THE INDUSTRIAL EQUILIBRIUM EXCHANGE RATE

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THE INDUSTRIAL EQUILIBRIUM EXCHANGE RATE Nelson Marconi Getulio Vargas Foundation, Brasil 1st New Developmentalism s Workshop Theory and Policy for developing Countries 25 July, 2016

Definitions A firm will be competitive in open economies when its profitability is similar to the one obtained by their competitors in domestic and foreign markets In order to enable the participation of domestic firms in the foreign market: The profitability, calculated in local currency, of the exporters should be similar, or close, to the profitability that they would obtain for their performance in the domestic market, assuming the latter is satisfactory. And this profitability has also to equalize the one obtained by their competitors in foreign trade in order to keep the competitiveness of domestic firms in the global market. 2

Definitions The variable that would enable this equalization between the profitability of the exporters in domestic and foreign markets is the exchange rate The profit margin is essential to understand the concept of equilibrium exchange rate The current account equilibrium exchange rate is defined as the one that ensures a satisfactory profitability for such a number of companies engaged in foreign trade which generate a volume of exports and imports resulting in a current account equilibrium There is a single equilibrium exchange rate, that is the current equilibrium, for an economy that is not suffering from Dutch disease process 3

Definitions But, if an economy suffers a Dutch disease process, that is, it has comparative advantages relevant in the production of primary commodities and derivatives, companies operating in these sectors have a lower production cost or face higher prices in foreign markets. They have a higher profit margin, and a more appreciated exchange rate (compared to the necessary in the scenario where there is no Dutch disease) will be sufficient to ensure profitability. As the foreign trade operations of these companies have virtually guarantees the achievement of equilibrium in the current account, the value of the exchange rate necessary to ensure such equilibrium will also be lower than in the case of absence of natural and relevant comparative advantages. 4

Definitions However, a number of other companies that do not face the same comparative advantages will not reach the same profit margin. They require a higher exchange rate to remain competitive in foreign or domestic markets, Because in this scenario these companies lose access to the demand in the market they could compete, foreign or domestic (in the latter case due to cheap imports). In an economy suffering from the Dutch disease, such companies are those that produce manufactured goods. 5

Example Producer of Producer of primary goods manufaturing goods Price in US$ 100 100 Average cost in reais 40 80 Exchange rate (R$/US$) 1 1 Average revenue in R$ 100 100 Profit margin 60 20 supposing an appretiation: Exchange rate (R$/US$) 0,7 0,7 Average revenue in R$ 70 70 Profit margin 30-10 6

In fact, profit margin of mining, quarrying and petroleum industries in Brazil are larger 7

And profit margin in other industries in Brazil are sticker and declining 8

Definitions of industries groups 1 - Mining and quarrying 2 - Manufacturing based on natural resources Food products, beverages and tobacco Basic metals and fabricated metal products Other non-metallic mineral products Biofuels 4 - Medium-high-technology industries Electrical machinery and apparatus, n.e.c. Motor vehicles, trailers and semi-trailers Chemicals excluding pharmaceuticals Railroad equipment and transport equipment, n.e.c. Machinery and equipment, n.e.c. Building and repairing of ships and boats 3- Medium-low-technology industries and lowtechnology industries Rubber and plastics products Wood, pulp, paper, paper products, printing and publishing Textiles, textile products, leather and footwear Manufacturing, n.e.c.; Recycling 4- High-technology industries Aircraft and spacecraft Pharmaceuticals Office, accounting and computing machinery Radio, TV and communications equipment Medical, precision and optical instruments 5 - Petroleum Crude petroleum Coke, refined petroleum products and nuclear fuel 9

Definitions In a Dutch Disease framework, the exchange rate that manufacturing industries need to be competitive is different, higher than enough to ensure equilibrium in the current account; we call that rate as the "industrial equilibrium". The industrial equilibrium exchange rate is defined as the one enabling producers of manufactured goods close to the production frontier (or in the state-of-art ) to be competitive in relation to foreign firms (in foreign or domestic markets). 10

Definitions How to calculate the industrial equilibrium exchange rate? Remember that the definition of profit margin is essential to understand the concept of equilibrium exchange rate! Our discussion is based on the assumption that competitiveness requires equalization of profit margins. So the methodology of calculation for industrial equilibrium exchange rate is based on this assumption 11

What is the profit margin? P = M + Cavg P = μp + Cavg P μp = Cavg P 1 μ = Cavg P = 1 (1 μ) Cavg P = price or marginal revenue M = profit per unit Cavg = average cost µ = profit margin (0 < µ < 1) 1 μ = Cavg P μ = 1 Cavg P 12

In closed economies, μ = 1 Cavg P Cavg = W λ W = wage rate λ = average labor productivity W/λ = unit labor cost μ = 1 W/λ P Profit margin will vary according to the real unit labor cost 13

In open economies, Marginal revenue in domestic currency for exporters in country A is: P = P g E Average cost is: Cavg = W λ + (1 - ) P imp E And their profit margin is: P g = Price of good in global market E = nominal exchange rate P imp = Price of imported inputs in global markets = Share of domestic goods in production μ a = 1 W λ + (1 ) P imp E P g E 14

In open economies, μ a = 1 [ W λ P g E + (1 - ) P imp P g ] P g = Price of good in global market E = nominal exchange rate And the profit margin for the competitive firms abroad is: P imp = Price of imported inputs in global markets μ b = 1 [ b W/λ b P g + (1 - ) b P imp b P g ] = Share of domestic goods in production 15

In open economies, Since competitiveness requires equalization of profit margins, μ a = μ b, in order to country a to be competitive 1 [ W λ P g E + (1 - ) P imp P g ] = 1 [ b W/λ b P g + (1 - ) b P imp b P g ] Rearranging the equation, E = W/λ b W/λ b + (1 ) b P imp b (1 ) P imp 16

In open economies, The exchange rate that will equalize profit margins would be defined by: Unit labor costs in country a and abroad ( b ) Price of imported inputs used by producer in country a, Price of imported inputs used by producers abroad, Share of domestic goods in production in country a and abroad This is a useless definition, since all this information is difficult to get from many countries and competitors 17

How to calculate the industrial equilibrium exchange rate? In order to make a simpler estimation, we consider that P imp = P imp b (since both competitors face the same global market), and = b (that is, the share of local inputs is the same for competitors; they produce same goods with similar combination of inputs) W/λ P g E = W/λ b P g 18

How to calculate the industrial equilibrium exchange rate? E = W/λ W/λ b The industrial equilibrium exchange rate is defined as the relation between unit labor costs in country a and abroad, that is, in the countries in which competitors on the global market produce (b) Multiplying both terms by 1 Pa 1 P b, where P = average price level; W/λ = ULC E.P b P a = ULCa Pa ULC b P b The the real exchange rate of a country will be at its satisfactory level to maintain the competitiveness of its producers of manufactured goods on the foreign market when it is equal to the ratio between the real unit labour costs of a and b. This is the industrial equilibrium real exchange rate (IEER) 19

How to calculate the industrial equilibrium exchange rate? The industrial equilibrium is an effective exchange rate between the currency of the country where exporter a produces and the currencies of countries in which competitors on the global market (b) produce Step 1 Thus, it is necessary to calculate the unit labor costs of Brazil and its major trading partners, defined as those with the largest trade flows towards our country. Through the analysis of Brazilian trade flows since 1995, it is clear that there are a number of countries beyond which extend the analysis does not bring more analytical benefits. In fact by adding the participation of the largest fifteen Brazilian commercial partners, we have, on average, more than 75% of the total annual trade flow, requiring more than half of that number to add another 5%. In order to make it easier and without informational loss analysis, calculation proposed here is restricted to the analysis of unit labor costs of the fifteen main Brazilian trade partners for manufactured goods. 20

How to calculate the industrial equilibrium exchange rate? Countries included (and corresponding 2009-2015 share in Brazilian trade flow) are: United States 21,66% China 18,54% Argentina 15,34% Germany 9,37% Korea, Rep. 5,10% Japan 4,73% Mexico 4,65% Italy 3,98% France 3,53% Netherlands 3,04% United Kingdom 2,44% Spain 2,11% Chile 2,04% India 1,80% Canada 1,68% 21

How to calculate the industrial equilibrium exchange rate? Step 2 Then we calculate unit labor costs in local currency for these countries, and perform the weighted average of their unit costs, which becomes indicative of the unit labor costs of the main partners of Brazilian trade flow and should be compared directly to the unit labor cost in Brazil. IEER is calculated as the ratio between unit labor cost in Brazil and unit labor costs of its trading partners. So the increase in this ratio means that unit labor costs in Brazil increased more than the average of its competitors, indicating loss of competitiveness. A higher (more devaluated) exchange rate will be necessary to recover competitiveness of Brazilian manufacturing. The same reasoning applies otherwise. This measure of this relative competitiveness is the IEER. IEER is a index of a real effective exchange rate based on the ratio between unit labor costs in Brazil and unit labor costs in main trading Brazilian partners (regarding trade in manufactured goods). 22

Index of real industrial equilibrium exchange rate 2005 = 100 moving average in 12 months Source: IBGE, WDI, FMI and statistical government organizations Calculus: Center for New Developmentalism 23

Index of real industrial equilibrium exchange rate (IEER) and real effective exchange rate (REER) 2005 = 100 moving average in 12 months Source: IBGE, WDI, FMI and statistical government organizations Calculus: Center for New Developmentalism 24

How to calculate the industrial equilibrium exchange rate? But this is a index! We need to calculate a value of the current exchange rate that corresponds to this industrial equilibrium index Step 3 Find a year basis It should be an year in which the observed real exchange rate is at the level of industrial equilibrium exchange rate Since the level of industrial equilibrium exchange rate is by definition more depreciated than the level of the current account equilibrium exchange rate, the country with Dutch disease should have a current account surplus that year basis. Given that Dutch disease in the Brazilian economy is not severe but moderate, that surplus should be small. Thus it was chosen the year 2005, in which the exchange rate was around the industrial balance, since the current account balance presented a slightly surplus. 25

How to calculate the industrial equilibrium exchange rate? Once the effective industrial equilibrium exchange rate index (IEER) is calculated and year basis is found, it is necessary to calculate a value of the current nominal exchange rate R$/US$ that corresponds to that level of IEER Step 4 The value of equilibrium exchange rate can be calculated from the application of the formula below, which is derived from the basic formula of a real effective exchange rate calculation. Given the value of other currencies in reais, we calculate the nominal exchange rate R$/US$ would allow the real exchange rate to stay at the level of IEER found for 2005. 26

How to calculate the industrial equilibrium exchange rate? n IEER = i=1 R$ LCU i CPI i CPI BRA weight i IEER = R$ US$ CPI USA n weight CPI USA + i=2 BRA R$ LCU i CPI i CPI BRA weight i IEER = R$ US$ CPI USA CPI BRA n weight USA + i=2 R$ US$ US$ LCU i CPI i CPI BRA weight i IEER = R$ US$ CPI USA weight CPI USA + R$ BRA US$ n i=2 US$ LCU i CPI i CPI BRA weight i IEER = R$ US$ CPI USA weight CPI USA + 1 BRA CPI BRA n i=2 US$ LCU i CPI i weight i 27

How to calculate the industrial equilibrium exchange rate? R$ US$ = IEER 2005 CPI USA CPI BRA weight USA + 1 CPI BRA n i=2 US$ LCU i CPI i weight i After this calculation, we divide this result by 100 and multiply it by the billateral nominal exchange rate R$/US$ in 2005 (our year basis) This is the necessary billateral nominal exchange rate to return to the IEER in 2005 28

Necessary nominal billateral exchange rate (R$/US$) to return to the real industrial equilibrium exchange rate of 2005 Source: IBGE, WDI, FMI and statistical government organizations Calculus: Center for New Developmentalism 29

What happened to the investment rate in recent years? Composition of investment rate Values at current prices (1 000 000 R$) 2010 2011 2012 2013 2014 2015 Total 21,8 21,8 21,4 21,7 20,9 17,7 Investment 20,5 20,6 20,7 20,9 20,2 18,2 Construction 10,2 10,4 10,8 10,7 10,6 10,1 Housing 4,1 4,2 4,6 4,7 Others 6,1 6,2 6,2 6,0 Machinery and equipments 8,0 7,8 7,5 7,9 7,1 5,5 Transport equipment 3,0 2,9 2,6 2,7 TIC Equipment 1,1 1,1 1,1 1,2 Others 3,9 3,9 3,8 4,0 Others 2,3 2,4 2,4 2,3 2,5 2,5 Intellectual property products 1,9 2,0 2,1 2,0 Reseach and development 0,9 0,9 0,9 0,9 Software, mineral exploration and evaluation 1,1 1,2 1,2 1,2 Other fixed assets 0,4 0,3 0,3 0,3 Source: IBGE, National Accounts 30