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One Equation to
Understand the Current
Monetary Policy Debate
James Bullard
President and CEO, FRB-St. Louis
Association for University Business and
Economic Research (AUBER)
2016 Fall Conference

Oct. 24, 2016
Fayetteville, Ark.
Any opinions expressed here are my own and do not necessarily reflect those of the Federal Open Market Committee.

1

Introduction

2

Economists love equations
We economists love equations.
I have noticed that audiences tend not to like equations nearly
as much as I do.
To provide a balance between what I like and what you like,
and also to allow for the early morning hour, here we will
look at just one equation.
We will eliminate terms in this equation, one by one, until it
reveals the essence of the current monetary policy debate.

3

A new regime-based approach
The St. Louis Fed recently changed its approach to near-term
U.S. macroeconomic and monetary policy projections.
 J. Bullard, “Normalization: A New Approach,” remarks delivered at the
Wealth and Asset Management Research Conference, St. Louis, Aug. 17,
2016.
 Wharton Business Radio interview, Aug. 12, 2016.
 J. Bullard, “A Tale of Two Narratives,” remarks delivered at the Gateway
Chapter of NABE, St. Louis, July 12, 2016.
 J. Bullard, “A New Characterization of the U.S. Macroeconomic and
Monetary Policy Outlook,” remarks delivered at the Society of Business
Economists Annual Dinner, London, U.K., June 30, 2016.
 J. Bullard, “The St. Louis Fed’s New Characterization of the Outlook for the
U.S. Economy,” Announcement, June 17, 2016.
 All are available on my webpage under “Key Policy Papers.”

4

This talk
In this talk, I will discuss how a single equation can describe
much of the state of the current monetary policy debate, and
simultaneously, how the St. Louis Fed’s new approach fits
within this one-equation format.
The bottom line: Low interest rates are likely to continue to
be the norm over the next two to three years.

5

The Monetary Policy Problem

6

How should the policy rate be set?
The Federal Open Market Committee (FOMC) operates by
setting a short-term nominal interest rate, which I will call the
policy rate. This rate then influences all other nominal
interest rates.
The current policy rate setting is just 38 basis points,
extraordinarily low by postwar historical standards.
The FOMC is considering raising the policy rate to a
somewhat higher level.
The St. Louis Fed’s rate path projection is much flatter than
the rest of the Committee.

7

The policy rate path dichotomy

Source: Federal Reserve Board and author’s calculations. Last observation: September 2016.

8

The Taylor-type policy rule
John Taylor of Stanford University is famous for his work on
what has come to be known as the “Taylor rule.”
This rule provides a recommended setting for the FOMC’s
policy rate based on current values of observable
macroeconomic variables.
In some macroeconomic analyses, versions of the Taylor rule
can provide an approximation to optimal monetary policy.
 The rule is very credible in this sense.

I will use a version of Taylor’s equation to guide our
discussion of why rates are so low today.

9

The Taylor rule as a simple equation with four terms
A Taylor-type rule can be written as:
i = r† + π * + ϕπ π GAP + ϕu u GAP
On the left-hand side is the object of interest, the short-term
nominal policy rate set by the FOMC, denoted as i. The
equation recommends a current value for i.
On the right-hand side are four terms. The point of this talk
is to argue that one of these terms, r† , is most interesting in
the current macroeconomic environment.
The parameters ϕπ and ϕu are positive constants that will not
matter for the argument made here, so they can be ignored.

10

Gaps Close to Zero

11

Eliminating gap terms
We have the Taylor rule written as:
i = r† + π * + ϕπ π GAP + ϕu u GAP
The last term on the right, u GAP , represents the distance
between the unemployment rate and what the Committee
views as a normal rate of unemployment.
This gap is essentially zero today, so this term falls out of the
calculation.
Broader measures of labor market performance, as captured
in a labor market conditions index, also suggest good labor
market performance.

12

Unemployment has declined to a low level

Source: Bureau of Labor Statistics and author’s calculations.
Last observation: September 2016.

13

Eliminating gap terms
Now we have the Taylor rule written as:
i = r† + π * + ϕπ π GAP
The last term on the right is now π GAP , which represents the
distance between the current inflation rate and the
Committee’s inflation target of 2 percent.
Inflation has been below target in recent years, due in part to
commodity-price effects. Net of those effects, this gap is
relatively close to zero today as well.
As a consequence, this term also falls out of the calculation.

14

Smoothed measures of U.S. inflation are close to 2 percent

Source: Bureau of Labor Statistics, FRB Cleveland, FRB Atlanta, Bureau of Economic Analysis, FRB Dallas
and author’s calculations. Last observations: August 2016 (PCE) and September 2016 (CPI).

15

The inflation target term
Now we have the Taylor rule written with just two terms on
the right-hand side:
i = r† + π *
The last term on the right is now π*, which is the easiest term
of all—it is just the inflation target of 2 percent.
I want to talk in terms of basis points—one basis point is one
one-hundredth of a percent.
Therefore, I will put in 200 for the inflation target.
This leaves only r† to be deciphered.

16

The Short-Term Real Interest Rate

17

The real interest rate term
The Taylor rule is now just:
i = r† + 200
The term r† on the right is the real interest rate on safe, shortterm assets like short-term government debt.
While the Fed is thought to be able to influence real rates
over short periods of time, perhaps a few quarters, over
longer time periods real rates are determined by market
forces.

18

Measuring the real interest rate
One simple way to measure the real return on short-term safe
assets is to consider the one-year nominal Treasury security
and subtract a one-year smoothed inflation rate from it.
This produces an ex-post one-year real return on a safe asset.
There are other methods of calculation, but this one is simple,
model-free, and uses a relatively short maturity that allows
use of year-over-year inflation measures.

19

Real rate of return on short-term government debt, r†

Source: Federal Reserve Board, FRB of Dallas and author’s calculations. Last observation: August 2016.

20

Real returns are a lot lower than they used to be
The real rate of return on safe assets measured this way has
been more than 200 basis points lower in recent years as
compared to the 2001-2007 expansion.
This goes a long way toward explaining why the policy rate
is low today.
Furthermore, it seems unlikely that the real rate of return on
safe assets will return to its historical level over the next two
to three years.
At the St. Louis Fed, we call this a “low-real-safe-rate
regime.”

21

What does the Taylor-type rule recommend?
I have argued that the gap terms in the Taylor-type rule are
small.
I have also argued that the r† term is low and is unlikely to
change over the forecast horizon.
The Taylor-type rule now reads
i = -134 + 200 = 66
The St. Louis Fed’s conclusion is that a single 25-basis-point
increase in the policy rate–from 38 to 63 basis points–will get
us very close to the Taylor rule value over the forecast
horizon.

22

Why Are Real Returns Low?

23

Other aspects of the current regime
The reasons behind the exceptionally low real rate of return
on safe assets have been widely debated.
I have three remarks on this issue:
 Real rates of return on safe assets have been declining relative
to the real return on capital in the U.S. for several decades.
 We are in a low-productivity-growth regime in the U.S., which
is putting downward pressure on real safe rates of return.
 We are also in a high-liquidity-premium regime, in which
investors are willing to pay premium prices for safe assets like
government debt. This is also putting downward pressure on
real safe rates of return.

24

Real returns on capital and safe assets

Source: P. Gomme, B. Ravikumar and P. Rupert. Secular Stagnation and Returns on Capital. FRB of St. Louis
Economic Synopses No. 19, 2015; Federal Reserve Board, FRB of Dallas and author’s calculations.

25

The high- and low-productivity-growth regimes

Source: Bureau of Labor Statistics, Bureau of Economic Analysis and author’s calculations.
Last observation: 2016-Q2.

26

Conclusion

27

Conclusion
I used a single equation, a Taylor-type policy rule, to
illustrate a key issue in the current monetary policy debate.
Because unemployment and inflation are relatively close to
their long-run values, the recommended policy rate from a
Taylor-type rule depends mostly on the real safe rate of
return.
Real safe rates of return are exceptionally low at present and
are not expected to rise soon.
This means, in turn, that the policy rate should be expected to
remain exceptionally low over the forecast horizon.

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