The macroeconomic effects of higher oil prices.
Hunt, Benjamin ; Isard, Peter ; Laxton, Douglas 等
Douglas Laxton (*)
The paper uses MULTIMOD to analyse the macroeconomic effects of oil
price shocks, distinguishing between temporary, more persistent, and
permanent shocks. It provides perspectives on several findings in the
literature and the key role of monetary policy in influencing
macroeconomic outcomes. Specific attention is paid to the channels
through which oil price increases can pass through into core inflation,
the implications of delayed policy responses, and the relative merits of
leaning in different directions when the correct policy response is
uncertain.
Introduction
After reaching a 25-year low in February 1999, oil prices rose
sharply over the next two years. Chart 1 plots an historical series for
the real price of oil and is useful for putting this price hike into an
historical context. Corresponding to the spikes in Chart 1, the real
price of oil quadrupled during the first oil price shock of the 1970s,
tripled during the shock at the end of the 1970s, doubled during the
second half of 1990, and tripled during 1999-2000. Given the
macroeconomic developments that followed the oil shocks of the 1970s,
the substantial rise in oil prices during 1999 and 2000 generated
concerns about the prospects for world growth and inflation and
integrally-related questions about the appropriate way for monetary
policy to respond.
In the event, these concerns were overtaken by the pronounced
weakening of the global economy during 2001 and the associated sharp
decline in oil prices. Nevertheless, it is important to pursue a deeper
understanding of the issues. This paper uses the IMF's multicountry
model, MULTIMOD, to analyse the macroeconomic effects of oil price
shocks, with particular focus on the implications for economic activity
and inflation in the industrial countries. The analysis provides
perspectives on several findings in the literature, and on the role of
monetary policy in influencing outcomes. While the focus is on the
effects of increases in oil prices, the framework can be used
symmetrically to analyse the effects of oil price declines.
The macroeconomic turbulence that followed the two major oil price
shocks of the 1970s stimulated a large body of research that has
attempted to estimate the effects of oil price shocks on inflation and
economic activity. (1) This research has found clear negative
correlations between oil prices and aggregate measures of economic
activity, as well as significant correlations between oil prices and
microeconomic data on output, employment, and real wages. In addition,
there is strong evidence of asymmetry in the relationship between oil
price changes and subsequent changes in economic activity.
Empirical research has generated evolving impressions about the
magnitude of oil-price effects on aggregate economic activity and about
the extent to which activity responds symmetrically to oil-price
increases and oil-price declines. The empirical evidence presented in
Hamilton (1983), based on linear VAR models, suggested that exogenous shocks to oil prices had significant effects on real economic activity
in the United States. Subsequently, the fact that the large decline in
oil prices in the mid-1980s did not result in an output boom seemed to
suggest that the relationship had changed. Mork (1989) extended the work
of Hamilton, allowing oil price shocks to have asymmetric effects and
inferring that oil price increases reduced real output while oil price
declines had no effect. Several years later, using data up to 1994,
Hooker (1996) concluded that the relationship uncovered by Hamilton had
broken down and that allowing for asymmetric output response to price
increases and price decreases did not alter th at result. More recently,
Hamilton (2000) has provided clear evidence of nonlinearity - "oil
price increases are much more important than oil price decreases, and
increases have significantly less predictive content if they simply
correct earlier decreases." (2)
Many economists believe that monetary policy is responsible for
generating the observed negative correlation between oil prices and
economic activity, and may have played a role in contributing to the
apparent instability of the correlation over time. Bernanke and others
(1997) provided analysis suggesting that monetary policy has been the
primary reason that oil price increases have had negative output effects
in the United States. (3) Needless to say, the rationale for monetary
policy responses to exogenous increases in oil prices is to contain the
effects on inflation. In that connection, however, recent work by Hooker
(1999) suggests that, in the United States since 1981, oil price shocks
have only affected headline inflation, with no impact on core inflation.
Do these results suggest that monetary policy no longer needs to respond
to oil price innovations? According to the nonlinear relationship
between oil-price movements and output as outlined in Hamilton (2000),
the sharp rise in oil prices over the l ast few years could lead to a
decline in real output growth. However, if Bernanke and others (1997)
and Hooker (1999) are correct, an output decline might appear to be
avoidable. In particular, if core inflation does not respond to oil
price increases, then there might be no need for monetary policy to
tighten, in which case the effects on real economic activity could be
minimal.
MULTIMOD simulations can help shed light on these issues and
provide more general perspectives on both the key channels through which
exogenous oil price innovations affect the macroeconomy and the
associated implications for monetary policy. The main points that our
simulations are designed to illustrate are the following.
First, even if oil price shocks pass through into core inflation,
the response to a temporary oil price increase can look very similar to
the response that would be observed in an economy with no pass-through
of oil price shocks into core inflation. This result suggests that the
empirical evidence from the 1980s and 1990s, as analysed by Hooker
(1999), needs to be interpreted with caution. One possible reason why
the data seem to suggest that oil price shocks no longer have an impact
on core inflation may be the fact that the positive innovations to oil
prices during the 1980s and most of the 1990s were very short lived. A
second possibility is that monetary policy may have reacted differently
to oil shocks during the 1980s and 1990s than it did during the 1970s.
In that connection, Bernanke and others (1997) concluded that the
declines in US output following the 1979 and 1990 oil-price shocks were
largely a result of monetary policy, whereas the recession in 1974-5 was
primarily due to factors other than mon etary policy. To the extent that
this was the case, however, it would not be valid to interpret
Hooker's (1999) findings as providing a rationale for monetary
policy behaviour to change again by no longer responding to oil price
increases. As Lucas (1976) has emphasised, there are dangers in assuming
that estimated reduced-form relationships are invariant to changes in
the behaviour of policy.
A second point that we address is the extent to which the observed
nonlinearity in the relationship between oil prices and macroeconomic
activity might be attributable to asymmetries at the microeconomic
level. In particular, we show that if most of the output effects arising
from oil price shocks are associated with the monetary policy response,
then asymmetric pressures on core inflation, arising perhaps from
asymmetric responses of microeconomic agents to the impact effects of
oil price changes on their real incomes, could help explain the
asymmetric response of economic activity to oil price changes.
We also use MULTIMOD to illustrate that, even when an oil price
increase turns out to be persistent and core inflation responds, a slow
reaction by policymakers will not necessarily magnify the macroeconomic
implications. This raises the possibility that policymakers may have the
luxury of waiting to respond until they see clear evidence that core
inflation is increasing. We emphasise, however, that the scope for delay
depends critically on whether the slow policy response leads private
agents to doubt the inflation-fighting resolve of central banks. This is
illustrated with a simulation showing that the economic dislocation arising from the shock can be magnified if the slow response and the
resulting deterioration in inflation performance lead to (temporary)
erosion of policymakers' credibility.
Finally, to provide some perspective on how policymakers should
respond in the face of uncertainty about wage/price behaviour, MULTIMOD
simulations are used to compare the costs of two types of policy errors
in responding to an oil price hike. The first error results from
policymakers initially assuming that the oil price increase will have no
core inflation effect when core inflation in fact responds positively
and asymmetrically to changes in oil prices, and when monetary policy
credibility can be eroded. The second error is the result of
policymakers initially believing that agents will respond in the most
inflationary manner when in fact they respond in the most benign manner.
Comparing the estimated costs of these two errors suggests that, other
things being equal, policymakers might want to lean in the direction of
high-side assumptions about the extent to which persistent oil price
increases lead to core inflation pressures.
The remainder of the paper is structured as follows. The next
section presents some stylised facts about the behaviour of oil prices.
It is followed by a brief outline of the structure of MULTIMOD and the
channels through which oil price movements can influence the
macro-economy. Simulations of the impacts of oil prices under different
behavioural assumptions are presented in the fourth section, along with
comparisons of the costs of making the two alternative monetary policy
errors described above. Finally, some conclusions are presented in the
last section.
Oil prices
Two measures of oil price changes since the early 1970s are
presented in Chart 1. The first is the quarterly per cent change in the
US dollar price of oil and the second is a net oil price increase series
proposed in Hamilton (1996 and 2000). The latter series measures the
amount by which oil prices in a given quarter exceed their peak value
over the previous twelve months; if they do not exceed the previous
peak, the measure is set to zero. Hamilton (2000) presents evidence
suggesting that his proposed measure performs significantly better in
predicting the impact of oil price changes on real economic activity. A
number of points are worth noting about the behaviour of oil prices
suggested by these measures.
First, the quarterly per cent change in oil prices shows that,
between their sharp decline in the mid- 1980s and 1998, real oil prices
have exhibited several upward spikes. These notable increases, however,
have been very short-lived. This contrasts considerably with the
behaviour of oil prices in the 1970s, when two major increases turned
out to be very persistent. Second, the measure proposed in Hamilton
(1996 and 2000) shows less variability between 1982 and 1998 as it
filters out episodes of short-lived increases. However, it suggests that
the episode of oil price increases that began in early 1999 has the
potential to have significant macroeconomic effects.
In addition to the two points above, analysis presented in Cashin
and others (1999) indicates that the historical behaviour of oil prices
does not allow one to predict how future oil price cycles will evolve.
The severity of price movements provides no information about their
likely duration and the time spent in a current boom or slump provides
no information about the likely future duration of that boom or slump.
Taken together these characteristics of oil prices suggest that, even
though it is difficult to predict how long high oil prices might
persist, the increase that occurred between early 1999 and the end of
2000 could have a significant impact on economic performance. In the
simulation analysis that follows, MULTIMOD is used to illustrate the
potential macroeconomic implications of oil price shocks similar in
magnitude to the recent experience. These simulations consider of price
shocks of various durations as well as alternative assumptions about the
degree of pass-through into core inflation, the p olicy response, and
the possible effects on private agents' perceptions about monetary
policy objectives.
The transmission of oil price shocks in MULTIMOD
An oil price increase can influence macroeconomic behaviour through
several channels. Five of these seem particularly relevant in the first
few years following the shock. First, the transfer of income from
oil-importing countries to oil-exporting countries is expected to reduce
global demand as demand in the oil-importing countries is likely to
decline more than it will rise in the oil-exporting countries. This
reflects an assumption that the propensity to spend in the oil-exporting
countries is likely to be significantly smaller in the short run than in
the oil-consuming countries. Second, the increase in the cost of inputs
to production can reduce the amount of non-oil (potential) output that
can be profitably supplied in the short run, given the existing capital
stock and assuming that wages are relatively inflexible in the short
run. Third, workers and producers may resist declines in their real
wages and profit margins, putting upward pressure on unit labour costs
and the prices of finished goods and ser vices. Fourth, the impact of
higher energy prices on headline price indexes (e.g., consumer price
levels) and the potential for pass-through into core inflation may
induce central banks to tighten monetary policy. And fifth, to the
extent that policy reactions seem inconsistent with announced policy
objectives, the credibility of the monetary authorities may be eroded,
with consequences for inflation expectations and the inflation process.
(4)
MULTIMOD is a multi-regional macroeconometric model developed by
the IMF staff for the primary purpose of analysing alternative scenarios
for the World Economic Outlook (WEO). As such, it is based on annual
data and takes the WEO forecast as an 'exogenous' baseline.
Its construction has gone through several stages. To conserve on space
the simulation results presented in this paper focus only on the United
States and the Euro Area. These results have been based on an extended
Mark III version of MULTIMOD. (5) Modern structural models like MULTIMOD
have been designed to minimise first-order Lucas-critique problems and
to provide insights into the key role of the monetary policy response in
influencing the macroeconomic effects of various exogenous shocks. (6)
MULTIMOD-based analysis of oil-price shocks hinges critically on
the nature of wage/price behaviour and the monetary policy reaction
function. The former is described in detail at the end of this section.
In the extended version of MULTIMOD monetary policy is characterised by
an inflation-forecast-based (IFB) rule. (7) As elaborated below, the
monetary authorities are assumed to set the short-term interest rate in
response to new information about their forecast of inflation and the
magnitude of the output gap.
In characterising the supply side of the economy, MULTIMOD assumes
that production technology uses capital and labour inputs with no
explicit role for inputs of primary or intermediate products. (8) Firms
choose the profit maximising level for the capital stock based on
production technology, input costs, and output prices. In MULTIMOD, the
aggregate absorption price deflator approximates input costs and the GDP
deflator represents the aggregate output price. Consequently, permanent
oil price shocks drive a wedge between input and output prices that
reflects the country's dependence on net imports of oil; and firms
then adjust their desired capital stock accordingly. The new capital
stock is achieved through adjustment in investment flows. In the long
run, the level of potential output will reflect the new level of the
capital stock. In reality, however, capital stock adjustment may occur
much more rapidly than MULTIMOD suggests, as firms have the ability to
retire quickly capital that becomes relatively inef ficient to operate
following an increase in oil prices perceived to be permanent. Costly
reallocation of labour and capital across sectors and the discouraging effect of increased uncertainty on irreversible investment (behavioural
features that MULTIMOD may not adequately capture) have also been cited
in the literature as potentially important supply-side effects of oil
price increases. These considerations suggest that MULTIMOD may
underestimate the short-run effects of positive oil price shocks on
output. Elsewhere we have judgementally adjusted potential output to
allow for such effects, (9) but for present purposes this is not a
matter of concern. (10)
The effects of oil price shocks on CPI and core inflation in
MULTIMOD
This section describes the main channels through which oil price
shocks can have direct inflationary effects in the Mark IIIA version of
MULTIMOD. The discussion focuses on those equations of the model that
play a key role in transmitting the effects of oil-price increases into
the inflation process in the major industrial countries/blocks.
MULTIMOD, like most macroeconomic policy models, relies on a
reduced-form Phillips curve to characterise the behaviour of inflation
in the industrial countries. (11) The model of inflation and inflation
expectations distinguishes between CPI inflation and core inflation,
where core inflation is defined as the rate of change in the GDP
deflator excluding oil and is taken to be the measure on which monetary
policy decisions are based. Although MULTIMOD does not include explicit
wage rates, the dynamics of inflation and inflation expectations are
characterised in a manner that implicitly recognises important features
of wage-setting behaviour (in particular, contracting lags and wage-push
elements), and these equations are sometimes referred to as the
wage/price nexus.
The key equations in MULTIMOD'S reduced-form wage/price
structure are
[[pi].sup.CPI.sub.t] = [[delta].sub.1][[pi].sup.M.sub.t] +
[[delta].sub.2][[pi].sup.C.sub.t] + [[delta].sub.3][[pi].sup.POIL.sub.t]
+[1 - [[delta].sub.1] - [[delta].sub.2] -
[[delta].sub.3]][[pi].sup.CPI.sub.t-1] (1)
[[pi].sup.C.sub.t] = [psi][[pi].sup.e.sub.t+1] + [1 -
[psi]][[pi].sup.C.sub.t-1]
+[gamma][([u.sup.*.sub.t] - [u.sub.t])/([u.sub.t] - [[phi].sub.t])]
+[alpha][[[pi].sup.CPI.sub.t-1] - [[pi].sup.C.sub.t-1]] (2)
[[pi].sup.e.sub.t+1] = [OMEGA][[lambda][[pi].sup.CPI.sub.t+1] + (1
- [lambda])[[pi].sup.c.sub.t+1]]
+(1 - [OMEGA])[[gamma][[pi].sup.CPI.sub.t-1] + (1 -
[lambda])[[pi].sup.c.sub.t-1]] (3)
Here [[pi].sup.CPI] is CPI inflation; [[pi].sup.M] is the rate of
inflation of the domestic-currency price of manufactured imports;
[[pi].sup.POIL] is the rate of inflation of the domestic-currency price
of oil; [[pi].sup.C] is core inflation (non-oil GDP deflator);
[[pi].sup.e] is a measure of expected inflation; [u.sup.*] is the
non-accelerating-inflation rate of unemployment (the NAIRU); u is the
unemployment rate; [empty set symbol] is the minimum absolute lower
bound for the unemployment rate; and [psi], [alpha], [gamma], [OMEGA],
[lambda], [[delta].sub.1], [[delta].sub.2] and [[delta].sub.3] are
parameters.
Table 1 reports the values of the parameters in the model that are
critical for understanding the more direct channels of pass-through of
oil prices into both CPI inflation and core inflation. (12) In
particular, it reports estimates of the parameter values
10[[delta].sub.3], [[delta].sub.2], [[delta].sub.1], [psi], [alpha], and
[lambda] for each country/block, as well as average values for these
parameters across all of the industrial country blocks.
Direct contemporaneous effects of oil price shocks on the CPI
The direct contemporaneous effect of a change in oil prices on CPI
inflation is measured by the parameter [[delta].sub.3] in equation (1).
For presentational purposes, the values of this parameter in Table 1
have been multiplied by a factor of 10 so that they can be reported with
the same number of digits as the other parameter values. As can been
seen in the table, the direct contemporaneous effects of an increase in
[[pi].sup.POIL] on [[pi].sup.CPI] are significantly higher than the
average value in the United States and the Euro Area; and the effects
are significantly smaller than the average parameter estimate in Japan
and the United Kingdom.
Based on the estimates of [[delta].sub.3], Table 2 reports the
contemporaneous direct effects on annual CPI inflation that would result
from a 50 per cent increase in the price of oil. These estimates suggest
that a 50 per cent increase in the price of oil would have a direct
positive effect on annual CPI inflation of 1.3 percentage points in both
the United States and the Euro Area, 0.6 percentage points in both Japan
and the United Kingdom; 0.8 percentage points in Canada and 0.7
percentage points in the block of other industrial countries. (13) Do
such estimates seem plausible?
One common approach used to assess the plausibility of econometric estimates of the direct effect of oil price shocks on the CPI is to
compare them with estimates derived from a more mechanical
direct-accounting approach. This direct-accounting approach is usually
based simply on the weights of gasoline and other petroleum products in
the CPI baskets of these countries. For most countries, the MULTIMOD
estimates are slightly larger than these weights, consistent with the
fact that in some of these countries, increases in the price of
petroleum products may result in increases in prices of other energy
sources such as electricity and natural gas.
Direct dynamic effects of oil price shocks on the CPI and core
inflation.
The equations described above can be used to study the direct
dynamic effects of oil prices on both CPI and core inflation. The
structure of MULTIMOD's inflation block allows for oil price
movements to flow into core inflation [[[pi].sup.C]] through two
possible channels.
The first channel is an expectations-channel with the potential
impact given by the parameter [lambda]. Indeed, as can be seen in
equation 3, if [lambda] was equal to zero the inflation expectations
variable [[[pi].sup.e]] that enters the core inflation equation would
depend entirely on expected changes in the non-oil GDP price deflator and there would be no role for the CPI to influence core inflation
through expectations. This extreme case might seem completely
unrealistic given that many contracts are negotiated in terms of the
CPI. The estimates in Table 1 suggest that the average value of [lambda]
is around 0.5, with the individual estimates ranging from a high of 0.74
in the block of other industrial countries to a low 0.31 for Japan.
The second channel is measured by the parameter [alpha] and
represents the degree of real-wage catch-up in the bargaining process.
For example, a value of [alpha] equal to zero would imply that workers
do not attempt to resist reductions in their real consumption wage. The
average value for [alpha] is 0.26 in MULTIMOD and ranges from a low of
0.09 in Japan to a high of 0.42 for the United Kingdom.
To illustrate the nature of pass-through to core inflation in
MULTIMOD, Chart 2 reports some dynamic impulse response functions for
[[pi].sup.CPI] and [[pi].sup.C] for the same oil price shock discussed
earlier (a permanent 50 per cent increase) under different assumptions
about [alpha] and [lambda]. These estimates of impulse response
functions are based on three additional assumptions. First, it is
assumed that the oil price shock is an innovation to the world price of
oil and that changes in the domestic price of crude oil, measured by
[[pi].sup.OIL], also reflect any induced changes in the nominal exchange
rate that might result from the oil price shock. Second, for the purpose
of this experiment, it is assumed that both the unemployment gap
[[u.sup.*] - u] and the real exchange rate are fixed. The latter
assumption is implemented by adjusting import prices and the domestic
price of oil one-for-one with any change in the non-oil price deflator.
These assumptions are obviously unrealistic, but they are us eful for
illustrating some of the key linkages in the model.
No pass-through into core inflation
The short-dashed lines in Chart 2 report the impulse response
functions for [[pi].sup.CPI] and [[pi].sup.C] when [alpha] and [lambda]
are set equal to zero and the other parameters are set at their average
values for the industrial countries. In this case, because there are no
catch-up effects [[alpha] = 0] or any effects of changes in CPI
inflation on the expected inflation term [[lambda] = 0] there are no
effects on core inflation. Consequently, CPI inflation rises by 0.9
percentage points in the first year and then reverts back to control
very quickly. Under this choice of parameter values, market participants
implicitly believe that the change in the oil price will require changes
in relative prices in the economy without any significant change in core
inflation, and that workers will not resist the relative price changes.
Obviously, under these optimistic assumptions, it would not be necessary
for monetary policymakers to tighten real monetary conditions (and
create an excess-supply gap in the labour mar ket) to contain pressures
on core inflation.
Base-case pass-through into core inflation in
MULTIMOD
The solid lines in Chart 2 report the impulse response functions
for [[pi].sup.CPI] and [[pi].sup.C] when [alpha] and [lambda] are equal
to 0.26 and 0.48 respectively -- the average values in MULTIMOD. Under
these parameter values, there would be significant long-term effects on
both CPI inflation and core inflation if policies were successful in
holding both the real exchange rate and the unemployment gap fixed.
Indeed, in this case even the direct impact effect on the CPI is 0.1
percentage point greater than the case where [alpha] and [lambda] are
equal to zero. This reflects the fact that inflation expectations are
determined partly by a model-consistent component that increases in
response to the increase in oil prices. As can be seen in the second
panel of chart 2, these assumptions result in a gradual increase in core
inflation by 0.8 percentage points within three years, and both CPI and
core inflation stabilise at rates that are permanently higher by 0.8
percentage points. Under these assumptions abou t pass-through, an
attempt by the monetary authorities to offset the deleterious effects on
real activity by holding the unemployment gap fixed would result in an
ongoing wage-price spiral and a permanently higher rate of inflation. A
clear implication is that when there is any significant pass-through
into core inflation, monetary policy must at some point tighten real
monetary conditions if it wants to avoid a permanent increase in
inflation, other things being equal. Chart 2 also includes an
intermediate case where inflation expectations are assumed to be
determined partly by CPI inflation [[lambda] is still 0.48], but the
real-wage catch-up term has been turned off [[alpha] is imposed to be
zero]. As can be seen in the chart, the long-run effects on inflation
are about 0.4 percentage points, or about one half of the magnitude of
the base-case result in which the two channels are functioning.
The impact of this shock on individual countries ill depend on how
their parameter values compare with the average. The parameters reported
in table 1 indicate ate that the United States and the Euro Area will
experience larger than average effects, the United Kingdom and other
industrial countries will experience close to a average effects, with
Japan and Canada experiencing below average effects. The simulation
analysis presented in the remainder of the paper will focus exclusively
on the United States and the Euro Area, the two largest economic areas
in the world and the cases in which the largest impacts are felt. The
results for a broader rang of countries are reported in Hunt, Isard and
Laxton (2001).
MULTIMOD simulations
This section presents several sets of MULTIMOD simulations. The
first set of simulations describes the responses of real GDP and
inflation to oil-price shocks of different duration, based on the
estimated parameters of the model. The second compares the model's
responses to transitory and more persistent oil-price shocks under two
alternative structures of the wage/price nexus. The third set of
simulations illustrates how asymmetric responses by microeconomic agents
to changes in their real wages might help explain the observed nonlinear
relationship between oil prices and macroeconomic activity. The fourth
explores the implications of delaying the monetary policy response to a
persistent increase in oil prices under both exogenous private-sector
perceptions about the objectives of monetary policy and an alternative
formulation that makes those perceptions endogenous. The last set of
simulations explores the policy implications of uncertainty about the
nature of estimated behavioural relationships.
Responses to shocks of different duration
We first consider how real GDP and inflation would be likely to
respond to oil-price shocks of three different durations. Under the
first oil-price innovation, here referred to as a temporary shock, the
price of oil increases by 50 per cent in the first year and returns to
baseline in the second year. The second innovation is a more persistent
shock, with oil prices increasing to 50 per cent above baseline for the
first two years and then declining at a steady rate that brings them
back to the baseline level in the sixth year. The third shock involves a
permanent 50 per cent increase in oil prices. The analysis implicitly
assumes that the behaviour of futures prices allows market participants
and policy authorities to identify correctly the types of oil price
shocks to which they are responding.
As noted above, the modelling of inflation and inflation
expectations in MULTIMOD distinguishes between CPI inflation and core
inflation (i.e., the rate of change in the GDP deflator excluding oil)
and includes two separate channels through which the impact effects of
oil price shocks on CPI inflation can pass into core inflation. These
two channels, and the monetary policy reaction functions, have an
important influence on the simulation results reported below.
MULTIMOD's base-case monetary policy reaction functions are
forward-looking inflation-forecast-based (IFB) rules. Specifically, the
nominal short-term interest rate is adjusted -- relative to an
equilibrium nominal interest rate -- in proportion to the deviation of
observed output from potential output and the deviation of forecast core
inflation from an inflation target. (14) The choice of IFB rules rather
than conventional Taylor rules -- which look similar to IFB rules in
most respects but focus on the deviation from target of current
inflation rather than forecast inflation -- reflects a view that central
banks are indeed forward looking in their policy deliberations. It also
reflects formal analysis indicating that conventional Taylor rules are
not as effective in maintaining macroeconomic stability in a world in
which behaviour is moderately nonlinear and private agents form their
expectations in a (partially) forward-looking manner. (15)
Chart 3 presents the simulated outcomes for real GDP, GPI inflation, and core inflation in the United States and the Euro Area
under the three different shocks. (16) The three shocks have similar
first-year effects on CPI inflation, which closely reflect the weights
of oil in the two countries' CPIs. Inflation subsides more
gradually under the permanent shock than under the persistent shock,
while the temporary shock leads to below-baseline inflation when oil
prices decline in year two and for a period thereafter. The similarity of the responses in the United States and the Euro Area reflects the
combination of a significantly higher degree of resistance to
real-income declines in the United States and a significantly greater
responsiveness of expectations to oil-price changes in the Euro Area.
The important points worth noting are that the magnitude of the effect
on real activity and the persistence of the effect on inflation depend
on the shock's duration.
The magnitudes of the simulated effects on GDP and inflation should
be regarded as illustrative. The impact effects on CPI inflation are
realistic, but the other estimates -- while reasonably plausible -- are
obviously sensitive to MULTIMOD's descriptions of the wage/price
nexus and the behaviour of monetary authorities. It may be noted here
again, as discussed in the third section, that several considerations
suggest that MULTIMOD may somewhat underestimate the short-run
supply-side effects of oil-price shocks on output. In other simulations,
potential output has been judgementally adjusted to allow for these
effects, but that is not done in this paper, since the main interest
here is in relative magnitudes and qualitative results. (17)
The strength of the pass-through into core inflation
The simulations presented in this section are intended to provide
perspectives on one of the puzzles that has emerged in empirical
investigations of the effects of oil-price shocks -- in particular, the
finding that oil price shocks during the 1980s and 1990s had little
apparent influence on core inflation in the United States. (18) For this
purpose we present simulations that combine two sets of assumptions
about the wage/price nexus with two sets of assumptions about the time
profile (duration) of the oil-price shock. The first version of the
wage/price nexus 'turns off' the channels that allow oil price
shocks to pass through into core inflation, the second version allows
these channels to operate under the estimated parameters of the model,
and the two shocks correspond to the temporary shock and the more
persistent shock defined earlier.
The simulation results are reported in table 3. The main conclusion
that we draw from these simulations is that when the shock is temporary,
the responses of output and inflation under the two different wage/price
structures are similar; the most significant difference is in the core
inflation outcome for the United Sates because it has a relatively large
estimated real-wage catch-up effect. This point deserves emphasis when
interpreting empirical evidence on the effects of oil-price shocks
during the 1980s and 1990s. Many of the shocks to oil prices that
occurred during those decades lasted only one or two quarters -- less
than the one-year duration built into the MULTIMOD simulations. While it
se ms reasonable to assume that downward pressures on real incomes that
last for a year or longer would star to have observable effects on the
outcomes of the wage-bargaining process, the real-wage catch-up effect
of oil-price shocks may not have been important in the ate 1980s and
1990s, when oil-price shocks were ve ry short-lived. (19) In a world
with many other shocks occurring as well, it is easy to understand how
attempts to estimate reduced-form Phillips curves might have trouble
distinguishing between alternative structures of the wage/price nexus.
(20)
Asymmetry in real-income catch-up effects
There is clear empirical evidence of a nonlinear relationship
between oil prices and aggregate measures of economic activity: oil
prices and economic activity are negatively correlated, but oil price
increases tend to be followed by larger changes in activity than oil
price declines. It is also widely believed, with some support from
empirical evidence, that monetary policy has played an important role in
generating the observed relationship.
One hypothesis that could provide a consistent explanation would be
that workers respond asymmetrically to oil-price increases and oil-price
declines, pushing for higher wages to resist the declines in their real
consumption power that result from positive oil price shocks, but not
resisting the increases in real consumption power that result from oil
price declines. This hypothesis, which is analogous to the popular
notion that nominal wages are flexible upwards but sticky downwards,
would also provide a rationale for policy reacting asymmetrically to oil
price shocks, and for consequent asymmetry in the behaviour of
macroeconomic activity.
To examine how well the observed relationship between oil prices
and macroeconomic activity can be explained by asymmetry in the
real-wage catch-up effect, we present the model's simulated
responses to both positive and negative oil price shocks under an
asymmetric response to changes in households' real consumption
wage. In this specification of the wage/price nexus, workers resist only
declines in their real consumption wage. (21) To illustrate the effects
of this asymmetry in real-income catch-up effects, we focus on permanent
50 per cent changes (increases and decreases) in the price of oil. (22)
Table 4 presents the simulation results. It is readily apparent
that the asymmetry in the real-wage catch-up effect generates asymmetry
in the responses of output and inflation to the positive and negative
oil price shocks. It is also evident that the degree to which output and
inflation respond asymmetrically to oil price increases and decreases --
as indicated by the ratio of the effects of the positive shock to the
effects of the negative shock -- varies slightly between the United
States and the Euro Area. Since the transmission of oil-price effects
through the expectations-channel is modelled symmetrically, the
different degrees of asymmetry between the two countries can be
attributed largely to the differences in the strength of the real-wage
catch-up effect. This is apparent in the fact that the asymmetries are
more pronounced for the United States than for the Euro Area. It may be
noted that asymmetry in the estimated real-wage catch-up effect does
not, by itself, support the extreme view that positiv e oil-price shocks
have contractionary effects while negative oil-price shocks have no
effect on economic activity. In particular, the simulations suggest that
negative oil-price shocks create downward pressure on core inflation
(through the expectations channel) that allows monetary policy to ease,
thereby stimulating the economy. However, asymmetry in the real-wage
catch-up term does appear to be a potentially significant and plausible
explanation of less extreme characterisations of the observed nonlinear
relationship between oil prices and macroeconomic activity. (23)
The implications of a delayed monetary policy response
Policymakers may have several reasons for delaying or moderating
their responses to large increases in oil prices. First, analysis of
historical experience suggests that it is difficult, if not impossible,
to predict how sustained movements in oil prices might turn out to be.
Second, there is considerable uncertainty about the effects of oil-price
increases on core inflation. These factors may argue against responding
to higher oil prices until they have been sustained for some time and
their macroeconomic effects have become more apparent.
The simulations presented in this section are designed to
illustrate what the possible benefits and potential dangers of delaying
the policy response might be. We use the version of the model that
allows oil price innovations to pass through into core inflation, and
consider the implications of both symmetric and asymmetric real-wage
catch up effects. For certain other cases -- in particular, for shocks
that are very short-lived or for economies in which there is no risk of
pass-through into core inflation -- delaying the policy response is the
right thing to do.
It is widely recognised that the manner in which monetary policy
responds to various shocks to the economy can have an important
influence on inflation expectations. The main potential danger of
delaying the response to an oil price increase stems from the
possibility that delay may weaken the credibility of announced or
perceived policy objectives and have an adverse effect on inflation
expectations. Although modelling the evolution of policy credibility is
a difficult task, analysis that abstracts from credibility issues can be
very misleading.
For purposes of taking credibility issues into account, we compare
simulations based on two alternative formulations of how delayed
monetary policy reactions might affect the process for inflation
expectations. Recall that MULTIMOD's base-case monetary policy
reaction function is a forward-looking inflation-forecast-based rule
under which the nominal short-term interest rate is adjusted (relative
to an equilibrium level) in proportion to changes in the deviation of
observed output from potential output and the deviation of forecast core
inflation from an inflation target. Under this reaction function,
adjustments to changes in the output gap and the inflation forecast
occur with no delay. Moreover, expected inflation is modelled as partly
backward-looking and partly forward-looking, where the forward-looking
component is model consistent in that it depends on the structure of the
model, including the monetary policy reaction function. In the first
formulation of what delayed monetary policy reactions might im ply, we
adopt the extreme assumption that delay has no effect on the inflation
expectations process. In the second formulation, which is intended to
illustrate the possible effects of an erosion of monetary policy
credibility, we add an endogenous element to private agents' point
estimate (perception) of the inflation target that enters the monetary
policy reaction function. The inflation target perceived by private
agents influences their expectations about future inflation, which in
turn influences actual inflation outcomes.
The perceived inflation target is made endogenous in a simple and
admittedly ad hoc manner. Policymakers lose credibility if they do not
respond to the shock and the outcome for core inflation exceeds the
inflation target by more than one-half percentage point. When this
happens, beginning in the next year private agents revise their
perception of the policymaker's target to be equal to the previous
year's core inflation outcome. Private agents continue to base
their perception of the policymaker's target on inflation outcomes
until core inflation is returned to within one-half percentage point of
the 'true' target. Once this occurs, private agents'
perception of the target reverts to the true target. Because this model
of endogenous policy credibility is ad hoc, it is important not to take
the specific magnitudes of its effects too seriously; but the results
provide a useful qualitative picture.
Chart 4 shows the dynamic adjustment paths for output, core
inflation, and the policy interest rate under the assumption of
symmetric real-income catch-up effects, while chart 5 describes the
analogous adjustment paths under asymmetric real-income catch-up
effects. Simulation results are provided for the cases of an immediate
policy response, a delayed response with exogenous policy credibility,
and a delayed response with endogenous policy credibility; in each case
the shock is the persistent 50 per cent increase in oil prices (i.e., an
increase that persists for two years and then erodes over the next three
years, as described earlier). For the cases in which the policy response
is delayed, the interest rate is held unchanged (relative to the
baseline path) for one and a half years, after which it reverts to the
path dictated by the monetary policy reaction function. (24)
The results of delaying the policy response vary somewhat between
the United States and the Euro Area. In general, delaying the policy
reaction -- that is, holding the short-term nominal interest rate
constant and allowing inflation expectations to rise -- has expansionary effects on aggregate demand and GDP in the short run but leads to a much
sharper interest-rate response by he third year, with subsequent
contractionary effects on GDP. Interest rates are lowered as (forecast)
inflation is brought under control, but both interest rates and output
continue to cycle after oil prices revert (in year six) to the baseline
level. The decline in interest rates - to levels below baseline in the
simulations with exogenous credibility - reflects the decline in oil
prices (beginning in year three) and the induced weakening of pressures
on core inflation.
Table 5 reports summary statistics on the cumulative changes after
ten years in output and the core price level. Comparisons of the entries
in the first and second rows for each country indicate the cumulative
effects of delaying the policy response when policy credibility does not
suffer. The cumulative output foregone in these cases is relatively
small in the United Sates but larger in the Euro Area, while the
additional cumulative effect on the core price level ranges from 2.0 to
2.5 per cent. When credibility is endogenous, the cumulative output
losses and price level increases are larger, as indicated by the
differences between the first and third rows for each country.
The most striking implications of endogenous credibility, however,
are not the differences apparent in table 5, but rather the interest
rate implications shown in charts 4 and 5. Under endogenous credibility,
the efforts to restore macroeconomic stability (i.e., to steer economies
back to baseline), after delaying policy responses for a year and a
half, result in short-term interest rates being pushed in the third year
to levels about 2 percentage points above baseline in the United States
and 1.5 percentage points in the Euro Area. (25) While sharp interest
rate hikes might be regarded as successful in averting major cumulative
costs in these hypothetical scenarios, in reality the scope for such an
aggressive tightening of monetary policy is often constrained by
political pressures. In the presence of such constraints, the costs of
delay could be much larger than those summarised in table 5.
Comparative costs of potential policy errors
Given that the optimal policy response to an increase in oil prices
depends so heavily on how private agents respond, what should monetary
authorities assume when they set policy? Is there a danger that oil
price increases will pass through into core inflation, or will oil price
shocks simply result in temporary increases in head me inflation?
Hooker's (1999) evidence for the United States, based on empirical
analysis in a reduced-form Phillips curve framework, suggests that oil
price increases did not affect core inflation during the 1980s and
1990s. However, policymakers may want to interpret this evidence with
caution because the positive oil price shocks that occurred during the
last two decades were very short-lived, and because any impacts on core
inflation may have been mitigated by the response of policy.
It is broadly agreed that policymakers - in responding to oil
prices increases, and in seeking to stabilise the economy more generally
- should carefully monitor a wide range of indicators, and exploit the
best analytic tools available, to try to reduce their uncertainties
about economic behaviour, including the pass-through effects of
inflationary shocks. But even with the best analysis available,
policymakers must make decisions based on very incomplete information
about macroeconomic relationships. Should they base their responses to
increases in oil prices on the reduced-form Phillips curve evidence from
the 1980s and 1990s; or should they respond as if there is potential for
oil prices to influence core inflation? No matter what they assume, they
are likely to be wrong to some degree. If the monetary authorities
expect the inflationary consequences to be more persistent than turns
out to be the case, then policy settings will initially be
inappropriately tight, other things being equal. If, on the other hand,
the authorities initially underestimate the strength of the pass-through
effects into core inflation, then policy may not be tightened enough to
stabilise inflation quickly.
Our purpose in this section is to illustrate that the macroeconomic
costs of these two types of policy errors are of different orders of
magnitude, and that the welfare-maximising strategy is for policymakers
to base their responses on high-side estimates of the degree of
passthrough into core inflation, other things being equal. We
demonstrate this by using MULTIMOD to compare the effects on output and
inflation of the persistent 50 per cent increase in oil prices under two
possible structures for the economy combined with monetary policy
reactions based, alternatively, on correct and incorrect information
about those structures. The first structure has no core inflation
consequences of the oil price increase. Under the second structure, the
oil price shock passes through into core inflation, workers behave
asymmetrically in only resisting the declines in their real wages that
result from changes in oil prices, and the credibility of inflation
objectives is eroded when core inflation deviates significantly f rom
target in association with policy behaviour that does not provide an
adequate response to the shock.
Four simulations are used to generate the estimated costs of making
policy errors. In two of the simulations the policymaker correctly
perceives the inflation process. In the remaining two simulations the
monetary authorities misperceive the structure of the wage/price nexus
for the first two years following the oil price shock, and policy during
those years is based on a forecast of inflation that is generated using
the incorrect model of the inflation process. The consequences of the
policy errors are characterised by the additional macroeconomic
variability that they cause, as measured by differences between the
deviations of output and inflation from baseline in the simulations with
policy errors minus the corresponding deviations from baseline in the
simulations with the same structure of the economy and no policy errors.
We define 'error 1' as the case in which policymakers assume
no pass-through into core inflation when the true structure of the
economy includes the asymmetric real-wage catch-up effect and
credibility is endogenous. 'Error 2' is the case in which
there is no pass-through into core inflation but policymakers base their
reactions on the model of the economy that includes the asymmetric
pass-through structure and endogenous credibility.
Table 6 presents several summary statistics that characterise the
estimated costs of the errors. The characteristics of the experiments
that are summarised are the additional variability that arise from the
policy errors - i.e., the deviations from baseline under the policy
error minus the deviations from baseline under the same structure of the
economy with no policy error. The first two columns of the table report
the additional cumulative changes in output and the core price level
that arise from the errors. The third column of the table reports the
loss that would arise under a quadratic loss function that equally
weights the additional variability in real output and core inflation
arising from the errors. (26)
The table shows that initially making the incorrect assumption that
there are no core inflation effects (error 1) results in a permanent
sacrifice of real output for the United States and the Euro Area. In
these cases the slow response of policymakers implies that output must
be permanently sacrificed to re-anchor inflation expectations at the
target rate. Under the second error, the initial declines in real output
that arise from policy being set too tight are fully recovered once
policymakers (after two years) recognise their error. The price levels
also exhibit more drift under the first policy error than they do under
the second. And since both output and inflation show greater additional
variability under the first error than under the second, the quadratic
loss echoes the result that underestimating the strength of the
passthrough effect is more costly than overestimating it. (27)
Concluding remarks
Oil price shocks posed major challenges for monetary policy during
the 1970s. Subsequently, the price of oil exhibited fairly moderate
variability during much of the 1980s and 1990s, but turned down sharply
after the Asian financial crises erupted. Oil prices bottomed out at a
25-year low in February 1999, then tripled in the period through to
early September 2000. Although the pronounced weakening of the global
economy during 2001 has brought a reversal of much of the oil-price rise
during 1999-2000 and alleviated the associated policy concerns, the
recent episode generated renewed interest in analysing the expected
macroeconomic consequences and risks associated with a rise in oil
prices and the implications for how monetary policy should respond.
This paper has used MULTIMOD to address these issues. It has
distinguished between the effects of temporary, more persistent, and
permanent shocks and has suggested that even the effects of large
permanent oil-price increases can be limited under forward-looking and
well-chosen reactions by the monetary authorities. While the paper
focuses on the effects of increases in oil prices, the framework can be
applied symmetrically to study the implications of oil price declines.
The simulation analysis has developed several perspectives that are
relevant for arriving at well-chosen monetary policy reactions and
avoiding a repeat of the types of experiences that followed the oil
shocks of the 1970s. Three perspectives deserve particular emphasis.
First, experience during the 1980s and 1990s does not provide a valid
basis for dismissing the risk that persistent oil-price increases will
pass through into core inflation. Second, delay in responding to a
persistent oil-price increase can have high macroeconomic costs if it
leads to an erosion of monetary policy credibility. And third, in the
face of significant uncertainties about behavioural relationships,
monetary policymakers should interpret the data in a manner that errs in
the direction of a more aggressive policy response to oil-price
increases, other things being equal.
These conceptual perspectives do not imply that monetary policy
should always respond immediately and/or aggressively to oil price
increases that are expected (based on futures prices) to be persistent.
But they do underscore the importance of carefully monitoring a wide
range of economic indicators to watch for signs that oil-price increases
may be threatening to pass into core inflation, of looking and listening
for any indications that market participants might be beginning to doubt
the credibility of monetary policy, and of exploiting the best analytic
tools available to help narrow uncertainties about the nature and
parameters of key behavioural relationships.
(*.) Research Department, International Monetary Fund. The views
expressed in this paper are those of the authors and do not necessarily
reflect those of the IMF. The authors are grateful to John Helliwell and
Warwick McKibbin for helpful discussions.
NOTES
(1.) See Hooker (1999) and Hamilton (2000) for references.
(2.) Hamilton's (2000) approach to characterising the
relationship between oil price changes and GDP growth is flexible enough
to test a broad class of nonlinear specifications but does not have the
power to distinguish between the different form of the nonlinearity
proposed in Mork (1989), Lee and others (1995) and Hamilton (1996).
Hamilton (2000) also demonstrates that the data support the hypothesis
that oil prices have a linear (symmetric) effect on economic activity
when the analysis is conducted with an instrumental variables regression in which identifiable exogenous disruptions in world petroleum supplies
are used as instruments; this alternative interpretation appeals to the
argument that the distribution of historically-observed exogenous shocks
is asymmetric.
(3.) The methodology of their paper elicited some questions from
participants on the Brookings Panel to which it was presented, but
participants generally accepted the conclusion that the output declines
following oil price shocks had come mainly from monetary policy
responses.
(4.) This list abstracts from induced effects on asset values and
their implications for aggregate demand and supply, and also from the
effects of any induced changes in fiscal position or fiscal policies.
(5.) Laxton and others (1998) describe the Mark Ill version; see
also Isard (2000). The version of Multimod used to conduct the
simulations for this paper is an extended Mark III version referred to
as Mark IIIA. The major revisions included in Mark Illa include: the
incorporation of a Euro Area block; new base-case specifications of the
behaviour of monetary and fiscal policy; and a re-coding of the model
that more easily permits solutions to the model in which countries
choose different steady-state rates of inflation. The Mark IIIA version
contains six industrial country blocks and two developing country
blocks. The six industrial country blocks, the United Sates, the Euro
Area, Japan, the United Kingdom, Canada and the Other industrial
countries have an identical structure with parameter values that are
allowed in some cases to be country specific. The developing country
sectors of MULTIMOD contain highly oversimplified descriptions of
macroeconomic behaviour that serve to ensure the global consistency o f
MULTIMOD simulations but provide only a minimal characterisation of the
channels through which changes in oil prices affect the developing
economies.
(6.) MULTIMOD is by no means completely immune from Lucas Critique problems. The Phillips curve, for example, is a reduced-form equation,
and there is always the possibility that a major change in the pattern
of monetary policy behaviour could lead to significant changes in the
nature of wage and price contracts and the dynamics of inflation
expectations.
(7.) For a discussion of the potential benefits of IFB rules see
Isard, Laxton, and Eliasson (1999), Drew and Hunt (2000), and Clark,
Laxton, and Rose (2001).
(8.) Helliwell (1986, 1987) and McKibbin and Sachs (1991) consider
a more general production function that allows for a more explicit role
for inputs of primary and intermediate products.
(9.) IMF Research Department (2000).
(10.) We would note that the degree of uncertainty about the level
of potential output that could arise from even quite large oil price
shocks seems very small relative to the magnitued of other uncertainties
about potential output.
(11.) Unlike many macroeconometric models, however, MULTIMOD Mark
IIIA's reduced-form Phillips curves are nonlinear with respect to
labour market disequilibria. This feature allows for the possibility
that large policy errors can have first-order welfare implications.
(12.) Equation 1 has been estimated for each of MULTIMOD's
major industrial countries/blocks as part of an unobserved components
model that also includes equations for the deterministic-NAIRU, the
NAIRU, and an Okun's Law relationship between the output gap and
the unemployment gap. The estimation is done using the Kalman filter and
a constrained-maximum-likelihood procedure. Equations 2 and 3 were
estimated with OLS. More details regarding the model and its estimation
can be found in Hunt and others (2002).
(13.) A 50 per cent increase in the price of oil is equivalent to
an increase in [[phi].sup.POIL] of 40.55 because [[phi].sup.POIL] is
defined to be 100 times the first-difference of the log of the oil
price. For changes as large as 50% there can be substantial differences
between changes in logs and per cent changes.
(14.) The reaction function sets the short-term nominal interest
rate equal to an 'equilibrium' nominal interest rate plus 0.5
times the output gap plus 1.0 times the deviation from target of the
one-year ahead forecast for core inflation. The equilibrium nominal
interest rate is defined as an equilibrium real interest rate plus the
expected rate of inflation (as given by equation 3).
(15.) See, for example, Isard, Laxton, and Eliasson (1999).
(16.) The United States and the Euro Area exhibit the largest
overall pass-throughs of oil-price shocks into core inflation, with the
Euro Area experiencing relatively strong transmission through the
expectations channel and relatively weak real-income catch-up effects.
(17.) IMF Research Department (2000).
(18.) Hooker (1999).
(19.) Accordingly, the simulation results presented in table 3 may
overstate the differences that would have arisen under the two
alternative wage/price structures in response to the very temporary
innovations to oil prices that occurred during the late 1980s and 1990s.
(20.) A Monte Carlo experiment could be set up to test this
hypothesis more formally. Artificial data could be generated under the
two alternative model structures allowing the oil price shocks in the
experiment to differ in their persistence. Reduced-form Philips curves
could then be estimated on the artificial data, testing whether the
persistence of the oil shocks mattered for the identification of the
true model.
(21.) The empirical work undertaken in estimating MULTIMOD's
wage/price nexus was unable to identify an asymmetric relationship, and
the base-case version of MULTIMOD Mark IIIA contains a symmetric
specification. The failure to identify an asymmetry is not surprising,
given that an identical parsimonious specification was estimated for
each country/block on annual data with few observations of persistent
declines in oil prices.
(22.) Simulations of persistent shocks (i.e., oil price changes
that dissipate over a 5-year period) generate anomalous results under
our simple characterisation of the asymmetry in wage/price behaviour. In
particular, simulations of persistent increases and declines in oil
prices suggest an even greater asymmetry in the first few years of the
shock than simulations of permanent shocks, with persistent negative
shocks to oil prices leading to declines in output after several years.
The latter anomaly arises because the asymmetry in real-income catch-up
effects has workers trying to lock in the real wage gains that occur
when oil prices initially decline. As oil prices recover, workers resist
the decline in real incomes from their recently improved levels and
monetary policy then needs to tighten to combat the inflationary effect.
(23.) As noted above, another plausible explanation of the observed
nonlinearity is Hamilton's (2000) suggestion that the distribution
of the exogenous component of historically-observed oil-price changes
has been asymmetric, with most exogenous changes in oil prices
consisting of price increases associated with war-induced petroleum
supply disruptions.
(24.) More precisely, the policy setting in the second year is the
average of what would emerge from the case with a one-year delay and the
case with a two-year delay, with the interest rate reverting in the
third year to the path dictated by the policy reaction function.
(25.) Short-term interest rates are pushed up slightly more in the
case of a symmetric real-wage catch-up effect than in the asymmetric
case, but short-rates also decline somewhat more gradually in the latter
case. Long-term interest rates, which reflect projected short rates,
tend to increase somewhat more in the asymmetric case.
(26.) The loss is calculated as the sum, over the first ten annual
observations, of the square of the difference between the two deviations
of real GDP from baseline, plus the square of the difference between the
two deviations of core inflation from target (baseline).
(27.) Applying a 5 per cent annual discount factor or including
interest rate variability with a weight of 0.3 in the loss calculation
does not alter the ranking
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alternative monetary policy rules in a model with capacity
constraints', Journal of Money Credit and Banking 33, I, February,
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Drew, A. and Hunt, B. (2000), 'Efficient policy rules and the
implications of potential output uncertainty', Journal of Economics
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Isard, P. (2000), 'The role of MULTIMOD in the IMF's
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Isard, P., Laxton, D. and Eliasson, A. (1999), 'Simple
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(1998), 'MULTIMOD Mark III: the core dynamic and steady-state
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Lee, K., Ni, S. and Ratti, R. (1995), 'Oil shocks and the
macroeconomy: the role of price variability', Energy Journal, 18,
pp. 39-56.
Lucas, R. E. Jr. (1976), 'Econometric policy evaluation: a
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McKibbin, W. and Sachs, J. (1991), Global Linkages: Macroeconomic
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Mork, K. (1989), 'Oil and the macroeconomy when prices go up
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Political Economy, 97, pp. 740-4.
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Table 1
MULTIMOD base-case parameters
10[[delta].sub.3] [[delta].sub.2]
Average 0.22 0.58
United States 0.31 0.58
Euro Area 0.33 0.44
Japan 0.14 0.73
United Kingdom 0.15 0.69
Canada 0.20 0.61
Other industrial countries 0.18 0.41
[[delta].sub.1] [psi] [alpha] [OMEGA]
Average 0.08 0.54 0.26 0.57
United States 0.08 0.51 0.35 0.53
Euro Area 0.12 0.51 0.12 0.58
Japan 0.06 0.59 0.09 0.60
United Kingdom 0.11 0.58 0.42 0.60
Canada 0.06 0.51 0.16 0.50
Other industrial countries 0.08 0.55 0.42 0.60
[lambda]
Average 0.48
United States 0.48
Euro Area 0.60
Japan 0.31
United Kingdom 0.34
Canada 0.41
Other industrial countries 0.74
Table 2
Contemporaneous direct effects on annual CPI inflation of a 50 per cent
increase in the price of oil (Deviations from control in percentage
points)
Average 0.9
United States 1.3
Euro Area 1.3
Japan 0.6
United Kingdom 0.6
Canada 0.8
Other Industrial Countries 0.7
Note: The measures of inflation in the model in the main text
[[[pi].sup.CPI], [[pi].sup.M], [[pi].sup.POIL], [[pi].sup.c]] are
defined to be 100 times the first-difference of the log of each
variable. This measure of inflation will only be approximately
equal to the percent change in the series when the change is fairly
small.
Table 3.
Temporary versus persistent increases oil prices (shock minus control)
Variable Shock Pass-through Year
to core 1 2
inflation
The United States
GDP Temporary No 0.0 0.0
Yes 0.0 0.0
Persistent No 0.0 0.0
Yes -0.2 -0.4
CPI
Inflation Temporary No 1.3 -0.9
Yes 1.3 -0.5
Persistent No 1.3 0.4
Yes 1.4 0.9
Core
Inflation Temporary No 0.0 0.0
Yes 0.0 0.5
Persistent No 0.0 0.0
Yes 0.2 0.7
The Euro Area
GDP Temporary No 0.0 -0.1
Yes 0.0 0.0
Persistent No 0.0 -0.1
Yes -0.1 -0.4
CPI
Inflation Temporary No 1.4 -0.8
Yes 1.4 -0.7
Persistent No 1.5 0.6
Yes 1.6 1.1
Core
Inflation Temporary No 0.0 0.0
Yes -0.1 0.2
Persistent No 0.0 0.0
Yes 0.2 0.6
Variable Year
3 4 5
The United States
GDP 0.0 0.0 0.0
0.1 0.1 0.1
0.0 0.0 0.0
-0.3 0.0 0.1
CPI
Inflation -0.3 -0.1 0.0
-0.3 -0.2 -0.1
-0.1 -0.3 -0.4
0.4 0.1 -0.2
Core
Inflation 0.0 0.0 0.0
-0.1 -0.2 -0.0
0.0 0.0 0.0
0.5 0.2 0.0
The Euro Area
GDP 0.0 0.1 0.0
0.1 0.2 0.1
-0.1 0.0 0.0
-0.3 0.0 0.2
CPI
Inflation -0.4 -0.2 -0.1
-0.4 -0.3 -0.2
0.0 -0.3 -0.5
0.5 0.1 -0.3
Core
Inflation 0.0 0.0 0.0
-0.1 -0.2 -0.1
0.0 0.0 0.0
0.5 0.2 0.0
Table 4.
The effects of permanent oil price shocks with asymmetry in the
real-wage catch-up effect (shock minus control)
Variable Shock Year
1 2 3 4
The United States
GDP Positive -0.3 -0.5 -0.5 -0.3
Negative 0.1 0.2 0.2 0.1
CPI
inflation Positive 1.4 0.9 0.6 0.4
Negative -1.4 -0.6 -0.3 -0.1
Core
inflation Positive 0.1 0.7 0.5 0.3
Negative -0.1 -0.2 -0.2 -0.1
Short-term
interest rate Positive 1.1 1.0 0.7 0.4
Negative -0.4 -0.5 -0.2 -0.1
The Euro Area
GDP Positive -0.2 -0.6 -0.6 -0.4
Negative 0.1 0.3 0.3 0.2
CPI
inflation Positive 1.6 1.1 0.8 0.5
Negative -1.5 -0.9 -0.6 -0.3
Core
inflation Positive 0.2 0.6 0.5 0.3
Negative -0.2 -0.4 -0.3 -0.2
Short-term
interest rate Positive 1.2 1.2 0.8 0.5
Negative -0.8 -0.9 -0.5 -0.2
Variable Year
5
The United States
GDP -0.2
0.0
CPI
inflation 0.2
0.0
Core
inflation 0.1
0.0
Short-term
interest rate 0.2
0.0
The Euro Area
GDP -0.2
0.1
CPI
inflation 0.3
-0.2
Core
inflation 0.1
0.0
Short-term
interest rate 0.2
0.0
Table 5.
Summary statistics from delayed policy response simulations (percentage
points)
Cumulative change after ten years
RealGDP Core price level
Symmetric Asymmetric Symmetric Asymmetric
real-wage real-wage real-wage real-wage
catch-up catch-up catch-up catch-up
United States
Immediate
response 0.2 -0.6 0.4 0.8
Delayed
response 0.1 -0.8 2.8 3.1
Delayed
response
erodes
credibility -0.3 -1.3 4.2 4.5
Euro Area
Immediate
response 0.7 0.2 0.2 0.3
Delayed
response 0.3 0.0 2.2 2.4
Delayed
response
erodes
credibility 0.2 -0.1 2.8 2.9
Table 6.
Costs of possible policy errors
Error 1 -- erroneously believe no core inflation effects
Error 2 -- erroneously believe core inflation effects
Cumulative change after ten years
(Percentage points) Quadratic loss
(Inflation and
Real GDP Core price level output variance)
United States
Error 1 -0.4 3.0 5.4
Error 2 0.1 -1.9 0.8
Euro Area
Error 1 -0.3 2.0 1.8
Error 2 0.1 -1.8 0.9