Shocks vs Structure:

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Shocks vs Structure: Explaining Differences in Exchange Rate Pass-Through Across Countries and Time Kristin Forbes: MIT, NBER & CEPR Ida Hjortsoe: Bank of England& CEPR Tsvetelina Nenova: LBS ECB Conference Understanding Inflation, Sept. 22, 2017

Motivation Exchange rate pass-through (ERPT): critical for inflation Challenge: Estimating ERPT Well known: varies substantially across countries Less appreciated: can vary substantially over time within a country Can be critically important for forecasting and setting monetary policy Examples: UK & euro 2

Examples Source: Bank of England, Inflation Report, Aug 2017 Source: Speech by Benoit Coeuré, 11/09/17 Key question: how will a given exchange rate movement pass through into inflation? 3

Two Empirical Approaches Structure : Dominant approach Highlights role of relatively stable country characteristics inflation rate & variability, openness, frequency of price adjustments, nominal rigidities, foreign currency invoicing, central bank credibility, monopoly power Yields rules of thumb for ERPT for a country given its characteristics Focus: cross-section dimension (or long time-series) Campa & Goldberg (2005, 2010), Devereux et al. (2015), Gopinath (2015), many others. Shocks : Less common, increasing interest Highlights role of different shocks behind ER movement monetary policy vs. demand vs supply vs risk shocks Yields estimates of ERPT that change over short periods of time Focus: time-series dimension (often limited countries) Shambaugh (2008), Forbes et al. (2015), Comunale & Kunovac (2017) 4

Our Paper Assess relative importance of shocks vs. structural approaches to ERPT Explaining cross-section variation Explaining time-series variation Conclusion: Both shocks and structure important Structural approach most important in cross-section Shocks equally important and sometimes more important in explaining time-series variation Estimates of pass-through for forecasts (and monetary policy) should incorporate both the structural and shocks approaches 5

Today Standard, reduced-form estimates of ERPT Shock-based methodology & estimates of ERPT Estimates of role of structural versus shock variables: Explaining cross-section dimension Explaining time-series dimension Relative magnitudes Conclusions 6

Today Standard, reduced-form estimates of ERPT Shock-based methodology & estimates of ERPT Estimates of role of structural versus shock variables: Explaining cross-section dimension Explaining time-series dimension Relative magnitudes Conclusions 7

Sample 3 criteria Flexible exchange rates IMF AREARs, floating or free floating, 10 years Small open economies No significant effect on world export prices (i.e., not US & EA) Data on key variables required for analysis Quarterly data (short-term interest rates, real GDP, etc) Final sample: 26 countries 11 advanced and 15 emerging Maximum time period: 1990-2015 8

Reduced-Form ERPT Standard approach Campa & Goldberg (2005), Burstein & Gopinath (2014), Gopinath (2015) Distributed lag regression (for full sample period & shorter windows): 4 4 p t = α + β t n s t n n=0 + γ t n www t n n=0 + δ ggg t + ε t p t : quarterly log change in domestic CPI s t : quarterly log change in domestic effective exchange rate index www t : quarterly log change in trade-weighted index of foreign export prices ggg t : quarterly log change in domestic GDP ERPT: sum of the coefficients on all lags of the exchange rate ( β t n τ n=0 ) Usually: time-invariant parameter (historical average) Base case: lags for 4 quarters, OLS with Newey-West standard errors robust to autocorrelation of lags up to 8 quarters 28 variants (controls, lag structures, etc.) 9

Estimates: Reduced-Form ERPT (Long Sample ERPT) 10

Estimates: Reduced-Form ERPT Fixed 6-year windows ADVANCED ECONOMIES 11

Estimates: Reduced-Form ERPT Rolling 6-year windows SELECTED ADVANCED ECONOMIES AU UK -.5 0.5 1 1997q4 2003q4 2009q4 2015q4 date 4 -.2 0.2.4 1997q4 2003q4 2009q4 2015q4 date -.2 -.1 0.1.2 JP 1997q4 2003q4 2009q4 2015q4 date Questions standard rule-of-thumb approach to ERPT! 12

Today Standard, reduced-form estimates of ERPT Shock-based methodology & estimates of ERPT Estimates of role of structural versus shock variables: Explaining cross-section dimension Explaining time-series dimension Relative magnitudes Conclusions 13

SVAR Identification Adapt SVAR framework developed in Forbes et al. (2015) for UK Same sample of 26 small-open economies, 1990-2015 Identify 5 domestic and global shocks: domestic supply, domestic demand and domestic monetary policy shocks; global persistent and transitory shocks. Identification through a combination of short- and long-run zero restrictions as well as sign restrictions Algorithm based on Rubio-Ramirez et al. (2010) and Binning (2013) Bayesian estimation with standard Minnesota priors 14

Estimates: Shock-Based ERPT Average & Range Across Countries 8 quarters after ER shock 15

Shock-Based ERPT Estimate role of different shocks in ERPT across countries Monetary policy & demand shocks the greatest weight on average But substantial differences across countries Examples: Iceland and Australia Estimate role of different shocks in ERPT across time within countries Changing weights for some countries Examples: Korea & Chile 16

Role of Different Shocks Average share of exchange rate forecast error variance (across countries) explained by SVAR shocks 17

Today Standard, reduced-form estimates of ERPT Shock-based methodology & estimates of ERPT Estimates of role of structural versus shock variables: Explaining cross-section dimension Explaining time-series dimension Relative magnitudes Conclusions 18

Estimates: Shocks vs. Structure Assess role of structural variables and shock variables in explaining differences in average rates of ERPT across countries 2-stage regression approach with wtd-least squares following Campa & Goldberg (2005) Structural variables % imports invoiced in foreign currency, ER volatility, π volatility, π rate, EM dummy Trade openness, % differentiated goods, regulation Shock variables Monetary, demand, supply, global permanent, global transitory Relative weight of demand to monetary shocks Results 19

Cross-Section: Bivariate Results Foreign currency % 0.50** expected sign & significant (5% level) ER volatility 4.12* expected sign & not significant π (average) 10.91** unexpected sign & not significant π volatility 17.54** unexpected sign & significant (5% level) EM dummy 0.10** Trade openness 0.33 Less differentiated 0.12 Regulation 0.08** % demand shock -0.26 % monetary policy 0.06 % demand/monetary -0.04 % supply shock 0.3 % permanent 0.14 % temporary # observations 18 26 26 26 26 26 26 19 26 26 26 26 26 26 Adjusted-R 2 0.28 0.3 0.44 0.62 0.12 0.05-0.04 0.23 0.06-0.03 0.05-0.02-0.02-0.04-0.07 20

Cross-Section: Multivariate Results Shocks Structure Foreign currency % 0.06 ER volatility (0.17) 0.18 (1.18) π (average) 3.82 (6.82) π volatility 17.17** 23.61*** 17.50*** 16.74*** (7.70) (3.21) (2.69) (2.77) Emerging market (0.08) dummy (0.05) Trade openness 0.33** 0.19 0.25 (0.14) (0.15) (0.15) Less differentiated 0.38* 0.21 0.17 goods/imports (0.21) (0.21) (0.24) Regulation (0.02) (0.02) % monetary policy 0.11 shock (0.10) % demand shock to (0.01) % monetary policy (0.02) # observations 18 19 26 26 Adjusted-R 2 0.7 0.82 0.65 0.63 21

Time Series: Bivariate Results (Fixed 6-year windows) Foreign currency % 0.95 ER volatility 1.29* expected sign & not significant π (average) 6.10** unexpected sign & not significant π volatility 12.40** Trade openness 0.63* Less differentiated 0.77* Regulation 0.00 % demand shock -0.22* % monetary policy 0.32*** % demand/monetary # observations 39 74 74 74 74 76 59 74 74 74 expected sign & significant (5% level) unexpected sign & significant (5% level) Adjusted-R 2 0.47 0.52 0.53 0.63 0.52 0.52 0.49 0.52 0.55 0.53-0.03** 22

Time Series: Multivariate Results Structure Shocks Non-overlapping 6-year windows Rolling 6-year windows π volatility 16.65*** 16.25*** 16.32*** 3.53*** 5.83*** 4.13*** (2.69) (2.54) (2.44) (0.97) (0.96) (0.98) Trade openness 1.21*** 0.92*** 1.11*** -0.22-0.11-0.18 (0.25) (0.33) (0.24) (0.40) (0.40) (0.40) % demand shock -0.02-0.28*** (0.09) (0.04) % monetary policy 0.15 0.19*** (0.12) (0.03) % demand/monetary -0.02** -0.01*** (0.01) 0.00 # observations 73 73 73 1304 1304 1304 Adjusted-R 2 0.75 0.76 0.77 0.06 0.05 0.03 23

Shocks vs. Structure: Summary Cross-section: Structure variables: generally have expected sign, many significant & magnitudes can be large Shock variables: generally have expected sign, but rarely significant & magnitudes smaller Structural variables explain much of cross-section variation in ERPT, shock variables little Time-series: Structure variables: generally have expected sign, but only some significant (π volatility), magnitudes can be large Shock variables: generally have expected signs & usually significant (demand/monetary shocks), magnitudes can be large Shock and structural variables each explain similar share of timeseries variation in ERPT 24

Shocks vs. Structure: Summary Non-overlapping 6-year windows Rolling 6-year windows π volatility 12.40*** 13.68*** 6.03*** 6.68*** (Structure) (2.85) (2.49) (0.94) (0.94) % monetary policy 0.32*** 0.38*** 0.15*** 0.17*** (Shock) (0.12) (0.09) (0.03) (0.03) Constant -0.04-0.03-0.09*** -0.01* -0.01* 0.00 (0.03) (0.04) (0.03) 0.00 0.00 0.00 # observations 74 74 74 1474 1450 1450 Degrees of freedom 47 47 46 1447 1423 1422 Adjusted-R 2 0.63 0.55 0.73 0.02 0.02 0.05 25

Final Thoughts Pass-through can vary significantly across time as well as across countries To understand ERPT: Structural variables most important to understand cross-country differences in averages over long periods The shock behind the exchange rate movement can be just as important at specific times Incorporating both shocks and structure will improve ability to forecast inflation and set monetary policy 26

Backup

SVAR identification Domestic supply shock Domestic demand shock Domestic monetary policy shock Global persistent shock Global transitory shock Short-run restrictions UK GDP + + _ UK CPI - + _ UK interest rate + + UK nominal ERI + + Foreign export prices 0 0 0 + Long-run restrictions UK GDP 0 0 0 UK CPI UK interest rate UK nominal ERI Foreign export prices 0 0 0 28

Different Roles of Different Shocks Global temporary Monetary policy Supply Effective exchange rate Australia Global permanent Demand Base level and trend 30 20 10 0-10 -20-30 Global temporary Monetary policy Supply Effective exchange rate Iceland Global permanent Demand Base level and trend 30 20 10 0-10 -20-30 -40-50 -60-70 29

Different Roles of Different Shocks Forecast error variance decomposition of exchange rate changes, 1990-2015 30

Changing Weights of Different Shocks KO CL 0.2.4.6.8 1 1999q4 2007q4 2015q4 date 0.2.4.6.8 1 1999q4 2007q4 2015q4 date UK JP 0.2.4.6.8 1 1999q4 2007q4 2015q4 date 0.2.4.6.8 1 1999q4 2007q4 2015q4 date Blue: contribution of demand shock Red: contribution of monetary policy shock 31

Estimates: Shock-Based ERPT (Long Sample ERPT) 32