Data Revisions and Macroecomics DR. ANA BEATRIZ GALVAO WARWICK BUSINESS SCHOOL UNIVERSITY OF WARWICK SEP, 2016

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Data Revisions and Macroecomics DR. ANA BEATRIZ GALVAO WARWICK BUSINESS SCHOOL UNIVERSITY OF WARWICK SEP, 2016

National Account Data Macroeconomic aggregates: consumption, investment, GDP, trade balance. They are crucial elements of macroeconomic modelling. Central bankers and fiscal policy makers rely heavily on current values of GDP. GDP is the best measure of current aggregate economic conditions and also denominator of targets such as government deficit/gdp. GALVAO - DATA REVISIONS AND MACROECONOMICS 2

Earlier Releases of Macro Aggregates Earlier estimates even if based on incomplete datasets are better than no estimates since GDP information is crucial for policy decision making. GDP releases are market-moving data releases (Bloomberg) including releases of revisions (if published in a month that no new observation is released). GALVAO - DATA REVISIONS AND MACROECONOMICS 3

Earlier Releases of Macro Aggregates We can measure what we learned from the new data release by comparing the accuracy of consensus forecasts obtained few days before the release. Accuracy is measured by root mean squared errors. The table in the next slide is for predictions of US GDP growth over 2001-2013 computed by Clements and Galvão (2015). GALVAO - DATA REVISIONS AND MACROECONOMICS 4

Consensus and US GDP Releases RMSEs All (N=52) Contractions (N=9) Expansions (N=43) Advance Estimate No-Change Forecast 2.220 2.221 2.219 Survey Median 0.711 0.912 0.437 Second Estimate No-Change Forecast 0.671 1.077 0.549 Survey Median 0.310 0.413 0.284 Third Estimate No-Change Forecast 0.279 0.237 0.287 Survey Median 0.268 0.275 0.266 GALVAO - DATA REVISIONS AND MACROECONOMICS 5

Data Revisions and sources of Business Cycles Variations Business Cycles, which are fluctuations in macroeconomic aggregates such as output (GDP), consumption and investment, are normally modelled as caused by exogenous structural shocks. The academic literature suggests many different types of structural shocks as possible source of business cycles. GALVAO - DATA REVISIONS AND MACROECONOMICS 6

Data Revisions and sources of Business Cycles Variations The importance of each specific structural shock in explaining business cycle variation requires an empirical analysis using national account data. Depending on the maturity (number of rounds of revisions) of the data, the relative importance of different shocks changes (Galvao, 2016). GALVAO - DATA REVISIONS AND MACROECONOMICS 7

Data Revisions and US Business Cycles' Sources Variance decomposition for output growth 0.6 Proportion explained by each shock for each data maturity 0.5 1st 2nd 3rd 4th 0.4 5th 7th 0.3 8th Conv 0.2 0.1 0 spending risk-premium invest. product. price-push wage-push monet. future revisions GALVAO - DATA REVISIONS AND MACROECONOMICS 8

What is going on? Initial data revisions, which are mainly caused by adding more information to the computation of the estimate, are correlated with structural shocks. Data revisions may be caused by not being able to fully observe the impact of structural shocks at the time of initial releases. (I am assuming that structural shocks are correctly estimated with heavily revised data). GALVAO - DATA REVISIONS AND MACROECONOMICS 9

Implications Economists need to be carefully when making decisions based in models that are not fully estimated with revised data, that is, when some observations are still subject to many rounds of revision. GALVAO - DATA REVISIONS AND MACROECONOMICS 10

Data Revisions and Forecasting Macroeconomic forecasting, in particularly at shorthorizons, is mainly based on statistical time series models. When forecasting in real-time, the last observations are initial releases subject to many rounds of revision, while the majority of the observations employed for estimation have already being heavily revised. GALVAO - DATA REVISIONS AND MACROECONOMICS 11

Data Revisions and Forecasting Clements and Galvao (2013) show that if we reorganise the data employed to estimate the forecasting model using real-time data vintages, forecasts computed with autoregressive models will be more accurate. To apply the results above, we need real-time data vintages covering a large number of observations, that is, we need access to real-time datasets spanning a large number of data releases. GALVAO - DATA REVISIONS AND MACROECONOMICS 12

Data Revisions and Forecasting Recently, Clements (2015) and Clements and Galvao (2016) show that if we want to predict the first release, but estimate a model with mainly heavily revised, prediction intervals and/or full density forecasts will be badly calibrated [95% intervals won t cover the outcomes 95% of the time]. GALVAO - DATA REVISIONS AND MACROECONOMICS 13

Data revisions and Interval Forecasting An one-step-ahead point forecast is an estimate of the conditional mean of the one-step-ahead predictive density: μ % "#$ If the predictive density is normal, a 95% predictive interval is: μ % "#$ σ % "#$ 1.96 But σ % "#$ is estimated with mainly revised data. This implies that σ % "#$ will over- or under-estimate σ "#$ (the correct value for a first release) depending on whether data revisions are news or noise. GALVAO - DATA REVISIONS AND MACROECONOMICS 14

Data revisions and Interval Forecasting If data revisions are news, that is, they add new information, the unconditional variance of revised data is larger than the variance of the first release, so σ % "#$ > σ "#$. If data revisions are noise, that is, they remove measurement error in earlier estimates, then the unconditional variance of revised data is smaller than the variance of the first release, so σ % "#$ < σ "#$. Clements (2015) show that we can reorganise the data in real-time vintages and get unbiased estimates of σ "#$. Clements and Galvao (2016) show that this will always produce improved logscores. GALVAO - DATA REVISIONS AND MACROECONOMICS 15

Estimates of Predictive SE with stochastic volatility models (US) 1.3 1.2 1.1 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 2000:Q2 2001:Q2 2002:Q2 2003:Q2 2004:Q2 Output Growth 2005:Q2 2006:Q2 Y_EOS 2007:Q2 2008:Q2 2009:Q2 2010:Q2 Y_RTV 2011:Q2 2012:Q2 2013:Q2 2014:Q2 1 Consumption Growth 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 2000:Q2 2001:Q2 2002:Q2 2003:Q2 2004:Q2 2005:Q2 2006:Q2 2007:Q2 2008:Q2 2009:Q2 2010:Q2 2011:Q2 2012:Q2 2013:Q2 2014:Q2 C_EOS C_RTV EOS is the usual approach to deal with the data; RTV reorganises past published real-time dataset. GALVAO - DATA REVISIONS AND MACROECONOMICS 16

Estimates of Predictive SE with stochastic volatility models (US) 0.6 0.5 0.4 0.3 0.2 0.1 GDP Deflator Inflation 2000:Q2 2001:Q2 2002:Q2 2003:Q2 2004:Q2 2005:Q2 2006:Q2 2007:Q2 2008:Q2 2009:Q2 2010:Q2 2011:Q2 2012:Q2 2013:Q2 2014:Q2 1.05 0.95 0.85 0.75 0.65 0.55 0.45 0.35 0.25 0.15 2000:Q2 2001:Q2 2002:Q2 2003:Q2 2004:Q2 PCE Inflation 2005:Q2 2006:Q2 2007:Q2 2008:Q2 2009:Q2 2010:Q2 2011:Q2 2012:Q2 2013:Q2 2014:Q2 P_EOS P_RTV PCE_EOS PCE_RTV EOS is the usual approach to deal with the data; RTV reorganises past published real-time dataset. GALVAO - DATA REVISIONS AND MACROECONOMICS 17

Data Revisions and Macroeconomics Macroeconomists need to be careful when doing structural analysis and forecasting with data subject to revision, in particularly if using national account data. From the point of view of users of national account data, timely release is important: data revisions are a fact of life if initial releases were based on incomplete data in order to be timely. However availability of datasets with all past vintages (releases) organised by released date is also essential! GALVAO - DATA REVISIONS AND MACROECONOMICS 18

Data Revisions and Macroeconomics If users find patterns in historical data that allow them to predict data revisions, this will be exploited when computing forecasts in particularly if the target is to predict revised data, which are likely better estimates of the underlying macroeconomic variables. GALVAO - DATA REVISIONS AND MACROECONOMICS 19

References: Clements and Galvao (2013) Real-time Forecasting of Inflation and Output Growth with Autoregressive Models in the Presence of Data Revisions Journal of Applied Econometrics. 28: 458-477. Clements and Galvao (2015) Predicting Early Data Revisions to US GDP and the Effects of Releases on Equity Markets Journal of Business and Economic Statistics. Forthcoming. Galvao (2016) DSGE Models and Data Revisions. Journal of Econometrics. Forthcoming Clements (2015) Assessing Macro Uncertainty in real-time when data are subject to revision. Journal of Business and Economic Statistics. Forthcoming. Clements and Galvao (2016) Data Revisions and Density Forecasting. In progress. GALVAO - DATA REVISIONS AND MACROECONOMICS 20