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Exchange
Rate Target Zones
Modelling issues
The target zone proposal was first put forward by John Williamson in
1985 and subsequently extended by him with Marcus Miller. It is a
`blueprint' for the coordination of monetary, fiscal and exchange rate
policies among the G7 countries. In its extended form, the target zone
proposal envisages rules for the conduct of monetary and fiscal policy
to stabilize real exchange rates and nominal demand growth. These rules
take the following form. First, countries determine a set of real,
`fundamental equilibrium exchange rates', chosen so as to ensure medium-
to longer-run current account equilibrium. They then set targets for the
growth of nominal demand, taking into account internal and external
policy goals. Interest rate differentials are varied in order to limit
the deviation of currencies from their target levels, aiming to keep
exchange rates within a given band around the target, while the average
level of interest rates across countries is fixed in order to stabilize
aggregate growth of nominal demand around the sum of national targets
for nominal demand growth. In this context, national fiscal policy is
varied with a view to achieving national targets for nominal demand
growth.
On 13 May, CEPR held a workshop to discuss exchange rate target zones,
organized by Marcus Miller, Co-Director of the Centre's International
Macroeconomics programme. The meeting was part of a research programme
on `Macroeconomic Interactions and Policy Design in an Interdependent
World', with financial support provided by the Ford Foundation and the
Alfred P Sloan Foundation.
George Alogoskoufis (Birkbeck College, London, and CEPR) began
the meeting with his paper `On Optimal World Stabilization and the
Target Zones Proposal'. In the context of a theoretical model,
Alogoskoufis compared the performance of optimal policies for world
stabilization with a regime of target zones. The model assumed a similar
economic structure across different nations and allowed countries to
produce both traded and non-traded goods. Nominal wages were imperfectly
indexed to the price level, so that, in the absence of an appropriate
stabilization policy, unanticipated disturbances may impose welfare
losses on the economy. In addition to a standard measure of welfare
loss, a Harberger triangle for the labour market, Alogoskoufis also used
a `Bailey money market triangle', which measures the welfare loss
induced by deviations of interest rates from their long-run equilibrium
due to unanticipated shocks.
When all economies are free to use both monetary and fiscal policy, the
analysis suggested that target zones are the optimal arrangement
relatively fixed exchange rates and independent fiscal policies ensure
the first-best optimum. If countries are unable to use fiscal policy,
however, then a `second-best' outcome resulted, in which overall welfare
is less than the `first-best' outcome (although the loss is minimized).
Thus, in a second-best world, Alogoskoufis argued, the additional
exchange rate constraint imposed by the target zone proposal might
hinder rather than promote world stabilization. He also showed, however,
that if the only economy constrained in its use of fiscal policy is the
largest one the `Stackelberg leader' then the use of target zones might
in fact reproduce the optimal world monetary arrangement quite closely.
David Begg (Birkbeck College, London, and CEPR) pointed out that
Alogoskoufis's model was couched entirely in terms of percentage
deviations of variables from their long-term equilibrium levels. Thus,
in taking the long-run position for granted, Begg argued, the paper was
essentially about exchange rate volatility rather than misalignments,
and it was misalignment i.e. persistent deviations from long-run
equilibrium that the target zone proposal was intended to correct. Begg
also wondered whether a dir ect measure of the welfare loss due to
inflation should have been used in place of the Bailey money market
welfare loss measure: since many components of the money supply are now
interest-bearing, interest rates can no longer be treated as the
opportunity cost of money holding. Alogoskoufis respond ed that his
paper was really concerned with cases where the target zone proposal was
in operation, so that it was unnecessary to model sustained deviations
from equilibrium. Furthermore, he claimed, all his conclusions were
robust to adding inflation into the objective function, and one could
always narrowly define money to exclude interest-bearing deposits. Simon
Wren-Lewis (National Institute of Economic and Social Research and
CEPR) argued, however, that a fully specified model ought to be able to
accommodate persistent deviations from equilibrium, or `fads', rather
than ironing them out from the beginning. Moreover, Wren-Lewis added,
the model was deficient in not setting up any policy conflicts between
the target zone proposal and domestic monetary issues.
John Driffill (University of Southampton and CEPR) suggested that
the analysis was not sufficiently forward-looking and gave too little
attention to the role of capital flows. In essence, Driffill argued, the
model was Mundellian in not allowing flows to have stock effects. David
Begg pointed out that although the model was essentially Keynesian, it
did not fully allow for market imperfections such as adjustment problems
and core inflation. Thorvaldur Gylfason (Institute for
International Economic Studies, Stockholm, and CEPR) pointed out that
the informational requirements in Alogoskoufis's model were very high.
Although it may be reasonable to assume that each country observes its
own supply shocks, a competent `World Central Banker' (the Stackelberg
leader) would have to observe all aggregate supply shocks as well as
world monetary shocks. Thus it might be fruitful to analyse a
`third-best' outcome, where informational requirements were less
stringent.
The second paper, presented by David Currie (Queen Mary College,
London, and CEPR) and Simon Wren-Lewis, was entitled `A
Comparison of Alternative Regimes for International Macropolicy
Coordination'. The paper reported the results of simulation exercises
for the period 1975-84 for the United States, Japan and Germany, using
GEM, the National Institute's Global Econometric Model. One aim of their
analysis was to provide guidelines for a number of quantitative issues
concerning the extended target zone proposal: for example, how fast
should interest rates adjust to exchange rate dis equilibrium? should we
rely on fiscal or monetary policy to control world demand?
The study derived feedback rules and substituted them into GEM in place
of existing equations explaining government expenditure and interest
rates in the G3. These feedback rules stipulated that changes in each
government's expenditure should depend on the level of and change in the
gap between actual and target growth of nominal GNP in that country.
Their optimal parameters were chosen by simulating the model. The
results confirmed the importance of real exchange rates as an
intermediate target. Capacity utilization should play a major role in
setting nominal GNP targets, with fiscal policy used fairly actively to
move nominal GNP growth towards its target. The results also suggested
that the influence of global GNP dis equilibrium on changes in the
target level of world interest rates should be fairly small, mainly
because in GEM the size and timing of interest rate effects vary widely
across countries. Thus, an attempt to reduce global aggregate demand by
raising the general level of interest rates would affect some countries
more than others.
The implementation of `optimal' feedback rules would, Currie and
Wren-Lewis suggested, have led to a significantly better output and
inflation performance in all three countries over the 1975-84 period, if
the GEM model is accepted. In particular, the G3 countries might have
avoided the 1980-1 recession by preventing the large increase in US
interest rates which occurred around 1980. These results, and others
reported in the paper, were model-specific, however, and should be
tested using a different model of the G3. In an earlier paper, Currie
and Wren-Lewis had conducted a sensitivity analysis of changes in the
results produced by varying the objective functions, and had found that
they were reasonably robust. Also, the authors had optimized the
parameters of the feedback rules ex post, using data up to 1984, and
these were then used to evaluate policy over the 1984-6 period; the
results were qualitatively unaffected.
Currie and Wren-Lewis also considered an alternative to the target zones
blueprint, sometimes referred to as the `IMF view', which reverses the
Miller Williamson assignment by using fiscal policy primarily to achieve
external current account equilibrium, while monetary policy stabilizes
nominal demand growth. The authors noted that such a policy should not
really be termed the `IMF view', since the IMF is typically also
concerned with the balance between savings and investment in an economy.
In any event, the target zone blueprint appeared to yield much greater
welfare gains than this alternative scheme. The superior performance of
the target zone proposal depended in part, however, on the presence of
real exchange rate disequilibrium in the objective function; this is
controversial, even though recent research suggests that the hysteresis
effects of exchange rate disequilibrium can be substantial.
Warwick Hood (HM Treasury) suggested that a more complete
analysis might allow for differences in objective functions among the
G3. Wren-Lewis agreed with the spirit of this suggestion, but pointed
out that actual German macro policy for much of this period was a long
way from the optimal solution, so that the optimal German weights would
be rather incredible. Peter Kenen (Princeton University and CEPR)
asked whether this analysis constituted a fair test of the target zone
proposal versus the `IMF view'. He pointed out that the first blueprint
is geared towards real exchange rate targets, while the second is geared
towards current account targets. Kenen also wondered whether it might be
worth examining real tax cuts as the instrument of fiscal policy,
instead of or in addition to public expenditure. On the first of these
issues, Currie argued that the exchange rate and current account targets
examined in their analysis were in fact consistent. On the second issue,
he noted that government spending and tax policies have essentially the
same effects in GEM. Gerry Holtham (Credit Suisse First Boston)
questioned how the government budget constraint was incorporated into
GEM, how the hysteresis effects of different policies were allowed for,
and how the model was closed in terms of incorporating the rest of the
world, besides the G3. George Alogoskoufis pointed out that, if fiscal
policy were not in fact available, then the target zone proposal and the
`IMF' blueprint would be equivalent.
The third paper, entitled `Target Zones, Currency Options and the
Dollar', was presented by Marcus Miller (University of Warwick
and CEPR) and Paul Weller (University of Warwick). The first
section of the paper analysed a (deterministic) Dornbusch exchange rate
overshooting model with the imposition of target zones. The commitment
to keep the nominal exchange rate within a target zone implies that
monetary policy must be adjusted when the fundamentals stray too far
from equilibrium. When this happens, the money supply and exchange rate
must essentially swap roles, the latter being kept fixed at the edge of
the band and the former being adjusted so as to bring the interest rate
differential back to zero.
In the second part of the paper, Miller and Weller analysed the target
zone proposal in the context of a stochastic model of overshooting in
addition to the systematic effect of economic activity, random shocks
are allowed to affect the price level. Using a different model, Krugman
has shown that if fundamentals follow a pure random walk in discrete
time, there is an explicit analytical solution which exhibits `bias in
the band' i.e. the exchange rate is in general closer to the middle of
the band than it would be under a free float. Miller and Weller are able
to extend this result to a continuous-time, stochastic version of the
Dornbusch model, but with two qualifications. First, when the
fundamentals show a systematic tendency to return to equilibrium, then
the explicit analytical solution is no longer applicable and numerical
methods must be used. Second, it appears that, in order to retain
certain characteristics of Krugman's solution, the exact arbitrage
(uncovered interest parity) condition must be replaced by an
approximation.
Finally, Miller and Weller explored a link with the finance literature
to show that the effect of introducing target zones is formally
equivalent to that of a large-scale issue of compound currency options.
In particular, since the top of the band represents a commitment by the
authorities to sell the domestic currency in unlimited amounts against
other major currencies, it essentially constitutes a set of US `call'
options on the domestic currency, with an exercise or strike price equal
to the level of the top of the band. Conversely, the bottom of the band
should be equivalent to a set of US `put' options on the domestic
currency written by the authorities, with a strike price at this level.
Since these options would be worthless so long as the exchange rate
remained within the band, the authorities could, in principle, greatly
enhance the credibility of their exchange rate policy by a free
large-scale issue (i.e. `helicopter drops') of such options.
David Currie particularly welcomed the final section of the paper, which
linked macroeconomic analysis with financial economics, with great
potential for future research. Currie also pointed out that in the kind
of models examined in this paper and by Krugman, random walk exchange
rate fundamentals essentially cointegrate with a random walk price
level, so that the real exchange rate is mean-reverting. Analysis would
be a lot more difficult if, as seems the case in reality, the real
exchange rate were nonstationary. On the use of currency options, Gerry
Holtham noted that if the market view differed from the government view,
then the authorities could continually make profits. He also suggested
that many important problems were absent from Miller and Weller's
analysis. In particular, fundamentals may follow non-stationary
processes. Thus the model might be improved by introducing strongly auto
regressive behaviour in the system. Referring to the paper by Currie and
Wren-Lewis, Holtham pointed out that the simulations were carried out on
a model which may not have high status with policy-makers. On a general
level, he argued that academics often conduct empirical work using
models which do not incorporate intertemporal budget constraints.
Policy-makers may be more concerned with public debt and other
medium-term issues than they are with fine-tuning. Thus the
Mundell-Fleming-type models used in each of the three workshop papers
may be of little interest.
Peter Kenen began his general remarks on the workshop by asking what was
the motivation for analyses similar to Krugman's, such as that of Miller
and Weller. In essence, Kenen argued, the `intra-band dynamics' of such
analyses are uninteresting, because the credibility of the arrangements
is never itself tested. He did, however, find merit in the `equivalence
theorem' linking the target zone proposal and the issue of compound
currency options, but he wondered what implicit assumptions were made
with respect to expectations. In particular, there may be a case for
further incorporating rational exchange rate bubbles or `fads' into such
models, and perhaps making expectations non-homogeneous. In general,
Kenen foresaw two fruitful lines of inquiry in this area the first
involving further work on policy rules, the second involving further
work on how participants in foreign exchange markets actually behave.
Nigel Jenkinson (Bank of England) began his remarks by pointing
out that all the workshop papers had examined `hard' rather than `soft'
target zones, and suggested that it might be worthwhile examining what
differences would arise if the `soft' options were pursued. While
accepting that the Currie and Wren-Lewis analysis was encouraging,
Jenkinson called for further work to allow international differences in
objective functions and to build more stock-flow consistency into the
simulation model. More generally, he argued that there was a problem in
working out an interesting counterfactual to a situation where
policy-makers firmly believe that they are assimilating all available,
relevant information and pursuing flexible policies.
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