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Neo-Fisherianism

James Bullard
President and CEO, FRB-St. Louis
Expectations in Dynamic Macroeconomic Models
University of Oregon
13 August 2015
Eugene, Oregon
Any opinions expressed here are my own and do not necessarily reflect those of the Federal Open Market Committee.

Introduction

Purpose of the talk
This talk considers “neo-Fisherianism,” a topic of academic
interest, especially within the macroeconomics learning
literature.
The direct links between this topic and current monetary
policy are limited.
Neo-Fisherianism may, however, prove to be an important
consideration for monetary policy in the medium and longer
term.

Background
The Fisher equation is central to macroeconomics.
Benhabib, et al., (2001) combined the Fisher equation with a
Taylor-type policy rule and the ZLB.
They argued that global analysis reveals a second,
“unintended” steady state characterized by near-zero shortterm nominal interest rates and low or negative inflation.
Bullard (2010) argued that unmitigated ZIRP may cause
convergence to this unintended steady state.
The learning literature says otherwise.

Neo-Fisherianism
The idea that the Fisher equation could dictate the
convergence dynamics over the medium or longer term has
come to be called “Neo-Fisherian.”
The core idea is that maintaining and committing to ZIRP for
a sufficiently long period of time could lead to low inflation
expectations and low actual inflation.
 Garcia Schmidt and Woodford (2015, slides) verify this
possibility under RE in a standard NK model.

For a discussion, see John Cochrane’s blog, “The NeoFisherian Question,” November 6, 2014, and July 14, 2015.

This talk
Japan has been the poster child for the low nominal interest
rate, low inflation (LL) steady state for two decades.
 This motivated the original BSU (2001) “perils” paper.

In this talk I will look informally at the state of more recent
empirical evidence for convergence to the LL steady state
across key developed economies.
This evidence is arguably pointing toward LL convergence.
The macro learning literature results tend to be at odds with
this empirical evidence.

Benhabib, Schmitt-Grohe, and Uribe

What Benhabib, et al. (2001) said
Policymakers control a short-term nominal interest rate.
Policymakers are rigidly committed to a Taylor-type rule
with inflation as the single argument.
 (How does this mesh with unconventional monetary policy?)

The rule obeys the Taylor principle: The policy rate responds
more than one-for-one with deviations of inflation from
target near the “targeted” steady state.
The zero lower bound constrains the policy rate from below.
Result: Models with these features have a LL steady state.

The U.S. and Japan through the lens of BSU (2001)

Source: OECD’s Main Economic Indicators and author’s calculations. Last observation: June 2015.

How relevant is the LL steady state?
Financial markets tend to put high weight on the possibility
of convergence to LL.
 August 10, 2015 news item: A survey at a recent gathering of
Wall Street professionals said 78 percent are “more worried
about deflation than inflation.”

The learning literature and policymakers tend to put low or
zero weight on convergence to LL.
 The LL steady state tends to be unstable under standard
learning analyses—a sort of “victory” for the learning
literature.

Some sample academic literature
Werning (2012): NK model has no LL steady state included,
yet analyzes R=0 and associated dynamics.
Garcia Schmidt and Woodford (2015, slides): LL in NK
model is a RE curiosum, and a reasonable departures from
RE suggest it is not a relevant medium-term outcome.
Evans (2013): Alternative NK model with LL as a locally
stable “stagnation regime” under learning.
Schmitt-Grohe and Uribe (2013): Alternative NK model
under RE includes LL in which raising the policy rate raises
inflation.

Slaves to the NK abstraction?
Departures from the NK model may fit the data better.
The stability properties of these equilibria under learning are
unknown.
Andolfatto and Williamson (2015): Assume RE. Allow for
liquidity premia on bonds and possible asset shortages. LL
can be persistent.
Caballero and Farhi (2015): Assume RE. Shortage of safe
assets. LL can be persistent.
Eggertsson and Mehrotra (2014): “Secular stagnation” under
RE.

The Recent Time Series Evidence

The recent time series evidence
Let’s consider a schematic representation of the two BSU
steady states.
Assume an inflation target of 2 percent across countries.
Assume a short-term steady state real interest rate of 1
percent for all countries.
Use headline inflation measured from one year earlier from
the OECD main economic indicators for comparability.
 inflation rates have been smoothed using a MA(5) filter.

In these charts, the policy rate is on the left axis and inflation
is on the right axis, and the difference in scale is the real rate.

Japan
Japan has spent a lot of time near the LL steady state since
1995.
Japan did not have an inflation target until recently.
Abenomics dates from the political rise of Shinzo Abe
beginning in late 2012.
The BOJ “QQE” program has arguably had an important
impact and may be moving inflation closer to the 2 percent
target.

Japan

Source: OECD’s Main Economic Indicators and author’s calculations. Last observation: June 2015.

U.S.A.
The U.S. had inflation above target as of January 2012, but
has since seen inflation decline.
The Fed pursued unconventional monetary policy following
the crisis, once beginning in 2010 and again beginning in
2012.
The most recent program ended in 2014.
Those programs have left the Fed with a $4.5 trillion balance
sheet.

United States

Source: OECD’s Main Economic Indicators and author’s calculations. Last observation: June 2015.

Euro area
Euro area inflation was above target as of 2012, but has also
declined since that time.
The ECB generally resisted unconventional monetary policy,
either forward guidance or quantitative easing, until this year.
Key motivation: Inflation was falling far below target.
The current ECB QE program is expected to continue until
September 2016.
Main development in the global economy in the last two
years is that the Euro Area has begun to look more like
Japan.

Euro area

Source: OECD’s Main Economic Indicators and author’s calculations. Last observation: June 2015.

United Kingdom
The United Kingdom generally has been thought to be less
affected by neo-Fisherian concerns.
Inflation has generally been above target since 2008.
Recently, however, inflation has fallen to low levels.

United Kingdom

Source: OECD’s Main Economic Indicators and author’s calculations. Last observation: June 2015.

Sweden
Let’s look at some smaller open economies.
The Riksbank raised rates to combat rising inflation during
2011 and 2012, but inflation then fell considerably below
target.
Inflation has stabilized at zero over the last two years, and the
Riksbank has experimented with negative policy rates
recently.

Sweden

Source: OECD’s Main Economic Indicators and author’s calculations. Last observation: June 2015.

Switzerland
The Swiss economy has arguably been almost as close to the
LL steady state as Japan over the last decade.
Swiss inflation has been zero or negative for 3.5 years.
The SNB has also experimented with negative policy rates.

Switzerland

Source: OECD’s Main Economic Indicators and author’s calculations. Last observation: June 2015.

Lessons from this evidence
The policy rates in these countries have been near zero for
most or all of the last 6.5 years.
Conventional NK theory suggests higher inflation should
have materialized, and on a time scale far shorter than 6.5
years.
Let’s assess whether these countries are closer today to the
targeted steady state or the LL steady state.
Let’s use Euclidean distance in the policy rate and the
inflation rate.

Distances from steady states in June 2015
High s.s.

Low s.s.

United States

3.52

0.97

Japan

3.04

2.20

Euro area

3.68

1.05

United Kingdom

3.23

1.10

Sweden

3.77

0.94

Switzerland

5.13

1.15

Source: OECD’s Main Economic Indicators and author’s calculations. Last observation: June 2015.

Distance from the LL steady state
The table indicates that as of June 2015, all countries are
better described as close to the LL steady state than the
targeted steady state.
Some of this is because policy rates remain near zero.
One could interpret recent QQE in Japan and QE in Europe
as indicating that policymakers intend to remain at the zero
policy rate for quite some time into the future.
This commitment may be long enough to strengthen neoFisherian dynamics.

Further Considerations

Bottom line
The bottom line is that a case can be made that the LL steady
state has, in an empirical sense, a basin of attraction.
This conflicts with the general result from the learning
literature that the LL steady state is locally unstable.
There are of course many other possibilities.
The standard NK model may not be the right abstraction, as
Evans, Andolfatto-Williamson, Caballero-Fahri, EggertssonMehrotra, Schmitt-Grohe-Uribe and others suggest.
Also, other global factors may be important. One is the price
of oil.

Oil price shock in 2014 has affected inflation

Source: Energy Information Administration and Haver Analytics. Last observation: week of August 7, 2015.

Extent of the oil price effect on measured inflation
I have argued in interviews and commentary that the Fed
should look through the oil price shock and expect inflation
to rise in the coming quarters and years.
A rigorous measure of smoothed inflation like the Dallas Fed
trimmed-mean PCE inflation rate suggests headline inflation
may be closer to target soon.
The Atlanta Fed’s “sticky price CPI inflation” measure is
somewhat above target. True believers in NK theory would
target sticky price inflation (see Eusepi et al., 2011).
 One has to adjust for differences in CPI vs. PCE inflation.

Smoothed measures of U.S. inflation

Source: FRB Atlanta and FRB Dallas. Last observation: June 2015.

Smoothed measures of inflation were lower in 2010
In the summer of 2010, I began arguing via the “seven faces”
paper that inflation was “too low.”
At that time, even smoothed measures of inflation had fallen
below 1 percent.
This is apparent in the previous chart.
Today, smoothed measures of inflation look less threatening,
bolstering the case that policymakers may be wise to expect
temporary influences on headline inflation to abate.

Inflation expectations
The neo-Fisherian story requires that inflation expectations
tend to fall as the ZIRP policy continues.
Central banks like the Fed have put heavy weight on the idea
that actual inflation expectations are well-anchored.
One way to look at inflation expectations is to consider TIPSbased measures.
 For many countries considered here, 10-year expected inflation
is below 2 percent. The exception is the U.K.

Inflation expectations generally below target

Source: Bloomberg. Last observation: August 11, 2015.

Longer-term bond yields
The neo-Fisherian story would also suggest that nominal
bond yields should decline over time as expected inflation
and possibly inflation risk premia would tend to move lower
as convergence occurred.
This may be happening.

Bond yields

Source: Financial Times. Last observation: week of August 7, 2015.

Summary

Summary
Policymaker conventional wisdom and NK theory both
suggest low nominal rates should cause inflation to rise.
The simple empirical evidence reviewed here suggests this is
not happening even after 6.5 years of ZIRP.
There are still reasons for maintaining faith in the
conventional wisdom, including a major oil price shock and
arguably anchored inflation expectations.
The general result from the learning literature on the local
instability of the LL steady state seems unhelpful—it predicts
a natural return of inflation.

Future policy
Even if the Fed begins normalization this year, U.S. and other
rates will still be exceptionally low over the medium term.
These very low rates may be pulling inflation and inflation
expectations lower via the neo-Fisherian mechanism.
For now, I am willing to argue that current inflation is low in
part due to temporary commodity price movements, and that
inflation expectations remain well anchored.
If the neo-Fisherian effect is strong in the quarters and years
ahead, however, we will need to think about monetary policy
in alternative ways.

References
D. Andolfatto and S. Williamson, 2015, “Scarcity of Safe Assets, Inflation, and the Policy
Trap,” FRB of St. Louis Working Paper No. 2015-002A.
J. Benhabib, S. Schmitt-Grohe, and M. Uribe, 2001, “The Perils of Taylor Rules,”
Journal of Economic Theory, 96(1-2), pp. 40-69.
J. Bullard, 2010, “Seven Faces of ‘The Peril’,” FRB of St. Louis Review, 92(5), pp. 339-52.
R.J. Caballero and E. Farhi, 2015, “The Safety Trap,” unpublished manuscript,
Harvard University.
J. Cochrane, 2014, “The Neo-Fisherian Question,” November 6 blog post on
http://johnhcochrane.blogspot.com.
J. Cochrane, 2015, “Garcia Schmidt and Woodford on neo-Fisherian economics,” July 14
blog post on http://johnhcochrane.blogspot.com.
G.B. Eggertsson and N.R. Mehrotra, “A Model of Secular Stagnation,” NBER Working
Paper No. 20574.

References
S. Eusepi, B. Hobijn, and A. Tambalotti, 2011, “CONDI: A Cost-of-Nominal-Distortions
Index,” American Economic Journal: Macroeconomics, 3(3), pp. 53-91.
G. Evans, 2013, “The Stagnation Regime of the New Keynesian Model and Recent US
Policy, Ch. 3 in Macroeconomics at the Service of Public Policy, ed. by T.J. Sargent
and J. Vilmunen, Oxford University Press.
M. Garcia Schmidt and M. Woodford, 2015, “Are Low Interest Rates Deflationary? A
Paradox of Perfect-Foresight Analysis,” unpublished manuscript, Columbia
University.
S. Schmitt-Grohe and M. Uribe, 2013, “The Making of Great Contraction with a Liquidity
Trap and A Jobless Recovery,” unpublished manuscript, Columbia University.
I. Werning, 2012, “Managing a Liquidity Trap: Monetary and Fiscal Policy,” unpublished
manuscript, MIT.

Federal Reserve Bank of St. Louis
stlouisfed.org

Federal Reserve Economic Data (FRED)
research.stlouisfed.org/fred2/

James Bullard
research.stlouisfed.org/econ/bullard/