TIGER: Tracking Indexes for the Global Economic Recovery By Eswar Prasad, Karim Foda, and Ethan Wu

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TIGER: Tracking Indexes for the Global Economic Recovery By Eswar Prasad, Karim Foda, and Ethan Wu Technical Appendix Methodology In our analysis, we employ a statistical procedure called Principal Component Analysis (PCA) that is used widely in the physical and social sciences to extract indicators that capture common fluctuations among variables in large datasets. PCA is a transparent and straightforward procedure that can easily handle a large number of variables and enables one to construct indicators of comove across all variables in a dataset or a subset of them. This procedure is ideal for creating the TIGER indexes as it allows us to combine information from different types of economic variables and multiple countries. Each variable that enters into the PCA is a priori given an equal weight in the calculations. The procedure then assigns different weights to different variables depending on how important they turn out to be in capturing fluctuations in the entire set of variables. PCA is a special case of a more general technique called factor analysis that captures more complicated patterns of lead and lag correlations across the variables it is important to note that PCA picks up only contemporaneous correlations. Dataset Our dataset covers most of the G-20 countries and contains a set of key real, financial and confidence variables. The main constraint in expanding our dataset to cover more variables is the lack of consistent data availability at a high frequency, especially among the emerging markets. For example, it is difficult to get good data on employ levels for the emerging markets. Nevertheless, we have assembled a set of variables on which we were able to get reasonably timely and high-quality data. The countries and variables in our dataset are listed below. Note that composite total indexes include only Advanced Economies and Economies groups. Advanced Economies Economies Euro Periphery -Australia -Argentina -Greece -Canada -Brazil -Italy (Advanced) -France -China -Ireland -Germany -India -Portugal -Italy -Indonesia -Spain (Advanced) -Japan -Mexico -Korea -Russia -Netherlands -South Africa -Spain -Turkey -United Kingdom -United States Economic Indicators Real Activity Indicators Financial Indicators Confidence Indicators -acity - Index -iness Confidence - -Stock italization -Consumer Confidence -s - -Industrial. - -s -TED Spread - - -Manufacturing Orders - -Unemploy

By Country: Composite Index iness Confidence, Consumer Confidence, acity,, s, s, Industrial Production,, Manufacturing Orders,, Unemploy, s,, Ted Spread 1, Real Activity Index acity,, s, s, Industrial Production,, Manufacturing Orders,, Unemploy Financial Index s, italization,,, TED Spread, Confidence Index iness Confidence, Consumer Confidence By Indicator Variable: Advanced Economies, Economies, and Total Indexes are found by aggregating directly across country data. We create composite indexes separately for the groups of advanced economies and emerging markets covering all of the above variables. We also create additional indexes for each of these groups based on each category of variables listed below (real, financial, confidence). Finally, we generate country-specific indicators that cover all the variables for a given country and also variable-specific indicators that cover all countries data for a given variable. Description of Data and Source Information: Indicator Variable Unit Description Source iness Confidence Index National confidence indicator OECD Consumer Confidence Index National confidence indicator OECD acity acity utilization rate for industrial sector Haver Analytics; National sources 12-month growth rate of total employ levels IMF International Financial Statistics; National sources s average. Goods. USD IMF Direction of Trade Statistics s average. Goods. USD IMF Direction of Trade Statistics Industrial Production average. Seasonally Adjusted Volumes World Bank, Global Economic Monitor; National sources Quarterly, year-over-year real growth rate. Each month in quarter are equal to quarterly rate Economist Intelligence Unit Manufacturing Orders 12-month growth rate of new manufacturing orders. Seasonally adjusted, local currency or index. Haver Analytics; National sources average. Seasonally adjusted, Volume, Index World Bank, Global Economic Monitor; National sources s 12-month growth rate of share price index in national currency Yahoo Finance; IMF International Financial Statistics; Bloomberg Stock italization 12-month growth rate in national currency CEIC Data Company, Ltd. 1 The TED Spread, by construction, is available only as a single variable and is not country-specific. 2

12-month growth rate in national currency. Banking claims on private sector IMF International Financial Statistics; Federal Reserve; Bank of Japan Level Basis points over US treasury World Bank, Global Economic Monitor TED Spread Level Difference between 3-month LIBOR and U.S. Treasury, basis Points US Depart of Treasury; Federal Reserve (FRED) Unemploy OECD Harmonized Unemploy OECD via Federal Reserve (FRED) Level Volatility index for national stock markets Bloomberg 3

Data Composition of TIGER Indexes The matrix below shows which countries and variables are included across the aggregated TIGER indexes. Orders Unem ploym ent Advanced: Australia x x - x x x - x - - x x x - x - Canada - x - x x x x x - - x - - - x - France x x - x x x x x - - x x x - x x Germany x x - x x x x x - - x x x - x - Italy x x - x x x x x - - - x x - x - Japan x x - x x x x x - - x - x - x x Korea x x - x x x x x - - x x x - x x Netherlands x x - x x x x x - - x - x - x - Spain x x - x x x x x - - x - x - x - UK x x - x x x x x - - x x x - x x US x x - x x x x x - - x - x - x x s: Argentina - - - - x x - x - - x x x - - - Brazil x x - x x x x x - - x x x - - - China x x - - x x x x - - x x x - - - India - - - - x x x x - - x - - - - - Indonesia - - - - x x x x - - x X - - - - Mexico x x - - x x x x - - x x x - - - Russia x - - - x x x x - - x x x - - - South Africa x x - x x x x x - - x - x - - - Turkey x x - x x x x x - - x x x - - - 4

Data Availability The table below describes the availability of each variable by country. All data are monthly and begin on January 2005 and end in the specified month of 2018. Order Emerg ing Sprea ds Unemploy Advanced: Jun Australia May Aug Jun 17 Apr Jun Jun Q2 - - Jul Jul Jul - Jun - 17 Canada Apr Dec 17 Jun 17 Apr Jun Jun Jun Q2 Jul 17 Dec 16 Jul Jul - - Jun - France Aug Aug Aug 17 Jun Jun Jun Jun Q2 - Dec 16 Jul Jul Jul - Jun Sep Germany Aug Aug Aug 17 Jun Jun Jun Jun Q2 Jul 17 Dec 16 Jul Jul Jul - Jun - Italy Aug Aug Jun 17 Jun Jun Jun Jun Q2 May Dec 16 - Jul Jul - Jun - Japan Jun Aug Jul 17 Jun Jun Jun Jun Q2 Jul 17 Jan Sep Jul Jul - Jun Sep Korea Aug Aug - Jun Jun Jun Jun Q2 - Dec 16 Sep Jul May - Jun Aug Netherlands Aug Aug Jun 17 Jun Jun Jun Jun Q2 - Jan Sep Jul Jul - Jun - Spain Aug Aug Jul 17 Jun Jun Jun Jun Q2 Jul 17 Dec 16 Apr Jul Jul - Jun - UK Aug Aug - Jun Jun Jun Jun Q2 - Jan Jul Jul Jun - May Sep US Aug Aug Aug 17 Jun Jun Jun Jun Q2 Jul 17 Dec 16 Sep Jul Jul - Jun Sep s: Aug Argentina - - - - Jun Jun 17 Q2 - - Jul Jul Jul May 14 - - Brazil Aug Aug - Jun Jun Jun Jun Q2 - Dec 16 Jul Jul Jul May 14 - - China May Jul - - Jun Jun Jun Q2 - Feb Jul Jul Jul May 14 - - India Feb - - - Jun Jun Jun Q2 - - Jul Jul Jun 17 - - - Indonesia Mar Jul - - Jun Jun Jun Q2 - Feb Jul Jul - - - - Mexico Jul Jul - Mar 17 Jun Jun Jun Q2 - Dec 16 Sep Jul Jul May 14 - - Russia Aug May - - Jun Jun Jun Q2 - - Sep Jul Jul May 14 - - South Africa Jun Mar - Mar Jun Jun Jun Q2 - Dec 16 Sep Jul Jul May 14 - - Turkey Aug Aug - Mar Jun Jun Jun Q2 - Dec 16 Sep Jul Jul May 14 - - Note: TED Spread data, not country specific, ranges from January 2005 through August 2018. 5

Data Availability for Euro Periphery The table below describes the availability of each variable for Greece, Ireland, and Portugal. Availability for Italy and Spain are included in the above Advanced Economy group. All data are monthly and begin on January 2005 and end in the specified month of 2018. Order Unem ploym ent Greece Aug Aug - - Jun Jun May Q2 - Jan Sep Aug Jul - May - Ireland - Jul - - Jun Jun Jun Q2 - Portugal Aug Aug - - Jun Jun Jun Q2 - Jun 17 Jul 17 Sep Jul Jul - Mar - Sep Jul Jul - Feb - Data Composition of Euro Periphery Country Indexes The matrix below shows which countries and variables are included in the country indexes for Greece, Ireland, and Portugal. Italy and Spain are included in the above Advanced Economy group. Orders Unem ploym ent Greece x x - - x x x x - - x - x - x - Ireland - x - - x x x x - - x - x - x - Portugal x x - - x x x x - - x x x - x - 6