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May 19, 2016

(Money), Interest and Prices

Remarks by
Stanley Fischer
Vice Chairman
Board of Governors of the Federal Reserve System
at
“A Conference in Honor of Michael Woodford’s Contributions to Economics”
cosponsored by the Federal Reserve Bank of New York,
Columbia University Program for Economic Research,
and Columbia University Department of Economics
New York, New York

May 19, 2016

It is an honor for me to speak at the opening of this conference in honor of
Michael Woodford, whose contributions to the theory of economic policy are frequently
a central part of the economic analysis that takes place in the policy discussions at the
Federal Reserve.1
The main story I want to tell today is about the quality of Michael’s major book,
Interest and Prices (henceforth MWIP). I will start with his predecessors, beginning as
Michael does in his Interest and Prices with Wicksell.2 3 I shall quote key points from
and about Wicksell’s Interest and Prices (henceforth KWIP), and following that, from
Patinkin’s Money, Interest, and Prices (second edition, 1965) (henceforth MIP), which
are relevant to MWIP, Michael Woodford’s Interest and Prices (2003).
I. Wicksell’s Interest and Prices (1898)
1. Inflation. The subtitle of Wicksell’s Interest and Prices (KWIP) is A Study of
the Causes Regulating the Value of Money and its opening paragraph
emphasizes the problem of inflation:
Changes in the general level of prices have always excited great
interest. Obscure in origin, they exert a profound and farreaching influence on the whole economic and social life of a
country.

1

I am grateful to Hess Chung, Rochelle Edge, William English, Michael Kiley, Thomas Laubach, Matthias
Paustian, David Reifschneider, Jeremy Rudd, and Stacey Tevlin of the Federal Reserve Board for their
advice and assistance.
2
Wicksell’s Interest and Prices, published in German in 1898 as Geldzins und Guterpreise by Gustav
Fischer (Jena), was first published in English (translated by R.F. Kahn) by Macmillan & Co. in 1936. It
was published in the United States by Augustus Kelley in 1965 in the series Reprints of Economic Classics.
3
See Torsten Gardlund (1958), The Life of Knut Wicksell, trans. Nancy Adler (Brookfield, Vt.: Edward
Elgar). Wicksell was not only a superb economist but also a remarkably interesting man, whose major
works in economics were published starting in the late 1890s, when he was nearing the age of 50 (he was
born in 1851 and died in 1926). Much of his earlier work was on Malthus and Malthusianism. The last
paragraph of the text of Gardlund’s book (p. 330) is about Wicksell’s funeral and reads “Various
associations and academic institutions sent the customary wreaths, but many of Wicksell’s friends and
disciples, honoring a request, instead sent their contributions to the Malthusian Advice Bureau.”

-2Wicksell follows this opening by discussing the difference between
the ability of the economic system to adjust to changes in relative prices and
to changes in the general level of prices. In the latter case,
Adjustment can no longer proceed through changes in demand or
through a movement of factors of production from one branch of
production to another. Its progress is much slower, being
accomplished under continual difficulties, and it is never
complete; so that a residue, either temporary or permanent, of
social maladjustment is always left over.
Wicksell states that both inflation and deflation are evils, but that it
is generally believed that what is most desirable is a situation “in which prices
are rising [italics in original] slowly but steadily” (p.3). He likens the
arguments for this viewpoint as reminding one “of those who purposely keep
their watches a little fast so as to be more certain of catching their trains”
(p.3). Rational man that he was, he dismisses such behavior--of which I am
guilty--as not being able to survive in the long run.
And optimist as he must have been, he concludes the opening
chapter of his Interest and Prices by saying that “the prevention of these
troubles by the provision of a constant measure of value cannot, in the present
state of economic development, be regarded a priori as unthinkable” (p.7)
2. The Quantity Theory. Wicksell’s chapter on the quantity theory is very short.
He states (p.41) that
The Theory provides a real explanation of its subject matter, and
in a manner that is logically incontestable; but only on
assumptions that unfortunately have little relation to practice . . .4

He gives several reasons that the assumptions have little relation to practice, including that there is “a kind
of collective holding of balances, arising out of the acceptance by banks of deposits.”
4

-3He concludes the chapter (p.50) by saying that
the Quantity Theory cannot just be thrown overboard. …. It
must be put up with, in the hope that a more intimate analysis of
the underlying facts might remove the blemishes from which it
undoubtedly suffers.
3. The Natural Rate of Interest on Capital and the Rate of Interest on Loans (the
cumulative process). We come here to a central and famous part of
Wicksell’s contribution to monetary economics and policy:
There is a certain rate of interest on loans which is neutral in
respect to commodity prices, and tends neither to raise nor to
lower them. This is necessarily the same as the rate of interest
which would be determined by supply and demand if no use
were made of money and all lending were effected in the form of
real capital goods. It comes to much the same thing to describe it
as the current value of the natural rate of interest on capital.
(p.102)
...........
At any moment … there is a certain level of the average rate of
interest which is such that the general level of prices has no
tendency to move either upwards or downwards. This we call
the normal rate of interest. Its magnitude is determined by the
current level of the natural capital rate, and rises and falls with it.
If, for any reason whatever, the average rate of interest is set and
maintained below this normal level, no matter how small the gap,
prices will rise and will go on rising; or if they were already in
process of falling, they will fall more slowly and eventually
begin to rise.
If, on the other hand, the rate of interest is maintained no matter
how little above the current level of the natural rate, prices will
fall continuously and without limit. (p.120)
4. International Price Relationships. Wicksell explains in Chapter 10 that while
it would be desirable to subject the theory of policy set out immediately above

-4to the test of experience, that could easily be done for a closed economy, but
that the only closed economy in the world is the world as a whole--and that
world data were not then available.
He then sets out the specie-flow mechanism, and concludes on that
subject by saying that while this explanation (the specie-flow mechanism)
must be correct, the
international equilibrium of prices is usually restored far more
rapidly and far more directly. (p.157)
He then goes on to discuss potential reasons for the more rapid
adjustment, the most important of which is that the price pressures on
individual commodities that are imported or exported as a result of changes in
prices in the two countries exert a direct influence--in the direction of
equilibrium--in the prices of individual goods.
5. Actual Price Movements in the Light of the Preceding Theory. (Chapter 11)
This chapter concludes
The theory must … be regarded for the moment as a mere
hypothesis, the complete validity of which can be established
only by further resort to the facts of experience.
...........
My purpose is to lay down the theoretical principles which
underlie these phenomena, and once they are correctly
understood their application can be confidently left to the
experience and insight of practical men. (pp. 176-7)
6. Practical Proposals for the Stabilisation of the Value of Money. (Chapter 12).
This chapter starts with a discussion of bimetallism, on which Gardlund
(p. 274) quotes Wicksell as having written in a letter that he was “neither a

-5mono- nor a bimetallist, but a non-metallist.” Wicksell then proceeds to
suggest a reaction function for the central bank:
According to our line of approach, they [proposals for stabilizing
the value of money] can attain their objective only in so far as
they exert an indirect influence on the money rate of interest, and
bring it into line with the natural rate . . . (p.188)
But
This does not mean that the [central] banks ought actually to
ascertain the natural rate before fixing their own rates of interest.
. . . The procedure should rather be simply as follows: So long as
prices remain unaltered, the banks’ rate of interest is to remain
unaltered. If prices rise, the rate of interest is to be raised. . . .
and likewise mutatis mutandis if the price level falls. (p.189)
To make this possible, Wicksell suggests the suspension of the free
coinage of gold, as a “first step towards the introduction of an ideal standard
of value”--“an international paper standard” (p.193). And, on a soaring
personal note at the end of the formal text of the book (p.196), he writes
the question of monetary reform on international lines definitely
remains among the most important of economic problems. That
its realization depends on international co-operation . . . is to my
mind a positive recommendation. I joyfully welcome every fresh
step towards the uniting of nations for economic or scientific
ends, for it adds one more safeguard for the preservation and
strengthening of that good on which the successful attainment of
all other goods, both material and immaterial, ultimately
depends--international peace.
If this were a paper about Wicksell, there would be no choice but to
stop after this inspiring crescendo. But although Wicksell plays a key role in
this paper, the paper is not primarily about him. Let me nonetheless conclude
this section of the paper with a few additional comments.

-67. Wicksell’s explanation of price dynamics. (continuation of #1 above)
Now let us suppose that for some reason or other commodity
prices rise while the stock of money remains unchanged, or that
the stock of money is diminished while prices remain
temporarily unchanged. The cash balances will gradually appear
to be too small in relation to the new level of prices. . . . I
therefore seek to enlarge my balance. This can only be done-neglecting for the present the possibility of borrowing, etc.-through a reduction in my demand for goods and services, or
through an increase in the supply of my own commodity . . . or
though both together. The same is true of all other owners and
consumers of commodities. But in fact nobody will succeed in
realizing the object at which each is aiming--to increase his cash
balance. . . . On the other hand, the universal reduction in
demand and increase in supply of commodities will necessarily
bring about a continuous fall in all prices. This can only cease
when prices have fallen to the level at which the cash balances
are regarded as adequate. . . . (pp. 39-40)
8. Paul Samuelson on Wicksell. In 1962 Paul Samuelson delivered the Wicksell
Lectures in Sweden, and opened with a lecture on “Wicksell, The
Economist”.5 Herewith three extracts from his lecture:
A stormy rebel against the traditional religion and prudery of his
day, Wicksell had the warm heart of a socialist along with the
cool head of a classical economist. (pp. 1682-3);
. . . Wicksell spent part of his time as professor at Lund in jail.
Whatever we may think of the state of society then, which could
jail a man for the offense of blasphemy, one’s admiration goes
out to the tradition of academic freedom in Swedish Universities,
which keeps a professor’s livelihood and scholarly privileges
immune from his non-scholarly misdemeanors. (p.1684);

5

See Joseph E. Stiglitz, ed. (1966-2011), The Collected Scientific Papers of Paul Samuelson, vol. II
(Cambridge, Mass.: MIT Press), pp. 1682-92.

-7And here comes the essence of Samuelson’s evaluation of his great
predecessor:
Because Wicksell read the works of his predecessors and
contemporaries, and acknowledged the fact; because he was
eclectic; because he regarded all his own ideas as merely
tentative hypotheses; because he happened to come to economics
after Jevons, Menger, Walras, Bohm-Bawerk, Marshall and J.B.
Clark--for all these reasons Wicksell is sometimes regarded as
not having been a truly original and creative economist. I am
convinced this appraisal is quite wrong.
While Wicksell may have lacked the broad judgment of Marshall
and one-track concentration of Clark, to savor his genius you
have merely to read his works on capital and general equilibrium
(vide Joan Robinson); on marginal productivity (vide Solow); on
the impact of technological change (vide Hicks); on marginal
cost pricing and imperfect competition (vide Hotelling and
Chamberlin); on business cycle rhythms generated by uneven
exogenous trends and random shocks of innovation, which
impinge on an endogenous system geared to produce quasiregular rhythms whose periods depend on its internal structure
(vide Frisch and Tinbergen); on the proper role of government
expenditure in an affluent and less-than-affluent society (vide
Lindahl and Musgrave); [and] on the relationship between
interest rates set by central banks and cumulative trends of
inflation or deflation. (p.1688)
What Samuelson saw in 1962 had gradually become the accepted
view of Wicksell in the English-speaking world after the translation of both
Interest and Prices and the two volumes of his Lectures on Political
Economy6 in the 1930s.

6

See Knut Wicksell (1935), Lectures in Political Economy, vol. I: General Theory and vol II: Money
(London: George Routledge and Sons); reprinted in 1967 (Fairfield, N.J.: Augustus M. Kelley).

-8And the references by Samuelson to the many topics on which
Wicksell made important contributions should remind us that Wicksell’s
Interest and Prices was but one of his major contributions, and that Volume II
of his Lectures on Political Economy is about money, banking and credit.
9. Wicksell and Inside Money. In both his Interest and Prices and Volume II of
his Lectures, Wicksell discusses the possibility of a pure inside money
economy. His conclusion is stated with his usual clarity:
Only by completely divorcing the value of money from … its
commodity function, by abolishing all free minting, and by
making the minted coin or banknotes proper, or more generally
the unit employed in the accounts of the credit institutions, both
the medium of exchange and the measure of value, only in this
way can the contradiction be overcome and the imperfection be
remedied. It is only in this way that a logically coherent credit
system, combining both economy of monetary media and
stability in the standard of value, becomes in any way
conceivable.
II. Patinkin’s Money, Interest, and Prices (first edition, 1956; second edition, 1965)7
In discussing Patinkin’s work, I need to mention that I was his research assistant
when he visited MIT in about 1967-8, and that I was an admirer of his work and of his
reputation as the founder of modern Israeli economics, and that later I became his friend,
albeit a junior among friends. Now I turn to his major work.
1. The goal of MIP. The subtitle of MIP is An Integration of Monetary and
Value Theory. Its goal was thus more theoretical than the goals of either of
the Interest and Prices volumes. The need for such an integration was based

7

The first edition of Money, Interest, and Prices was published in 1956 by Row, Peterson (Evanston, Ill.);
the second edition in 1965 by Harper & Row (New York).

-9on the view, frequently expressed by graduate students, that the field of
macroeconomics was based on ad hoc assumptions rather than being derived
from first principles, as is done in value theory--that is, microeconomics.
The first paragraph of the introduction to both editions of MIP is
Money buys goods, and goods do not buy money. The natural
place, then, to study the workings of monetary forces is directly
in the market for goods. This will be our central theme.
2. The real balance effect. MIP builds the integration of monetary and value
theory around the real balance effect, often known as the Pigou effect, the
presence of a wealth effect in aggregate demand, which produces stable price
dynamics at the level of the aggregate economy. The first edition was
published in 1956 and became very well known, but was also criticized,
particularly about the dynamics of prices in response to changes in the money
stock. The second edition, published in 1965, responded to this and other
critiques, and achieved the goal set out in the book’s subtitle.
In Note M of MIP (pp. 651-664) Patinkin reviews empirical
investigations of the real-balance effect, noting that most of the studies are in
effect estimates of the impact of liquid wealth holdings, rather than just real
balances, on consumption.
3. Reviews of the book. In an article published in 1993 in a festschrift for
Patinkin8, I reviewed both editions of MIP. The book had been reviewed by

See Stanley Fischer (1993), “Money, Interest, and Prices” in Haim Barkai, Stanley Fischer, and Nissan
Liviatan, eds., Monetary Theory and Thought: Essays in Honour of Don Patinkin (London: Palgrave
Macmillan).
8

- 10 at least twelve reviewers, whose verdicts were largely favorable, with almost
all recognizing that they were dealing with a major work.
4. Supplementary Notes. MIP includes excellent “Supplementary Notes and
Studies in the Literature” including on the work of Walras (Notes B and C),
Wicksell (Note E), of whom like almost all who studied him became admirers,
on Newcomb, Fisher and the Transactions Approach to the Quantity Theory
(Note F), Marshall, Pigou and the Cambridge Cash-Balance Approach (Note
G), Monetary Aspects of the Casselian System (Note H), The Classical and
Neoclassical Theory of Money and Interest (Note J), and Keynes’ General
Theory (Note K). In his review of MIP, Kenneth Arrow9 described the
literature notes as “sparkling”--not a word frequently used in such a context.
5. Harry Johnson’s comments. In his 1962 review article on recent work on
monetary theory and policy,10 Harry Johnson devoted almost a quarter of the
review to MIP, which he described as “monumentally scholarly”, but argued
that its analysis of the real balance effect was “conceptually inadequate and
crucially incomplete”.11
Johnson (1962) argued further that
. . . the more elegant approach to monetary theory lies along
inside-money rather than outside-money lines, and that the
foundation of the theory of monetary equilibrium and stability
should be the substitution effect rather than the . . . wealth effect
of a change in real balances.

See Kenneth J. Arrow (1957), “Review of Money, Interest, and Prices,” Mathematical Reviews, vol. 18
(September).
10
See Harry G. Johnson (1962), “Monetary Theory and Policy,” American Economic Review, vol. 52
(June), pp. 335-84.
11
As noted in my 1993 article, I did not find that criticism compelling.
9

- 11 Possibly Johnson was thinking of the central bank having to operate
via open-market operations, through exchanges of assets, which would induce
substitution effects, rather than through the printing of money, which in the
first instance produced increases in real balances, which would produce
wealth effects, but which are typically fiscal rather than monetary actions.
6. Involuntary unemployment. Chapters 13 and 14 of MIP deal with the
consumption function when unemployment takes the household off its labor
supply curve, and with other interactions between markets. They are based on
research by Leijonhufvud and Clower, and do an excellent job of clarifying
the implications of disequilibrium in one market for behavior in other markets.
This approach was developed further by Robert Barro and Herschel Grossman
in their 1976 volume, Money, Employment, and Inflation, but began to go out
of use and fashion in the 1980s.12
7. Surprising omissions. MIP definitely achieves its goal of integrating
monetary and value theory, but shows signs of its age in two omissions: first,
that expectations are not emphasized and indeed barely discussed; and second,
there is no analysis in MIP of ongoing inflation--the latter omission being
particularly striking given Israel’s inflationary history.

12

See Robert Barro and Herschel Grossman (1976), Money, Employment and Inflation (New York:
Cambridge University Press).

- 12 III

Michael Woodford’s Interest and Prices (2003)
Now we come to modern times, to Michael Woodford’s 2003 magnum opus,

Interest and Prices. Many of the results that appear in the book were developed and
published earlier, for Michael has been a creative and insightful researcher from the start
of his career. But in the interests of time, I will start with the book. And since the book
is massive and comprehensive, I will focus on just a few topics of interest selected from
it. I also add discussion of Michael’s views on quantitative easing and forward guidance-topics that would have received far more attention in MWIP if it had been written a
decade later than it was. And let me note explicitly that Michael has continued to be
remarkably productive, and that the topics I focus on below are among those best known
by modern macroeconomists, but that there is far more to be learned from reading
Michael’s work than I am able to discuss today.
1. The Structure of MWIP. Interest and Prices (MWIP) is divided into two
parts. Part I, Analytic Framework, is essentially an advanced textbook on
modern macro models and some of their monetary policy implications, which
introduces the reader to both useful techniques of analysis and recurrent and
important issues in the field. Its chapter headings are: Price-Level
Determination under Interest Rate Rules; Optimizing Models with Nominal
Rigidities; A Neo-Wicksellian Framework for the Analysis of Monetary
Policy; and Dynamics of the Response to Monetary Policy. Part II, Optimal
Policy, is more directly policy-focused, with chapter headings: Inflation
Stabilization and Welfare; Gains from Commitment to a Policy Rule; and
finally, Optimal Monetary Policy Rules.

- 13 2. The basic model. MWIP is innovative and impressive. In almost every
analysis, it uses a small DSGE model, with variations in assumptions to deal
with the topic in hand. Here follows a typical three equation model,
consisting of log-linear approximations of the non-linear equilibrium
conditions of an underlying model that includes an intertemporal Euler
equation, a New Keynesian Phillips curve, and an interest rate rule.13
𝑥𝑡 = 𝐸𝑡 𝑥𝑡+1 − 𝜎(𝑖̂𝑡 − 𝐸𝑡 𝜋𝑡+1 − 𝑟̂𝑡𝑛 )

(1)

𝜋𝑡 = 𝜅𝑥𝑡 + 𝛽𝐸𝑡 𝜋𝑡+1

(2)

𝑖̂𝑡 = 𝑖̅𝑡 + 𝜙𝜋 (𝜋𝑡 − 𝜋̅) + 𝜙𝑥 (𝑥𝑡 − 𝑥̅ )/4

(3)

where
𝑥𝑡 is the output gap, 𝑦̂𝑡 − 𝑦̂𝑡𝑛 ;
𝑦̂𝑡𝑛 is an exogenous variable, representing variations in the natural rate of
output;
𝜋𝑡 is the rate of inflation;
𝑖̂𝑡 is the interest rate;
𝑖̅𝑡 is an exogenous, possibly time-varying, intercept of the Taylor Rule.
3. Analyzing Monetary Policy without Money. One of Woodford’s most
interesting results is that it is often possible to study monetary policy without
having money in the model. In these cases, monetary policy is conducted
using the interest rate as the monetary policy instrument. As Woodford notes
in Chapter 4, “A Neo-Wicksellian Framework”, a money demand equation

13

These are equations (1.12), (1.13), and (1.14), respectively, in chapter 4, which appear on page 246 of
MWIP, the derivation of which is discussed on pp. 243-45.

- 14 can under some circumstances be added to the model, with the amount of
money supplied by the central bank having to be consistent with the money
demand equation. But inflation in such a situation is not necessarily caused
by the quantity of money; rather the quantity of money may be caused by and
consistent with the inflation rate resulting from the three basic equations in
which the money stock does not appear--in particular from the gap between
the natural and actual rates of interest. For this result to go through, the
money stock cannot per se be among the variables that determine the
equilibrium of the remaining--the non-monetary--part of the model. This
means that the separation result is not possible if there is a real balance effect
operating in the goods markets. Or to put the result differently, the separation
feature is consistent with an inside money monetary system, while it may well
not be consistent with an outside money structure. It is thus consistent with
the suggestion by Harry Johnson mentioned above, that monetary analysis
might better be carried out primarily in an inside-money than an outsidemoney model.
This neo-Wicksellian result is somewhat surprising. It provides
justification for the behavior of those central banks that think and talk of
monetary policy purely in terms of the policy interest rate and other financial
return variables, but not of the money stock. However, we need to remind
ourselves that it is built on an assumption that the money stock per se does not

- 15 appear in the basic three-equation model--and that is an assumption, not a
theorem.14
4. The Goals of Policy. When he turns to optimal policy, Woodford starts
Chapter 6 by asking what the goals of monetary policy should be. He states
that there is a fair amount of consensus in the literature that a desirable
monetary policy is one that achieves a low expected value of an objective
function that includes inflation and “some measure of output relative to
potential.” He then goes on to point out the many questions such a
formulation leaves unanswered, including whether to target the price level or
the inflation rate, should greater priority be given to reducing the variability of
unforecastable inflation, should one seek to stabilize output deviations from a
smooth trend or from the short-run aggregate supply curve, and so forth? And
then the surprising comment (p.382)
The aim of the present chapter is to show how economic analysis
can be brought to bear upon these questions.
This sounds simple but it is not, for the explanation that Woodford provides is
that
we have seen that models founded on individual optimization
can be constructed that, thanks to the presence of nominal
rigidities, allow for realistic effects of monetary policy upon real
variables. Here we shall see those same nominal rigidities
provide welfare-economic justification for central bankers’
traditional concern for price stability.

14

It is worth noting that the money stock dropped out of many models in the 1980s because standard
relationships between money and real variables became unstable and because money aggregates became
difficult to control. Or, as Gerald Bouey, former governor of the Bank of Canada, once said to the House
of Commons Standing Committee on Finance, Trade and Economic Affairs, “We did not abandon M1, M1
abandoned us.”

- 16 That is not a simple thought, but it is logical--and that insight enables Michael
to derive a utility or loss function with inflation in it.
Interestingly, Woodford recognizes that his result is based on several
approximations (pp. 383-392), but is nonetheless prepared to go ahead. While
that choice is to some extent a matter of taste, it is also highly pragmatic--and
some might say, a reflection of his MIT training, a comment that I would take
as a compliment.
5. The importance of the long-term interest rate. Another key result is that when
you solve forward the system above, you find, as Woodford notes (p.244), that
aggregate demand in this model depends upon all expected
future short real rates, and not simply upon a current ex ante
short real rate of return; and unless fluctuations in short rates are
both highly unforecastable and highly transitory, expectations of
future short rates are more significant than the current short rate
--and in a footnote he notes that this can also be explained by saying that it is
the long rate of interest and not the short rate that determines aggregate
demand in this model.
6. What to do at the ZLB, Forward Guidance, The Role of Expectations. MWIP
was completed well before the Fed had to contend with the ZLB--zero lower
bound--which later became the ELB--effective lower bound--even though
there were discussions in the U.S. economy in 2003 and earlier about what to
do if the economy were ever to be at the ZLB.15

See Michael Woodford (2012), “Methods of Policy Accommodation at the Interest-Rate Lower Bound,”
in Proceedings--Economic Policy Symposium--Jackson Hole (Kansas City: Federal Reserve Bank of
Kansas City), pp. 185-288.
15

- 17 Woodford’s views on forward guidance can be understood from the
discussion above of the forward solution of the basic model. Woodford has
long emphasized the importance of policy commitment, even in the absence of
a binding ZLB constraint. At the ZLB, explicit forward guidance can
potentially offset a lot of the distortion, by, in effect, reducing all interest rates
across the maturity spectrum at least up to the time that policy changes.
Indeed, as shown by Eggertson and Woodford (2003), optimal forward
guidance should commit to maintain lower interest rates during the recovery
than would otherwise have been warranted by economic conditions. 16
Importantly, the appropriate commitment can be framed as a historydependent policy function responding only to the history of the price level and
the output gap, in such a way that the impact on policy decisions of economic
conditions at the lower bound continue, even as the economy recovers.
A history-dependent policy rule introduces a wedge between what
the central bank has promised and what contemporary circumstances, taken by
themselves, would call for. This wedge may raise difficult questions
regarding the credibility of the policy. Woodford believes that credibility can
be enhanced by spelling out an explicit framework describing the nature of
any history-dependence. For example, as Woodford suggests in his 2012
Kansas City Fed paper,
A more useful form of forward guidance, I believe, would be one
that emphasizes the target criterion that will be used to determine
when it is appropriate to raise the federal funds rate target above
See Gauti B. Eggertsson and Michael Woodford (2003), “The Zero Bound on Interest Rates and Optimal
Monetary Policy,” Brookings Papers on Economic Activity, no. 1, pp. 139-211.
16

- 18 its current level, rather than estimates of the “lift-off” date. If
such an explicit criterion made it clear that short-term interest
rates will not immediately be increased as soon as a Taylor rule
descriptive of past behavior would justify a funds rate above 25
basis points, this would provide a reason for market participants
to expect easier future monetary and financial conditions than
they may currently be anticipating . . .
The very powerful effects of forward guidance have been called “the
forward guidance puzzle”. But the puzzle is not a deep one, for the ability of
any central bank to commit to follow a particular monetary policy rule must
be a diminishing function of the length of the horizon that is being considered.
This fact serves to limit the extent to which policy can deliberately shape
private expectations. However, the strength of forward guidance is just one
manifestation of a very high interest elasticity in the DSGE models typically
used by Woodford that shows up pervasively. For example, any combination
of shocks that brings the economy to the ZLB for an appreciable length of
time will display the effects of the elevated interest elasticity in such models,
whether or not the central bank is assumed to issue explicit forward guidance.
This high elasticity is also in evidence in attempts to evaluate alternative
monetary policy regimes.17
7. What to do at the Lower Bound, Quantitative Easing. Woodford is much less
impressed by the potential power of quantitative easing (or “targeted asset
purchases” as he describes them in his Jackson Hole paper). He argues that
portfolio balance effects do not exist in a modern, general-equilibrium theory

17

I am grateful to Hess Chung of the Federal Reserve Board for drawing to my attention the general point
made in this paragraph.

- 19 of asset prices, and that it does not matter whether a particular risk is held in
the portfolio of private investors or the central bank, for in the end the gains or
losses of the central bank are transferred to the government, and via the
government budget constraint, are returned to private individuals. This is
Ricardian equivalence in a slightly different context than examined by Robert
Barro.18
Whether it applies in practice is an empirical issue, with empirical
evidence from many papers written in the Fed and elsewhere suggesting a
significant impact in the expected direction from quantitative easing actions
undertaken by the Fed and other central banks.19
8. Money Supply versus Interest Rate. At present, the Neo-Wicksellian approach
developed by Woodford and others is dominant, relative to the explicitly
monetary approach to monetary policy used by Patinkin and others. I suspect
this situation will continue. But I believe that we need to consider both
approaches to monetary policy, for monetary policy affects the economy not
only through the Euler equation as in Woodford, but also through direct
effects on current demands for goods described by Patinkin’s use of the realbalance effect and by Wicksell’s explanation of price dynamics described
earlier.
9. The fundamental impact of Michael Woodford on Fed thinking:20 The most
direct impact of Woodford on Fed thinking and analysis comes from his neoWicksellian analysis of monetary policy. Essentially, Woodford has
See Robert J. Barro (1974), “Are Government Bonds Net Wealth?” Journal of Political Economy, vol. 82
(November-December), pp. 1095-1117.
19
See Joseph E. Gagnon (2016), “Quantitative Easing: An Underappreciated Success,” Policy
Brief PB 16-4 (Washington: Peterson Institute for International Economics, April),
https://piie.com/system/files/documents/pb16-4.pdf.
20
I draw here on notes provided by Michael Kiley of the Federal Reserve Board.
18

- 20 developed the links between fluctuations of output and inflation around their
natural21 or long-run equilibrium values and economic welfare--a point22
made clear by the discussion above of his analysis of the optimal goals of
monetary policy.
Many Fed researchers--among them more than a dozen Woodford
students--have attempted to measure the natural rates of interest and the
natural output gap. Early work on these topics using DSGE models produced
very volatile estimates of these concepts, leading to the development of DSGE
models with more realistic features, including important roles for financial
frictions, which fit the data better--and which bear some resemblance to more
traditional estimates of the output gap. As a result, these models are now
routinely used in monetary policy discussions.
One key lesson from these models is that measuring the natural rate
of interest or the output gap is hard. However, estimates of the natural rate of
interest from a collection of structural models across the Federal Reserve
System indicate that the natural rate fell considerably during the financial
crisis, became quite negative in its aftermath, and has subsequently recovered
only slowly.23

In Woodford’s and Wicksell’s analyses, natural values are those that would prevail in the absence of
nominal rigidities.
22
See, for example, Katharine Neiss and Edward Nelson (2002), “Inflation Dynamics, Marginal Cost, and
the Output Gap: Evidence from Three Countries,” unpublished paper, Bank of England, July; Rochelle
Edge, Michael Kiley, and Jean-Philippe Laforte (2008), “Natural Rate Measures in an estimated DSGE
model of the U.S. economy,” Journal of Economic Dynamics and Control, vol. 32, pp. 2512-35.
23
See, for example, figure 1 in Janet Yellen (2015), “The Economic Outlook and Monetary Policy,” speech
delivered at the Economic Club of Washington, Washington, D.C., December 2,
www.federalreserve.gov/newsevents/speech/yellen20151202a.pdf.
21

- 21 While estimates of the natural rate from DSGE models provide some
information needed for the proper conduct of monetary policy, these estimates
are closely tied to the structure of the DSGE models, and essentially ignore
the possibility of long-term structural changes in the balance between saving
and investment. As a result, an alternative longer-run concept, the equilibrium
rate of interest, has also played an important role in recent policy discussions.
Estimates of this concept, which follow a statistical approach introduced by
Thomas Laubach and John Williams24, have also fallen to quite low levels.
A priority for researchers in the field is to develop improved
estimates of the long-run equilibrium interest rate, and to develop policies that
can influence it. In that regard, one should recognize that in a more complete
model than the basic three equation model laid out above, the natural and
long-run equilibrium interest rates would be functions of many variables,
among them fiscal variables--with respect to both infrastructure spending and
taxation. In particular, faster trend growth would increase the long-run
equilibrium interest rate, and what we need most, now that we are near full
employment and approaching our target inflation rate, is faster potential
growth. The neo-Wicksellian and Woodfordian approach to macroeconomics
is well suited also to study that problem, which is critical to the future of the
United States and global economies.

See Thomas Laubach and John Williams (2003), “Measuring the Natural Rate of Interest,” Review of
Economics and Statistics, vol. 85, pp. 305-25.
24

(Money), Interest and Prices
Stanley Fischer
Vice Chairman
Board of Governors of the Federal Reserve System

May 19, 2016

Inflation
The subtitle of Wicksell’s Interest and Prices is A
Study of the Causes Regulating the Value of
Money. Its opening paragraph emphasizes the
problem of inflation:

“Changes in the general level of prices
have always excited great interest.
Obscure in origin, they exert a profound
and far-reaching influence on the whole
economic and social life of a country.”

May 19, 2016

2

The Natural Rate of Interest on Capital and
Rate of Interest on Loans
“At any moment … there is a certain level of the average rate of interest
which is such that the general level of prices has no tendency to move
either upwards or downwards. This we call the normal rate of interest.
Its magnitude is determined by the current level of the natural capital rate,
and rises and falls with it.
If, for any reason whatever, the average rate of interest is set and
maintained below this normal level, no matter how small the gap, prices
will rise and will go on rising; or if they were already in process of falling,
they will fall more slowly and eventually begin to rise.
If, on the other hand, the rate of interest is maintained no matter how little
above the current level of the natural rate, prices will fall continuously and
without limit.” (p.120)

May 19, 2016

3

Actual Price Movements in the Light of the
Preceding Theory
“The theory must … be regarded for the moment as a mere
hypothesis, the complete validity of which can be
established only by further resort to the facts of experience.
……………
My purpose is to lay down the theoretical principles which
underlie these phenomena, and once they are correctly
understood their application can be confidently left to the
experience and insight of practical men” (pp. 176-7)

May 19, 2016

4

Practical Proposals for the Stabilisation of the
Value of Money
“According to our line of approach, they [proposals for stabilizing the
value of money] can attain their objective only in so far as they exert
an indirect influence on the money rate of interest, and bring it into line
with the natural rate …” (p.188)
But “This does not mean that the [central] banks ought actually to
ascertain the natural rate before fixing their own rates of interest. …..
The procedure should rather be simply as follows: So long as prices
remain unaltered, the banks’ rate of interest is to remain unaltered. If
prices rise, the rate of interest is to be raised …… “ and likewise
mutatis mutandis if the price level falls. (p.189)

May 19, 2016

5

Paul Samuelson on Wicksell
“Because Wicksell read the works of his predecessors and contemporaries, and
acknowledged the fact; because he was eclectic; because he regarded all his own ideas
as merely tentative hypotheses; because he happened to come to economics after Jevons,
Menger, Walras, Bohm-Bawerk, Marshall and J.B. Clark – for all these reasons Wicksell
is sometimes regarded as not having been a truly original and creative economist. I am
convinced this appraisal is quite wrong.
While Wicksell may have lacked the broad judgment of Marshall and one-track
concentration of Clark, to savor his genius you have merely to read his works on capital
and general equilibrium (vide Joan Robinson); on marginal productivity (vide Solow);
on the impact of technological change (vide Hicks); on marginal cost pricing and
imperfect competition (vide Hotelling and Chamberlin); on business cycle rhythms
generated by uneven exogenous trends and random shocks of innovation, which impinge
on an endogenous system geared to produce quasi-regular rhythms whose periods
depend on its internal structure (vide Frisch and Tinbergen); on the proper role of
government expenditure in an affluent and less-than-affluent society (vide Lindahl and
Musgrave); [and] on the relationship between interest rates set by central banks and
cumulative trends of inflation or deflation.” (p.1688).

May 19, 2016

6

Wicksell and Inside Money
“Only by completely divorcing the value of money from … its commodity
function, by abolishing all free minting, and by making the minted coin
or banknotes proper, or more generally the unit employed in the
accounts of the credit institutions, both the medium of exchange and
the measure of value, only in this way can the contradiction be
overcome and the imperfection be remedied. It is only in this way that
a logically coherent credit system, combining both economy of
monetary media and stability in the standard of value, becomes in any
way conceivable.”

May 19, 2016

7

Patinkin’s Money, Interest, and Prices
The Real Balance Effect
Money, Interest, and Prices builds the integration of
monetary and value theory around the real balance effect,
often known as the Pigou effect, the presence of a wealth
effect in aggregate demand, which produces a stable
aggregate price dynamics at the level of the economy.

May 19, 2016

8

Harry Johnson’s Comments
“…. the more elegant approach to monetary theory lies along
inside-money rather than outside-money lines, and … the
foundation of the theory of monetary equilibrium and
stability should be the substitution effect rather than the …
wealth effect of a change in real balances.”

May 19, 2016

9

Involuntary Unemployment
Chapters 13 and 14 of MIP deal with the consumption
function when unemployment takes the household off its
labor supply curve, and with other interactions between
markets. They are based on research by Leijonhufvud and
Clower, and do an excellent job of clarifying the
implications of disequilibrium in one market for behavior
in other markets. This approach was developed further by
Robert Barro and Herschel Grossman in their 1976
volume, Money, Employment, and Inflation, but began to
go out of use and fashion in the 1980s.

May 19, 2016

10

The Basic Model
𝑥𝑡 = 𝐸𝑡 𝑥𝑡+1 − 𝜎 𝑖𝑡 − 𝐸𝑡 𝜋𝑡+1 − 𝑟𝑡𝑛
𝜋𝑡 = 𝜅𝑥𝑡 + 𝛽𝐸𝑡 𝜋𝑡+1
𝑖𝑡 = 𝑖𝑡 + 𝜙𝜋 𝜋𝑡 − 𝜋 + 𝜙𝑥 (𝑥𝑡 − 𝑥)/4

(1)
(2)
(3)

where
𝑥𝑡 is the output gap, 𝑦𝑡 − 𝑦𝑡𝑛 ;
𝑦𝑡𝑛 is an exogenous variable, representing variations in the natural rate of output;
𝜋𝑡 is the rate of inflation;
𝑖𝑡 is the interest rate;
𝑖𝑡 is an exogenous, possibly time-varying, intercept of the Taylor Rule.

May 19, 2016

11

Estimates of the Real Natural Rate of Interest
from Different Economic Models*

*This exhibit was drawn from figure 1 in Janet Yellen, “The Economic Outlook and
Monetary Policy,” remarks at the Economic Club of Washington, December 2.

May 19, 2016

12

Thank you.