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ASIA-PACIFIC RESEARCH AND TRAINING NETWORK ON TRADE ARTNeT CONFERENCE ARTNeT Trade Economists’ Conference Trade in the Asian century - delivering on the promise of economic prosperity 22-23rd September 2014 Parallel Session 4: Empirical trade analysis (2) www.artnetontrade.org A New Measure of Economic Distance Eric Fisher California Polytechnic State University John Gilbert Utah State University Kathryn Marshall California Polytechnic State University Reza Oladi Utah State University Asia Pacific Trade Economists’ Conference 2014 A New Measure of Economic Distance Introduction There has been an explosion of interest in quantifying generalized trade costs. In this paper we introduce a new measure Impediments to trade will be reflected in differences in unit costs, which are (unfortunately) unobservable. We develop a theory showing how estimates of unit costs can be extracted from the observable unit value matrix We apply the technique to a new database of consistent factor uses across 35 sectors for 39 economies, and explore the results in terms of network theory, revealed comparative advantage and real exchange rate theory Asia Pacific Trade Economists’ Conference 2014 A New Measure of Economic Distance Related Literature Anderson and van Wincoop (2004) review evidence on various components of trade costs, and conduct an ‘adding up’ exercise Hummels and Lugovsky (2006) and Hummels (2007) look at freight costs Hummels and Schaur (2013) considers time costs Chen and Mattoo (2008) and Chen and Novy (2012) provide evidence on regulation costs Head and Ries (2001) and Novy (2013) construct indirect aggregate measures based on gravity (recently applied in Arvis et al., 2013) Asia Pacific Trade Economists’ Conference 2014 A New Measure of Economic Distance What is our Measure? We exploit a simple but deep insight: All impediments to trade will be reflected in differences in unit costs. Any departure from the law of one price must reflect an implicit trade cost Let the unobservable world price of an apple be given Assume that the local unit cost of a pomme in Paris is 50% above it and that of an apfel in Berlin is 30% above it, so the cost differential is 20%. Do the same calculation for every good recorded in the input-output tables of France and Germany (this includes traded and non-traded goods, but we are agnostic about the difference) The maximum of the absolute value of these differences is a measure of the economic distance between France and Germany We can interpret it as the uniform ad-valorem tariff that would shut down bilateral trade Asia Pacific Trade Economists’ Conference 2014 A New Measure of Economic Distance Theory Major Problem: Both the world price and the unit costs are not directly observable. So how to proceed? We can observe unit values in the IO tables If we allow the ancillary assumption that factors are mobile within an economy, we can recover the factor returns at local prices If we further assume that the unit value technology matrix defines unobservable physical units by the unobservable world price, then unit value matrices record disparate physical technologies Now, define the unit of each good as one international dollar’s worth of it Then the distance from world prices can be computed from the least squares projection of the unit vector onto the local technology Asia Pacific Trade Economists’ Conference 2014 A New Measure of Economic Distance Ricardian Example Good 2 p2 = (0 . 4 , 1.2 T ) V2 = 1 3 d(V1 , V2 ) = 0.8 (1,1) V1 = T p1 = .6) 2, 0 (1. 2 1 Good 1 Figure: Projecting world prices onto local unit values Asia Pacific Trade Economists’ Conference 2014 A New Measure of Economic Distance Data Consistent international data on factor use is available from WIOD We have coverage for 39 countries (roughly 80 percent of world GDP) and 35 sectors. We have used the 2005 benchmark data The database contains direct uses for four factors of production (three skill levels of labor and physical capital) We are able to construct direct and indirect factor uses per dollar of output using the IO matrix Asia Pacific Trade Economists’ Conference 2014 A New Measure of Economic Distance Data Sample Direct and Indirect Inputs per Dollar in Australia High-skilled Med-skilled Low-skilled (hours) (hours) (hours) Agriculture 0.0030 0.0102 0.0173 Mining & quarrying 0.0017 0.0047 0.0051 Food & beverages 0.0033 0.0099 0.0128 Textiles & textile products 0.0049 0.0157 0.0175 Leather & footwear 0.0037 0.0106 0.0127 Capital (dollars) 2.79 2.84 2.11 1.89 3.42 Table: The first five rows of Australia’s unit-value matrix Local factor prices are estimated at $39 for high skilled labor, $26 for medium skilled, $21 for low skilled and 12% for capital. Australia is slightly above world unit costs for agriculture and well above in textiles, but slightly below in food products, and well below in mining Asia Pacific Trade Economists’ Conference 2014 A New Measure of Economic Distance Results We estimate 741 = 38 × 39/2 bilateral distances The sample average is 1.02, and the median 1.11, with a standard deviation of 0.47 Considering only those goods usually classified as traded (the first 16 categories in the WIOD tables) the mean, median and standard deviations are 0.46, 0.51 and 0.22, respectively The distribution based on only traded goods is significantly more skewed Asia Pacific Trade Economists’ Conference 2014 A New Measure of Economic Distance Distribution of Economic Distances 250 200 150 100 50 0 0.0 0.5 1.0 1.5 General economic distances 2.0 2.5 Figure: Bilateral economic distances, as uniform ad valorem tariffs, N = 741 Asia Pacific Trade Economists’ Conference 2014 A New Measure of Economic Distance Distribution of Economic Distances 250 200 150 100 50 0 0.0 0.5 1.0 1.5 2.0 Distances based on traded goods 2.5 Figure: Bilateral economic distances, as uniform ad valorem tariffs, N = 741 Asia Pacific Trade Economists’ Conference 2014 A New Measure of Economic Distance Closest Links Networks It is useful to consider the bilateral distances using graph theory The following graphs depict a network with 39 nodes, with the lengths of the edges representing the bilateral distances We show the 74 closest links, the country pairs with the most similar unit costs Based on overall distance, the world economy consists of one large component broken into two clusters and several isolated components The main clusters consists of Europe and North America, the second Japan and Korea along with large primary product exporters. The isolated components include India, China and Indonesia Considering the network based on distances for only the subset of traded goods, we have only a single large component. China is part of this component Asia Pacific Trade Economists’ Conference 2014 A New Measure of Economic Distance Closest Links Overall TUR IDN KOR BGR JPN ESP LVA BRA RUS AUS SVK HUN IND POL MEX EST CZE USA GBR SWE FRA DEU BEL CAN ITA NLD FIN MLT LTU GRC IRL AUT PRT CYP DNK CHN ROU SVN LUX Figure: Closest 10% of links in economic distance Asia Pacific Trade Economists’ Conference 2014 A New Measure of Economic Distance Closest Links Traded POL RUS IND TUR JPN HUN SVK ROU IDN BGR MEX ESP LTU KOR BEL CAN FRA CZE AUS AUT SWE FIN EST GRC PRT DEU GBR USA IRL LVA NLD ITA DNK CHN BRA SVN MLT LUX Figure: Closest 10% of links in traded goods distance Asia Pacific Trade Economists’ Conference 2014 A New Measure of Economic Distance CYP Minimum Spanning Tree Networks The preceding trees were based only on local characteristics, but we can also examine global characteristics A completely connected network without any cycles is a tree, a spanning tree connect all the nodes of a network, the minimum spanning tree with the minimal cost among all trees spanning a network The longest path in the this tree is 14 We are drawn to taxonomic interpretations of the tree The network for traded goods is quite different from the general network - so real exchange rates matter Asia Pacific Trade Economists’ Conference 2014 A New Measure of Economic Distance Minimum Spanning Tree Overall ROU BGR MEX CHN AUS DNK BRA AUT LVA DEU CZE NLD GBR EST POL FIN SWE LTU BEL MLT LUX IND CAN SVK PRT IRL GRC CYP IDN HUN ESP JPN FRA USA SVN TUR KOR RUS ITA Figure: Minimum spanning tree based on economic distance Asia Pacific Trade Economists’ Conference 2014 A New Measure of Economic Distance Minimum Spanning Tree Traded Goods SVN CYP POL IDN SVK EST BGR IND CHN MLT GRC CZE CAN FRA BRA TUR ESP PRT BEL LVA ITA AUT KOR JPN RUS MEX FIN USA GBR LUX DEU DNK ROU HUN IRL LTU NLD SWE AUS Figure: Minimum spanning tree based on traded goods distance Asia Pacific Trade Economists’ Conference 2014 A New Measure of Economic Distance Balassa-Samuelson Effects Dispersion of unit costs across sectors is roughly comparable across countries. Some poorer economies have lower unit costs, but no discernable pattern among middle/high income Plotting the real exchange rate reveals a lower projected real exchange rate for countries with lower productivity Local unit costs for traded goods show no correlation with productivity, as predicted Regressing an index of the real exchange rate with an index of relative productivity (using the US as the base), we find a statistically significant Balassa-Samuelson effect. A $10 increase in a country’s GDP per hour worked is associated with a 1% appreciation of the real exchange rate Asia Pacific Trade Economists’ Conference 2014 A New Measure of Economic Distance Unit Cost and Dispersion by Country 1.10 1.05 1.00 MLT SVN 0.95 IND Median unit cost USA EST TUR HUN 0.90 RUS SVK CZE FRA AUS PRT ESP ROU LTU POL IDN 0.85 BGR SWE JPN CAN GBR ITA KOR NLD MEX AUT FIN GRC LVA DEU BEL DNK LUX IRL 0.80 BRA CYP 0.75 0.70 CHN 0.65 0.60 0 10 20 30 40 50 GDP per hour worked 60 70 Figure: Unit costs by country Asia Pacific Trade Economists’ Conference 2014 A New Measure of Economic Distance Real Exchange Rates 1.50 Relative price of services to traded goods 1.40 1.30 GBR IRL CAN MEX 1.20 IDN 1.10 RUS LTU LVA PRT MLT JPN AUS HUN SVK EST POL TUR IND LUX SWE ITA CZE BEL NLD FIN DEU GRC BGR ROU DNK AUT CYP BRA 1.00 KOR USA FRA ESP SVN CHN 0.90 0.80 0.70 0.60 0.50 0 10 20 30 40 50 GDP per hour worked 60 70 Figure: Balassa-Samuelson effects Asia Pacific Trade Economists’ Conference 2014 A New Measure of Economic Distance Traded Goods Prices 1.20 Average projected unit cost of traded goods 1.10 1.00 TUR POL SVK EST CZE IND 0.90 SVN USA AUS SWE GRC HUN ROU BGR FRA ESP MLT JPN LTU LVA CHN RUS BRA 0.80 MEX ITA CAN PRT KOR FIN DEU NLD BEL GBR AUT CYP LUX DNK IRL IDN 0.70 0.60 0.50 0.40 0 10 20 30 40 50 GDP per hour worked 60 70 Figure: Price of traded goods Asia Pacific Trade Economists’ Conference 2014 A New Measure of Economic Distance Revealed Comparative Advantage The Balassa RCA index is simple to construct, but has poor distributional properties It is also poorly related to the theoretical concept of comparative advantage Because our technique provides estimates of local unit costs, it also provides a theoretically grounded measure of revealed comparative advantage The measure also has the advantage of satisfying both ordinal and cardinal properties The main disadvantage is the relatively coarse macroeconomic data Asia Pacific Trade Economists’ Conference 2014 A New Measure of Economic Distance Selected Revealed Comparative Advantage Results Other Manufacturing Agriculture, Forestry and Fisheries Leather and Footwear Wood and Wood Products Food, Beverages and Tobacco Pulp, Paper and Printing Rubber and Plastics Chemicals and Chemical Products Mining and Quarrying Coke and Refined Petroleum Textiles and Textile Products Non-metallic Minerals Electrical Equipment Transport Equipment Machinery Basic and Fabricated Metals −0.3 −0.2 China −0.1 0 0.1 0.2 USA Figure: RCA index for 16 traded goods Asia Pacific Trade Economists’ Conference 2014 A New Measure of Economic Distance 0.3 Concluding Comments A measure of bilateral economic distance is the maximal percentage difference in unit costs across all sectors of two comparable economies. Since these are not observable, one must estimate them. We are the first to observe that the least squares projection of the unit vector onto a county’s unit-value technology matrix is the natural estimator for these costs, and to apply the measure Future work: Evaluating the evolution of trade costs over time, comparisons to other trade cost measures Generalized economic distance rather than geographic distance in gravity Endogenous determination of the margin between traded and non-traded goods Quantitative theory of the difference between Heckscher-Ohlin and Ricardian trade Asia Pacific Trade Economists’ Conference 2014 A New Measure of Economic Distance