M A R K E T STRUCTURE: CONCENTRATION AND IMPORTS AS D E T E R M I N A N T S O F I N D U S T R Y M A R G I N S A l e j a n d r o Castañeda E l C o l e g i o d e México Sabido and CIDE* David Mulato Universidad Torcuato Resumen: d i Telia Se analizan los determinantes de los márgenes de precio costo de acuerdo con el enfoque tradicional de organización industrial. Los márgenes de precio costo se hacen función de los índices de concentración y el grado de penetración de importaciones. Los resultados indican que las importaciones reducen los márgenes de precio-costo de la industria doméstica. E n el periodo posterior a la liberalización comercial el impacto de la concentración disminuye. Con ajustes por comportamiento cíclico de los márgenes de precio costo, se muestra que los estudios de sección cruzada tienden a sesgar las estimaciones. Se distingue entre bienes durables y no-durables y se encuentra que la concentración afecta el márgen de precio costo de los durables. Abstract: The paper analyzes the determinants of price-cost margins following traditional industrial organization approaches. The price-cost margins are made function of the concentration index, and the degree of import penetration. We find that imports act as a market disciplining device that reduces the price-cost margins of the domestic industry. After trade liberalization, the impact of concentration diminishes. Controlling for cyclical behavior of the price-cost margins the paper shows that cross-section studies tend to bias the estimates. A distinction between durables and non-durables is made, finding strong evidence for concentration to affect the price-cost margins of durables. Clasificación J E L : LOO, L l l , L 6 0 . Palabras clave: price-cost margins, effects, márgenes de p r e c i o - c o s t o , efectos cíclicos. Fecha de recepción: 22 X I 2004 import penetration, concentration, penetración de i m p o r t a c i o n e s , Fecha cyclical concentración, de aceptación: 4 V 2 0 0 6 * Sabbatical, visiting professor at C I D E . [email protected] 177 178 1. ESTUDIOS ECONÓMICOS Introduction I n 1986, the M e x i c a n government i n i t i a t e d a n aggressive l i b e r a l i z a t i o n process. I n 1985, t h e average tariff was 23.5 percent, a n d 92.2 percent of n a t i o n a l p r o d u c t i o n was protected by i m p o r t license requirements. B y t h e e n d of 1987, the average tariff was reduced to 11.8 percent a n d i m p o r t license requirements covered o n l y 25.4 percent of n a t i o n a l p r o d u c t i o n w i t h a m a x i m u m rate of 20 percent. T h i s process s h o u l d have h a d a n i m p a c t o n the c o m p e t i t i v e regime experienced by t h e M e x i c a n m a n u f a c t u r i n g sector. T h i s paper estimates a m o d e l t h a t studies the i m p a c t of t r a d e l i b e r a l i z a t i o n a n d the i m p a c t of o t h e r variables o n price cost m a r g i n s . 1 Before t h e advent of the new e m p i r i c a l i n d u s t r i a l o r g a n i z a t i o n a p p r o a c h as surveyed i n B r e s n a h a n (1989), e m p i r i c a l i n d u s t r i a l o r g a n i z a t i o n l i t e r a t u r e a p p l i e d most of its resources to l e a r n from i n d u s t r y b e h a v i o r . A s e m i n a l s t u d y i n this t r a d i t i o n is the one p u b l i s h e d b y B a i n i n 1951. T h e t y p i c a l s t u d y i n this v e i n of research put a set of i n d u s t r i e s together for a single p e r i o d of t i m e a n d a n a l y z e d , w i t h regression techniques, the d e t e r m i n a n t s of p r o f i t a b i l i t y or price m a r gins. Schmalensee argued i n favor of this a p p r o a c h . I n his 1985 p a p e r he defended the i n d u s t r y as u n i t of a n a l y s i s . 2 A p r o b l e m w i t h cross section studies lies i n t h a t they do not a l l o w for i n d u s t r y specific characteristics. I n this s t u d y we have assembled t h e d a t a of 63 industries t h a t runs f r o m 1980-1998. The pooling of t i m e series a n d cross sections allows us to s t u d y the d e t e r m i n a n t s of p r i c e m a r g i n s , w h i l e a l l o w i n g for unobservable i n d i v i d u a l i n d u s t r y effects, thereby s o l v i n g p o t e n t i a l biases shown i n O L S estimates. 3 I n this paper, we investigate the determinants of i n d u s t r y m a r gins for the M e x i c a n m a n u f a c t u r i n g sector. W e a n a l y z e the i m p a c t of t r a d e l i b e r a l i z a t i o n o n price cost margins a n d s t u d y the i m p a c t of the business-cycle o n the d e t e r m i n a n t s of price-cost m a r g i n s . T h i s last t o p i c is i m p o r t a n t because, as some oligopoly models have p r e d i c t e d ( R o t e m b e r g a n d Saloner, 1986; H a l t i w a n g e r a n d H a r r i n g t o n , 1991; G r e e n a n d P o r t e r , 1984; a n d A t h e y , B a g w e l l , a n d S a n c h i r i c o , 2002) price-cost m a r g i n s m a y change across the cycle. R o t e m b e r g a n d Saloner (1986) a n d H a l t i w a n g e r a n d H a r r i n g t o n (1991) have p r e 1 See Domowitz, Hubbard, and Petersen (1986 a, b) for similar studies in other countries. 2 McGahan (1999) argues that very recently some others have turned back to the industry as unit of analysis. 3 See the appendix for details. D E T E R M I N A N T S O F INDUSTRY MARGINS 179 dieted t h a t concentrated i n d u s t r i e s t e n d to collude less d u r i n g b o o m s to prevent defections. A t h e y B a g w e l l a n d S a n c h i r i c o (2002) showed t h a t the p r e d i c t i o n of c o u n t e r c y c l i c a l p r i c i n g m a d e by R o t e m b e r g et al. is robust to schemes w i t h p r i v a t e cost i n f o r m a t i o n . T h i s c y c l i c a l v a r i a t i o n m a y also interact w i t h the i m p o r t p e n e t r a t i o n r a t i o a n d the c a p i t a l o u t p u t r a t i o . W e investigate these possibilities. T h e use of c o n c e n t r a t i o n as a n e x p l a n a t o r y v a r i a b l e s t a r t e d early i n the cross section studies (see for e x a m p l e C o l l i n s a n d P r e s t o n , 1969). It emerges also n a t u r a l l y f r o m one stage non-cooperative q u a n t i t y games. T h e p r e d i c t i o n from these models states t h a t , other t h i n g s being e q u a l , a higher degree of c o n c e n t r a t i o n i n a n i n d u s t r y s h o u l d lead to a larger (average) L e r n e r index. It is t h i s p r e d i c t i o n t h a t leads c o m p e t i t i o n commissions to c a l c u l a t e c o n c e n t r a t i o n i n d e x as a n i n d i c a t i o n of the presence of s u b s t a n t i a l m a r k e t power ( p o d e r s u s t a n c i a l d e m e r c a d o ) exerted b y a f i r m or b y a whole i n d u s t r y . I m p o r t s act as a m a r k e t power d i s c i p l i n i n g device. A g a i n , n o n cooperative one stage games c a n be used to analyze the i m p a c t of i m p o r t s o n t h e L e r n e r i n d e x . T h e results d e p e n d u p o n the assumed behavior of the i m p o r t i n g sector. If i m p o r t s are i n e l a s t i c a l l y supplied t h e n n o n - c o o p e r a t i v e q u a n t i t y games predict t h a t the L e r n e r index is affected t h r o u g h a n adjustment of the c o n c e n t r a t i o n index. If i m p o r t s have some degree of elasticity, a change i n the e l a s t i c i t y of i m p o r t s u p p l y changes t h e L e r n e r i n d e x of domestic firms. T h i s a p p r o a c h assumes t h a t the i m p o r t i n g sector behaves c o m p e t i t i v e l y . If i n f o r m a t i o n is disaggregated enough so t h a t it allows for c a l c u l a t i o n of the shares of large firms o n i m p o r t s a n d we c a n o b t a i n d a t a o n stocks, hours for t h i s sector, etc., t h e n we c o u l d , i n p r i n c i p l e , m o d e l p a r t of t h e i m p o r t i n g sector as oligopolist a n d the other p a r t as c o m p e t i t i v e . However, t h a t i n f o r m a t i o n is not available for this s t u d y a n d we m o d e l this sector as c o m p e t i t i v e . T h e m a i n results are as follows. T h e change i n the t r a d e regime affects t h e i m p a c t of c o n c e n t r a t i o n o n the L e r n e r index. T h e size of t h e coefficient of the c o n c e n t r a t i o n v a r i a b l e diminishes as we move f r o m the p r e - l i b e r a l i z a t i o n p e r i o d to the p o s t - l i b e r a l i z a t i o n p e r i o d . C o m p e t i t i o n f r o m i n t e r n a t i o n a l p r o d u c t s changes the r e s i d u a l dem a n d faced by domestic firms generating a lower price m a r g i n for a given level of c o n c e n t r a t i o n . T h e signs of the i m p a c t of the v a r i ables are fairly robust towards changes i n the specification of the equations. A f t e r t h e l i b e r a l i z a t i o n p e r i o d , we find for the whole m a n u f a c t u r i n g sector t h a t c o n c e n t r a t i o n has, i n a b o o m , a lower i m p a c t o n the price-cost m a r g i n . A p p a r e n t l y , concentrated industries have less collusive agreements i n b o o m s . T h e r e is a difference i n the i m - 180 ESTUDIOS ECONÓMICOS pact of e x p l a n a t o r y variables a c c o r d i n g to the t y p e of g o o d ( d u r a b l e or n o n - d u r a b l e ) . 2. Methodology C o n s i d e r a one stage C o u r n o t m o d e l a n d foreign c o m p e t i t i o n f r o m a b r o a d . W e consider t h e foreign sector as b e h a v i n g c o m p e t i t i v e l y . A s e x p l a i n e d by T i r o l e (1988), a C o u r n o t oligopolist is a m o n o p o l i s t over its r e s i d u a l d e m a n d . T h u s it c a n be easily proved t h a t its L e r n e r i n d e x is e q u a l to the following: 1 P - C ' w i t h P d e n o t i n g price, C' m a r g i n a l cost a n d e f the r e s i d u a l dem a n d elasticity of a C o u r n o t c o m p e t i t o r . If we i n c o r p o r a t e the s u p p l y of foreign i m p o r t s , t h e n the r e s i d u a l d e m a n d of a n a t i o n a l C o u r n o t oligopolist is e q u a l to the following: d „cd s 1i = Q i - q f W i t h q f representing the r e s i d u a l d e m a n d that f i r m i faces after t a k i n g i n t o account the behavior of the (domestic) oligopolies a n d t h e foreign c o m p e t i t i o n ; q f denotes the r e s i d u a l d e m a n d f i r m i faces after t a k i n g i n t o account the oligopolistic behavior of the d o m e s t i c c o m p e t i t o r s ; q ) is the s u p p l y of the foreign firms. D i f f e r e n t i a t i n g b o t h sides w i t h respect to price, r e a r r a n g i n g , a n d u s i n g the e q u a t i o n 4 cd _ m £ Si{\- * a j y we get the f o l l o w i n g expression: d * , 1 = £ m S i ( l - a f ) + s a f ïSiil-af) e f is t h e r e s i d u a l d e m a n d elasticity t h a t faces the d o m e s t i c oligopolist firm, e is the market elasticity of d e m a n d , S i is the share of f i r m i i n d o m e s t i c p r o d u c t i o n , a is the share of the foreign firms i n t h e m f 4 This is a standard residual demand model of a Cournot competitor with fixed foreign imports. DETERMINANTS O F INDUSTRY MARGINS 181 domestic m a r k e t , e is the s u p p l y e l a s t i c i t y of i m p o r t s . G i v e n t h a t the L e r n e r i n d e x of a f i r m is e q u a l to t h e inverse of its r e s i d u a l e l a s t i c i t y of d e m a n d , the L e r n e r i n d e x of a d o m e s t i c o l i g o p o l y t h a t faces foreign c o m p e t i t i o n t h r o u g h c o m p e t i t i v e i m p o r t s is given by: a f P - C _ Sj(l P ~ e m + g ) f ctf£ s f A s t h e l i t e r a t u r e t r a d i t i o n a l l y proceeds we c a n weight the L e r n e r index b y the share of f i r m i , a d d i n g over a l l firms a n d a s s u m i n g l i n earity i n m a r g i n a l cost for each f i r m . W e o b t a i n the f o l l o w i n g : r = l r l H l (o) a s L is the weighted (by shares) L e r n e r index. If there is no e l a s t i c i t y of s u p p l y of foreign i m p o r t s , e j = 0, t h e n the f o r m u l a states t h a t the i m p a c t of i m p o r t s is j u s t a n a d j u s t m e n t of the H e r f i n d a h l i n d e x . T h e e s t i m a t i n g equations are influenced b y the last e q u a t i o n . A c c o r d i n g to t h i s , c o n c e n t r a t i o n has a positive i m p a c t o n t h e average L e r n e r index a n d the i m p o r t s to m a r k e t r a t i o affects the average L e r n e r i n d e x negatively. T h e paper estimates a m o d e l i n w h i c h the price cost m a r g i n ( P C M = L e r n e r Index) is m a d e a f u n c t i o n of several variables, a m o n g t h e m , t h e C 4 c o n c e n t r a t i o n i n d e x , t h e i m p o r t p e n e t r a t i o n r a t i o (usua l l y defined as M / V A , i m p o r t s over value added) a n d the c a p i t a l o u t p u t r a t i o . T h e first two variables are suggested by e c o n o m i c p r i n ciples as i l l u s t r a t e d i n e q u a t i o n (0). T h e t h i r d is used to c o n t r o l for technological heterogeneity a m o n g i n d u s t r i e s . W e also investigate the c y c l i c a l properties of the m a r k u p . W e use four digit d a t a for the M e x i c a n m a n u f a c t u r i n g sector o b t a i n e d f r o m the E n c u e s t a i n d u s t r i a l p u b l i s h e d by INEGI. T h e d a t a runs from 1975 to 1998. W e w i l l be e s t i m a t i n g regression equations of the following sort: 5 6 We use the four firm concentration ratio as there is no information for the Herfindahl index. However, there is evidence that both indexes are highly correlated (Nelson, 1963). The four firm concentration ratio corresponds in this case to the sales of the largest four plants in the industry over total sales of the industry. The information that Instituto Nacional de Estadística Geografía e Informática, INEGI, gathers is at the plant level, which is the reason for calculating this index. 5 6 We should expect a positive relation between the capital-output ratio and the markup. 182 ESTUDIOS ECONÓMICOS P C M = f{CA,M*,K/Q) (1) W h e r e C A corresponds to t h e C A c o n c e n t r a t i o n r a t i o , M * c o r r e sponds t o t h e i m p o r t p e n e t r a t i o n r a t i o a n d K / Q refers to t h e c a p i t a l / o u t p u t r a t i o . T h e i n c l u s i o n of C A corresponds t o t h e i n t u i t i o n t h a t h i g h l y c o n c e n t r a t e d i n d u s t r i e s m a y have a larger price cost m a r g i n . Besides t h e e x p l a n a t i o n advanced i n e q u a t i o n (0), t r a d i t i o n a l folk theorems i n the repeated game l i t e r a t u r e c o u l d be consistent w i t h t h i s p r e d i c t i o n . M * , w h i c h corresponds to t h e i m p o r t p e n e t r a t i o n r a t i o , is u s u a l l y a reflection of t h e degree of p r o t e c t i o n of the economy. A s i n d i c a t e d i n (0), a r e d u c t i o n o f p r o t e c t i o n i n t h e economy has a n i m p a c t o n the c o m p e t i t i v e regime o f the i n d u s t r y , c h a n g i n g the L e r n e r i n d e x of domestic firms s e t ' F i n a l l y , K / Q is t h e degree o f c a p i t a l i n t e n s i t y i n t h e i n d u s t r y . W e s h o u l d expect t h e price cost m a r g i n t o v a r y across industries i n accordance w i t h t h e degree of c a p i t a l i n t e n sity T h e a i m of i n c l u d i n g t h i s v a r i a b l e is t o pick u p t e c h n o l o g i c a l h e t e r o g e n e i t y . These e x p l a n a t o r y variables are later c o m b i n e d w i t h c y c l i c a l variables t h a t i n t e r a c t w i t h t h e m to a n a l y z e t h e behavior o f price cost m a r g i n s . If t h e i n t e r a c t i o n o f t h e c y c l i c a l variables w i t h our s t a n d a r d variables appears t o be s t a t i s t i c a l l y significant, i t w i l l i m p l y t h a t cross-section studies do not reflect accurately t h e i m p a c t of these e x p l a n a t o r y variables o n price cost m a r g i n s . D e p e n d i n g u p o n the year of c o m p a r i s o n , g o o d o r b a d , we m a y get a different i m p a c t o f 7 8 10 The paper follows the literature assuming that the concentration ratio is not endogenous. See Domowitz, Hubbard and Petersen (1986 a, b). Furthermore, we tested for endogeneity of the concentration index and found no evidence of it. T h e instruments used are lagged values of concentration measures and lagged values of the capital-output variable. See footnote 10. 7 This variable is measured in several ways by the literature: it could be equal to the ratio of imports to total sales or to the ratio of imports to value added. In some cases the variable corresponds to the ratio of the trade balance with respect to total sales or value added. The import penetration rate is modeled as exogenous, because hausman tests do not reject the hypothesis of no-endogeneity. Domowitz, Hubbard, and Petersen (1986 b); and Pugel (1980) report O L S results. Grether (1996) also reports the O L S results for the Mexican case. 8 9 A change in protection, for example a reduction in quotas, changes the elasticity of supply of foreign firms. To test for robustness we estimated the model with the inclusion of a labor productivity variable. The inclusion of this variable did not change most of the results of the paper. We decided to exclude the variable given that there is no a priori theoretical justification to include it. 1 0 D E T E R M I N A N T S O F INDUSTRY MARGINS 183 the four f i r m c o n c e n t r a t i o n r a t i o , the c a p i t a l i n t e n s i t y v a r i a b l e a n d the i m p o r t - p e n e t r a t i o n r a t i o o n price cost m a r g i n . T h e sole use of cross section studies m a y give us a b a d measurement of i n d u s t r y variables o n price setting behavior. T h u s , to account for c y c l i c a l interactions we estimate the f o l l o w i n g s y s t e m : = /(C4, M / T S , K / Q , C A * D , M / T S * D , K / Q * D ) P C M (2) w i t h D reflecting t h e c y c l i c a l v a r i a b l e . T h e P C M v a r i a b l e was c a l c u l a t e d , u s i n g s t a n d a r d formulas P C M = T O T A L S A L E S - W A G E S - I N T E R M E D I A T E INPUTS (3) T h e r e are several arguments t h a t h i g h l i g h t t h e biases inherent i n these measurements; however we are m o s t l y interested i n v i e w i n g the v a r i a b i l i t y of these m a r g i n s across t i m e , rather t h a n their v a r i a b i l i t y across i n d u s t r i e s . R e g a r d i n g the c o n c e n t r a t i o n index, we o n l y have observations for the f o l l o w i n g years: 1970, 1975, 1980, 1985, 1988, 1993, a n d 1999. For the r e m a i n i n g years we used i n t e r p o l a t i o n techniques, basically p o l y n o m i a l i n t e r p o l a t i o n (splines) to get the other observations. W e use the four f i r m c o n c e n t r a t i o n r a t i o as it is the o n l y index a v a i l a b l e . W e r u n regressions for t h e w h o l e m a n u f a c t u r i n g sectors for the durables i n d u s t r i e s pooled together a n d for n o n - d u r a b l e s ; a l l regressions are r u n w i t h fixed effects. 11 12 3. Results In table 1 we show the c o n c e n t r a t i o n index d i v i d e d by q u i n t i l e a n d the c o r r e s p o n d i n g price cost m a r g i n . T h e c a l c u l a t i o n is m a d e for each year f r o m 1980-1998. W e have 63 industries i n c l u d e d i n the sample. See t h e a p p e n d i x for details. For a l l years, there is a positive c o r r e l a t i o n between the i n d e x of c o n c e n t r a t i o n a n d the m a r k u p . F o r several years there are cases i n w h i c h c o n c e n t r a t i o n increases are not a c c o m p a n i e d w i t h c o r r e s p o n d ing increases i n the price cost m a r g i n . A l t h o u g h for some theories, 1 1 The price cost margin is equal to the Lerner index if variable cost is an appropriate surrogate for marginal costs. The index is obtained from INEGI, the index is calculated based only upon domestic sales. Thus it is perfectly consistent with the theoretical model developed above in which the foreign sector is modeled as perfectly competitive. 1 2 ESTUDIOS ECONÓMICOS 184 o o 1 — I VI o 00 o 00 Tjl VI w I e5 o 0) s 3 o* tí o VI. ^ • O • VI o £5 O 3 D E T E R M I N A N T S O F INDUSTRY MARGINS 185 there is a c o r r e l a t i o n between the c o n c e n t r a t i o n m a r g i n a n d i n d u s t r y p r o f i t a b i l i t y , there are some other variables t h a t affect this l a t t e r v a r i a b l e . Besides, the p o t e n t i a l i m p a c t of c o n c e n t r a t i o n , price cost m a r g i n s s h o u l d d e p e n d o n other variables such as the openness of t h e i n d u s t r y a n d the i m p a c t of c a p i t a l intensity. W h e n c o n s i d e r i n g a l l these p o t e n t i a l effects we w i l l see later i n t h e regression results t h a t c o n c e n t r a t i o n does affect t h e m a r k u p positively. Before going i n t o the results we present i n g r a p h 1 the measure of price c o s t - m a r g i n o b t a i n e d f r o m the d a t a for the whole m a n u f a c t u r i n g sector by using the f o r m u l a stated i n e q u a t i o n (3), a n d the same measurement w i t h t h e use of the H a l l a p p r o a c h (1988) to the e s t i m a t i o n of p r i c e - m a r k u p s . Briefly, t h e H a l l a p p r o a c h suggests the i m p l e m e n t a t i o n of i n s t r u m e n t a l variables i n t o Solow e q u a t i o n (Solow, 1957). T h e rate of g r o w t h of the l a b o r - c a p i t a l r a t i o is p r o j e c t e d o n t h e space spanned b y p r o - c y c l i c a l i n s t r u m e n t s . T h e i d e n t i f i c a t i o n ass u m p t i o n states t h a t the Solow r e s i d u a l i n levels follows a r a n d o m w a l k w i t h drift. B y p r o j e c t i n g the rate of g r o w t h of the l a b o r - c a p i t a l r a t i o i n the space s p a n n e d b y the i n s t r u m e n t s , H a l l finds the estim a t e d coefficient (the level of market power) t h a t makes the Solow residual o r t h o g o n a l to business cycle f l u c t u a t i o n s . However, due to the c r i t i c i s m s of N e l s o n a n d S t a r z (1988), t h e l i t e r a t u r e has also m a d e use of estimates w i t h t r a d i t i o n a l OLS techniques. G r a p h 1 was m a d e b y r u n n i n g H a l l ' s e q u a t i o n w i t h a n OLS technique i n the cross section of industries i n c l u d e d for this study. So, we have one estimate for the m a r k u p for each year for t h e whole m a n u f a c t u r i n g sector. T h e P C M was c a l c u l a t e d as stated i n e q u a t i o n (3) by a d d i n g each i n d i v i d u a l piece of d a t a needed, across the whole m a n u f a c t u r i n g sector. 13 G r a p h 1 shows a s i m i l a r t r e n d of the P C M c a l c u l a t e d a c c o r d i n g to H a l l a n d the P C M from e q u a t i o n (3). 3.1. E q u a t i o n 1 R e s u l t s F i r s t , we e s t i m a t e e q u a t i o n (1) under the a s s u m p t i o n of l i n e a r i t y i n t h e f u n c t i o n a l f o r m (linear i n parameters). T h e results are shown for the p e r i o d 1980-1998 a n d t h e n by sub-periods, 1980-1985 a n d 1986-1998. I n t a b l e 2 we show the estimates for e q u a t i o n (1). W e pooled together a l l industries to o b t a i n a n estimate for the whole m a n u f a c t u r i n g sector. T o c o n t r o l for i n d u s t r y specific factors, we 1 3 As illustrated in equation (0), under Cournot competition the sum of the firms profits is proportional to the Herfindahl concentration index. 186 ESTUDIOS ECONÓMICOS e s t i m a t e a fixed effects m o d e l . S t a n d a r d errors are i n parenthesis. I n t h i s t a b l e , the v a r i a b l e M * is defined as the r a t i o of i m p o r t s t o value a d d e d . A s s h o w n i n t h e table 2, the coefficients o n K / Q a n d C 4 are h i g h l y significant, a n d the result o n M * also yields a h i g h l y significant estimate. 1 4 Graph 1 Year W e c a n see i n the results f r o m table 2 t h a t the r a t i o of i m p o r t s to value a d d e d becomes significant i n the p e r i o d i n w h i c h M e x i c o changes its t r a d e regime to i m p l e m e n t a l i b e r a l i z a t i o n process. A s m e n t i o n e d previously, i n 1985, the average tariff was 23.5 percent a n d 92.2 percent of n a t i o n a l p r o d u c t i o n was protected by i m p o r t license The fixed effect method allows us to control for industry specific characteristics, thus allowing us to avoid potential biases in the estimation that might occur if we were to follow a pure OLS approach. Random effects estimates do not differ substantially in most of the results of this paper. Given that we are more concerned about the potential omission of industry specific variables, and that fixed effects are robust to this omission we would rather stay with fixed effects. 1 4 D E T E R M I N A N T S O F INDUSTRY MARGINS 187 requirements. B y t h e e n d of 1987, the average tariff was r e d u c e d to 11.8 percent a n d t h e i m p o r t license requirements covered o n l y 25.4 percent of n a t i o n a l p r o d u c t i o n w i t h a m a x i m u m rate of 20 percent. T h e sign of the coefficient for the i m p o r t p e n e t r a t i o n r a t i o , M * , is negative, s h o w i n g t h a t i m p o r t c o m p e t i t i o n d i m i n i s h e s domestic p r i c e m a r g i n s . T h e coefficient o n K / Q is p o s i t i v e for the whole p e r i o d and for the s u b - p e r i o d 1986-1998. W e s h o u l d expect t h a t c a p i t a l intensive industries experience larger m a r k u p due to the sunkness of the investment a n d the need to recover fixed costs. T h e l i t e r a t u r e has found t h i s coefficient to be p o s i t i v e ( C o l l i n s a n d P r e s t o n , 1969; a n d D o m o w i t z , H u b b a r d , a n d P e t e r s o n , 1986a). Table 2 Pooled Regressions - Standard Measure of Import C4 K/Q M * Whole Manufacturing Penetration ADJ.R2 Sector 1980-1998 0.07* (0.03) 0.0037 (0.02) -0.42* (0.12) 0.52 1980-1985 0.45* (0.10) 0.162* (0.04) -0.07** (0.04) -0.12 0.57 (0.26) 0.072** (0.04) -0.543* (0.14) 1986-1998 M * 0.68 * S i g n i f i c a n t at 5% * * S i g n i f i c a n t at 1 0 % is c a l c u l a t e d as the r a t i o of i m p o r t s to value added. W h e n we pass f r o m the 1980-1985 p e r i o d ( p r e - l i b e r a l i z a t i o n per i o d ) , to t h e p o s t - l i b e r a l i z a t i o n p e r i o d (1986-1998), we see a significant r e d u c t i o n i n the i m p a c t of t h e c o n c e n t r a t i o n i n d e x o n t h e pricecost m a r g i n . A s the economy became more open, the p r o - c o m p e t i t i v e i m p a c t of i m p o r t s reduced the i m p a c t of c o n c e n t r a t i o n o n price-cost m a r g i n s . W e s h o u l d expect this behavior from s t a n d a r d o l i g o p o l y models. A l t h o u g h domestic c o n c e n t r a t i o n persists, the c o m p e t i t i o n of i m p o r t s makes more elastic the r e s i d u a l d e m a n d faced b y each f i r m , thereby generating a lower price-cost m a r g i n for a given level of concentration 1 5 See Geroski and Jacquemin (1981) and equation (0). 188 ESTUDIOS ECONÓMICOS W e r a n specification tests to test for the endogeneity of M * . T h e results show t h a t i m p o r t s are not endogenous w h e n we used as i n s t r u m e n t s two lagged values of the i m p o r t p e n e t r a t i o n r a t e a n d two lagged observations of t h e c a p i t a l - o u t p u t r a t i o . F o r 1980-1985, the test does not reject the hypothesis of no endogeneity. A s i m i l a r o u t c o m e o c c u r r e d f r o m t h e 1986-1998 p e r i o d . F o r 1986-1998, t h e test d i d not reject the hypothesis of no e n d o g e n e i t y . For c o n c e n t r a t i o n we followed a s i m i l a r procedure. T h e tests for the p e r i o d 1980-1985 a n d t h e p e r i o d 1986-1998 do not reject t h e h y pothesis of no e n d o g e n e i t y . W e used as i n s t r u m e n t s t h e two lagged values of c o n c e n t r a t i o n a n d the two lagged values of the c a p i t a l o u t put r a t i o . F o r b o t h M * a n d the c o n c e n t r a t i o n index, the i n s t r u m e n t s used are w e l l c o r r e l a t e d w i t h the e x p l a n a t o r y variables. In t a b l e 3 we i n c l u d e a n a l t e r n a t i v e measure of i m p o r t p e n e t r a t i o n : i n s t e a d of l o o k i n g at the r a t i o of i m p o r t s to value-added, we l o o k at t h e r a t i o of i m p o r t s to t o t a l sales. A s before, we s h o u l d expect t h a t more open i n d u s t r i e s have reduced price-cost m a r g i n s . 1 6 17 18 Table 3 Pooled Regressions - A n Alternative Measure ofImport Penetration M / T S C4 K/Q Whole Manufacturing Sector 1980-1998 1980-1985 1986-1998 ADJ.R2 0.06** (0.03) -0.039** (0.02) -3.49* (0.09) 0.52 0.42* -0.089* (0.03) -15.7* (4.64) 0.58 (0.09) 0.158* (0.04) 0.06 (0.04) -5.45* (0.94) 0.69 *Significant at 5% **Significant at 1 0 % T h e e x t e r n a l c o m p e t i t i o n v a r i a b l e affects negatively a n d signifi c a n t l y the price-cost m a r g i n s of the m a n u f a c t u r i n g sector for t h e i b See the tables in appendix 2. 1 7 Domowitz, Hubbard, and Petersen (1986 b), were aware of potential endo- geneity of this variable. However, they reported the O L S results. 1 8 See appendix 2 for the results. D E T E R M I N A N T S O F INDUSTRY MARGINS 189 three periods s t u d i e d , i n c l u d i n g t h e 1980-1985 p e r i o d . T h i s last result is different f r o m the previous table. I n table 3, the C A i n d e x is significant for a l l periods considered. I n contrast w i t h the previous t a ble, the sign of the coefficient for the c a p i t a l - o u t p u t r a t i o is negative and significant for the w h o l e p e r i o d , a s u r p r i s i n g result. However, t h e last p e r i o d (after l i b e r a l i z a t i o n ) shows a p o s i t i v e coefficient for t h i s v a r i a b l e ( a l t h o u g h non-significant). A s before, the concentrat i o n coefficient is lower for the p o s t - l i b e r a l i z a t i o n p e r i o d , showing the d i s c i p l i n i n g i m p a c t of i m p o r t s . 3.2. E q u a t i o n 2 R e s u l t s ( C y c l i c a l Effects) W e i n c l u d e p r o - c y c l i c a l variables to account for t h e p o s s i b i l i t y of v a r i ations i n the m a r k u p across the business cycle. W e i n c l u d e d the m e a surement of u n e m p l o y m e n t as defined i n INEGI. T h e basic e q u a t i o n to be e s t i m a t e d is the one defined i n (2) above. T h e v a r i a b l e D i n t h a t e q u a t i o n is the u n e m p l o y m e n t rate as defined i n INEGI ( U i n table 4). T h e results are reported i n table 4. Table 4 Pooled Regressions with the I n c l u s i o n of A n t i - c y c l i c a l Variables ( U n e m p l o y m e n t ) 1980-1998 1980-1985 1986-1998 M -0.385* 0.120 -0.116 0.275 -0.459* 0.144 U M -0.051* 0.019 -0.052* 0.025 -0.095* 0.032 K -0.035 0.059 -0.09 0.074 0.004 0.074 U K 0.0058 0.009 0.002 0.011 0.013 0.012 CA 0.045 0.042 0.333* 0.116 0.145* 0.047 UCA 0.0056 0.006 0.019* 0.01 0.007 0.006 ADJ.R2 0.52 0.58 0.68 * S i g n i f i c a n t at 5% ^ S i g n i f i c a n t at 1 0 % 190 ESTUDIOS ECONÓMICOS T h e i n c l u s i o n of a n t i - c y c l i c a l variables i n the regression does a p pear to have a significant i m p a c t on t h e behavior of the price-cost m a r g i n s . F o r the p e r i o d 1986-1998, the coefficient o n C 4 s t i l l has a significant i m p a c t o n the price-cost m a r g i n a n d the a n t i - c y c l i c a l v a r i able U , i n t e r a c t e d w i t h C 4 does not appear s t a t i s t i c a l l y significant. H o w e v e r , the c y c l i c a l v a r i a b l e does affect the i m p o r t - p e n e t r a t i o n r a t e . W h e n e v e r there is a recession i n the economy (the u n e m p l o y m e n t rate is high) the d i s c i p l i n i n g i m p a c t of i m p o r t s is increased. T h u s , industries w i t h a great i m p o r t - p e n e t r a t i o n r a t i o experience a stronger c o m p e t i t i v e i m p a c t f r o m i m p o r t s whenever there is a recession i n t h e economy. T h i s fact is also observed for the whole p e r i o d (1980-1998). A s t h e i m p o r t - p e n e t r a t i o n rate increases, the price-cost m a r g i n becomes more p r o - c y c l i c a l . Business cycles appear to affect the i m p a c t of c o n c e n t r a t i o n for the 1980-1985 p e r i o d . A s the economy went i n t o a recession, the i m p a c t of c o n c e n t r a t i o n o n the price-cost m a r g i n i n creased. M o r e c o n c e n t r a t e d industries t e n d to have a larger price-cost m a r g i n i n the d o w n t u r n s . F o r this p e r i o d of t i m e , more c o n c e n t r a t e d industries lead to m o r e a n t i - c y c l i c a l behavior o n the p a r t of p r i c e cost m a r g i n s . T h i s fact is consistent w i t h the p e r i o d of observation i n w h i c h the relative closedness of the M e x i c a n economy isolated c o n centrated industries from c o m p e t i t i o n . T h e i n c l u s i o n of the u n e m p l o y m e n t rate as a single regressor d i d not render a significant 1 9 W e also considered the p o t e n t i a l i m p a c t of business cycles b y i n c l u d i n g a d u m m y v a r i a b l e t h a t has the value of one whenever t h e e c o n o m y is g r o w i n g a n d a zero value if the economy is e x p e r i e n c i n g a recession ( D i n table 5). W e report the results i n table 5. Table 5 Pooled Regressions with the Inclusion of Pro-Cyclical Variables ( D u m m y ) M 1980-1998 1980-1985 1986-1998 -0.628* 0.186 -0.119 0.296 -0.95* 0.33 The result that shows that concentration afreets in an anti-cyclical way the price-cost margins is not robust to a change in the definition of the cyclical variable. In the following table, we will incorporate another measure that gives us a different prediction. A possible explanation for the divergence in predictions might come from the fact that the unemployment rate in Mexico is not too responsive to cyclical fluctuations (due to the absence of unemployment insurance). l y D E T E R M I N A N T S O F INDUSTRY MARGINS 191 Table 5 (continued) 1980-1998 1980-1985 1986-1998 D M 0.29 0.19 -0.09 0.271 0.46 0.30 K 0.025 0.0298 -0.07 0.05 0.08** 0.04 D K -0.018 0.025 -0.01 -0.027 0.036 CA 0.086* 0.036 0.028 0.421* 0.104 DCA -0.019 0.016 0.041* 0.02 -0.076* 0.02 ADJ.R2 0.52 0.57 0.69 *Significant at 5% 0.22* 0.044 * * S i g n i f i c a n t at 10% A s we observe i n the last table, o n l y the d u m m y t h a t m u l t i p l i e s the c o n c e n t r a t i o n i n d e x appears significant. T h i s happens o n l y for the 1980-1985 p e r i o d a n d for the 1986-1998 p e r i o d . F o r the 1980¬ 1985 s u b - p e r i o d , we see t h a t as the economy goes into a recession, t h e i m p a c t of c o n c e n t r a t i o n o n price cost m a r g i n s decreases, w h i l e the opposite occurs i n a b o o m . F o r the 1986-1998 p e r i o d , the opposite occurs, as the economy goes into a recession, the i m p a c t of concent r a t i o n o n price cost m a r g i n is increased a n d the i m p a c t is reduced i n a b o o m . W e notice also t h a t for the 1986-1998 p e r i o d , the coefficient of M a n d K are significant a n d have the expected signs. However, there is no apparent significant i m p a c t of the p r o - c y c l i c a l v a r i a b l e for these variables. B o o m s a n d recessions do not appear to generate a different i m p a c t f r o m these variables w h e n we measure the change of regime w i t h t h e d u m m y . T h e change i n the i m p a c t of c o n c e n t r a t i o n across b o o m s a n d recessions (for the 1986-1998 period) is consistent w i t h the story a b o u t price wars i n b o o m s a n d collusive agreement i n recessions (See R o t e m b e r g a n d Saloner, 1986: H a l t i w a n g e r a n d H a r r i n g t o n , 1991; a n d A t h e y , B a g w e l l , a n d S a n c h i r i c o , 20 0 2 ) . A s the 2 0 Haltiwanger and Harrington modify the Rotemberg and Saloner model to allow for models in which the current demand generates expectations about future M 192 ESTUDIOS ECONÓMICOS e c o n o m y moves i n t o a b o o m , the i m p a c t of c o n c e n t r a t i o n on price-cost m a r g i n s is d i m i n i s h e d , because firms ( r a t i o n a l l y ) s u s t a i n less c o l l u s i v e agreements to a v o i d defections a n d the opposite occurs i n a recession. A c o m p a r i s o n between t a b l e 4 a n d 5 show t h a t , regardless o f the i n t e r a c t i n g v a r i a b l e , we have almost the same inferences f o u n d before i n t a b l e 2. T h e signs of the coefficients for M , C 4 a n d K are s i m i l a r between t h e m a n d w i t h those s h o w n i n t a b l e 2 . Also, the significance of t h e i m p a c t of the v a r i a b l e (the coefficient of C 4 , K a n d M ) is not affected by the i n c l u s i o n of the a d d i t i o n a l v a r i ables (the i n t e r a c t e d t e r m s , C 4 * U , K * U , U * M i n t h e first regression and C 4 * D , K * D , M * D i n the second). T h i s is a n i n d i c a t i o n of t h e robustness of t h e r e s u l t s . 2 1 2 2 T h i s inference related to the i m p a c t of the business cycle e n hances t h e a p p r o a c h used i n this paper. T h e p o o l i n g of cross section and t i m e series allows us to s t u d y the i m p a c t of the business c y cle o n the e s t i m a t e d coefficients. T h e s i m p l e cross-section a p p r o a c h c a n n o t account for these v a r i a t i o n s ; t h u s , estimates o b t a i n e d w i t h cross-section studies - s i m i l a r to those used i n t r a d i t i o n a l i n d u s t r i a l o r g a n i z a t i o n approaches- w i l l v a r y d e p e n d i n g u p o n o u r year of choice (good or b a d ) . 2 3 3.3. A n a l y s i s b y Type o f Good N e x t , we s t u d y the i m p a c t of these variables by d i v i d i n g by t y p e o f g o o d - d u r a b l e s a n d n o n - d u r a b l e s - . T a b l e 6 reports the results for these categories. The t a b l e shows t h a t c o n c e n t r a t i o n i m p a c t s the price cost m a r gins of d u r a b l e goods for a l l periods considered. F o r n o n - d u r a b l e goods, t h i s occurs o n l y for t h e 1980-1985 p e r i o d . T h e s e results are demand. They sions. However show that even counter-cyclical Rotemberg and 2 1 also find out that collusion is difficult to sustain during expanthey modify slightly the Rotemberg and Saloner conclusion to during recessions collusion is difficult to sustain. They also find pricing. Athey, Bagwell, and Sanchirico found similar results to Saloner in an imperfect information environment. When we talk about the signs we talk about the value of the coefficients in a recession and in a b o o m ^ l he value given by the interacting coefficients change the sign ot the coefficient oi M , K and O 4 when added to them. Here we refer to robustness with regard to a change in the specification of ^ e q u a t i o n by the addition of cyclical variables. See Domowitz, Hubbard, and Petersen (1986 a, b). D E T E R M I N A N T S O F INDUSTRY MARGINS 193 consistent w i t h those f o u n d i n studies of other countries. I n a s t u d y for t h e US, D o m o w i t z , H u b b a r d , a n d P e t e r s e n (1988) f o u n d also t h a t c o n c e n t r a t i o n does not a p p e a r t o i m p a c t t h e price cost m a r g i n s of n o n - d u r a b l e goods. I m p o r t s have a significant i m p a c t for b o t h types of goods for t h e p e r i o d after t r a d e l i b e r a l i z a t i o n (1986-1998) a n d , i n b o t h cases, i m p o r t s reduce t h e price-cost m a r g i n s of d o m e s t i c i n dustries. T h e c a p i t a l - o u t p u t r a t i o affects significantly t h e p r i c e cost m a r g i n s of n o n - d u r a b l e s for t h e after t r a d e l i b e r a l i z a t i o n p e r i o d . F o r this p e r i o d a n d for d u r a b l e goods, there is no significant i m p a c t of the c a p i t a l - o u t p u t r a t i o . However, t h i s v a r i a b l e affects i n a significant m a n n e r a n d negatively, t h e price-cost m a r g i n s of d u r a b l e s for the whole p e r i o d . Table 6 P o o l e d R e g r e s s i o n s b y e Type o f G o o d (Durables and Non-durables) C4 K / Q Durables M * ADJ.R2 -0.184 0.56 0.118* (0.04) -0.096* (0.04) (0.156) 1980-1985 0.29* (0.15) -0.27* (0.09) 0.783** (0.47) 0.52 1986-1998 0.299* (0.06) -0.39 (0.3) -0.46* (0.173) 0.69 1980-1998 0.04 -0.29 0.44 1980-1998 Non-Durables 1980-1985 1986-1998 M * (0.05) 0.05 (0.03) 0.55* (0.14) -1.1 (1.74) 0.62 (0.05) 0.05 (0.06) 0.09* (0.04) -0.49** (0.28) 0.64 -0.02 (0.31) *Significant at 5% * * S i g n i f i c a n t at 1 0 % is c a l c u l a t e d as t h e r a t i o of i m p o r t s to value added. T h e v a r i a t i o n of the sign of t h e c a p i t a l - o u t p u t r a t i o i n t h e different regressions a n a l y z e d so far demands a n i n t u i t i v e e x p l a n a t i o n . O n e p o t e n t i a l e x p l a n a t i o n is related w i t h t h e sunkness of the stocks 194 ESTUDIOS ECONÓMICOS of c a p i t a l a n d the different periods of crisis a n d expansions observed t h r o u g h o u t this p e r i o d of analysis coupled w i t h l i b e r a l i z a t i o n . O n e s h o u l d expect t h a t i n n o r m a l times the c a p i t a l - o u t p u t r a t i o s h o u l d be p o s i t i v e l y r e l a t e d to price cost m a r g i n s ; however, i n times of recession, t h e c a p i t a l is sometimes s u n k a n d the price cost m a r g i n s m a y be affected b y other v a r i a b l e s , thus affecting the p o s i t i v e r e l a t i o n between the two. E c o n o m i c t h e o r y suggests t h a t w h e n c a p i t a l is s u n k , firms w i l l s t i l l operate even if t h e y cannot recover the s u n k costs. W e s h o u l d p o i n t out also t h a t , for almost a l l tables s h o w n , this v a r i a b l e is p o s i t i v e for the after-trade l i b e r a l i z a t i o n p e r i o d . W e also a n a l y z e t h e p o t e n t i a l c y c l i c a l behavior of the coefficients for these two types of goods. Table 7 Pooled Regressions: Non-durable Goods, Controlling f o r Cyclical Effects 1980-1998 1980-1985 1986-1998 M -3.34* 1.64 -6.45* 2.93 -3.42* 1.57 D M 3.156** 1.62 6.41* 2.899 3.04* 1.54 K 0.05 0.03 -0.012 0.053 0.08** 0.047 D K -0.01 0.028 -0.016 0.029 -0.007 0.036 CA 0.086 0.054 0.513* 0.14 0.159* 0.064 DCA -0.068* 0.028 -0.006 0.034 -0.129* 0.031 ADJ.R2 0.45 0.62 0.65 *Significant at 5% * * S i g n i f i c a n t at 1 0 % F o r the case of non-durables, these coefficients are affected b y business cycles. F o r a l l three periods considered, the d i s c i p l i n i n g i m pact of i m p o r t s is considerably less i m p o r t a n t i n periods of economic g r o w t h . I n fact, the i m p a c t of i m p o r t s for a l l three periods considered DETERMINANTS O F INDUSTRY MARGINS 195 vanishes ( s t a t i s t i c a l l y ) i n a b o o m . A l s o , for these types of goods, the coefficients of M , CA a n d K for the a f t e r - l i b e r a l i z a t i o n p e r i o d have t h e expected sign, a n d the coefficient of C A has become significant w h e n we i n c l u d e the c y c l i c a l variables ( D M , D C A a n d D K ) . T h i s result together w i t h the significance of D M a n d D C , suggests t h a t the way our e x p l a n a t o r y variables i m p a c t the price cost m a r g i n of n o n - d u r a b l e s is affected by c y c l i c a l f l u c t u a t i o n s d u r i n g t h i s p e r i o d (1986-1998). W e also notice, for the a f t e r - l i b e r a l i z a t i o n p e r i o d a n d for these goods, t h a t t h e i m p a c t of c o n c e n t r a t i o n d i m i n i s h e s as we pass f r o m a recession to a n e x p a n s i o n . T h i s evidence is consistent w i t h price w a r s i n b o o m s . D u r i n g expansions, the gains f r o m d e v i a t i n g are larger; t h u s , c o n c e n t r a t e d i n d u s t r i e s have a lower i m p a c t o n the level of c o l l u s i o n . F i r m s s u s t a i n a lower level of c o l l u s i o n to prevent t h e appearance of defectors (see R o t e m b e r g a n d Saloner, 1986, a n d A t h e y , B a g w e l l , a n d S a n c h i r i c o , 2002, for e n v i r o n m e n t s w i t h i m p e r fect i n f o r m a t i o n ) . 2 4 Table 8 Pooled Regressions: Durable Goods, Controlling f o r Cyclical Effects 1980-1998 1980-1985 1986-1998 M 0.34 0.348 2.58* 0.72 -0.74* 0.378 D M -0.54 -1.87* 0.33 0.83 0.31 0.35 K -0.198* 0.076 -0.61* 0.14 -0.158 0.48 D K 0.075 0.12 0.26 0.30 -0.28 0.45 CA 0.11* 0.049 0.27** 0.147 0.33* 0.06 D C A 0.017 0.02 0.07* 0.027 -0.04 0.56 0.70 ADJ.R2 0.56 *Significant at 5% 0.03 * * S i g n i f i c a n t at 1 0 % ^ We calculated the standard deviation of the sum of the non-interacted coefficient and the interacted coefficient, and in all cases the sum is not significant in periods of economic growth. 196 ESTUDIOS ECONÓMICOS F o r the case of durables, we do not see a significant i m p a c t of M a n d D M for the whole p e r i o d (1980-1998). F o r the after l i b e r a l i z a t i o n p e r i o d , none of our e x p l a n a t o r y variables appear to be affected b y business cycles. T h i s result, together w i t h our inference m e n t i o n e d before w i t h regard to the i m p a c t of the cycle o n n o n - d u r a b l e s , show t h a t i t was reasonable to split our analysis by these two types of goods. T h e reader m a y notice t h a t , for the after l i b e r a l i z a t i o n p e r i o d , the coefficients of M a n d C A r e m a i n significant after c o n t r o l l i n g for c y c l i c a l i m p a c t (the i n c l u s i o n of D M , D K a n d D C A ) . A c o m p a r i s o n between t a b l e 6 a n d 8 w i l l show t h a t , for a l l periods considered, t h e coefficient of C A r e m a i n s significant as a n e x p l a n a t o r y v a r i a b l e after c o n t r o l l i n g for p r o - c y c l i c a l behavior. 4. C o n c l u d i n g R e m a r k s T h i s paper l o o k e d for the d e t e r m i n a n t s of price-cost m a r g i n s . W e f o u n d evidence t h a t shows t h a t the p r o - c o m p e t i t i v e i m p a c t of i m p o r t s reduces the price-cost m a r g i n s . W e also f o u n d , consistent w i t h t r a d i t i o n a l models of oligopoly, t h a t the i m p a c t of c o n c e n t r a t i o n o n price cost-margins is lower as we pass f r o m the stage before the l i b e r a l i z a t i o n process to the stage after the l i b e r a l i z a t i o n process. T h i s evidence shows how c o m p e t i t i o n f r o m i n t e r n a t i o n a l p r o d u c t s changes the p r i c e setting b e h a v i o r of domestic firms. W i t h regard to the i m p a c t of the business cycle o n the behavior of price-cost m a r g i n s , we f o u n d t h a t , after the l i b e r a l i z a t i o n p e r i o d , t h e m a r g i n s are more a n t i - c y c l i c a l i n concentrated industries. T h e s t o r y is consistent w i t h that found i n models of price wars d u r i n g b o o m s ( R o t e m b e r g a n d Saloner, 1986; H a l t i w a n g e r a n d H a r r i n g t o n , 1991; a n d A t h e y , B a g w e l l , a n d S a n c h i r i c o , 2002). T h e signs a n d significance of t h e coefficients of our three m a i n e x p l a n a t o r y variables [ C A , K a n d M ) do not change w i t h the i n t r o d u c t i o n of the c y c l i c a l variables. S i m i l a r l y to results found i n other countries, we found t h a t c o n c e n t r a t i o n affects t h e price setting behavior of d u r a b l e goods. F o r t h e case of durables for the p e r i o d 1986-1998, the i n c l u s i o n of p r o - c y c l i c a l variables does not change our basic inferences. F o r non-durables, a n d for t h i s p e r i o d , we find inferences changing w i t h the i n c l u s i o n of p r o c y c l i c a l variables. A l s o , for non-durables, the behavior of c o n c e n t r a t i o n after the l i b e r a l i z a t i o n p e r i o d is consistent w i t h the story a b o u t price wars d u r i n g economic b o o m s . I n t h e agenda for research we find the p o s s i b i l i t y of e s t i m a t i n g t h e price-cost m a r g i n w h i l e m e a s u r i n g at the same t i m e the i m p a c t of D E T E R M I N A N T S OF INDUSTRY MARGINS 197 the v a r i a b l e s s t u d i e d . A possible line of research w o u l d be to e s t i m a t e the price-cost m a r g i n a l a H a l l (1988) w h i l e a l l o w i n g for t h e same variables used i n t h i s s t u d y to affect i t ( C 4 , M a n d K ) . References Athey, Bagwell, and Sanchirico (2002). C o l l u s i o n and P r i c e Rigidity, (mimeo). Bain, J . S. (1951). Relation of Profit Rate to Industry Concentration: American Manufacturing, 1936-1940, Quarterly Journal of E c o n o m i c s , 65, 293-324. Bresnahan, T . (1989). Empirical Studies of Industries with Market Power, in R. Schmalensee and R. D . Willig (eds.), Handbook of Industrial Organization, vol. II, North-Holland. Collins, N . R. and L . E . Preston (1969). Price Cost Margins and Industry Structure, R e v i e w of E c o n o m i c s and Statistics, 51, 271-286. Domowitz, I., R. G . Hubbard and B . C. Petersen (1988). Market Structure and Cyclical Fluctuations in U.S. Manufacturing, The R e v i e w of E c o n o m i c s and S t a t i s t i c s , 70, 55-66. (1986a). The Intertemporal Stability of the Concentration-Margins Relationship, The Journal of Industrial E c o n o m i c s , 35, 13-34. (1986b). Business Cycles and the Relationship between Concentration and Price-Cost Margins, Rand Journal of E c o n o m i c s , 17, 1-17. Geroski, P. A . and A . Jacquemin (1981). Imports as a Competitive Discipline, Recherches E c o n o m i q u e s de Louvain, 47, 197-208. Grether, J . M . (1996). Mexico, 1985-1990: Trade Liberalization, Market Structure, and Manufacturing Performance", in M . J . Roberts and J . R. T y bout (eds.), Industrial E v o l u t i o n i n Developing C o u n t r i e s , Oxford University Press. Green, E . and R. Porter (1984). Non-cooperative Collusion under Imperfect Price Information, E c o n o m e t r i c a , 52, 87-100. Haltiwanger J . and J . E . Harrington Jr. (1991). The Impact of Cyclical Demand Movements on Collusive Behavior, Rand Journal of E c o n o m i c s , 22, 89-106. Hall, R. E . (1988). The Relation between Price and Marginal Cost in US Industry, Journal of Political E c o n o m y , 96, 921-947. Jacquemin, A . (1982). Imperfect Market Structure and International Trade Some Recent Research, Kyklos, 35, 75-93. McGahan A . M . (1999). The Performance of US Corporations: 1981-1994, Journal of Industrial E c o n o m i c s , 47, 373-398. Nadiri, I. M . and R. Prucha (1996). Estimation of the Depreciation Rate of Physical and R & D Capital in the US Total Manufacturing Sector, E c o n o m i c Inquiry, 34, 43-56. 198 ESTUDIOS ECONÓMICOS Nelson, R. L . (1963). C o n c e n t r a t i o n in the Manufacturing Industries of the United States, Yale University Press. Nelson, C. R. and R. Startz (1988). S o m e Further Results o n the E x a c t S m a l l Sample Properties of the Instrumental Variable E s t i m a t o r , N B E R T W P no. 68. Pugel, T . A . (1980). Foreign Trade and US Market Performance, Journal of Industrial E c o n o m i c s , 29, 19-130. Rotemberg, J . and G . Saloner (1986). A Supergame-Theoretic Model of Price Wars during Booms, A m e r i c a n E c o n o m i c R e v i e w , 76, 390-407. Solow, R. (1957). Technical Change and the Aggregate Production Function, R e v i e w of E c o n o m i c s and Statistics, 39, 312-330. Tirole, J . (1988). The Theory of Industrial Organization, M I T Press. Appendix 1 The d a t a was o b t a i n e d f r o m t h e E n c u e s t a i n d u s t r i a l a n u a l f r o m 1980 to 1998. T h e d a t a set includes 205 i n d u s t r i a l classes. W e t o o k off several classes for t h e f o l l o w i n g reasons: W e needed classes t h a t h a d i n f o r m a t i o n o n c o n c e n t r a t i o n indexes, a n d we chose classes t h a t d i d not p r o d u c e miscellaneous goods. A l s o , we found t h e d a t a u n r e l i a b l e for classes 311404, 311501, 311405, 361203, 381404, 381412, 382101, 361201 y 361204. W e kept 63 classes t o r u n the regressions. The classes are t h e following: Class E I A 1994 Industrial Activity 311101 M e a t p a c k i n g , preservation a n d p r e p a r a t i o n 311201 Pasteurization and milk canning 311203 311301 Dry a n d condensed m i l k C a n n e d fruits a n d vegetables 312110 M a n u f a c t u r i n g of instant coffe 311701 M a n u f a c t u r i n g of oils, a n d b u t t e r s 312200 M a n u f a c t u r i n g of a n i m a l foods 311304 F i s h a n d shellfish p a c k i n g 311903 M a n u f a c t u r i n g of c h e w i n g g u m 312123 M a n u f a c t u r i n g of starch a n d leaven 313040 M a n u f a c t u r i n g of m a l t 313041 M a n u f a c t u r i n g of beer 314002 M a n u f a c t u r i n g of cigarettes D E T E R M I N A N T S O F INDUSTRY MARGINS (continued) Class E I A 1994 Industrial Activity Textiles 321202 Y a r n a n d t e x t i l e tissues of soft fibers (cotton, w o o l a n d s y n t h e t i c fibers) 321205 Y a r n a n d finishing of a r t i f i c i a l fiber 321207 F i n i s h e d of threads Wood 331102 M a n u f a c t u r i n g of w o o d Paper 341010 M a n u f a c t u r i n g of p a p e r 341022 M a n u f a c t u r i n g of c a r d b o a r d 341031 P a p e r a n d c a r d b o a r d containers 351300 C e l l u l o s e a n d s y n t h e t i c fibers Chemical 352100 Pharmaceuticals 352210 V a r n i s h a n d lacquer 352221 Perfumes a n d cosmetics 352222 Soap y detergents 351215 Other chemical 351222 Insecticides 352231 Adhesives 352240 M a n u f a c t u r i n g of other p r o d u c t s of r u b b e r 355001 M a n u f a c t u r i n g of tires Glass and cement 362011 F l a t glass a n d engraved glass 362013 G l a s s fiber a n d mosaics 362021 G l a s s containers a n d glass vials 362022 M a n u f a c t u r i n g of other glass p r o d u c t s 369111 M a n u f a c t u r i n g of h y d r a u l i c cement Another Mineral Products 361203 M a n u f a c t u r i n g of bricks a n d non-refractory bricks 371001 M a n u f a c t u r i n g of i r o n a n d steel 371006 M a n u f a c t u r i n g of i r o n pipes a n d posts Basic Metal 199 200 ESTUDIOS ECONÓMICOS (continued) Class E I A Industrial Activity 1994 372003 M e l t i n g of copper 372005 M e l t i n g of a l u m i n u m Metal 381300 Products M a n u f a c t u r i n g of m e t a l f u r n i t u r e 381401 M a n u f a c t u r i n g of tools 381404 M a n u f a c t u r i n g of m e t a l wires 381407 M a n u f a c t u r i n g of i r o n containers Machinery and Equipment 382101 M a n u f a c t u r i n g a n d assembly of a g r i c u l t u r a l machines 382202 T o w i n g a n d crane m a c h i n e r y 382205 F i r e extinguishers 382206 M a n u f a c t u r i n g of electrical e q u i p m e n t a n d parts 382301 M a n u f a c t u r i n g a n d assemble of machines for offices 383107 M a n u f a c t u r i n g of batteries 383109 M a n u f a c t u r i n g of another 383110 M a n u f a c t u r i n g of light bulbs electrical accessories 383201 M a n u f a c t u r i n g of L P s a n d R a d i o s 383202 M a n u f a c t u r i n g of other equipment a n d electrical equipment 383205 M a n u f a c t u r i n g of records a n d tapes Transport Equipment 384110 M a n u f a c t u r i n g a n d assembly of automobiles 384121 M a n u f a c t u r i n g of chassis for a u t o vehicles 384122 M a n u f a c t u r i n g of engines for automobiles 384123 M a n u f a c t u r i n g of vehicle t r a n s m i s s i o n s 384124 M a n u f a c t u r i n g of parts for the suspension of a u t o m o b i l e vehicles 384125 M a n u f a c t u r i n g of parts for the b r a k i n g systems of automobiles 383103 M a n u f a c t u r i n g of parts for t h e electrical s y s t e m of a u t o m o b i l e s D E T E R M I N A N T S O F INDUSTRY MARGINS 201 (continued) Class E I A 1994 Industrial Activity Other Manufacture 352233 Industries Matches T h e d a t a gives the level of investment at n o m i n a l prices a n d there is no i n f o r m a t i o n for c a p i t a l assets. T h u s , we c a l c u l a t e d the c a p i t a l assets b y following the p e r p e t u a l i n v e n t o r y m o d e l . W e follow the m e t h o d o l o g y suggested i n N a d i r i a n d P r u c h a (1996) t o c a l c u l a t e t h e i n i t i a l stock of c a p i t a l . I n t h a t paper they define t h e i n i t i a l stock of c a p i t a l as the level of investment d i v i d e d by the rate of g r o w t h of the stock of c a p i t a l a n d the average rate of g r o w t h of d e p r e c i a t i o n for the whole p e r i o d . F r o m t h a t date o n we calculate the stock by using the investment series at constant prices a n d the d e p r e c i a t i o n series (also at constant prices). T o c a l c u l a t e the level of investment at constant prices, we deflated w i t h a n i n d e x o b t a i n e d f r o m the i n p u t - o u t p u t m a t r i x for v a r ious years. F o r each year we looked at the i n p u t - o u t p u t m a t r i x for t h a t year (or the one for the closest year) a n d we trace, for each i n d u s t r y , the purchases of durables. W e c a l c u l a t e d the percentage share for each i n d u s t r y over t h e t o t a l purchases of durables m a d e by the i n d u s t r y . W i t h this i n f o r m a t i o n we c o n s t r u c t e d a weighted average price i n d e x b y using t h e weights o b t a i n e d f r o m the i n p u t - o u t p u t m a t r i x , a n d the price indexes o b t a i n e d from the n a t i o n a l accounts i n f o r m a t i o n . A l l this procedure is done at t h e two digit level (since the i n p u t - o u t p u t m a t r i x is u s u a l l y c a l c u l a t e d at this level). F o r each class, we look at the c o r r e s p o n d i n g two digit price i n d e x a n d we deflate the investment series w i t h t h a t index. F o r d e p r e c i a t i o n we use the same i n d e x to o b t a i n real depreciation. Wages a n d value added were deflated w i t h the i m p l i c i t price series. F o r i n t e r m e d i a t e i n p u t s , we used a s i m i l a r procedure to t h e one expressed for investment a n d d e p r e c i a t i o n . T h e o n l y difference was t h a t we t r a c e d the purchases of non-durables. 202 ESTUDIOS ECONÓMICOS Appendix 2 Table A . l E n d o g e n e i t y Test f o r Table 2 Whole M a n u f a c t u r i n g Sector Chi Square Marginal Significance Levels CA M * C A and M * Together 1980 - 1998 0.002965 0.676002 0.011241 1980 - 1985 0.716642 0.891263 0.929889 1986 - 1998 0.16893 0.421369 0.291823 Table A . 2 E n d o g e n e i t y Test f o r Table 3 Whole M a n u f a c t u r i n g Sector Chi Square M a r g i n a l Significance Levels CA and M / T S CA M / T S 0.00362 0.993138 0.014298 1980 - 1985 0.78854 0.834184 0.942965 1986 - 1998 0.230047 0.923594 0.477737 1980 - 1998 Together T h e i n s t r u m e n t s used for C A are the first two lagged values o f the CA v a r i a b l e , a n d the first two lagged values of t h e c a p i t a l o u t p u t r a t i o . F o r M * the i n s t r u m e n t s used are the first two lagged values o f M * t h e first two lagged values of the c a p i t a l o u t p u t r a t i o . F o r t h e test of C A a n d M * together we used the first two lagged values of t h e two variables together w i t h the first two lagged values of the c a p i t a l o u t p u t ratio. A s i m i l a r reasoning applies to M / T S .
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