## wpiea2025048-print-pdf

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---

### Executive Summary — Background and contribution
- Motivation: Apply High Frequency Identification (HFI) to a large developing economy, Brazil, focusing on daily market-based inflation expectations, the exchange rate, and sovereign risk premium (CDS).
- Distinctive features:
  - Focus on market-based inflation expectations (high frequency), not surveys.
  - Use of data from a high-debt emerging economy (Brazil).
  - Contrast between “case study” OLS approaches and IV estimations exploiting heteroskedasticity; changes in interest rates around monetary policy meetings are not automatically treated as exogenous.
- Relation to literature: Links to the “tight money paradox” literature (Sargent and Wallace (1981); Leeper (1991); Bianchi and Melosi (2019)). The paper finds no evidence of the tight-money paradox on average for Brazil in the sample and robustness subperiods.

### Institutional and fiscal context
- Key institutional facts:
  - Real Plan stabilization in 1994; peg abandoned in 1999; inflation-targeting with floating exchange rate thereafter; formal central bank independence granted in 2019 (de facto earlier).
  - Long-term inflation expectations as of January 2025 were still 50 bps above the target.
- Fiscal context:
  - Brazil characterized by one of the largest public debts among emerging economies, elevated deficits, and high real interest rates since the 1990s.
  - Simple estimates of the Bohn rule suggest passive fiscal policy is the norm.
- Aggregate finding: Estimated coefficients indicate that a positive/negative interest rate surprise causes inflation expectations to decline/increase by a nontrivial amount.

### Data
- Sample: all weeks between September 2009 and December 2024 (daily Wednesday-to-Thursday changes around Copom meetings).
- Interest rate measure Δi: changes in inter-bank deposit rates (maturities: 30, 90, 180 and 360 days; also reported elsewhere as 1 month, 3 months, 6 months, 12 months).
- Inflation expectations Δπe: derived from private market inflation-indexed instruments (benchmark 1 year ahead; also 2, 3 and 5 years). Measure equals expected return on nominal debt minus coupon of same-maturity inflation-indexed instruments (includes an inflation risk premium).
- Alternative data: Central Bank weekly survey (FOCUS) used for robustness; weekly timing issues noted (participants update mostly on Fridays).
- Other dependent variables: percentage change in BRL/USD exchange rate (ΔE: Wednesday-to-Thursday, positive implies depreciation), Wednesday-to-Thursday change in CDS risk premium (Δrisk).
- Data sources: Sao Paulo Stock Exchange (BM&FBOVESPA), Bloomberg, Brazilian Financial and Capital Markets Association, Central Bank of Brazil (SGS).

### Identification strategy
- Structural system:
  - Main estimating equation: Δπet = α + β Δit + ut.
  - Endogeneity: Δit = γ + δ Δπet + vt. If δ ≠ 0, OLS for β is inconsistent.
- Identification through heteroskedasticity (Rigobon 2003; Rigobon and Sack 2004):
  - Partition sample into C (weeks with Copom meetings) and NC (weeks without Copom meetings).
  - Identifying assumptions:
    - (5) σvC > σvNC (variance of interest-rate shocks higher on Copom dates).
    - (6) σuC = σuNC (variance of inflation expectation shocks equal across partitions).
  - Estimators for β constructed from differences in variance-covariance matrices across partitions (ω12/ω11 or ω22/ω12).
  - Equivalent IV formulation: instrument zi constructed by normalizing Δi and flipping sign across partitions; first-stage (7) and reduced-form (8) expressions documented.
- Tests: variance ratio tests (Rigobon methodology) compare variances in set C and set N for Δi, Δπe, ΔE, Δrisk.

### Tests of identifying assumptions (variance ratios)
- Variance ratios (Ratio of variances C / N) with 99% CI:
  - Δi Maturity 12m: 2.33 [1.65; 3.42]
  - Δi Maturity 6m: 3.40 [2.42; 4.99]
  - Δi Maturity 3m: 4.53 [3.21; 6.65]
  - Δi Maturity 1m: 5.25 [3.73; 7.69]
  - Δπe 1 year: 1.23 [0.88; 1.81]
  - Δπe 2 years: 1.59 [1.13; 2.34]
  - Δπe 3 years: 1.33 [0.95; 1.96]
  - Δπe 5 years: 1.11 [0.79; 1.63]
  - ΔE: 0.92 [0.65; 1.35]
  - Δrisk: 0.85 [0.60; 1.24]
- Interpretation:
  - Variances for Δi differ markedly across subsamples (supports condition (5)).
  - For Δπe, Δt, and ΔE we generally cannot reject equal variances (supports condition (6)), except for the 2-year inflation expectations.
  - Conclusion: identifying conditions hold in most cases and IV via heteroskedasticity should identify causal effects.

### OLS (naive and event-study) results
- Correlation patterns:
  - Full-sample scatter: positive association between Δi and Δπe (naive interpretation could suggest higher rates increase inflation expectations).
  - Copom-only (case study) scatter: slope is negative but not statistically significant.
- Table 3 OLS estimates (Δπe1year on Δi at maturities; coefficients with Newey-West standard errors):
  - Full Sample:
    - 1 month: β 0.16* (se) (0.07)
    - 3 months: β 0.25*** (se) (0.05)
    - 6 months: β 0.24*** (se) (0.03)
    - 12 months: β 0.21*** (se) (0.02)
  - Copom Sample:
    - 1 month: β -0.13 (se) (0.11)
    - 3 months: β -0.09 (se) (0.09)
    - 6 months: β -0.02 (se) (0.06)
    - 12 months: β 0.01 (se) (0.05)
- Interpretation:
  - Naive full-sample OLS coefficients are positive and sometimes statistically significant; without correcting for endogeneity, this could be misinterpreted as evidence of the tight money paradox.
  - Copom-only OLS coefficients are negative or near-zero and not statistically significant; an event-study stopping here would suggest no clear impact.

### IV (heteroskedasticity-based) results and main findings
- All IV estimates in Table 4 are negative with small standard-errors; majority of p-values < 1%.
- Positive interest rate surprises at different maturities are associated with lower inflation expectations at all horizons.
- Key IV coefficient estimates (Dependent variable = Δπ^e; N = 768):
  - Δi (1 month): -0.27*** (se 0.07) for 1 year; -0.64*** (se 0.07) for 2 years; -0.69*** (se 0.08) for 3 years; -0.67*** (se 0.07) for 5 years.
  - Δi (3 months): -0.26*** (se 0.07) for 1 year; -0.60*** (se 0.06) for 2 years; -0.69*** (se 0.07) for 3 years; -0.69*** (se 0.07) for 5 years.
  - Δi (6 months): -0.21*** (se 0.05) for 1 year; -0.45*** (se 0.05) for 2 years; -0.53*** (se 0.06) for 3 years; -0.67*** (se 0.08) for 5 years.
  - Δi (12 months): -0.20*** (se 0.06) for 1 year; -0.43*** (se 0.07) for 2 years; -0.50*** (se 0.07) for 3 years; -0.53*** (se 0.06) for 5 years.
- Magnitude interpretation: a 100 basis point surprise in the interest rate leads to a reduction of between 0.2 to 0.3 percentage points in the 1-year ahead measure of inflation expectations.
- Overall conclusion: IV uncovers a strong and consistent textbook-like impact—monetary tightenings lower inflation expectations on average in the 2009–2024 sample.

### Effect on exchange rate and credit risk (IV results)
- Theoretical concern: higher interest rates could cause currency depreciation via higher default probability.
- Empirical IV evidence (Table 5) does not support "higher rates → depreciation via increased risk" for Brazil.
- Exchange rate (ΔE) IV estimates (Δß interest rate measure):
  - Δß (1 month): -5.64*** (se 0.91)
  - Δß (3 months): -5.10*** (se 0.75)
  - Δß (6 months): -3.93*** (se 0.63)
  - Δß (12 months): -3.42*** (se 0.69)
  - Interpretation: positive interest rate surprises cause an appreciation of the Real against the U.S. dollar.
- ΔCDS (5-year CDS) IV estimates:
  - (1 month) 0.01 (se 0.06)
  - (3 months) -0.03 (se 0.05)
  - (6 months) -0.05 (se 0.04)
  - (12 months) -0.11* (se 0.05)
- Conclusion: IV evidence shows no material increase in CDS following tightenings in the full 2009:2024 sample.

### Robustness tests — summary of key checks and results
- Robustness check 1 — Survey-based inflation expectations (Table 6; Interest rate measure = Δß):
  - Δπ^e_survey (median of all participants): -0.60*** (se 0.17) for 1 month; -0.54*** (se 0.13) for 3 months; -0.43*** (se 0.11) for 6 months; -0.36*** (se 0.12) for 12 months.
  - Δπ^e_survey_top5 (top-5 forecasters): -0.25*** (se 0.10) for 1 month; -0.20*** (se 0.08) for 3 months; -0.13** (se 0.06) for 6 months; -0.09 (se 0.07) for 12 months.
  - Interpretation: survey-based estimates broadly confirm market-based findings.
- Robustness check 2 — Excluding extreme swings in expected inflation (sample reduced to 689 observations; Table 7 highlights):
  - 3 months: Δπ^e 1y -0.07* (se 0.04); Δπ^e 2y -0.47*** (se 0.05); Δπ^e 3y -0.59*** (se 0.04); Δπ^e 5y -0.61*** (se 0.06); ΔE -2.00** (se 0.69).
  - 12 months: Δπ^e 1y -0.12*** (se 0.03); Δπ^e 2y -0.39*** (se 0.05); Δπ^e 3y -0.46*** (se 0.04); Δπ^e 5y -0.46*** (se 0.05); ΔE -0.94* (se 0.48).
- Robustness check 3 — Moving-window sub-samples (six 10-year windows; 3-month interest rate):
  - Δπ^e 1y coefficients: 2009:2019 -0.25*** (se 0.06); 2010:2020 -0.13*** (se 0.05); 2011:2021 -0.17** (se 0.08); 2012:2022 -0.18** (se 0.09); 2013:2023 -0.21** (se 0.10); 2014:2024 -0.19* (se 0.11).
  - Δπ^e 5y coefficients: -0.61*** (se 0.06); -0.56*** (se 0.06); -0.79*** (se 0.09); -0.81*** (se 0.10); -0.85*** (se 0.11); -0.91*** (se 0.13).
  - ΔE/E coefficients: -2.85*** (se 0.73); -3.67*** (se 0.73); -5.50*** (se 0.97); -5.90*** (se 1.06); -7.70*** (se 1.25); -8.79*** (se 1.40).
  - Interpretation: out of 18 entries in Table 8, only one is borderline significant; evidence suggests monetary policy effectiveness has increased over time judging by these rows.
- Robustness check 4 — Dropping Copom dates that coincide with FOMC (32 coincident meetings):
  - C-subsample with 90 data points; NC unchanged; N = 736 for each column in Table 9.
  - Table 9 IV regression highlights:
    - Δi (3 month): Δπ^e 1 year -0.35*** (se 0.07); 2 years -0.82*** (se 0.08); 3 years -0.89*** (se 0.08); 5 years -0.82*** (se 0.08); FX -5.90*** (se 0.95).
    - Δi (12 months): Δπ^e 1 year -0.27.*** (se 0.08); 2 years -0.65*** (se 0.11); 3 years -0.72*** (se 0.12); 5 years -0.71*** (se 0.11); FX -4.98*** (se 1.03).
  - Conclusion: main message remains in this smaller sample.

### Final remarks and key takeaways
- Literature gaps:
  - HFI literature is too US-centric; emerging economy features (shallow credit markets, lack of fiscal credibility, risk premia) can impair transmission.
  - Inflation expectations have been largely neglected despite their importance.
- Contribution: uses Brazilian data to assess the impact of monetary surprises on inflation expectations, bridging the two gaps.
- Principal conclusions:
  - HFI can be successfully applied to an emerging, high-debt economy (Brazil) to identify causal effects on high-frequency inflation expectations, exchange rates, and CDS.
  - After correcting for endogeneity via heteroskedasticity-based IV, monetary tightenings lower inflation expectations on average in the 2009–2024 sample.
  - No average evidence in 2009–2024 that monetary tightenings increase sovereign risk premia or depreciate the exchange rate via higher probability of default.
  - Naive OLS and event-study approaches can give misleading inferences; addressing endogeneity is essential.

*Source: wpiea2025048-print-pdf - 3.2  Effect of monetary surprises on inflation expectations using IV*

### Executive Summary

### Executive Summary

### Background and contribution
- Motivation: High Frequency Identification (HFI) studies have improved understanding of monetary policy shocks, but HFI has rarely been deployed for Emerging Economies; this paper applies HFI to a large developing economy, Brazil.
- Three distinctive features of this paper:
  - Focus on the impact of monetary policy on daily market-based inflation expectations (not survey data); the key variables— inflation expectations, the exchange rate, and sovereign risk premium (CDS)—are high frequency.
  - Use of data from a high-debt emerging economy (Brazil) rather than the usual U.S.-centric literature.
  - Changes in interest rates around monetary policy meetings are not automatically treated as exogenous shocks; the paper contrasts “case study” OLS approaches with IV estimations exploiting heteroskedasticity and documents different results.
- Relation to literature: Connects to the “tight money paradox” literature (Sargent and Wallace (1981); Leeper (1991); Bianchi and Melosi (2019)), which emphasizes fiscal behavior in determining whether higher interest rates raise or lower inflation expectations. The paper finds no evidence of the tight-money paradox on average for Brazil in the sample and robustness subperiods.

### Institutional and fiscal context
- Brazil’s institutional history noted: stabilization in 1994 (Real Plan), abandonment of the peg in 1999, inflation-targeting with a floating exchange rate thereafter; formal central bank independence granted in 2019 (de facto earlier).
- Credibility indicator: long-term inflation expectations as of January 2025 were still 50 bps above the target.
- Fiscal context: Brazil has one of the largest public debts among emerging economies, elevated deficits, and high real interest rates since the 1990s; simple estimates of the Bohn rule suggest passive fiscal policy is the norm.
- Despite this background, estimated coefficients indicate that a positive/negative interest rate surprise causes inflation expectations to decline/increase by a nontrivial amount.

### Data
- Sample: all weeks between September 2009 and December 2024 (daily Wednesday-to-Thursday changes around Copom meetings).
- Interest rate measure Δi: changes in inter-bank deposit rates (maturities: 30, 90, 180 and 360 days; also reported elsewhere as 1 month, 3 months, 6 months, 12 months).
- Inflation expectations Δπe: derived from private market inflation-indexed instruments (benchmark 1 year ahead; also 2, 3 and 5 years). Measure equals expected return on nominal debt minus coupon of same-maturity inflation-indexed instruments (note: includes an inflation risk premium).
- Alternative: Central Bank weekly survey (FOCUS) used for robustness; weekly timing issues noted (participants update mostly on Fridays).
- Other dependent variables: percentage change in BRL/USD exchange rate (ΔE: Wednesday-to-Thursday, positive implies depreciation), Wednesday-to-Thursday change in CDS risk premium (Δrisk).
- Data sources referenced: Sao Paulo Stock Exchange (BM&FBOVESPA), Bloomberg, Brazilian Financial and Capital Markets Association, Central Bank of Brazil (SGS).

### Identification strategy
- Main estimating equation: Δπet = α + β Δit + ut, with potential reverse causality and omitted variable bias; system includes Δit = γ + δ Δπet + vt.
- Problem: if δ ≠ 0, OLS for β is inconsistent; naive OLS may be biased (formula for dβOLS in text).
- Identification through heteroskedasticity (Rigobon 2003; Rigobon and Sack 2004):
  - Partition sample into C (weeks with Copom meetings) and NC (weeks without Copom meetings).
  - Identifying assumptions:
    - (5) σvC > σvNC (variance of interest-rate shocks higher on Copom dates).
    - (6) σuC = σuNC (variance of inflation expectation shocks equal across partitions).
  - Under these assumptions, difference in variance-covariance matrices across partitions yields estimators for β (ω12/ω11 or ω22/ω12).
  - Equivalent IV formulation constructed using normalized Δi and constructed instrument zi (sign flip across partitions); first-stage expression (7) and reduced-form (8) documented.
- Tests of identifying assumptions: variance ratio tests (Rigobon methodology) compare variances in set C and set N for Δi, Δπe, ΔE, Δrisk.

### Tests of identification assumptions (variance ratios)
- Variance ratios (Ratio of variances C / N) and 99% CI (as reported):
  - Δi Maturity 12m: 2.33 [1.65; 3.42]
  - Δi Maturity 6m: 3.40 [2.42; 4.99]
  - Δi Maturity 3m: 4.53 [3.21; 6.65]
  - Δi Maturity 1m: 5.25 [3.73; 7.69]
  - Δπe 1 year: 1.23 [0.88; 1.81]
  - Δπe 2 years: 1.59 [1.13; 2.34]
  - Δπe 3 years: 1.33 [0.95; 1.96]
  - Δπe 5 years: 1.11 [0.79; 1.63]
  - ΔE: 0.92 [0.65; 1.35]
  - Δrisk: 0.85 [0.60; 1.24]
- Interpretation: variances for Δi differ markedly across subsamples (supporting condition (5)); for Δπe, Δt, and ΔE we cannot reject equal variances (supporting condition (6)) except for the 2-year inflation expectations. Thus the identifying conditions hold in most cases and IV via heteroskedasticity should identify causal effects.

### OLS (naive and event-study) results
- Correlation patterns:
  - Full sample scatter suggests a positive association between Δi and Δπe (naive interpretation could suggest higher rates increase inflation expectations).
  - Copom-only (case study) scatter: slope is negative but not statistically significant.
- Table 3 OLS estimates (Δπe1year on Δi measured at different maturities); coefficients and Newey-West standard errors:
  - Full Sample:
    - 1 month: β 0.16* (se) (0.07)
    - 3 months: β 0.25*** (se) (0.05)
    - 6 months: β 0.24*** (se) (0.03)
    - 12 months: β 0.21*** (se) (0.02)
  - Copom Sample:
    - 1 month: β -0.13 (se) (0.11)
    - 3 months: β -0.09 (se) (0.09)
    - 6 months: β -0.02 (se) (0.06)
    - 12 months: β 0.01 (se) (0.05)
- Interpretation:
  - Naive full-sample OLS coefficients are positive and in some cases statistically significant, which—if uncorrected for endogeneity—could be (mis)interpreted as evidence of the tight money paradox.
  - Copom-only OLS coefficients are negative or near-zero and not statistically significant; an event-study stopping at this regression would suggest no clear impact of monetary policy on inflation expectations.

### IV (identification through heteroskedasticity) results and main findings
- Using IV exploiting heteroskedasticity uncovers a strong and consistent textbook-like impact of monetary policy:
  - Estimated coefficients indicate that positive interest-rate surprises cause inflation expectations to decline, and negative surprises cause inflation expectations to increase (described qualitatively in the Executive Summary: "a positive/negative interest rate surprise causes inflation expectations to decline/increase by a nontrivial amount").
  - All coefficients estimated using ID through heteroskedasticity are reported as highly statistically significant (textual statement).
- Exchange rate and risk premium:
  - The analysis for 2009:2024 as a whole does not support the conjecture that tighter monetary policy increases the probability of default or leads to exchange rate depreciation via higher risk premia. The naive OLS yields a positive association between tightenings and risk premia, but IV evidence does not support that mechanism in the full sample.
  - The 2003–2008 period is an exception in other work (Goncalves and Guimaraes (2011) documented opposite results for that earlier period).

### Robustness and scope
- The paper emphasizes that it estimates average effects; monetary policy could have been inefficient at specific moments within the sample even if the average effect is that monetary policy works.
- Robustness tests using different sample periods corroborate the main finding that monetary policy works.
- Additional robustness checks and extensions are documented in later sections (listed in the Contents): IV through heteroskedasticity estimates, exchange rate and risk IV estimates, survey measures of πe, trimming extreme inflation changes, moving window IV regressions, dropping FOMC dates, etc.

### Key takeaways
- HFI can be successfully applied to an emerging, high-debt economy (Brazil) to identify the causal effect of monetary policy shocks on high-frequency inflation expectations, exchange rates, and CDS.
- After correcting for endogeneity via heteroskedasticity-based IV, monetary tightenings lower inflation expectations on average in the 2009–2024 sample.
- No average evidence in 2009–2024 that monetary tightenings increase sovereign risk premia or depreciate the exchange rate via higher probability of default.
- Naive OLS and event-study approaches can give misleading inferences—case-study OLS and IV estimates differ meaningfully—highlighting the importance of addressing endogeneity.

*Source: wpiea2025048-print-pdf - Executive Summary*

### 3.2  Effect of monetary surprises on inflation expectations using IV

### 3.2  Effect of monetary surprises on inflation expectations using IV

### Main IV estimates and interpretation
- All IV estimates in Table 4 are negative and display small standard-errors; majority of p-values are smaller than 1%.
- Positive interest rate surprises at different maturities are associated with lower inflation expectations at all horizons.
- Key coefficient estimates from Table 4 (Dependent variable = Δπ^e):
  - Δi (1 month): -0.27*** (se 0.07) for 1 year; -0.64*** (se 0.07) for 2 years; -0.69*** (se 0.08) for 3 years; -0.67*** (se 0.07) for 5 years. N = 768.
  - Δi (3 months): -0.26*** (se 0.07) for 1 year; -0.60*** (se 0.06) for 2 years; -0.69*** (se 0.07) for 3 years; -0.69*** (se 0.07) for 5 years. N = 768.
  - Δi (6 months): -0.21*** (se 0.05) for 1 year; -0.45*** (se 0.05) for 2 years; -0.53*** (se 0.06) for 3 years; -0.67*** (se 0.08) for 5 years. N = 768.
  - Δi (12 months): -0.20*** (se 0.06) for 1 year; -0.43*** (se 0.07) for 2 years; -0.50*** (se 0.07) for 3 years; -0.53*** (se 0.06) for 5 years. N = 768.
- Magnitude interpretation: using Table 4, a 100 basis point surprise in the interest rate leads to a reduction of between 0.2 to 0.3 percentage points in the 1-year ahead measure of inflation expectations.

### 3.3  Effect of monetary surprises on CDS and the exchange rate

### Findings on exchange rate and credit risk
- Theoretical concern: an increase in interest rates could lead to currency depreciation via higher probability of default.
- Empirical IV evidence does not support "higher rates → depreciation via increased risk" for Brazil.
- Positive interest rate surprises cause an appreciation of the Brazilian currency (the Real) against the U.S. dollar and do not seem to affect the CDS materially.
- Key IV estimates from Table 5 (Interest rate measure = Δß):
  - ΔE (exchange rate): Δß (1 month) -5.64*** (se 0.91); (3 months) -5.10*** (se 0.75); (6 months) -3.93*** (se 0.63); (12 months) -3.42*** (se 0.69).
  - ΔCDS: (1 month) 0.01 (se 0.06); (3 months) -0.03 (se 0.05); (6 months) -0.05 (se 0.04); (12 months) -0.11* (se 0.05).
- Notes: coefficients reported use the 5-year CDS. Results with changes in 1-year CDS are available upon request.

### 3.4  Robustness tests

### Robustness check 1 — Survey-based inflation expectations
- Replace market measures with Central Bank survey expectations (weekly frequency).
- Table 6 results (Interest rate measure = Δß):
  - Δπ^e_survey (median of all participants): -0.60*** (se 0.17) for 1 month; -0.54*** (se 0.13) for 3 months; -0.43*** (se 0.11) for 6 months; -0.36*** (se 0.12) for 12 months.
  - Δπ^e_survey_top5 (top-5 forecasters): -0.25*** (se 0.10) for 1 month; -0.20*** (se 0.08) for 3 months; -0.13** (se 0.06) for 6 months; -0.09 (se 0.07) for 12 months.
- Reassuring result: survey-based estimates using Brazilian data broadly confirm the market-based findings; out of 8 entries in Table 6, only one is not statistically significant. Coefficients are larger in the row using the median of all respondents.

### Robustness check 2 — Excluding extreme swings in expected inflation
- Exclude all Δπ above the percentile 0.95 and below percentile 0.05, reducing sample to 689 observations.
- Table 7 key estimates (Δi used; reporting selected entries):
  - 3 months: Δπ^e 1y -0.07* (se 0.04); Δπ^e 2y -0.47*** (se 0.05); Δπ^e 3y -0.59*** (se 0.04); Δπ^e 5y -0.61*** (se 0.06); ΔE -2.00** (se 0.69).
  - 12 months: Δπ^e 1y -0.12*** (se 0.03); Δπ^e 2y -0.39*** (se 0.05); Δπ^e 3y -0.46*** (se 0.04); Δπ^e 5y -0.46*** (se 0.05); ΔE -0.94* (se 0.48).
- Number of observations is now 689.

### Robustness check 3 — Moving-window sub-samples
- Six different 10-year moving windows with start dates in 2009, 2010, 2011, 2012, 2013 and 2014; use 3-month interest rate in all specifications.
- Table 8 highlights:
  - Δπ^e 1y coefficients: 2009:2019 -0.25*** (se 0.06); 2010:2020 -0.13*** (se 0.05); 2011:2021 -0.17** (se 0.08); 2012:2022 -0.18** (se 0.09); 2013:2023 -0.21** (se 0.10); 2014:2024 -0.19* (se 0.11).
  - Δπ^e 5y coefficients: -0.61*** (se 0.06); -0.56*** (se 0.06); -0.79*** (se 0.09); -0.81*** (se 0.10); -0.85*** (se 0.11); -0.91*** (se 0.13).
  - ΔE/E coefficients: -2.85*** (se 0.73); -3.67*** (se 0.73); -5.50*** (se 0.97); -5.90*** (se 1.06); -7.70*** (se 1.25); -8.79*** (se 1.40).
- Out of 18 entries in Table 8, only one is borderline significant. Over time monetary policy effectiveness appears to have increased judging by the second and third rows.

### Robustness check 4 — Dropping Copom dates that coincide with FOMC
- From 2009 to end-2024, 32 Copom meetings coincide with FOMC meetings.
- Dropping those common dates produces a C-subsample with 90 data points; the NC-subsample is unchanged. N reported in Table 9 is 736 for each column.
- Table 9 key IV regression results (Δπ^e and ΔE/E against Δi):
  - Δi (3 month): Δπ^e 1 year -0.35*** (se 0.07); 2 years -0.82*** (se 0.08); 3 years -0.89*** (se 0.08); 5 years -0.82*** (se 0.08); FX -5.90*** (se 0.95).
  - Δi (12 months): Δπ^e 1 year -0.27.*** (se 0.08); 2 years -0.65*** (se 0.11); 3 years -0.72*** (se 0.12); 5 years -0.71*** (se 0.11); FX -4.98*** (se 1.03).
- The main message of the paper remains in this smaller sample.

### 4  Final remarks

- Literature gaps identified:
  - High-frequency identification (HFI) literature is too US-centric; emerging economy characteristics (shallow credit markets, lack of fiscal credibility, risk premia) can impair monetary transmission.
  - Inflation expectations have been largely neglected despite being a crucial determinant of actual inflation.
- Contribution: this paper uses data from an emerging economy (Brazil) to assess the impact of monetary surprises on inflation expectations, bridging the two gaps noted above.
- On the FTPL and Sargent and Wallace (1981) logic: the paper does not find systematic evidence that monetary policy backfires when fiscal policy is active and debt is elevated using Brazilian data.

*Source: wpiea2025048-print-pdf - 3.2  Effect of monetary surprises on inflation expectations using IV*

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_Source: https://www.imf.org/-/media/files/publications/wp/2025/english/wpiea2025048-print-pdf.pdf_
