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MONETARY
POLICY IN THE LIGHT OF RATIONAL EXPECTATIONS
Patrick Minford
Not everyone accepts the Rational Expectations
Hypothesis, but most now agree that it is worthy of attention, at least
as a tractable approximation in an imperfectly understood world. An
attempt to justify the hypothesis would take us too far afield; instead,
this essay examines its implications for monetary policy in a
closed economy, although these arguments are easily extended to an open
economy. I first consider how monetary shocks might affect output in the
presence of rational expectations. Traditional theories of the
transmission mechanism are undermined by rational expectations, but
there are difficulties with alternative accounts. I also discuss the
important implications of rational expectations for the definition of
monetary policy and its relationship to fiscal policy. I conclude by
examining whether monetary policy is capable of stabilizing output and
more importantly whether such stabilization is desirable.
Does money affect output?
How might monetary shocks affect output? The neo-classical economists
had a simple answer: it did not (at least in the long run). The money
supply affected only the general price level: it had no effect on
relative prices or any real variable. This is too simple, however, for
we do observe a relationship between movements in the money supply and
output.
One influential account of a transmission mechanism was advanced by
Phelps and Friedman, involving a Phillips curve relationship between
wage levels and employment with exogenously given or backward-looking
price expectations. In the equilibrium version of this story, increases
in the money supply drive up prices while wages move relatively slowly,
held in place because price expectations adjust only sluggishly. Output
therefore increases in response to falling real wages and rising
profitability.
This account hinges on a labour supply curve in which there is a
sizeable response of labour supply to current expected real
wages. There is an information lag for workers with respect to the
general price level; they perceive their own nominal wages accurately,
but they cannot sample all the prices of the many goods they will be
buying in a typical year. Workers therefore form an expectation of the
price level based partly on the prices they do sample and partly on
out-of-date general information about the economy, including the money
supply. Price expectations will therefore incorporate the effect of
lagged money supply movements on prices; but current money supply
movements that could not be predicted will be incorporated into workers
expectations only in so far as they are reflected in individual prices
observed by the workers. These will reflect not only the money supply
but also individual market influences and economy-wide real shocks; so
when the money supply rises unexpectedly and drives up the general price
level, price expectations will only partially reflect the actual
increase in the price level. Real wages are actually lower than workers
believe, and the workers are in a sense 'fooled' into supplying more
labour. The demand for labour depends upon the maximizing decisions of
firms and therefore on actual prices and real wages. Firms hire more
workers because the real wage has fallen (although workers do not know
this yet); output therefore rises. A money-supply shock therefore raises
prices and output in a very familiar way, but only if the shock is
unexpected. Expected movements in the money supply have no effect on
output because workers fully incorporate this information into their
price expectations and labour market behaviour.
This basic story can be enriched by allowing people to predict movements
in the general price level from the prices they observe. They will base
such inferences on the past correlation between these individual prices
and unforeseen movements in the general price level. If the economy is
one where monetary shocks dominate all others (e.g., one of high and
variable inflation), then this correlation will be high. In this case,
people will interpret any local price movements as a signal that the
general price level has changed; their price expectations will change
rapidly, and they will not change their labour market behaviour. Output
therefore will be unaffected by monetary shocks. At the opposite
extreme, when there is monetary stability, expectations concerning the
general price level will respond only very slowly to changes in
individual prices.
The development of this equilibrium account of the transmission
mechanism is mainly due to Barro, Lucas, and Sargent and Wallace. It is
often called the 'islands' story because individuals are consigned to
local markets and cannot obtain up-to-date information on the rest of
the economy. The main difficulty with such insularity is its reliance on
a rather implausible information deficiency. Aggregate information on
the price level and the money supply is routinely available with a very
short delay, at least in developed economies. It is hard to believe that
errors in forecasting prices or the money supply are therefore serious
enough to mislead workers into significant changes in their labour
supply. The story seems most plausible in developing countries where
aggregate information is subject to long delays or is unreliable. Indeed
Lucas, in a 1973 study, found cross-country support for his islands
theory from a sample containing many developing countries.
There is an alternative, disequilibrium version of the Phillips curve
developed by Stanley Fischer and by Phelps and Taylor in the 1970s. They
assumed that workers and firms sign contracts extending over several
periods, in which labour is supplied in whatever quantity firms should
require, at a nominal wage fixed in the contract. In this model output
also responds to unanticipated shocks in money and prices. An
unanticipated rise in the price level lowers the real wages paid by
firms. Firms can obtain all the labour they want at a nominal wage which
is fixed by contract and therefore at a lower real wage; firms therefore
expand employment and output. Output is therefore affected by any money
supply movements which were not predicted at the date of the
longest-running contract.
The difficulty with this account lies in its assumption that contracts
fix nominal and not real wages. This assumption must ultimately rest on
the existence of transactions costs in changing nominal wages; without
such costs, contracts signed between firms and risk-averse workers would
index nominal wages to the price level, so that real wages were the
object of the contract. Why should this indexation not occur in
contracts? The experience of European countries such as Italy and
Belgium, where formal indexation close to 100% is practised, suggests
that real wages can be made largely impervious to monetary shocks. If
this is so in countries where there is a statutory indexation mechanism,
why should it be any less feasible in other countries?
The difficulties with both versions of the Phillips curve have led to a
search for alternative 'nominal rigidities' which might explain the
observed relationship between money and output. A natural place to look
for such rigidities is in asset holdings. Non-indexed government bonds
are one example of assets denominated in nominal terms, which are in
effect contracts whose terms were set at various dates in the past,
rather like overlapping wage contracts. Holdings of such assets would
affect aggregate demand and hence output, provided these assets are
regarded by the private sector as additions to its net wealth, because
of incomplete discounting by the private sector of its future tax
liabilities.
One may enrich this model, in which bonds appear as net wealth, by
appealing to a possible confusion, not between local and economy-wide
price shocks, as in the island story, but between temporary and
permanent monetary shocks. Suppose that monetary and real shocks each
have both a transitory and a permanent component, and that these
components cannot be distinguished in the current period. This emphasis
on the confusion between transitory and permanent components can be
found in the 1980 work of Brunner, Cukierman and Meltzer, although they
use it rather differently. This approach suggests that money does have
an effect on output, one which is similar to that described in recent
work by Lucas. The greater is the variability of the permanent
relative to the transitory component of money, the smaller is the effect
of a monetary shock on output. Real interest rates vary directly
with output in this approach, but these results depend on the private
sector treating its bond holdings as net wealth.
This approach places confusion firmly where it belongs, namely in our
knowledge about the future. Individuals know today everything
there is to know about shocks today; what they cannot know is
which of these shocks will endure into the future. The basis for this
confusion is a lack of information, but it is not the sort of
information that could readily be provided by more surveys; it is not factual
information, rather it is interpretive information. Suppose there
is an unexpected rise in the money supply. That is a fact, to be
established by a statistical recording process. But what one really
needs to know is what that fact means for the future: have the
authorities decided to raise the level of the money supply permanently,
or the growth rate permanently, or is this merely a temporary
disturbance? How can this be discovered? One may ask civil servants or
Ministers, and discover their intention; that in turn may be conditional
on how backbenchers or the government's supporters in the country react
to events. One may ask a sample of these their opinions. And so on.
There is no fact to be discovered at this time, because no one
knows what will be.
Some researchers have argued that explanations of a transmission
mechanism linking the money supply to output are wide of the mark:
observed correlations between money and output reflect the influence of
output on money! Long and Plosser have argued in their theory of the
'real business cycle' that correlations between output and money reflect
causation running from output to the money supply. The banking system,
it is argued, accommodates the higher real balance requirements
resulting from a higher level of output. Money shocks have no causal
influence on output in this theory. If correct, this theory would
devastate macroeconomic explanations of business cycle history.
For example, it would suggest that the Great Depression happened because
of some unknown shock to tastes and technology. It is too early to pass
judgement on this explanation, but it is worth noting that Kam-Fai Chan
and CEPR Research Fellow Michael Beenstock have found evidence for the
United Kingdom that an increase in economic activity will tend to expand
the money supply through the operation of the money multiplier (CEPR
Discussion Paper No. 106, 'The Determinants of the Money Multiplier in
the United Kingdom').
This discussion has shown that, under rational expectations, there are
many mechanisms by which monetary shocks may affect output. All
these mechanisms are implausible in some respects, however. Information
delays are relevant mainly in developing countries; contracts are
drafted in nominal terms only when the transactions costs of indexation
are high; money may only have a significant role as wealth when
alternative assets are restricted; and there may be no money-denominated
bonds. Institutional details of the monetary framework will therefore be
important in assessing through which channel, if any, monetary shocks
work. This judgement may lead us to accept a real business cycle theory
for certain situations, like that of a high-inflation country with a
weak government incapable of enforcing a currency monopoly. It also
suggests that the monetary explanation of the Great Depression due to
Friedman and Schwartz can stand up if we can show that the monetary
framework of that time made one at least of these channels operative -
surely not a difficult task.
Fiscal constraints on monetary policy
Rational expectations also has important implications for the definition
of monetary policy and its relationship to fiscal policy. The literature
on the 'government budget constraint' drew attention to the instability
which could arise if monetary and fiscal policy were 'inconsistent'.
Such an inconsistency would arise if a fiscal deficit were permanently
bond-financed. Because expectations are forward-looking, models which
incorporate this hypothesis have in principle to be solved into the
indefinite future in order to arrive at a solution for the current
period: this implies that a model must have a reasonable long-run
equilibrium if it is to be useful. Under rational expectations,
therefore, the long-run instability threatened by inconsistent policies
becomes an immediate one: it is impossible even to define an equilibrium
path. Thus fiscal deficit policy implies bounds on feasible monetary
policy. Furthermore, the future paths of monetary policy implied by
fiscal policy have effects on current output and inflation.
This has important and rather surprising implications. Suppose we make
the very mild assumption that in any steady state, the ratio of real
government debt to GDP should approach a constant, thus ruling out 'Ponzi
financing' of government. The government budget constraint now implies
that the growth rate of money in a steady-state equilibrium depends upon
the ratio of GDP to the steady-state deficit inclusive of real debt
interest (sometimes called the 'inflation-adjusted real deficit') minus
an allowance for growth.
This condition can be stated in another way: money growth must equal the
ratio of the Public Sector Borrowing Requirement to GDP, multiplied by
the 'velocity' of 'outside money'. Though exactly equivalent, one
statement uses the inflation-adjusted deficit while the other uses the
unadjusted deficit. When the inflation-adjusted deficit is used to
assess whether fiscal policy would be consistent with a particular
counter-inflationary monetary policy, great care must be taken to allow
for the effects of falling inflation and interest rates on the value of
outstanding bonds. This adjustment can be very large indeed when a large
proportion of these bonds are non-indexed and of long maturity, and it
may be that large cuts in the government deficit excluding interest are
necessary for consistency. The assessment is easier when the unadjusted
deficit is used, since debt interest will not change in nominal terms
except for short- maturity stocks which are rolled over before inflation
comes down. The debate on the Thatcher government's Medium Term
Financial Strategy has not always taken into consideration this point.
Willem Buiter and Marcus Miller, for example, have used the
inflation-adjusted deficit to argue that fiscal policies under the
Medium Term Financial Strategy were 'unnecessarily' restrictive. Their
method of adjusting for the effects of current inflation on the current
market value of debt, however, have led Buiter and Miller astray.
Consideration of a steady state in which the ratio of debt to output is
constant also highlights the essential interdependence of monetary and
fiscal policy, a point made most forcefully by Sargent and Wallace in a
1981 paper. For a given time path of money supply growth, larger
deficits along the path require either higher inflation or a reduced
deficit at the end of the path. Conversely, for a given time path of
fiscal deficits, lower monetary growth along the path implies higher
debt and so higher inflation at the end. Sargent and Wallace took this
argument one step further. If expectations were forward-looking, then at
given levels of government expenditure and tax rates, lower money growth
today could produce higher inflation today as well as in the long
run! This surprising result has been shown to hold in more general
models. The importance of the general result is clear, and further
generalizations in more dynamic models are of great interest.
Monetary policy as an output stabilizer
Monetary and fiscal policy are therefore interdependent, and it is
difficult to analyse the stabilizing role of monetary policy in
isolation. One way of avoiding this complex interdependence is to think
of monetary policy as 'independent' in the short to medium run, but
constrained by or constraining the fiscal deficit in the long run. This
procedure also has the merit that monetary stabilization policy - to
which we turn next - can be thought about separately from fiscal policy
or long-run monetary growth.
I take as axiomatic the role of monetary policy in controlling inflation
via the systematic long-run control of money supply growth. The role of
monetary policy in stabilizing output fluctuations demands more careful
examination. Before the advent of the rational expectations hypothesis,
no one doubted that in principle monetary policy could and should
stabilize output, given slowly moving price expectations. The debate
resolved around three assumptions: that the central bank has up-to-date
information at least as good as that available to the private sector,
that the central bank has a good model of the economy with which to
forecast the effects of policy, and that it is efficient in implementing
required policy. Those opposed to an 'activist' monetary policy argued
that all three assumptions were invalid and concluded that activist
policy would be at least as likely to increase as to dampen
fluctuations.
Rational expectations has widened the scope of this debate. Individuals
in the private sector incorporate knowledge of the central bank's
reactions into their expectations, if these are indeed formed
rationally. Under certain conditions this can neutralize the effects of
monetary policy on output. In general, rational expectations complicate
the economy's responses to stabilization policy, and this raises
questions about the desirability of activist policy.
An economic theory must upset strongly held policy convictions in order
to be noticed and to acquire a following quickly - Keynes and Friedman
understood this, and the policy-ineffectiveness proposition advanced by
Sargent and Wallace in 1975 proved the point once more. Sargent and
Wallace dealt a strong blow to activist policy prescriptions by merely
adding the assumption of rational expectations to a standard Keynesian
model with an expectations-augmented Phillips curve. They demonstrated
that a monetary authority possessing no better information than its
private citizens could not have any influence on the behaviour of output
by implementing any planned policy action. Only the authority's
monetary 'errors', i.e. the deviations from its monetary plan,
could affect output.
This proposition had two effects on the economics profession. It created
an antipathy to the hypothesis of rational expectations among those
committed to monetary stabilization policy. It also generated a
voluminous literature searching for ways to generate policy
effectiveness. Yet, as Lucas and Sargent later emphasized, the
proposition was never intended as more than a cautionary tale, designed
to illustrate the general point that monetary policies may have effects
very different from those supposed to occur under naive expectations
hypotheses. The intended moral was that 'expectations must be allowed
for carefully.'
David Peel and I have surveyed the ways in which policy effectiveness
may be reestablished in rational expectations models. If one retains the
assumption that the government and the private sector have access to the
same information, then any nominal rigidity will do the trick. All that
is required is that some nominally denominated asset or contract has a
maturity longer than the information lags on nominal variables. The
intuition is obvious. Suppose the economy experiences a shock at time t,
and its effects on prices are perceived in period t+1. Then
provided there are some contracts or assets whose value in period t+2
is affected by the price level in period t+2, the central bank
can, by changing the money supply and so the price level, offset the
effects of the shock during period t+2. Phelps and Taylor and
Fischer showed this for nominal wage and price contracts, while my work
with Peel shows that this holds for wealth effects of nominal government
liabilities. We have to appeal to these very rigidities in order to
argue that money has any effect on output at all, and the case for an
activist monetary stabilization policy rests on the same arguments.
We have written as if there were no possibility for the money supply to
react immediately to the current information available to the
central bank. Yet such reactions are what most central bankers
themselves think of as monetary policy; reserve injections in response
to rises in interest rates, exchange rates and so on. Fifteen years ago
William Poole analysed the monetary authority's choice between a policy
of fixing interest rates and one of fixing the money supply. Interest
rate policies, he argued, would stabilize output in response to monetary
shocks but destabilize it in response to real shocks, while policies to
govern the money supply would do the opposite. This analysis suggests
that the central bank should employ a combination of the two policies
which reflected the relative likelihood of monetary versus real shocks
to the economy.
While Poole's approach remains valid for the models with nominal
rigidities, it is less convincing when information on interest rates is
generally available and expectations are taken to be rational. People
can infer the current money-supply response from interest rate changes,
and can then incorporate this information into their expectations, so
that the policy response has no effect on output. This argument against
Poole's approach would be inapplicable only if the central bank reacts
to information which is available only at an individual market level,
but this is hard to argue in the case of variables such as interest
rates and exchange rates upon which central bank policies are typically
based.
In spite of these difficulties the balance of the argument seems to
confirm the effectiveness of monetary policy even in the most
'classical' models. But this does not establish its desirability. Three
main problems have been identified: the 'Lucas critique', whereby the
system's response can change as policies change; the time-inconsistency
or credibility problem raised by Kydland and Prescott, whereby announced
policies may not be followed through; and the appropriateness of using
social welfare functions based on output gaps and inflation to design or
assess stabilization policies.
Lucas's critique is very convincing, given the complexities introduced
when people second-guess government intentions and attempt to interpret
economic signals. It essentially returns us to Milton Friedman's
original argument: that policy-makers do not have a good enough model of
the economy to be certain that their policies will improve matters. The
Lucas critique suggests that models can never be good enough:
even if adequate within the sample period over which they are estimated,
their structures will shift outside the estimation period as private
sector behaviour changes in response to new policies which are
introduced. This also constitutes a powerful argument against basing
monetary policy on models which rely on nominal rigidities, for the
structure of these models above all will shift with changes in the
policy framework.
Time inconsistency is a general problem with any policy where the
policy-maker is not bound by some external force to stick to his
announced policies. The assumption of rational expectations only adds
force to the problem. It has played a prominent role in recent
discussions of international economic policy coordination. (See the
article by David Currie and Marcus Miller in Bulletin No. 13 for
current CEPR research in this area, as well as Discussion Papers No. 94
and 102.) The essence of time consistency is that the policy-maker
induces the private sector to behave in a certain way, based on what the
private sector expects the government to do given announced policy. Once
the policy-maker has induced this behaviour, the situation is now a
fresh one in which it will generally pay him to renege (provided this is
a one-off episode).
The best macroeconomic example is the announcement of a tough
anti-inflation policy, which causes people to expect low inflation in
the future and so to sign moderate wage contracts today. Once the
private sector is committed to moderate wage growth, the government will
be tempted to expand the money supply to achieve higher output growth as
well as not quite so low inflation. Unfortunately this tactic cannot be
repeated indefinitely: people come to realize in advance that the
government will renege, and so they expect high money growth and high
inflation. The government then finds that it has to deliver exactly this
amount of money growth and that attempts to increase output will result
only in higher inflation.
Though it may seem attractive to allow the central bank to exercise
discretion in its attempts to stabilize the economy, the potential
benefits of stabilization may be lost through the failure to carry out
announced policies. Recent research by Paul Levine and Programme
Co-Director David Currie (reported in Discussion Papers No. 94 and 102)
and by David Backus and CEPR Research Fellow John Driffill has examined
whether a government's concern for its reputation would be enough to
limit the temptation to renege on its policy announcements. We do not
yet have firm answers because it is not easy to model convincingly the
behaviour of political decision-makers or political parties, although I
have attempted to do so in Discussion Paper No. 79. I would conjecture
that reputation, though important, is not enough to limit the abuse of
discretion.
The implications for stabilization policy are clear. Stabilization
policy is in practice always discretionary; there are no cases known to
me where a pre-committed stabilization policy rule has been adopted.
Therefore the scope for backsliding or 'U-turns' is greater when
stabilization responses are permissible. It is minimized when rules,
which in practice should be simple and fixed rules, are enforced by some
higher authority such as a constitutional court.
The social welfare functions used for assessing optimal stabilization
policy are usually simple functions of what appears to concern
policy-makers, i.e. output or unemployment and inflation. But is this
how policy-makers should act? In a world of rational expectations
individuals with the same access to macroeconomic information as the
government may be presumed to have reacted to this information in an
optimal fashion already. If shocks occur, individuals should
react. If, for example, oil prices change then certain industries should
contract and others expand: the respective rates of change may not
exactly coincide, so that a recession (or boom) may occur. This
represents an optimal reaction. To smother it would lower welfare.
This argument has been made powerfully by CEPR Research Fellow Michael
Beenstock and also by Thomas Sargent. The argument must be qualified
when there are distortions at a microeconomic level, the most obvious of
which are taxes and unemployment benefits that increase the desired
level of unemployment in the economy. When such distortions are present,
I would argue, welfare will be raised by reducing unemployment below its
'natural' (equilibrium) rate. This would appear to justify stabilization
policy and, in principle at least, the presence of unemployment (or
output) in the social welfare function. Nevertheless it does not follow
that stabilization is preferable to a policy which removes the
distortions. This will only be so if there is some strong political
objection which makes their removal impossible.
I would conclude from these arguments that rational expectations has
weakened but not destroyed the case for monetary stabilization policy.
The conditions for successful policy are difficult to achieve, and the
onus of proof has been shifted onto those who wish to pursue it despite
all the difficulties described above.
Rational expectations has changed fundamentally the way economists think
about monetary policy. The channels through which policy operates, the
constraints upon policy, and its potential to stabilize the economy all
look different in the light of rational expectations. But very few of
the insights provided by the hypothesis can be regarded as at all
certain. If anything, money and the institutions that accompany it - the
nominal denomination of contracts and assets - are more of a mystery
than ever before. How can we explain why rational people commit
themselves to arrangements whereby purely nominal shocks will affect the
real quantities they buy and sell? Until we can convincingly unravel
that mystery, we will not be able to claim a firm foundation for a
theory of monetary policy.
Patrick Minford is Edward Gonner Professor of Applied Economics at
the University of Liverpool, a Research Fellow in the Centre's programme
in International Macroeconomics, and a member of the Economic Policy
Panel. The arguments contained in this article are developed at greater
length in CEPR Discussion Paper No. 104 entitled 'Rational Expectations
and Monetary Policy'. Further details of the research described in this
article can be found in Discussion Papers No. 11, 63, 78, 79, 94, 102
and 106.
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