Terms of Trade, Real Exchange Rate Over- Valuation and De-industrialization: Theory and Empirical Evidence on Brazilian Case ( )

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, Real Exchange Rate Over- Valuation and De-industrialization: Theory and Empirical Evidence on Brazilian Case (2003-2015) JOSÉ LUIS DA COSTA OREIRO PhD in Economics of Industry and Technology - Universidade Federal do Rio de Janeiro/Brazil. Associate professor of economics at Universidade Federal do Rio de Janeiro and Level IB Researcher at National Scientific Council. LUCIANO LUIZ MANARIN D AGOSTINI PhD in Economic Development - Universidade Federal do Paraná/Brazil. Researcher at Instituto de Economia, Universidade Federal do Rio de Janeiro /Brazil. 13th International Conference Developments in Economic Theory and Policy Bilbao, June 23th-24th, 2016 About the paper The objective of the present paper is to show that the macroeconomic performance of Brazilian economy in the last 12 years was mainly the result of shocks in terms of trade, where the exceptional improvement in the terms of trade occurred from 2006 was a major cause of overvaluation of real exchange rate, but also contributed to maintain inflation rate at low levels, to increase real wages and to reduce unemployment rate to a historically very low level. The exchange rate overvaluation that was caused by the improvement in terms of trade was a driving force in the process of de-industrialization of Brazilian economy from 2006 on, since it induced a substitution of domestic production for imports, which explains the stagnation of industrial output after 2011 in a context of growing domestic absorption. 1

In Section 1: Introduction Sections In Section 2: we present our theoretical framework, which is a three goods version of the Dependent Economy Macroeconomic Model. In Section 3 we made a descriptive analysis of macroeconomic performance of Brazilian economy from 2003 to 2015. In section 4 we made present some empirical evidence regarding the role of terms of trade shocks in the macroeconomic performance of Brazilian economy through the use of correlation analysis and multivariate time series with VAR analysis. In section 5 we present a brief summary of the conclusions. Section II -, Real Exchange Rate and Real We will present a three goods dependent economy macroeconomic model in order to analyze the effects of changes in terms of trade over real exchange rate and real wage in the Brazil. A dependent economy that had three sectors (h, x, i): a tradable sector that produces a good that can t be consumed in domestic markets (primary sector), another tradable sector that produces a good that can be consumed either in domestic or external markets (manufacturing) and a non-tradable sector (services). The output of each sector is supposed to be a function of the quantity of labor employed, which is the only input used in production. 2

Section II -, Real Exchange Rate and Real Production technology of each sector is given by: Supposing that in all sectors firms operate in conditions of perfect competition and firms to be profit-maximizers, the aggregate labor demand in each sector is given by: Where: is the term of trade; is the real exchange rate and is the real wage rate. Section II -, Real Exchange Rate and Real Prices of primary and manufacturing goods in domestic currency are given by: Where E is the nominal exchange rate defined as the price of foreign currency in terms of domestic currency. Regarding the nominal exchange rate we will suppose the existence of a system of fixed exchange rate. Without loss of generality we can normalize E as equal to one. Price of non-tradable goods is determined domestically. Domestic demand for manufactured and non-tradeable goods is taken to depend on the relative prices of the two goods, given by the real exchange rate, and on the total domestic absorption measured in terms of manufactured goods, a, given by: 3

Section II -, Real Exchange Rate and Real Let us suppose that the real domestic absorption of both manufactured and nontradeable goods is given by: Where: is the real value of government expenditure and Thus absorption depends positively on the terms of trade as well as on the shift parameter g. From equations (4) and (5) we can see that an increase in government expenditures and/or an improvement in terms of trade will result in an increase in domestic absorption. Changes in real exchange rate, on the other hand, can displace domestic absorption from manufacturing to service sector and vice-versa, being one of the fundamental determinants of composition of output. Section II -, Real Exchange Rate and Real Market-clearing in the non-tradable sector is given by: Trade balance measured in units of manufacturing goods is given by: Regarding the labor market, we will suppose that supply of labor is inelastic. This means that full employment condition is given by: In order to solve the model, we will suppose that terms of trade are exogenous, being determined in the international markets. Being so, the model has three independent equations [(6)-(8)] with three endogenous variables: z, and b. The system of equation is determinate. Putting (5) into (6) and taking the total derivative of the resulting equation we get: 4

Section II -, Real Exchange Rate and Real From equation (9) we can derive the slope of NN curve, that is the loci of all combinations of real exchange rate and real wage rate for which there is market for non-tradable goods clears. Taking in (9) we arrive at: That is for a given real wage rate, an improvement in terms of trade will result in an appreciation of real exchange rate. This occurs because an improvement in terms of trade will result in an increase in domestic absorption manufacturing goods and services). To restore market clearing it is necessary to increase the level of output for non-tradeable goods. Section II -, Real Exchange Rate and Real Since the real product wage in the non-tradeable sector is given by then real exchange rate has to appreciate, reducing the real product wage and thereby increasing the profit-maximizing level of employment. This will increase the level of output in the non-tradeable sector, eliminating the excess demand for non-tradable goods. Returning to the full-employment condition, taking the total derivative of equation (8) we get: From equation (10) we can derive the slope of LL curve, that is the loci of all combinations of real exchange rate and real wage rate for which full employment condition is met. Regarding From equation (9) we can derive the slope of NN curve, that is the loci of all combin Taking dn =dθ i (10) we arrive at: 5

Section II -, Real Exchange Rate and Real From (10) it is straightforward to see that: An improvement in the terms of trade, holding real exchange rate constant, will produce an increase in the level of real wage. Equations (9b) and (10b) show that an improvement in terms of trade is associated with a real exchange appreciation and an increase in the level of real wages. This occurs because an improvement in terms of trade cause a reduction of real product wage in the primary sector, increasing the labor demand and real output of this sector. Since economy is working at full employment, in order to increase output in the primary sector, workers had to be transferred from the manufacturing and service sectors, what will require an increase in the real wage paid in the primary sector. Due to the fact labor is supposed to be a homogenous input and also due to the hypothesis of perfect mobility of labor between sectors, an increase in the real wage in the primary sector will result in an increase of real wage in the manufacturing and service sector as well. Section II -, Real Exchange Rate and Real Due to the increase in real wages, real output and employment of the manufacturing sector will be reduced, given rise to a classic problem of Dutch Disease. 6

Industrial GDP / GDP (%) Gross Fixed Capital Formation/GDP (%) Real Exchange Rate (2006=100) (2006=100) mar-03 set-03 mar-04 set-04 mar-05 set-05 mar-06 set-06 mar-07 set-07 mar-08 set-08 mar-09 set-09 mar-10 set-10 mar-11 set-11 mar-12 set-12 mar-13 set-13 mar-14 set-14 mar-15 set-15 Mar-03 Sep-03 Mar-04 Sep-04 Mar-05 Sep-05 Mar-06 Sep-06 Mar-07 Sep-07 Mar-08 Sep-08 Mar-09 Sep-09 Mar-10 Sep-10 Mar-11 Sep-11 Mar-12 Sep-12 Mar-13 Sep-13 Mar-14 Sep-14 Mar-15 Sep-15 Real Growth Rate of GDP (%) Open Unemployment Rate(%) Real Wages (Brazilian Money) 24/6/2016 Section III Macroeconomic Performance of Brazilian Economy (2003-2015) 149 Lula I Lula II Dilma 142 135 128 121 114 107 100 93 86 79 72 2600 2400 2200 2000 1800 1600 1400 1200 1000 800 600 400 200 0 Real Exchange Rate Real Wages Brazil Source: Central Bank of Brazil. Authors own elaboration. Section III Macroeconomic Performance of Brazilian Economy (2003-2015) 22 21 20 19 18 17 16 15 14 13 12 11 10 9 Lula I Lula II Dilma 15 13 11 9 7 5 3 1-1 -3-5 Industrial GDP/GDP (%) Gross Fixed Capital Formation/GDP (%) Real Growth Rate of GDP (%) Open Unemployment Rate (%) Source: Central Bank of Brazil. Authors own elaboration. 7

Anualizated Acumulated Inflation Rate(%) Real Interest Rate (%) Public Sector Borrowing Requeriments/GDP Current Account (Millions of US$) Capital and Financial Account (Millionns of US$) mar-03 ago-03 jan-04 Mar-03 jun-04 nov-04 Nov-03 abr-05 Jul-04 set-05 Mar-05 fev-06 jul-06 Nov-05 dez-06 Jul-06 mai-07 out-07 Mar-07 mar-08 Nov-07 ago-08 Jul-08 jan-09 jun-09 Mar-09 nov-09 Nov-09 abr-10 set-10 Jul-10 fev-11 Mar-11 jul-11 dez-11 Nov-11 mai-12 Jul-12 out-12 Mar-13 mar-13 ago-13 Nov-13 jan-14 Jul-14 jun-14 nov-14 Mar-15 abr-15 Nov-15 set-15 Current Account/GDP (%) Financial and Capital/GDP(%) International Reserves (Million of USD) 24/6/2016 Section III Macroeconomic Performance of Brazilian Economy (2003-2015) 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0-1 -2-3 -4-5 Lula I Lula II Dilma 400000 360000 320000 280000 240000 200000 160000 120000 80000 40000 Anualizated Acumulated Inflation Rate Public Sector Borrowing Requirements on GDP Real Interest Rate International Reserves (Milions of USD) Source: Central Bank of Brazil. Authors own elaboration. Section IV The effects on macroeconomic variables after shock in the 130000 110000 90000 70000 50000 30000 10000-10000 -30000-50000 -70000-90000 -110000 Lula I Lula II Dilma 6 5 4 3 2 1 0-1 -2-3 -4-5 -6 Current Account Balance Balance on Capital and Financial Account Current Account/GDP (%) Financial and Capital/GDP (%) Source: Central Bank of Brazil. Authors own elaboration. 8

Sales in commerce Real GDP Growth (%) 2011.12 2012.01 2012.02 2012.03 2012.04 2012.05 2012.06 2012.07 2012.08 2012.09 2012.10 2012.11 2012.12 2013.01 2013.02 2013.03 2013.04 2013.05 2013.06 2013.07 2013.08 2013.09 Manufaturing Output manufacturing industry output 24/6/2016 Section III Macroeconomic Performance of Brazilian Economy (2003-2015) 6 129 5 4 3 2 1 128 127 126 125 124 123 0 2011.Q4 2012.Q1 2012.Q2 2012.Q3 2012.Q4 2013.Q1 2013.Q2 2013.Q3 Real GDP Growth Manufaturing output 122 Source: Central Bank of Brazil. Authors own elaboration. Section III Macroeconomic Performance of Brazilian Economy (2003-2015) 115 83,2 110 83,0 82,8 105 82,6 100 82,4 82,2 95 82,0 Sales in commerce Manufacturing output Source: Central Bank of Brazil. Authors own elaboration. 9

2003.01 2003.05 2003.09 2004.01 2004.05 2004.09 2005.01 2005.05 2005.09 2006.01 2006.05 2006.09 2007.01 2007.05 2007.09 2008.01 2008.05 2008.09 2009.01 2009.05 2009.09 2010.01 2010.05 2010.09 2011.01 2011.05 2011.09 2012.01 2012.05 2012.09 2013.01 2013.05 2013.09 2014.01 2014.05 2014.09 24/6/2016 Section III Macroeconomic Performance of Brazilian Economy (2003-2015) Observation of the Profit Squezze Movement 2010-2014 Year ROE Nominal Interest Rate of capital GFCF/GDP (1) Rate (2) Accumulation (3) 2010 16,5% 9,8% 35% 20,65% 2011 12,5% 11,7% 12% 20,64% 2012 7,2% 8,5% -4,4% 20,47% 2013 7,0% 8,2% 7,5% 20,43% 2014 4,3% 10,9% 0% 19,55% Source: Rocca (2015). Authors own elaboration. Note: (1) and (2) are Average. (3) and (4) are end of period. Table II Evolution of ROE, Selic/Over, Rate of capital Accumulation and GFCF/GDP (2010-2014) 160 Section III - Macroeconomic Performance of Brazilian Economy (2003-2015) 140 120 100 80 60 40 20 0 Real effective exchange rate/wage Source: Authors own elaboration. 10

This section analyze the reaction functions in several macroeconomic variables of Brazilian economy, following a positive exogenous shock in terms of trade. The period of sample observations is 2003 to 2015, during the mandates of Presidents Lula (2003-2010) and Dilma (2011-2015). Before the presentation of the results of the reactions functions, we adopted some statistical and econometric procedures, in order: a) Correlation analysis between variables: Based on section II, several macroeconomic variables of the Brazilian economy were selected as candidates to compose the set of variables of the dynamic statistical model. b) Use of Temporal Multivariate Series: Vector Auto Regressive models (VAR), with finite lag orders, were specified, estimated, analyzed and used to generate graphs of reaction function. Note: some variables had to be calculated or even handled in such a way to adjust the database, namely the output gap, the domestic absorption, real interest rate and the real growth rate of deflated product IPC-A (CPI-A). The Gap Output was calculated wit HP filter: The series is made up of a trend component, denoted by and a cyclical component, denoted by such that in econometrics with disturb,. 11

The domestic absorption, AD, was calculated as the difference between the gross domestic product at market price, GDP at market prices, and the net balance of exports of goods and services, NX: The real interest rate was calculated as: The variable real growth rate of gross domestic product accumulated in the last twelve months was calculated by deflating in terms of the accumulated CPI-A in twelve months: The Correlations between terms of trade (TT) with other macroeconomic variables President Lula Dilma All Period 2003-2010 2011-2015 2003-2015 Quarter Samples 32 19 51 Correlation TT TT TT 1,00 1,00 1,00 Real Exchange Rate -0,83-0,85-0,78 Interest Rate -0,77-0,33-0,71 Inflation -0,56-0,54-0,32 Real Interest Rate -0,52 0,03-0,71 Public Sector Borrowing Requirement on GDP -0,40-0,89-0,42 Acumullated GDP 0,46-0,90 0,70 %GDP in 12 months -0,56 0,78-0,11 % real GDP in 12 months 0,32 0,80 0,14 Industrial GDP 0,90-0,33 0,79 Market Price GDP 0,91-0,64 0,71 GDPind/GDPpm (%) -0,30 0,64-0,61 Gross Fixed Capital Formation 0,90-0,45 0,77 Gross Fixed Capital Formation on GDP 0,74 0,73 0,74 Net Exports (NX) -0,42 0,33-0,65 Domestic Absorption (AD) 0,91-0,64 0,71 Unemployement (U) -0,81-0,38-0,86 Real Wage (W) 0,89-0,34 0,80 Open Unemploymet Rate - T.DA-RM -0,76-0,65-0,79 OUTPUT GAP% -0,26 0,42 0,32 Δ -0,09 0,49 0,05 % in 12 months 0,47 0,59 0,18 Δ Domestic Absorption 0,44 0,27 0,26 %Domestic Absorption - Quarterly 0,27 0,32 0,06 % Domestic Absorption in 12 months 0,26 0,54 0,07 Δ Real Wage 0,38 0,30 0,15 %Real Wage - Quarterly 0,34 0,30 0,12 %Real Wage in 12 months 0,41 0,63 0,28 Δ Industrial GDP 0,17 0,10 0,01 %Industrial GDP - Quarterly 0,08 0,10-0,06 % Industrial GDP in 12 months 0,11 0,22-0,15 %Real Industrial GDP in 12 months 0,14 0,03 0,02 Premium Risk - EMBI-BR -0,59-0,81-0,65 Correlation Coeficient Value Degree of correlation strong positive correlation moderate positive correlation weak correlation or correlation absence moderate negative correlation strong negative correlation Variables enter in VAR? Yes, except if Yes No Yes Yes, except if Positive Strong Moderate Positive Low Correlation or not Moderate Negative Negative Strong Legend: Correlation Correlation existent Correlation Correlation 12

The AnalisysVAR Model Based on the correlations we choose the endogenous variables inserted in the terms of trade model (TT) to dependence economy, where the shock will be given in terms of trade. The variables are: terms of trade (TT), Country risk premium (EMBIBR), Real Exchange Rate (TRC), Real Interest Rate (TRJ), gross fixed capital formation/gdp (GFCGGDP), Industrial GDP on GDP (GDPindGDP), Domestic absorption(da), Output gap (GAP), Public Sector Borrowing Requirement on GDP (PSBRGDP), Real Labor Income(W), Unemployment(U), Inflation(IPCA). This is the starting order of the variables into VAR, chosen after the presentation of dependent economy model (see Section 2). The AnalisysVAR Model For the empirical analysis we adopted the following in order : (i) specify the VAR models following Sims-Stock-Watson(1990), i.e., with several variables in level, first differences or combinations of both, (ii) choose to lag optimal VAR(p) the criteria of Akaike (AIC), Final Prediction Error (FPE), Hannan-Quinn (HQ) and Schwarz (SC); (iii) estimate VAR models by Estimated Generalized Least Squares (EGLS) intercept, trend, restriction in coefficients via Top/Down method chosen by Akaike criteria; (iv) analyze the stability of VAR by eingelvalues polynomial reverse feature; (v) make the structural break point from Chow Forecast Test; (vi) make Cusum on each residual equation of the VAR, as Brown et al (1975); (vii) analyzing the autocorrelation of residuals through the auto-correlation function and partial auto-correlation, Portmanteau tests and Breusch (1978) and Godfrey (1978); (vii) analyze the normality of the residual from function Kernel type Gaussian with multivariate Jarque-Bera, Lütkepohl (1993) and Doornik-Hansen (1994) tests (ix) Generate impulse (shock) in the variable terms of trade and analyze the responses of the variables entered in the systems. 13

Break Points in Brazilian Economy Accumulated Responses in the macroeconomic variables after VAR Orthogonal Impulse in the terms of trade (TT) 14

Results of the VAR Results of the VAR and Final Remarks a) As we can see a positive shock in is associated with a permanent decrease in the sovereign risk premium measures by EMBI+, in the investment rate, industrial GDP on GDP, unemployment rate and inflation. b) Real exchange rate appreciates in first instance, and then depreciates after some periods c) A positive shock in terms of trade is also associated with a permanent increase in the real income per worker and in output gap. d) The change from a good to a poor macroeconomic performance in Brazil after 2013 can be partially explained by the combined effects of a negative shock in terms of trade and a positive shock in domestic absorption due to the trend increase in primary expenditures to GDP. e) But these factors do not seem to be enough to explain the magnitude of the fall in GDP occurred in 2015. As we saw there is econometric evidence of structural break in the econometric model in 2012, 2013 and, more strongly, in 2015. This structural break may be caused by the increased in the perception of uncertainty due to the recent Brazilian political crisis and the empirical evidence on Brazilian case about terms of trade, real exchange rate over-valuation and de-industrialization. 15

Final Remarks What factors explain this collapse of Brazilian macroeconomic performance after 2014? In Section III, we had that due to exchange rate over-valuation caused by the improvement in, Brazilian economy had experienced some structural negative changes like de-industrialization and re-primarization of exports that reduced its long-run growth potential. These structural changes were sufficient to explain a situation of near stagnation that Brazil experienced in the period 2011-2013; but are incapable for its own to produce a deep recession as the one seen in 2015. The first cause of the contraction of aggregate demand was the reduction of investment rate. This contraction of investment demand is for sure the result of ROE falling below the safe rate of interest after 2012 a result of a profit squeeze (Section III). Besides that, the public scandal originated by police investigations of corruption (the socalled operação lava-jato ) at PETROBRAS had provoked a major political crisis with a serious threat of impeachment of President Dilma Rouseff. Final Remarks What factors explain this collapse of Brazilian macroeconomic performance after 2014? This crisis had also a clear and negative (but until now not quantified) effect over investment expenditures of private sector since it increased the perceived uncertainty in economic environment. Finally, the deterioration in terms of trade had also a negative effect over profitability of investment projects of the mining industry (oil and iron ore), which become increasing important in Brazil during the commodity boom. The huge contraction of real income per-worker since the beginning of 2015. The real income per-worker started to fall at a very fast rate, with the expected effects over consumption expenditures. The fall in real income per-worker was the result of inflation acceleration occurred in 2015 combined with the increasing in the rate of unemployment. To sum-up, a combination of change in international economic environment, delayed effects of errors in the conduction of economic policy, profit squeeze and a major political crisis had created the scenario of a perfect storm, generating a huge contraction of aggregate demand that reduced growth below potential. 16

Final Remarks Since potential growth was reduced due to negative structural changes that Brazilian economy faced as a consequence of exchange rate over-valuation, the result was a deep recession, probably the deepest that occurred in Brazil since the end of Second World War. The positive side of this scenario is that real exchange rate seemed to return to a competitive level in the second semester of 2015. Indeed, nominal exchange rate had experienced a huge depreciation due to the combined effects of deterioration of terms of trade and uncertainty created by the political crisis in Brazil. From July of 2014 to July of 2015, nominal exchange rate had devaluated in 49,7%, reaching a value near R$ 3,40 in the beginning of august. 17