Filling the gap: open economy considerations for more reliable potential output estimates

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Filling the gap: open economy considerations for more reliable potential output estimates Zsolt Darvas* Bruegel, Corvinus University of Budapest and Hungarian Academy of Sciences UN DESA Expert Group Meeting on the World Economy (LINK Project) October 21-23, 215, New York * Based on a joint work with András Simon

Motivation Potential output is an important unobserved variable for macroeconomic modelling, policy analysis and policy making Macro models Monetary and fiscal policies EU fiscal rules and sanctions depend on structural budget balance, hence on estimated potential output Empirical methods Univariate methods, e.g. Hodrick-Prescott filter Structural methods, e.g. Phillips curve and NAIRU/NAWRU (nonaccelerating inflation/wage rate of unemployment) Production-function 2

Motivation, cont d Major handicaps of existing methodologies (EU, IMF, OECD, structural models, univariate filters) Key conceptual handicaps: o Disregarding open economy considerations o Use of smoothing algorithms Weaknesses in empirics: o Sometimes implausible estimated potential output developments (e.g. potential output estimates follow an inverted U-shape, with potential output continuing to increase during crisis years, then gradually turning into a decline) o Large revisions 3

Motivation, cont d Aims of this paper Incorporate open economy considerations Estimate the model for 5 countries Use real-time data available in each year between 2-15 Related literature Darvas and Simon (2): use info from exports and imports; estimate for Hungary, Mexico and Poland Dobrescu (26): trade balance/gdp should be constant; estimate for Romania Alberola, Estrada and Santabárbara (21): adjust labour, capital and TFP in production function for imbalances; estimate for Spain Borio, Disyatat and Juselius (213, 21): finance-neutral sustainable output ; estimate for US, UK and Spain

Outline 1. Standard concepts 2. Our alternative approach 3. The real-time dataset. Empirical results The current account model The sustainable output model Real-time output gap estimates: comparison with estimates of the European Commission, IMF, OECD and Hodrick-Prescott filter 5. Summary 5

1. Standard concepts Atheoretical models smooth supply fluctuating demand? Problems: Is supply really smooth? New-Keynesian definition: output corresponding to flexible price level more volatile than actual output 6

1. Standard concepts, cont. Standard structural model: Non-inflationary level of output: aggregate supply=demand Excess demand employment tension inflation demand correction Problems: 1. Only inflation is measurable directly (NAIRU is a latent variable) 2. High share of tradable goods blurs the relationship between excess demand and employment/inflation. Price explosion may be postponed by exchange rate developments or a favourable market sentiment 7

2. Our alternative approach for sustainable output Phillips-curve/NAIRU not sufficient: effect of excess demand is not symmetric across tradable and non-tradable sectors: Non-tradeable sector: excess demand creates excess employment and inflation via the Phillips-curve Tradeable sector: much of the excess demand absorbed by the trade balance, parallel to, or even without, the increase of inflation Excess demand of the rest of the world has implications for domestic inflation and trade balance These effects are supported by several theories and models We offer a new concept: sustainable output to incorporate these effects 8

2. Our alternative approach for sustainable output, cont. Model set-up: Separation of the tradeable/non-tradeable sectors is not intended (and difficult) build a model that uses total output and let the data determine the relative importance of the Phillips curve and current account balance Open economy considerations: In the short-run, foreign output-gap matters for both inflation and the current account balance In the short-run, real exchange rate disequilibrium matters for both inflation and the current account balance 9

2. Sketch of our sustainable output model Observation equations The two behavioural equations: Phillips curve augmented with global variables: π t = β + β π π t 1 + β gap y t y t + β wπ π t (w) + βwgap y t (w) yt (w) + β r r t rt + ε t (π) Current account gap equation: τ t τ t = γ + γ gap y t y t + γ wgap y t (w) yt (w) + γ r1 r t 1 rt 1 + ε t (τ) + γ r r t rt Where: t inflation rate; t current account balance/gdp; its intertemporal optimum; y t log of GDP; y t sustainable output; r t log of real exchange rate; r t equilibrium real exchange rate; superscript w: rest of the world t 1

2. Our alternative approach for sustainable output, cont. Which measure of external balance? Even when there is no excess demand, the current account balance should not be necessarily zero In theory, there is balance corresponding to the equilibrium intertemporal allocation of resources deviation from this balance Problem: theory does not pin down an empirical method Empirical estimates can be ad hoc We use the deviation from an estimated medium-term equilibrium current account balance, based on the model of Lane and Milesi- Ferretti 212 Journal of International Economics (which is similar to many other models used in the literature) 11

2. Our update of the Lane and Milesi-Ferretti (212, JIE) equilibrium current account balance estimate Panel model for 65 advanced and emerging countries, not including major oil exporters, poor and small countries Sample: -year non-overlapping averages (to smooth the business cycle) from early 197s to the year of the data vintage Explanatory variables: 1. Fiscal balance 2. GDP growth rate 3. GDP per capita at PPP. The old-age dependency ratio 5. The aging rate 6. Oil rents 7. Lagged Net Foreign Assets (NFA) position 12

3. The real-time dataset for each spring in 2-215 Sample includes 5 countries Main data sources: Spring versions of IMF World Economic Outlook databases for each year between 2-15, typically published in April April versions of the World Bank World Development Indicators (available vintages published in 25-215) Spring versions of the European Commission s AMECO dataset (available vintages published in 29-215) Other sources, like IMF s historical dataset on budget balances,... Current account gap: deviation from estimates in Darvas (215), which in turn largely follows Lane and Milesi-Ferretti (212) Foreign output-gap: currently Hodrick-Prescott; could be the weighted average of the gap calculated by us Real exchange rate equilibrium: currently Hodrick-Prescott; could be a structural estimate 13

. Empirical results: the current account model Parameter estimates have correct signs and are statistically significant Estimated parameters change little when different vintages of the data is used 1

Full sample: Actual and estimated equilibrium current account balances (% GDP) Germany Korea Latvia Spain 1 8 6 2-2 7 8 9 1 1 8 6 2-2 12 8 - -8-12 7 8 9 1 12 8 - -8-12 16 12 8 - -8-12 -16-2 -2 7 8 9 1 16 12 8 - -8-12 -16-2 -2 2-2 - -6-8 -1 7 8 9 1 2-2 - -6-8 -1 Actual Estimated on -year samples Annualised estimate 15

Real-time data: Estimated annual current account gaps (% GDP) using different data vintages Germany Korea Latvia Spain 8 8 12 12 15 15 6 6 6 2-2 6 2-2 8-8 - 1 5-5 -1-15 1 5-5 -1-15 2-2 - -6-8 2-2 - -6-8 - 7 8 9 1 - -8 7 8 9 1-8 -2 7 8 9 1-2 -1 7 8 9 1-1 2 25 26 27 28 29 21 211 212 213 21 215 Note: the years in the legend indicate the vintage of the data used 16

In contrast: Large revisions to European Commission NAWRU estimates European Commission NAWRU estimates follow the actual trend of the unemployment rate, and were revised significantly for the past when the trend changed NAWRU estimates and forecasts by the European Commission at different dates and the actual unemployment rate, 1995-216 Spain Ireland Greece Latvia 28 16 28 2 2 2 16 12 8 1 12 1 8 6 2 2 16 12 8 16 12 8 2 25 21 215 NAWRU = non-accelerating wage rate of unemployment 2 2 25 21 215 Unemployment rate NAWRU estimate in 27 NAWRU estimate in 21 NAWRU estimate in 213 NAWRU estimate in 215 2 25 21 215 2 25 21 215 17

A conclusion NARWU: was not (and probably cannot) be estimated reliably real-time Current account gap: can be estimated reliably real-time 18

. Empirical results: the sustainable output model State-space representation Kalman filter for inference on latent variables and parameters (ML/QML estimation) Key results: The current account equation is more important in determining the sustainable level of output than the Phillips curve Output gap parameter in the current account equation has the correct estimated sign for all 5 countries and is statistically significant for almost all of them Output gap parameter in the Phillips curve has an incorrect sign for onethird of the countries and is hardly significant Foreign output gap matters for both inflation and the current account Real exchange rate matters for both inflation and the current account 19

198 1985 199 1995 2 25 21 215 Level of potential/sustainable output Spring 215 estimates United States of America 9.7 9.5 9.3 Actual GDP Sustainable: This paper Potential: EC Potential: IMF Potential: OECD 9.1 8.9 8.7 Our estimates suggest: Unsustainable precrisis boom Recent fall in output just brought it back to sustainable, but no negative gap 2

198 1985 199 1995 2 25 21 215 Level of potential/sustainable output Spring 215 estimates Germany 8. 7.9 7.8 7.7 7.6 7.5 7. Actual GDP Sustainable: This paper Potential: EC Potential: IMF Potential: OECD Our estimates suggest: Reunification boom Recently output gap is negative 7.3 21

198 1985 199 1995 2 25 21 215 Level of potential/sustainable output Spring 215 estimates Greece 5.6 5.5 5. 5.3 5.2 5.1 5..9.8 Note: for Greece, the IMF estimate is identical to the Hodrick- Prescott filter Actual GDP Sustainable: This paper Potential: EC Potential: IMF Potential: OECD Our estimates suggest: Fall of sustainable output preceded (not followed) the fall of actual output Output gap is small 22

199 1995 2 25 21 215 Level of potential/sustainable output Spring 215 estimates Korea 1.3 1.1 13.9 Actual GDP Sustainable: This paper Potential: IMF 13.7 13.5 13.3 13.1 12.9 For 215, IMF suggests practically zero output gap, while our estimate suggests a -3.2% gap 23

199 1995 2 25 21 215 Level of potential/sustainable output Spring 215 estimates 7.2 7.1 7. 6.9 Brazil Actual GDP Sustainable: This paper Smoothed: HP 6.8 6.7 6.6 6.5 6. For 215, HP suggests small negative output gap, while our estimate suggests a.2% positive gap with sustainable output falling recent years 2

Real-time estimates for the 27 output gap 12 Ireland Output gap in 27 1 8 6 2-2 27 28 29 21 211 212 213 21 215 Date of estimation This paper EC IMF OECD HP Based on April/May data of the year indicated on the 25 horizontal axis

Real-time estimates for the 27 output gap Spain Output gap in 27 7 6 5 3 2 1-1 -2 27 28 29 21 211 212 213 21 215 Date of estimation This paper EC IMF OECD HP Based on April/May data of the year indicated on the 26 horizontal axis

Real-time estimates for the 27 output gap 3 Portugal Output gap in 27 2 1-1 -2-3 - 27 28 29 21 211 212 213 21 215 Date of estimation This paper EC IMF OECD HP Based on April/May data of the year indicated on the 27 horizontal axis

Real-time estimates for the 27 output gap 5 Italy Output gap in 27 3 2 1-1 -2 27 28 29 21 211 212 213 21 215 Date of estimation This paper EC IMF OECD HP Based on April/May data of the year indicated on the 28 horizontal axis

Real-time estimates for the 27 output gap 3 Germany Output gap in 27 2 1-1 -2-3 - 27 28 29 21 211 212 213 21 215 Date of estimation This paper EC IMF OECD HP Based on April/May data of the year indicated on the 29 horizontal axis

Real-time estimates for the 27 output gap Netherlands Output gap in 27 3 2 1-1 -2 27 28 29 21 211 212 213 21 215 Date of estimation This paper EC IMF OECD HP Based on April/May data of the year indicated on the 3 horizontal axis

2 22 2 26 28 21 212 21 Annual revisions in previous year output gap estimates 12 EU countries (% of potential GDP, absolute value, unweighted average) 3 2 1 Revision of previous year output gap one year later This paper EC IMF OECD HP E.g. the difference between the estimate made in spring 211 and spring 212 for 21 Big revision in IMF/EC/OECD/HP estimates at the time of the crisis, but not in our estimates Revisions a year later typically.5%-1.% of GDP for all three estimates, which is large The 12 countries: Austria, Belgium, France, Finland, Germany, Ireland, Italy, Netherlands, Portugal, Spain, 31 Sweden and the United Kingdom

2 22 2 26 28 21 212 21 Annual revisions in previous year output gap estimates 5 non-eu countries (% of potential GDP, absolute value, unweighted 3 2 average) Revision of previous year output gap one year later Same conclusion as for the EU countries 1 This paper IMF OECD HP E.g. the difference between the estimate made in spring 211 and spring 212 for 21 The 5 countries: Australia, Canada, Japan, New Zealand and the United States of America 32

Average absolute revision of previous year's output gap one year later (% potential GDP) Output gap revisions vs current account volatility European Commission output gap estimates for 25 countries Revision in EC output gap vs. CA volatility, 2-13 2.1 1.9 1.7 1.5 1.3 1.1.9.7.5.3 SI LU IE SK FI FR CZ ES PT SE GR GB PL CY HU IT DE BE MT NL DK AT LT EE 2 6 8 1 Standard deviation of CA balance (% GDP) LV More volatile current account larger revisions in European Commission s output gap estimates 33

Output gap revisions vs current account volatility Correlation coefficient between output gap revisions and the variability of the current account balance (twelve EU countries, 2-13) Correlation coefficient This paper.13 EC.59 IMF.69 OECD.5 HP (without forecasts).57 HP (with forecasts).5 Close to zero correlation for our model, high correlation for all others: important information is missing from EC/IMF/OECD/HP estimates 3

Summary Our alternative approach for estimating sustainable output: Recognise the importance of open economy factors: o o Foreign supply can fill the gap between demand and supply in the tradable sector, but not in the non-tradable sector Foreign output gap has implications for domestic inflation and trade balance We use an unobserved components model incorporating both a Phillips curve and a current account equation (We do not use a production function) 35

Summary, cont. Empirical results: 5 countries Real-time dataset available in each year between 2-15 Sensible parameter and sustainable output estimates, which for several countries differ significantly from the estimates of the 3 institutions and the HP filter Better identifying the sign of output gap in real time Annual revisions in output gap estimates: o o Much smaller revisions than IMF/EC/OECD/HP during the crisis years Similar in normal years, about.5-1.% GDP IMF/EC/OECD/HP revisions related to CA variability Policy implications 36

Future work Possible extensions of our work: More sophisticated state equations Calculate foreign output gap as the weighted average of our output gap estimates for other countries (iterative estimation) Incorporate the Balassa-Samuelson effect Estimate equilibrium real exchange rates Refine the current account equilibrium model Panel estimation of the sustainable output model Set up a model that jointly estimates all unobserved variables 37

Thank you for your attention zsolt.darvas@bruegel.org