Working Paper Series: Inflation Targeting in Brazil Constructing Credibility Under Exchange Rate Volatility
Working Paper Series: Inflation Targeting in Brazil Constructing Credibility Under Exchange Rate Volatility
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Inflation Targeting in Brazil: Constructing Credibility under
Exchange Rate Volatility*
André Minella**
Paulo Springer de Freitas**
Ilan Goldfajn***
Marcelo Kfoury Muinhos**
Abstract
This paper assesses the challenges faced by the inflation-targeting regime in
Brazil. The confidence crisis in the future performance of the Brazilian
economy and the increase in risk aversion in international markets were
responsible for a sudden stop of capital inflows in 2002 that caused a
significant depreciation of the exchange rate. The inflation-targeting
framework has played a critical role in macroeconomic stabilization. We
stress two important challenges: construction of credibility and exchange
rate volatility. The estimations indicate the following results: i) the inflation
targets have worked as an important coordinator of expectations; ii) the
Central Bank has reacted strongly to inflation expectations; iii) there has
been a reduction in the degree of inflation persistence; and iv) the exchange
rate pass-through for "administered or monitored" prices is two times higher
than for "market" prices.
*
This paper was finished in May 2003 and is a shorter and updated version of Minella, Freitas, Goldfajn,
and Muinhos (2002). We thank the participants in the Autumn 2002 Central Bank Economists' Meeting at
the Bank for International Settlements (BIS), in the seminar "Regional and International Implications of
the Financial Instability in Latin America" held in April at University California Santa Cruz, especially
Sebastian Edwards and Reuven Glick, and in a seminar at the Central Bank of Brazil for their comments,
and Richard Clarida for comments in a workshop. We also are indebted to Fabio Araujo, Thaís P. Ferreira
and Myrian B. S. Petrassi for their contributions. We are also grateful to Luis A. Pelicioni, Marcileide A.
da Silva, and Raquel K.P. de S. Tsukada for assistance with data. The views expressed are those of the
authors and not necessarily those of the Central Bank of Brazil.
**
Research Department, Central Bank of Brazil. E-mails: andre.minella@bcb.gov.br,
paulo.freitas@bcb.gov.br, and marcelo.kfoury@bcb.gov.br
***
Former Deputy Governor for Economic Policy, Central Bank of Brazil, and Pontifical Catholic
University of Rio de Janeiro (PUC-RJ). E-mail: goldfajn@uol.com.br
3
1. Introduction
Specifically, we estimate the central bank's reaction function, and find that
monetary policy has been reacting strongly to inflationary pressures. In particular, the
Central Bank reacts to inflation expectations, giving evidence that the monetary policy
is conducted on a forward-looking basis.
1
For the importance of transparency and communication, and an assessment of inflation targeting in
emerging market economies, see Fraga, Goldfajn, and Minella (2003).
4
We show that private sector inflation expectations did not depart significantly
from the country's inflation targets until September 2002, even when faced with
inflationary shocks. We present evidence that the inflation targets have worked as an
important coordinator of expectations. The end of 2002 and beginning of 2003 in turn
represents a period dominated by uncertainties concerning the future conduct of
economic policy. We also find some evidence of a change in inflation dynamics,
namely a reduction in the degree of inflation persistence, which however seems to have
shown some signs of resurgence at the end-2002. We also stress the significant
inflationary pressures stemming from exchange rate volatility. We estimate the pass-
through from exchange rate changes to the inflation rate using a VAR estimation,
showing the higher pass-through for "administered or monitored" prices.
The following section presents an overview of the first three and half years of
inflation targeting. Section 3 assesses the different challenges for the inflation-targeting
regime. Section 4 deals with exchange rate volatility. A final section concludes the
paper.
Macroeconomic policy in Brazil over the past three and half years has consisted
of three basic elements: a floating exchange rate regime, sound fiscal policy, and
inflation targeting. The current inflation-targeting regime was adopted in mid-1999,
after the currency was floated in January of the same year. In the first two years, annual
inflation rates met their targets, having absorbed the initial impact of the exchange rate
depreciation in 1999. The successful transition was supported by a considerable fiscal
improvement, a shift in the primary (non-interest) fiscal balance of the consolidated
public sector from roughly zero in 1998 to a surplus of 3.23% of GDP in 1999, 3.51%
in 2000, 3.68% in 2001, and 3.9% in 2002.
Figure 1 shows actual inflation and the targets for 1999-2002. The inflation rate
is measured by a consumer price index, the IPCA. Brazil's inflation targeting regime
includes tolerance intervals around the central inflation targets. From 1999 to 2002, the
tolerance intervals were 2 percentage points above and below the central target (for
2003 and 2004 the intervals were enlarged to 2.5 percentage points). The inflation rate
was 8.9% and 6.0% for targets of 8% and 6% in 1999 and 2000, respectively.
5
Figure 1
Inflation Targets (upper limit, central target, and lower limit) and Inflation Rate (% p.a.)
14
12.53
12
10 8.94
7.67
8
5.97
6
0
1999 2000 2001 2002
However, in 2001 and 2002, several external and domestic shocks hit the
Brazilian economy with significant impacts on inflation. The inflation rate reached
7.7% in 2001, 1.7 p.p. above the target's upper tolerance interval, and 12.5% in 2002,
more than 5 points above the upper limit.2 In 2001, a domestic energy crisis, the
deceleration of the world economy, the September 11 terrorist attacks in the United
States, and the Argentine crisis generated strong pressures on the exchange rate. In
2002, a further sharp depreciation was driven by increased risk aversion in international
capital markets, and mainly by a confidence crisis related to uncertainties about the
future Brazilian macroeconomic policies under a new government. Rollover rates of
domestic public debt securities diminished considerably, and the Brazilian economy
experienced a “sudden stop” in capital inflows to the country, generating a significant
nominal depreciation of the exchange rate. The country risk premium rose from 750
basis points in April 2002 to a peak of 2,400 basis points at the end of September.
Figure 2 shows the level of the exchange rate since 1998. The exchange rate (measured
in units of local currency per dollar) rose 20.3% and 53.5% in 2001 and 2002,
respectively (equivalent to a depreciation of the domestic currency of 16.9% and
34.8%). In addition to the impacts of the exchange rate depreciation, the energy crisis
from 2001 to the beginning of 2002, and the deregulation of the domestic market for oil
by-products also led to direct inflationary pressures.
2
The reasons for the non-fulfillment of the targets in 2001 and 2002 were explained in open letters of the
Governor of the Central Bank of Brazil to the Minister of Finance, available at www.bcb.gov.br.
6
Figure 2
Exchange Rate Level (R$/US$) - 1998:01- 2002:12 (M onthly Average)
4.00
3.50
3.00
2.50
2.00
1.50
1.00
Mar/98
May/98
Nov/98
Mar/99
May/99
Nov/99
Mar/00
May/00
Nov/00
Mar/01
May/01
Nov/01
Mar/02
May/02
Nov/02
Jan/98
Sep/98
Jan/99
Sep/99
Jan/00
Sep/00
Jan/01
Sep/01
Jan/02
Sep/02
Jul/98
Jul/99
Jul/00
Jul/01
Jul/02
Monetary policy has been faced with an important change in relative prices that
has pushed up the overall inflation rate. The administered by contract or monitored
prices – administered prices, for short – have increased by substantially more than the
other prices – market prices, for short. Considering the period since the start of inflation
targeting in Brazil, the ratio of administered prices to market prices has increased 31.4%
(1999:7 - 2003:2). The administered prices are defined as those that are relatively
insensitive to domestic demand and supply conditions or that are in someway regulated
by a public agency.3
The dynamics of administered prices differ from those of market prices in three
ways: i) dependence on international prices in the case of oil by-products; ii) greater
pass-through from the exchange rate;4 and iii) stronger backward-looking behavior.5
Using the structural model of the Central Bank6 and information concerning the
mechanisms for the adjustment of administered prices, it is possible to estimate the
3
The group includes, among others, oil by-products, fixed telephone fees, residential electricity, and
public transportation. The aggregate weight of administered prices in the IPCA was 28.0% in December
2002.
4
There are three basic links: i) the price of oil by-products for consumption depends on international oil
prices denominated in domestic currency; ii) part of the resetting of electricity rates is linked to changes
in the exchange rate; and iii) the contracts for price adjustments for electricity and telephone rates link
these adjustments, at least partially, to the General Price Index (IGP), which is more affected by the
exchange rate than the consumer price indexes.
5
Electricity and telephone rates are generally adjusted annually, and the contractual clauses usually
stipulate that adjustments should be based on a weighted average of the past change of the IGP price
index and the exchange rate.
6
For an overview of the structural model, see Bogdanski et. al. (2000). Using the aggregate supply curve,
which relates current market price inflation to the expected and past headline inflation, output gap, and
exchange rate change, we estimate the contributions of the exchange rate pass-through and of inertia from
the previous year to the market prices. For the administered prices, the estimation depends on the criteria
used for the price adjustment of specific items.
7
contribution for the inflation rate stemming from exchange rate pass-through, inflation
inertia from the previous year, and inflation of administered prices and market prices
that is not explained by the exchange rate pass-through and the mentioned inertia. Table
1 shows the estimated values for 2001 and 2002. In 2001, 38% of the inflation rate can
be explained by the depreciation of the exchange rate, whereas for 2002 the contribution
of the exchange rate stood at 46%.
Table 1
Contributions for Inflation: 2001-2002.
(In percentage points and in percentage contribution)
2001 2002
Item
Contributions in Percentage Contributions in Percentage
percentage points contribution percentage points contribution
In 2001 and 2002, the Central Bank aimed at minimizing the potential
inflationary effects of the different shocks, mainly the exchange rate depreciation and
the increase in administered prices. The main goal of monetary policy was to limit the
propagation of the shocks to the other prices of the economy. Figure 3 presents the path
of the basic interest rate – the Selic rate – controlled by the Central Bank. Between
March and July 2001, the Central Bank raised the interest rate significantly (375 b.p.),
interrupting the downward trend observed previously. Some improvement in the
macroeconomic context at the beginning of 2002 allowed some reduction in the interest
rate, interrupted by the inflationary pressure coming from the exchange rate
depreciation.
8
Figure 3
Interest Rate (over Selic) - 1999:06 - 2003:02 (%p.a. - montlhy average)
27
25
23
21
19
17
15
Dec/99
Feb/00
Dec/00
Feb/01
Dec/01
Feb/02
Dec/02
Feb/03
Jun/99
Aug/99
Oct/99
Apr/00
Jun/00
Aug/00
Oct/00
Apr/01
Jun/01
Aug/01
Oct/01
Apr/02
Jun/02
Aug/02
Oct/02
We can also verify that there has been a gain in terms of the variability of the
inflation rate, output, and interest rate. Table 2 reports the average, standard error and
coefficient of variation (ratio of standard error to average) for these variables. It
compares the first three and half years of inflation targeting with the Real Plan period
before the adoption of inflation targeting. For the earlier period, the table also reports
the figures for a shorter sample, which excludes the first quarters of the Real Plan,
which were characterized by a transition to stabilization. For the inflation-targeting
period, we also consider a shorter sample that excludes the second half of 2002. The
inflation rate is measured by the IPCA, output by seasonally adjusted GDP, and the
(nominal) interest rate by the Selic rate. We use quarterly data. In the case of GDP, we
use the annualized quarter-over-quarter growth rates. The variability of output and the
interest rate is lower in the inflation-targeting period. The volatility of inflation in turn is
lower if we consider the shorter sample for the inflation-targeting period. This does not
imply necessarily that there have been gains in terms of the trade-off between output
and inflation because this result also depends on the magnitude and variability of the
shocks that hit the economy. On average, output growth is higher and the interest rate is
lower in the inflation-targeting period. The inflation rate is lower in the inflation-
targeting period if we compare it to the whole period before inflation targeting. In the
case of the 1996:01-1999:02 period, the lower average inflation rate is to a large extent
a consequence of the pegged exchange rate regime, which turned out to be
unsustainable in the medium run. When the inflation targeting sample ends in 2002:04,
9
the standard deviation of inflation is higher, reflecting the increase in the inflation rate
in the last months of that year.
Table 2
Average, Standard Deviation and Coefficient of Variation for Inflation Rate, GDP and Interest Rate
Different Periods (Quarterly Data)
Inflation Targeting
1999:3 - 2002:2 7.1 3.0 0.42 2.4 3.5 1.46 18.0 1.4 0.08
1999:3 - 2002:4 8.9 6.0 0.68 2.5 3.3 1.28 18.2 1.6 0.09
3. Constructing credibility
We estimate a reaction function for the Central Bank of Brazil that relates the
interest rate to deviations of expected inflation from the target, allowing also for some
interest-rate smoothing and reaction to the output gap and movements of the exchange
rate:
10
it = α1it −1 + (1 − α1 )( α 0 + α 2 ( Etπ t + j − π t*+ j ) + α 3 yt −1 + α 4 ∆et −1 ) , (1)
where it is the Selic rate decided by the Monetary Policy Committee (Copom), Etπt+j is
inflation expectations and π*t+j is the inflation target, both referring to some period in
the future as will be explained below,7 yt is the output gap, and ∆et −1 is the nominal
We use two sources for inflation expectations. The first one is the inflation
forecasts of the Central Bank of Brazil presented in its quarterly Inflation Report. The
advantage of this source is that the Copom should make interest rate decisions based on
its own inflation forecasts. The forecasts in the Inflation Report are made assuming a
constant interest rate equal to the one decided in the previous Copom meeting.
Therefore, they signal whether the Central Bank should change the interest rate.9 The
second source is obtained from a daily survey that the Central Bank conducts among
financial institutions and consulting firms.10 The survey asks what firms expect for year-
end inflation in the current and in the following years.11
The Brazilian inflation-targeting regime sets year-end inflation targets for the
current and the following two years. Since it is necessary to have a single measurement
of the deviation of inflation from the target, we have used a weighted average of current
year and following year expected deviation of inflation from the target, where the
weights are inversely proportional to the number of months remaining in the year.12
7
Clarida, Galí, and Gertler (1998, 2000) estimate forward-looking reaction functions for the U.S.,
Germany, Japan, U.K., France, and Italy. Instead of using central bank or survey expectations, they
employ a Generalized Method of Moments (GMM) estimation. The reaction function is basically a
forward-looking version of the backward-looking reaction function proposed by Taylor (1993).
8
Estimations using output growth and output gap obtained by extraction of a linear trend were also
performed. The results were similar and are not reported in this paper.
9
Public information about the Copom’s inflation forecasts is available only on a quarterly basis. In order
to obtain monthly figures, it was necessary to interpolate the data.
10
This survey is available at the Central Bank of Brazil website (www.bcb.gov.br). In this estimation, we
use the inflation expectations collected on the eve of Copom meetings, avoiding possible endogeneity
problems.
11
In November 2001 the survey started collecting expectations for the following 12 months as well.
(12 − j ) j
12
Dj = ( E jπ t − π t* ) + ( E jπ t +1 − π t*+1 ) , where Dt is the measure of expected deviation of inflation
12 12
from the target, j indexes the month, and t indexes the year. Observe that Dt does not contain inflation
expectations referring to two years in advance, despite the existence of a target for such period. Given the
shorter lags in the transmission mechanism of monetary policy estimated for the Brazilian economy and
11
Tables 3 and 4 report the estimations using the Central Bank's inflation forecasts
(sample 1999:07-2002:12) and the market forecasts (sample 2000:01-2002:12),
respectively.13 We present three specifications: the first includes only the deviation of
expected inflation from the targets, the second one adds the output gap term, and the
third includes also the 12-month exchange rate change. When relevant, we also compare
the results to an estimation with sample ending in 2002:06 (not shown).
Table 3
Estimation of Reaction Function of Central Bank Using Central Bank's Inflation Expectations
Dependent Variable: Selic Interest Rate Target
Inflation Rate Expectations (deviations from the target) 5.70* 3.54** 2.71***
(3.20) (1.51) (0.87)
Notes: Standard error in parentheses. *, ** and *** indicate the coefficient is significant at the 10%, 5%, and 1% level, respectively.
The first noteworthy result is the high degree of interest-rate smoothing. The
coefficient on the lagged interest rate is between 0.7 and 0.9. Most importantly, the
point estimates of the coefficient on inflation expectations are greater than one and
significantly different from zero in all specifications. Moreover, in the case of the
estimations with market inflation expectations, the coefficient is statistically greater
the higher uncertainty associated with the forecasts, it is reasonable to assume the Copom concentrates on
current and following year forecasts when making interest rate decisions.
13
The data on market expectations for the IPCA are available only as of January 2000.
12
than one, with point estimates around 2.0-2.3 (the p-values for the test that the
coefficient is equal to 1 are 0.012, 0.040, and 0.053 in specifications I, II, and III,
respectively).14 In the case of central bank expectations, the values are less stable across
specifications (from 2.7 to 5.7).15 The estimated coefficient is significantly different
from 1 or close to that (the p-values for the test that the coefficient is equal to 1 are
0.150, 0.101, and 0.058 in specifications I, II, and III, respectively). Therefore, we can
conclude that the Central Bank has been reacting strongly to expected inflation. It
conducts monetary policy on a forward-looking basis, and responds to inflationary
pressures.
Table 4
Estimation of Reaction Function of Central Bank Using Market's Inflation Expectations
Dependent Variable: Selic Interest Rate Target
Inflation Rate Expectations (deviations from the target) 2.32*** 2.09*** 2.05***
(0.53) (0.53) (0.54)
Notes: Standard error in parantheses. *, ** and *** indicate the coefficient is significant at the 10%, 5%, and 1% level, respectively.
14
Favero and Giavazzi (2002) have also estimated a similar reaction function using the market
expectations for a shorter sample. They have found a coefficient equal to 1.78. Silva and Portugal (2002)
have found different results using a different specification. They have compared the inflation-targeting
period with the period of stabilization before inflation targeting, using in the regression a one-month
ahead expected inflation obtained with an autoregressive estimation.
15
If we compare to a sample that ends in 2002:06, the point estimates in that shorter sample are similar
when using market’s expectations, and are lower in the case of central bank’s expectations, although not
statistically different.
13
The coefficient on output gap has the wrong sign, but it is statistically significant
only in one of the specifications. One possible explanation for the negative sign is that
part of the supply shocks that hit the economy led to an increase in inflation and
simultaneously to a reduction in output. This clearly occurred in the case of the
rationing in electricity. Since we observe a simultaneous interest rate increase and
reduction of output, if the inflation expectations term does not capture this change
completely, we tend to obtain negative coefficients for the output gap term.
Furthermore, note that when we include the exchange rate the coefficient becomes not
significant. External shocks tend to generate inflationary pressures at the same time that
tend to decrease output, at least in the short run.
Since mid-2001, 12-month inflation has been above the upper limit of the target
tolerance interval.16 A naive analysis of the inflation-targeting regime in Brazil might
say that this regime has not been successful in controlling inflation. Nevertheless,
inflation outcomes are not a sufficient statistic to evaluate the performance of the
Central Bank given the magnitude of the supply shocks. The evolution of inflation
expectations, and the role of the target are also relevant variables in assessing the
credibility of the Central Bank.
16
The targets are established only for year-end inflation. We have calculated targets for the other months
of the year using linear interpolation.
14
estimated in the previous subsection shows that the Central Bank has been acting
consistently within the inflation-targeting framework. The second condition for
controlling expectations is clear communication with the public. It is important that
private agents understand why actual inflation was above the target and how monetary
policy is being conducted in order to drive inflation back to the target. The Central Bank
of Brazil communicates with the market via informal speeches and formal documents,
such as the minutes of the Copom meetings, which are released one week after the
meetings, and the Inflation Report, which is published on a quarterly basis.
Furthermore, the reasons for the non-fulfillment of the inflation targets in 2001 and
2002 were thoroughly explained in open letters to the Minister of Finance.
The conduct of monetary policy has been based on accommodating the first-
round effects of supply and cost-push shocks. This means monetary policy will allow
relative price movements to affect inflation, but will neutralize the second-round effects.
The Central Bank has developed a methodology that calculates the inflationary impact
of current supply shocks as well as the secondary impact of past shocks (due to inertia
in the inflation process). Since the primary effect is accommodated, the optimal
inflation path may imply that 12-month ahead inflation is above the previous annual
target. Therefore, in this situation, given that the Central Bank is no longer aiming for
the previous inflation target, it uses an "adjusted target". More specifically, the original
target is adjusted in order to take into account the primary effects of the change in
relative prices and of past inertia that will be accommodated. Part of inertia is
accommodated because the Central Bank also takes output volatility into account in its
decisions. The new target is publicly announced.17 Although there is a credibility loss
stemming from the target change itself, the gains in terms of transparency and
communication are more significant. Private agents know the target the Central Bank is
pursuing. Actually, keeping the old target would affect the credibility of the Central
Bank because it could be considered unattainable.
Figure 4 shows the 12-month ahead inflation that is expected by the market, the
12-month ahead target, and the actual 12-month accumulated inflation.18 It is clear that
17
The adjusted targets for 2003 and 2004, 8.5% and 5.5%, were published in the open letter from the
Governor of the Central Bank to the Minister of Finance on 1/21/03 (Banco Central do Brasil, 2003). For
a more detailed explanation of the methodology, see Freitas, Minella, and Riella (2002).
18
We estimate the 12-month ahead expected inflation rate using the expected inflation for the remaining
months of the current year and, for the remaining months necessary to achieve 12 months, the
15
inflation expectations remained below the upper limit of the tolerance interval prior to
the last quarter of 2002. This is true even since the second half of 2001, when actual
inflation surpassed the tolerance interval. The correlation coefficient between the actual
and expected inflation series has increased. From 2000:1 to 2002:1, the correlation is
0.22, but with the sample ending in 2002:12, the value is 0.74. As the graph shows,
since mid-2000, the 12-month ahead inflation expectations have been below the actual
12-month inflation. This indicates that private agents tend to expect that the rise in the
inflation rate will tend to reverse in the medium run. The fact that actual inflation has
been above the value that was expected 12 months ago reflects basically the frequent
and large cost-push shocks that hit the economy during this period. It is noteworthy that
the difficulties the country faced last year impacted inflation expectations more
significantly only in the last quarter of 2002. The median of inflation expectations for
2002 leveled out at around 4.5% through September, but then rapidly deteriorated
afterwards and reached 11% at the end of December. The increase in expectations is
associated with the expected inflationary effects of the strong exchange rate
depreciation and the uncertainties about the future stance of monetary policy under the
new government. It does not seem to reflect lack of credibility of the conduct of
monetary policy during the period, but uncertainty about its maintenance in the near
future.
Figure 4
12-Month Ahead Expected Inflation and Inflation Target, and Previous 12-Month Actual
Inflation
2000:01 - 2002:12 (% p.a.)
14.0
12.0
10.0
8.0
6.0
4.0
2.0
0.0
May-00
May-01
May-02
Nov-00
Nov-01
Nov-02
Sep-00
Sep-01
Sep-02
Mar-00
Mar-01
Mar-02
Jan-00
Jan-01
Jan-02
Jul-00
Jul-01
Jul-02
Central Target Upper limit Lower limit Inflation Expectation Previous Inflation
corresponding proportion of expected inflation for the following year. The 12-month ahead target is
estimated by interpolation.
16
Another source of evidence suggesting Central Bank gains in credibility comes
from evaluation of the role of the targets in expectations formation. We have run OLS
regressions of 12-month ahead market inflation expectations on its own lags, the 12-
month ahead inflation target, the interest rate, and 12-month inflation rate (sample
2000:01-2003:02). Table 5 reports the results for this specification in column I. All
coefficients are statistically significant and have the expected sign. The positive
coefficient on the interest rate may be explained by the reaction of interest rates to
inflationary pressures. When facing a large supply shock, the central bank raises the
interest rate. However, the inflationary effects are not completely eliminated because of
three reasons: i) presence of lags in the monetary policy transmission mechanisms; ii)
the Central Bank also takes output volatility into account in its decisions; and iii) the
Central Bank has acted so as to accommodate first order effects of the change in relative
prices (and neutralize second-order effects). As a result, we observe that interest rate
and inflation expectations move in the same direction. Since the Central Bank reacts to
its own expectations of inflation, interest rate movements also reflect the central bank's
inflation expectations.
Table 5
Estimation of Inflation Expectations
Dependent Variable: Market Inflation Rate Expectations - 2000:1 - 2003:2
Notes: Standard error in parentheses. *, ** and *** indicate the coefficient is significant at the 10%, 5%, and 1% level, respectively.
17
Most importantly, expected inflation reacts significantly to the inflation targets
(coefficient around 1). One could consider that this result could be a consequence of
some correlation between targets and past inflation, but note that the regression also
includes the actual 12-month inflation rate. Therefore, there are indications that the
inflation targets play an important role for expectations. The past inflation term,
however, has a statistically significant coefficient, indicating that past inflation still
plays a role. It is interesting to note that, if we estimate the same regression with the
sample ending in 2002:09, the past inflation term is not significant. Figure 5a shows the
recursive estimation for the coefficient on the past inflation term. It started increasing at
the end of 2001. We can consider that there are two reasons for this behavior. First,
when the economy is hit by a significant inflationary shock, this tends to raise inflation
expectations. Second, in the last months of 2002 and beginning of 2003, when the
recursive estimates present higher growth, private agents assigned some non-trivial
probability to monetary policy under the future government being less strict on
inflation. Since the economy was being hit by inflationary shocks, private agents tended
to consider that the inflationary effects of these shocks would be more persistence over
time. As a result, we observe a higher weight on past inflation in their expectations.
Specifications II, III, and IV also include the 12-month exchange rate change and the
EMBI Plus for Brazil. For a sample ending in 2002:09 (not shown), the EMBI Plus is
not statistically significant, but with the extended sample it becomes significant,
possibly reflecting the effect of the confidence crisis of end-2002. Although the
exchange rate change is not statistically significant, we show its recursive estimates in
Figure 5b, which rise at the end-2002.
Figure 5a Figure 5b
Recursive Estimates of the Coefficient on Recursive Estimates of the Coefficient
Past Inflation on Exchange Rate Change
2.0
1.5 0.08
1.0 0.06
0.5 0.04
0.0 0.02
-0.5
-1.0
0
-1.5 -0.02
-2.0 -0.04
-2.5
Jul-01
Jul-02
Jan-01
May-01
Sep-01
Nov-01
Jan-02
May-02
Sep-02
Nov-02
Jan-03
Mar-01
Mar-02
Jul-01
Jul-02
Jan-01
Mar-01
May-01
Sep-01
Nov-01
Jan-02
Mar-02
May-02
Sep-02
Nov-02
Jan-03
18
The particularity of the transition period to the new government is clear when we
estimate the four specifications with a sample ending in September 2002, and forecast
inflation expectations for the following five months. Figure 6 shows these out-of-sample
forecasts. All of them point to an increase in inflation expectations, but are significantly
below actual inflation expectations, in spite of a adjusted R-squared greater than 0.90.
Figure 6
Actual and Forecast Values for Inflation Expectations (% p.a.)
12
11
10
2
Jul-02 Aug-02 Sep-02 Oct-02 Nov-02 Dec-02 Jan-03 Feb-03
Inflation Expectations Forecast Specification I Forecast Specification IV Forecast + 2 s.e. (I) Forecast - 2 s.e. (I)
Since November 2001, the Central Bank has published 12-month ahead inflation
expectations, which is recorded in Figure 7. In the estimations we have used so far, we
have employed a weighted average of the expectations for the end of the current and
following years. We can see that inflation expectations have reverted since the
beginning of 2003.
In summary, although the actual inflation rate has been above the upper limit of
the tolerance interval in 2001 and 2002, the inflation-targeting regime has been
successful in anchoring expectations. This is a consequence of the credibility gains that
the Central Bank has achieved since the implementation of the inflation-targeting
regime. Only in the fourth quarter of 2002 did inflation expectations depart from the
targets as a result of the confidence crisis. Credibility, however, is still under
construction as it takes time to achieve.
19
Figure 7
12-Month Ahead Inflation Expectations (%p.a.)
16
14
12
10
Aug/02
Apr/02
Apr/03
Jun/02
Jul/02
Sep/02
Nov/01
Nov/02
Mar/02
Mar/03
Feb/02
Feb/03
Jan/02
Jan/03
May/02
May/03
Dec/01
Oct/02
Dec/02
3.3. Change in inflation dynamics
19
It is important to stress that the structural model of the Central Bank used for inflation forecasting
employs quarterly data, and has a different specification: for example, it includes a forward-looking term
for inflation, and a term for output gap instead of unemployment rate.
20
We use seasonally adjusted unemployment rate (criterion seven days) produced by IBGE. The results
are qualitatively similar if we use the raw data or the unemployment rate estimated according to the
criterion of thirty days.
21
Since exchange rate change refers to the 12-month change, the sample starts 12 months after the start of
the stabilization to avoid the inclusion of data from the high inflation period.
20
Table 6 shows a specification that includes only one lag for inflation, and
another that includes two. It is important to stress two aspects of the estimation. First,
dummies for the inflation targeting period that multiply unemployment and the
exchange rate do not enter significantly; therefore, they were excluded from the
estimation. Second, we have included a dummy variable that assumes the value of one
for the last three months of 2002. Without adding this dummy, the residuals in both
specifications present serial correlation. Actually, the end of 2002 is a very peculiar
period, which it is difficult to be fitted by a simple Phillips curve. Figure 8 shows
monthly inflation since 1994. It is evident the change that took place in the mentioned
period.
Table 6
Estimation of Aggregate Supply Curve
Dependent Variable: Monthly Inflation Rate - 1995:08 - 2002:12
Notes: Standard error in parentheses. *, ** and *** indicate the coefficient is significant at the 10%, 5%, and
1% level, respectively. Since exchange rate change refers to the 12-month change, the sample starts in 1995:07
to avoid the inclusion of data b
1Dummy has value one in the inflation-targeting period (1999:06-2002:12), and zero otherwise. It multiplies
the associated variable.
2 Dummy has value one in 2002:10 - 2002:12, and zero otherwise.
21
Figure 8
IPCA - Monthly Change - 1994:09 - 2002:12
3.5
2.5
1.5
0.5
-0.5
-1
Sep-94
Dec-94
Mar-95
Sep-95
Mar-96
Mar-97
Mar-98
Jun-95
Dec-95
Jun-96
Sep-96
Dec-96
Jun-97
Sep-97
Dec-97
Jun-98
Sep-98
Dec-98
Mar-99
Jun-99
Sep-99
Dec-99
Mar-00
Jun-00
Sep-00
Dec-00
Mar-01
Jun-01
Sep-01
Dec-01
Mar-02
Jun-02
Sep-02
Dec-02
From the estimated coefficients on the dummy variables in both specifications,
we can conclude there is a statistically significant change in the constant and in the
coefficient on lagged inflation in the inflation-targeting period. The point estimate of the
autoregressive coefficient in specification I falls from 0.56 to 0.10 in the inflation
targeting period (0.56 minus 0.46). This estimation indicates that there has been a
substantial reduction in the degree of inflation persistence after inflation targeting was
adopted. This implies a lower output cost to curb inflationary pressures and to reduce
average inflation.22 Using recursive estimation for the lagged coefficient, however, we
do not observe a reduction in the coefficient. We have also used time-varying
coefficient estimation for the simple aggregate supply equation. We regress the inflation
rate on its own lag, the unemployment rate, and the exchange rate change, setting the
coefficient on the lagged inflation as time varying. The filtered values for the coefficient
are drawn in Figure 9. We can see a decreasing tendency for the coefficient, except for
the last months of 2002, when it rises rapidly.
22
Note that, although the constant in the regression is higher in the inflation-targeting period, the
unconditional expected inflation (up to a constant referring to the natural unemployment rate) is equal to
1.5 and 1.1 for the periods before and after inflation-targeting adoption using the first specification, and
1.5 and 1.0 employing the second specification.
22
Figure 9
Time-Varying Coefficients for Lagged Inflation Term - Filtered Estimates
1.2
0.8
0.6
0.4
0.2
-0.2
Jan-97
Mar-97
May-97
Sep-97
Jan-98
Mar-98
May-98
Sep-98
Jan-99
Mar-99
May-99
Sep-99
Jan-00
Mar-00
May-00
Sep-00
Jan-01
Mar-01
May-01
Sep-01
Jan-02
Mar-02
May-02
Sep-02
Jul-97
Jul-98
Jul-99
Jul-00
Jul-01
Jul-02
Nov-97
Nov-98
Nov-99
Nov-00
Nov-01
Nov-02
Coefficient Coefficient + 2 s.e. Coefficient - 2 s.e.
The exchange rate change also enters significantly. The coefficient is around
0.08, which, considering the lagged inflation term, generates a 12-month pass-through
of 18% and 9% for the whole sample and for the inflation-targeting period, respectively.
As in the unemployment case, the smaller pass-through in the recent period is a
consequence of the lower degree of persistence in inflation. However, using a recursive
estimation for the coefficient on the exchange rate change, we observe a decline in the
pass-through with the adoption of the floating exchange regime in January 1999 (Figure
10). This result is in line with those in Muinhos (2001), which shows a structural break
in the pass-through coefficient when the exchange rate regime changed. The estimations
in that paper are conducted using a linear and a non-linear Phillips curve. The pass-
through in the same quarter of the exchange rate change fell from more than 50% to less
23
than 10%. In the following section, we present some estimation for the pass-through
using a VAR model and the structural model.
Figure 10
Recursive Estimates of the Coefficient on Exchange Rate Change
1.6
1.4
1.2
0.8
0.6
0.4
0.2
-0.2
-0.4
-0.6
May-97
May-98
May-99
May-00
May-01
May-02
Nov-97
Nov-98
Nov-99
Nov-00
Nov-01
Nov-02
Jan-97
Mar-97
Sep-97
Jan-98
Mar-98
Sep-98
Jan-99
Mar-99
Sep-99
Jan-00
Mar-00
Sep-00
Jan-01
Mar-01
Sep-01
Jan-02
Mar-02
Sep-02
Jul-97
Jul-98
Jul-99
Jul-00
Jul-01
Jul-02
Coefficient Coefficient + 2 s.e. Coefficient - 2 s.e.
Dealing with exchange rate volatility has been one of the main challenges to the
inflation-targeting regime in emerging markets economies. Compared to industrialized
economies, emerging markets seem to be more sensitive to the effects of financial crises
than other countries. Exchange rate market volatility generates frequent revisions of
inflation rate expectations and may result in non-fulfillment of inflation targets. As a
general rule, the actions of the central bank should not move the exchange rate to
artificial or unsustainable levels. Nevertheless, the central bank may react to exchange
rate movements to curb the resulting inflationary pressures and to reduce the financial
impact on dollar denominated assets and liabilities on firms' balance sheets.
24
against the occurrence of this bad equilibrium. If all the burden of the adjustment to
capital outflows during financial crisis is supported by exchange rate depreciation, the
country might have a backward bending exchange rate supply curve with no equilibrium
being possible. They justify foreign exchange rate intervention based on the following
reasons: (i) facilitate adjustment to sudden reductions in capital inflows; (ii) accumulate
reserves; (iii) reduce excessive exchange rate volatility (associated with lower liquidity
in foreign exchange markets); and (iv) raise the supply of exchange rate insurance.
Given the problems associated with exchange rate volatility and the pros of
intervention, the Central Bank of Brazil, like those in other emerging markets
economies, including some that have also adopted inflation targeting, has actually been
implementing a dirty-floating exchange rate policy.23 Interventions are made as
transparent as possible in order to avoid the concern expressed by Mishkin (2000) that
intervention may hinder the credibility of monetary policy as the public may realize that
stabilizing the exchange rate takes precedence over promoting price stability as a policy
objective.
In Brazil, the volatility of the exchange rate has been considerable. From
1999:07 through 2002:12, the exchange rate (monthly average) depreciated on average
1.8% per month, with a standard error of 4.2 and a coefficient of variation (ratio of
standard error to average) of 2.4. The inflationary pressures resulting from exchange
rate depreciation are more related to the magnitude of the depreciation than to the pass-
through coefficient.24 According to the structural model of the Central Bank, the pass-
through to market prices inflation, as a percentage of the observed depreciation, is 12%
after one year of the depreciation. The pass-through to administered prices is estimated
to be 25%, resulting in a pass-through of about 16% for the headline IPCA. In line with
these estimates, between January 2001 and December 2002, the price of the dollar
moved from R$ 1.95 to R$ 3.64, implying an increase of 86.7%. In the same period,
IPCA rose 21.2%. In this sense, Brazil seems to be closer to the lower end of the
estimates done by Haussmann, Panizza and Stein (2001). They estimated the pass-
through accumulated in 12 months for more than 40 countries and found a value below
5% for G-7 countries, and, on the other extreme, figures above 50% for countries like
Mexico, Paraguay and Poland.
23
Calvo and Reinhart (2002) discuss the limited empirical evidence of truly free-floating countries.
24
See Goldfajn and Werlang (2000) for the reasons for the low pass-through in the Brazilian January
1999 devaluation episode.
25
We can also use a VAR estimation with monthly data to assess the pass-through
and the importance of exchange rate shocks to the variability of inflation. We use two
specifications. Both include output, the spread of EMBI+ (Emerging Markets Bond
Index Plus) over Treasury bonds,25 the exchange rate (monthly average), and the interest
rate (Selic rate - monthly average). Output is measured by seasonally-adjusted industrial
production. The inclusion of the EMBI+ was necessary because it is a good indicator for
financial crises, both foreign crises (Mexico, Asia, Russia, Argentina) and domestic
(beginning of 1999), which have an important impact on interest rates. In the first
specification, we use administered and market prices as variables, whereas in the second
we use the consumer price index (IPCA) instead. We estimate the model in levels, that
is, using I(1) and I(0) regressors instead of using the error correction representation.26
The estimation is consistent and captures possible existing cointegration relationships
(Sims, Stock, and Watson, 1990; Watson, 1994). The variables used are the log-levels
of output, administered prices, market prices, IPCA and the exchange rate, and the
levels of the EMBI+ spread and the interest rate.27 We use a Cholesky decomposition
with the following order in the first specification: output, administered prices, market
prices, EMBI+, exchange rate, and interest rate. In the second specification, the
consumer price index substitutes for administered and market prices. Since the financial
variables react more rapidly to shocks, we include them after output and price. We also
conduct the estimate using the interest rate before the exchange rate. The results are
very similar. The sample includes all the period of the Real Plan, from September 1994
through December 2002.28 In order to capture possible changes in the second semester
of 2002, we also estimate the impulse responses using a sample that ends in 2002:06.
26
percentage points. We stress two aspects. First, the responses of administered and
market prices are positive and statistically significant, and the increase in administered
prices is greater than that of market. Second, when the sample includes the last months
of 2002, we notice an increase in the responses, but still inside the confidence interval
of the June sample, which is a kind of stability test for impulse response. Figure 12
shows the responses in the case of the specification that includes the IPCA instead of
the administered and market prices.29 Again we see an increase in the response in the
last months of 2002, but still inside the bands of the June sample.
Figure 12
Impulse Responses of Price Level (IPCA) to an Exchange Rate Shock
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0
1 2 3 4 5 6 7 8 9 10 11 12
Response Sample Jun 02 Response Sample Dec 2002 L. Band Jun 02 U. Band Jun 02
29
The response of price level stabilizes if we consider a 24-month horizon.
27
Using the full sample, the exchange rate increases initially 2.6%, reaching a total
of 4.3% in the second month, and starts decreasing after that. The rise of both
administered prices and market prices reaches a maximum in the eighth month. The
values of the pass-through are presented in Table 7, which records the results for the
sample ending in December 2002. We estimate the pass-through as the ratio of the price
increase in a 12-month horizon to the value of the exchange rate shock. If we consider
the value of the exchange shock in the first month, the pass-through is 32.7% for the
administered prices, and 17% for the market prices (19.7% and 7.8%, respectively, if we
use the shorter sample, which ends in June 2002). Considering the value of the
exchange rate shock in the second month, the pass-through is 22% and 11% (12.1% and
4.8% with the shorter sample). The pass-through for the administered prices is 1.9
higher than that for the market prices (2.5 with the shorter sample). The pass-through to
IPCA was estimated at 17.9 and 11.4% (14.1% and 8.4% with the shorter sample),
considering the first and second month shock, respectively.
Table 7
Pass-Through Considering Different Specifications:
Ratio of Price Change (12-month horizon) to an Exchange Rate Shock
Sample
28
error band). To compare with the Real Plan period, however, we show the point
estimates in Table 7.30 One can see a decrease in the pass-through specially using the
first month exchange rate shock in both administered and market prices31. These results
using a VAR model are in line with those in the recursive estimation of the aggregate
supply curve shown in subsection 3.3 and again in Muinhos (2001).
5. Conclusions
During this period, the regime has faced many challenges, including the
construction of credibility – which is still a work in progress – the change in relative
prices, and exchange rate volatility. Dealing with these challenges has required a large
effort by the Central Bank, which itself has also learned substantially and has improved
the system. The Central Bank has reacted strongly to inflation expectations, consistent
with the inflation-targeting framework. Market expectations have remained under
controlled, even in the presence of inflationary shocks. The estimations also indicate a
reduction in the degree of inflation persistence.
Even with the confidence crisis in the second half of 2002, the inflation targeting
framework supported the burden of the crisis, allowing the nominal exchange rate to
adjust and the interest rate to increase to prevent inflation from persisting in high levels
30
We have used two lags in both specifications. With IPCA and three lags, however, the values are
smaller for the pass-through: 9.6% and 4.8%.
31
With the sample only until June 2002, all the pass-throughs were smaller, and there was no difference
between the Real plan and inflation-targeting periods.
29
in the economy. In view of the intensity and magnitude of the shocks that hit the
Brazilian economy in 2001 and 2002, the cost in terms of output losses of a policy
aimed at completely offsetting these shocks in a short period of time and keeping
inflation within the tolerance intervals would have been significantly higher. The
Brazilian experience has been a successful stress test for the inflation targeting
framework.
30
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Banco Central do Brasil
33
13 Modelos de Previsão de Insolvência Bancária no Brasil Mar/2001
Marcio Magalhães Janot
34
27 Complementaridade e Fungibilidade dos Fluxos de Capitais Set/2001
Internacionais
Carlos Hamilton Vasconcelos Araújo e Renato Galvão Flôres Júnior
35
43 The Effects of the Brazilian ADRs Program on Domestic Market June/2002
Efficiency
Benjamin Miranda Tabak and Eduardo José Araújo Lima
58 The Random Walk Hypothesis and the Behavior of Foreign Capital Dec/2002
Portfolio Flows: the Brazilian Stock Market Case
Benjamin Miranda Tabak
36
60 Delegated Portfolio Management Dec/2002
Paulo Coutinho and Benjamin Miranda Tabak
70 Monetary Policy Surprises and the Brazilian Term Structure of Interest April/2003
Rates
Benjamin Miranda Tabak
37
76 Inflation Targeting in Emerging Market Economies June/2003
Arminio Fraga, Ilan Goldfajn and André Minella
38