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N OMINAL GDP TARGETING AS “O PTIMAL
M ONETARY P OLICY FOR THE M ASSES ”
James Bullard, Federal Reserve Bank of St. Louis
Riccardo DiCecio, Federal Reserve Bank of St. Louis

Strategies for Monetary Policy: A Policy Conference
Policy Panel on “Monetary Strategies in Practice”
Hoover Institution, Stanford University
May 3, 2019
Stanford, Calif.
Any opinions expressed here are our own and do not necessarily reflect those of the FOMC.

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Introduction

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NGDP

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TARGETING AS A FRAMEWORK

Nominal GDP (NGDP) targeting is sometimes recommended based on New
Keynesian models—e.g., see Woodford (remarks at the Economic Policy Symposium
in Jackson Hole, 2012).
Today I will look at NGDP targeting as optimal monetary policy in a different type of
model.
While the models are different, the policy recommendation is similar, which suggests
that NGDP targeting may be a relatively robust approach to optimal monetary policy.
I am hopeful that the results reported here will stimulate more research and that ideas
related to price-level targeting and NGDP targeting will continue to gain influence in
actual monetary policy deliberations.

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W HAT WE DO IN OUR

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PAPER

We construct a stylized economy with important private credit markets along with
considerable wealth, income and consumption inequality (see Bullard and DiCecio,
Working paper, St. Louis Fed, 2019).
The role of monetary policy in this model is to make sure private credit markets are
working correctly (i.e., complete).
Optimal monetary policy in this model looks like “NGDP targeting”—that is,
countercyclical price-level movements.
This result continues to hold even when there is “massive” heterogeneity—enough
heterogeneity to approximate income, financial wealth and consumption inequality
in the U.S.
Hence, the main result is that NGDP targeting constitutes “optimal monetary policy for the
masses” in this environment.

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Environment

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G ENERAL - EQUILIBRIUM LIFE - CYCLE ECONOMY
Each period, a new cohort of households enters the economy, makes economic
decisions over the next 241 quarters, then exits the economy.
Households have log-log preferences defined over consumption and leisure.
Households are randomly assigned one of many possible personal productivity profiles
when they enter the model.
The intra-cohort distribution is uniform. We obtain similar results using a lognormal
distribution, i.e., in an economy with arbitrarily rich and poor households.

The profile is symmetric—it begins low, rises and peaks exactly in the middle of life, then
declines back to the low level.
Productivity units determine the value of an hour worked in a competitive labor market.
The aggregate production technology is linear, and the economy grows over time at a
stochastic rate.
The effective lower bound can also be incorporated (Azariadis et al., JEDC, 2019).

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H OUSEHOLD CREDIT

The overlapping-generations structure creates a large private credit market essential
to good macroeconomic performance.
Young households want to borrow to move consumption forward in the life cycle,
while middle-aged households wish to save for retirement.
The private-sector asset in the model can be thought of as “mortgage-backed securities.”

There is a friction in the credit market: non-state contingent nominal contracting.

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Equilibrium

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T HE EQUILIBRIUM MONETARY POLICY CREATES
The monetary policymaker follows an NGDP targeting rule that delivers
complete-markets consumption allocations—similar to Koenig (IJCB, 2013) and
Sheedy (BPEA, 2014).
Given this policy rule, households consume equal amounts of available production
conditional on their productivity; this is called “equity share contracting,”and it is
optimal under homothetic preferences.
The NGDP targeting rule works because it provides a form of insurance for all
households against future aggregate shocks.
Income, consumption and asset holdings fluctuate from period to period but in
proportion to the value of the real wage.
All households experience the same stochastic consumption growth rate.

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T HE W ICKSELLIAN NATURAL REAL RATE OF INTEREST

The equilibrium we study has the following property:
The real interest rate is exactly equal to the output growth rate at every date, even in the stochastic
economy.

One could think of this as “the Wicksellian natural real rate of interest.”
The proper conduct of monetary policy could be thought of as restoring this
Wicksellian real rate, which also characterizes optimal monetary policy in the
baseline New Keynesian model.
In this sense, the two types of models come to the same conclusion about the nature
of optimal monetary policy.

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WORKED OVER THE LIFE CYLE

1

0.5

0

0

60

120

180

240

quarters
F IGURE : Cross section: Leisure decisions by age (green), labor supply by age (blue) and fraction of
work time in U.S. data, 19% (red). The labor/leisure choices depend on age only. High-income
households work the same hours as low-income households at each age.

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C ONSUMPTION MASS

F IGURE : Cross section: Consumption mass (red) and labor income mass (blue) along the
complete-markets balanced growth path. Under optimal monetary policy, the private credit market
reallocates uneven labor income into perfectly equal consumption for each productivity profile. The
consumption Gini is 31.8%, similar to values calculated from U.S. data.
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ASSET HOLDING MASS

F IGURE : Cross section: Net asset holding mass by cohort along the complete-markets balanced
growth path. Borrowing, the negative values to the left, peaks at stage 60 of the life cycle (age ∼ 35),
while positive assets peak at stage 180 of life (age ∼ 65). The financial wealth Gini is 72.7%, similar
to values calculated in U.S. data.
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Inequality

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I NEQUALITY IN THE MODEL
There is a large amount of heterogeneity in the model that depends in part on
life-cycle productivity dispersion and in part on the life cycle itself.

U.S. data
Model

Wealth
80% 1
72.7% 4

Income
51% 2
51.6% 5

Consumption
32% 3
31.8%

TABLE : Gini coefficients in the U.S. data and in the model.
1 Davies, Sandström, Shorrocks and Wolff, EJ, 2011.
2 CBO, 2016.
3 Heathcote, Perri and Violante, RED, 2010.
4 Wealth is defined as the non-negative part of net assets.
5 Income is defined as labor income plus non-negative capital income.

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Policy

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NGDP TARGETING

No persistence in shocks to the Wicksellian natural rate: The expected rate of NGDP
growth never changes, and the economy never deviates from the NGDP path.
“Perfect NGDP targeting.”
Persistence in shocks to the Wicksellian natural rate: The expected rate of NGDP
growth fluctuates persistently with the shock, and it takes longer to return to the
NGDP path.
Actual policy looks “ordinary” in that both nominal and real rates fall in a recession.

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OF A SHOCK
1.06
1.02
1.04
1
1.02
0

5

10

0

quarters

5

10

quarters

1.4

1.06

1.2

1.04
1.02

1
0

5

quarters

10

0

5

10

quarters

F IGURE : Monetary policy responds to a decrease in aggregate productivity growth by increasing the
inflation rate in the period of the shock. Subsequently, inflation converges to its long-run
equilibrium value from below. The nominal interest rate drops in the period after the shock.

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Conclusions

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C ONCLUSIONS
Actual households have peak earning years, so they have to use credit markets to
smooth life-cycle consumption.
In this paper, we study a simple and stylized economy where these credit markets do
not work perfectly because of a friction called “non-state contingent nominal
contracting.”
The monetary authority can repair the distortionary effects of this friction by
conducting monetary policy in a manner recommended by Koenig (IJCB, 2013) and
Sheedy (BPEA, 2014)—NGDP targeting.
In doing so, the monetary authority restores the Wicksellian natural real rate of
interest, which is the real rate of interest that would occur if there were no frictions in
the economy.
This NGDP targeting policy works well for all households in this economy—young
and old, rich and poor—because they all face a life-cycle consumption smoothing
problem. Thus, it is “optimal monetary policy for the masses.”
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