
market policies.

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Reactions

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T HE ZERO LOWER BOUND

The Ravenna and Walsh findings do not incorporate an analysis
of monetary policy at the zero lower bound (ZLB).
However, the RW argument is that even a completely
unconstrained monetary policy cannot effectively address labor
market inefficiencies.

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T HIS IS JUST ONE MODEL

The Ravenna and Walsh (2011) paper is certainly not the last
word on these issues.
However, it does have some advantages over other current work:
Search-theoretic unemployment explicitly included.
Comparability to standard results from New Keynesian literature.
Household happiness with policy is evaluated through utility of
those living inside the model.
Calibrated to U.S. data, but results likely to hold across alternative
parameter settings.

I think the RW results should be considered as an important
benchmark for contemporary monetary policy.

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Conclusion

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P RICE STABILITY

The standard policy advice emanating from the influential New
Keynesian macroeconomics literature is “price stability.”
Practically speaking, this means “focus on keeping inflation close
to target.”
The FOMC has followed this advice in broad terms since 1995.

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L ABOR MARKET POLICIES
The current high level of unemployment is causing some to
suggest that the FOMC should “put more weight” on
unemployment in its decision-making process.
However, frontline research suggests that “price stability”
remains the policy advice even in the face of serious labor
market inefficiencies.
This research should provide the benchmark for contemporary
monetary policy.
The essential finding is that monetary policy alone cannot
effectively address multiple labor market inefficiencies, and so
one must turn to more direct labor market policies to address
those problems.