BULLETIN OF POLITICAL ECONOMY 6:1 (2012): 19-38 Towards a Post-Keynesian Perspective of Mexican Manufacturing Pricing: An Approximation ROGELIO HUERTA QUINTANILLA* & IVAN MENDIETA MUÑOZ** The current paper aims to appraise the role of costs and demand in determining manufacturing prices in Mexico using modern time-series econometric techniques for the period of 1996 to 2007. Therefore, as a piece of econometric work, the paper tries to provide an insight into the dynamics of manufacturing pricing in Mexico. This might be of particular relevance since in recent years and for the Mexican economy there have been few studies dealing with the matter at issue. “There are more things in heaven and earth, than are dreamt of in your philosophy.” William Shakespeare, Hamlet INTRODUCTION The current paper aims to appraise the role of costs and demand in determining manufacturing prices in Mexico using modern time-series econometric techniques for the period of 1996 to 2007. Therefore, as a piece of econometric work, the paper tries to provide an insight into the dynamics of manufacturing pricing in Mexico. This might be of particular relevance since in recent years and for the Mexican economy there have been there have been few studies dealing with the matter at issue.1 In this sense and given that the period of study is specially important since it covers a good sample of the years of trade liberalization in Mexico, which began more markedly since the implementation of the NAFTA (North America Free Trade Agreement) in 1994, we believe that the use of econometrics might be helpful to update the “stylized facts” of Mexican manufacturing pricing since it * ** Faculty of Economics, Universidad Nacional Autómomade Mezico (UNAM), E-mail: rehueta @servidor.unam.mx School of Economics, University of Kent at Cantebury, E-mail: ivan45_650_2@hotmail.com 20 / BULLETIN OF POLITICAL ECONOMY is highly likely that the organization of Mexican firms in the light of changed environmental conditions has changed, which in turn might have affected the broader dynamics of price behaviour (Downward, 1995). Moreover, the study of Mexican prices is relevant since the predominant view considers that the decline and stability in price indexes that has been observed in recent years for the Mexican economy has been due to the implementation of the inflation targeting model, which essentially supports the hypothesis that an autonomous Central Bank that uses the interest rate as the instrument of monetary policy is able to achieve price stability (Perrotini, 2008) and deems inflation as a demand phenomenon, that is to say, deems that the principal cause of price variation are demand pressures. As we shall see, the evidence here found shows that costs (specifically labour costs) and not demand pressures are the main cause of price fluctuation in Mexican manufacturing industry. Besides this introduction, the rest of the paper is organized as follows. The second section briefly sketches some of the core elements of Post Keynesian pricing theory, including the three main pricing or price setting procedures used by the Post Keynesian tradition: markup, normal cost, and target of return pricing. The third section explores the literature on the case of Mexican manufacturing, finding that the few studies that to our knowledge exist (following orthodox or heterodox approaches) support the Post Keynesian pricing theory and specifically the normal cost pricing hypothesis. In section four the econometric tests are carried out; section five synthesizes the econometric results; and finally section six presents the main conclusions. POST KEYNESIAN PRICING THEORY: A VERY BRIEF SKETCH Since there are praiseworthy works that have already presented an exhaustive description of the history and elements of Post Keynesian pricing theory (Lee, 1986; 1994; 1995; 1996; 1998; Arestis, 1992; Downward and Reynolds, 1996; Downward, 1999; 2000; 2004; Downward and Lee, 2001; Shapiro and Sawyer, 2003; Lavoie, 1996; 2004), the purpose of this section is merely to offer an outline highlighting its most important fundamentals. As Shapiro and Sawyer (2003) state, whilst firms have little importance in neoclassical theory of prices, they are at the core of the Post Keynesian approach since the latter stresses the importance of firms pricing power and draws out the implications that it has for the determination and behaviour of prices (Shapiro and Sawyer, 2003). A DEVELOPMENT PLANNING MODEL AND APPLICATION USING ISLAMIC... / 21 Within Post Keynesian thought, prices are not determined by the conditions of their industries or markets, but are rooted in the requirements of firms, that is to say, firms strategically determine prices (Shapiro and Sawyer, 2003) in pursuit of their long term objectives (within an environment in which it is accepted that competing groups of products share the same price structure) and can adjust them as a new environment historically emerges (Downward and Lee, 2001). In other words, Post Keynesian price theory posits that prices are set up by firms that follow standard rules, procedures and pricing conventions, which are established by their particular cost-plus pricing mechanisms or broader decision making constraints (Downward and Lee, 2001). Starting from the seminal contribution of the “full-cost” theory by Hall and Hitch (1939) and the outstanding works by Andrews (1949), Kalecki (1954) and Means (1972), it can be said that Post Keynesian tradition has used three distinct pricing or price setting procedures (Lee, 1994; 1995; 1998; Lavoie, 2004):2 1. Mark-up pricing procedures, which consist of marking-up either average direct labour costs or average direct costs based on normal or estimated output to set the price, with the markup being sufficient to cover material costs (if any), shop and firm expenses (that is, overhead costs), and produce a profit (Lee, 1994; 1998). 2. Normal cost pricing procedures, which consist of marking up average direct costs based on normal output to cover shop expenses, which gives the normal average factory costs; then marking up normal average factory costs in order to cover firm expenses, which gives normal average total costs; and then marking up normal average total costs in order to set the price, with the mark-up producing a desired margin for profit (Lee, 1994; 1998). 3. Target of return pricing procedure, which is a particular case of the normal cost pricing procedure (Lavoie, 2004). In this pricing procedure a mark-up that generates a volume of profits at the normal or standard capacity utilization (which will produce a specific rate of return with respect to the value of the firm’s capital assets) is added to the normal or standard average total cost (Lee, 1998; Lavoie, 2004). All three approaches sketched above share in common the feature that prices are set by firms adding a mark-up to some measure of unit 22 / BULLETIN OF POLITICAL ECONOMY costs (Downward and Reynolds, 1996; Downward, 2004; Downward and Lee, 2001; Lavoie, 2004); hence, prices are “administered” by firms before the product arrives at the market (Means, 1972; Lavoie, 2004) and are more likely to vary with costs changes than with demand changes (Downward and Lee, 2001; Downward, 2004). In this sense, although the three pricing procedures differ at the essentials, they are collectively coherent as a part of a vision of the world described as Post Keynesian (Downward and Reynolds, 1996; Downward, 2004). However, it must be emphasized that according to empirical evidence, normal cost pricing are the most common pricing procedures used by business enterprises (Lee, 1998; Lavoie, 2004). THE CASE OF MEXICAN MANUFACTURING INDUSTRY As far as we know, there are few works addressing the determinants of Mexican manufacturing prices following orthodox or heterodox approaches. The pioneering study by Casar et al., (1979) found support for the normal cost pricing hypothesis for the period of 1961 to 1976 since the results suggest that the determinants of prices are costs and a mark-up added to the latter that remains relatively constant and do not present a cyclical behaviour regarding short-run variations in demand. Ros (1980) also found support for the claim that normal costs determine to a large extent the course of Mexican manufacturing pricing and that short-run changes in demand have no significant impact on domestic prices (that is, the mark-up remained stable and independent of demand) during the period of 1960 to 1978. The study of Jiménez and Roces (1981) also suggests a similar result in the sense that there is evidence supporting the view that firms in Mexican manufacturing set their prices based on normal costs and do not respond to changes in demand. More recently, Castañón et al., (2008) have presented the results of a survey carried out during the second semester of 2005 with 398 participating firms. The most important result of this study is “the fact that the majority of enterprises determine their prices based on a mark-up regarding their costs” (Castañón et al., 2008: 160; our translation). Thanks to the existence of idle capacity, firms can handle increases in demand, thus manifesting certain monopolistic power regardless of their size: “The existence of price rigidities generally occurs in an environment in which firms have the capacity to exercise certain market power; that notwithstanding disturbances of demand and supply they are able to maintain their prices without change” (Castañón et al., 2008: 152; our translation). Even though a small percentage of enterprises in Mexico still assert A DEVELOPMENT PLANNING MODEL AND APPLICATION USING ISLAMIC... / 23 that their prices respond to variations in demand, the vast majority do not behave in this way: “The results of this survey reveal that for 87% of the respondents surveyed, a determinant of their resulting prices turned out to be the mark-up” (Castañón, et al., 2008: 152; our translation). As it can be seen, the few studies that to our knowledge exist (following orthodox or heterodox approaches) give support to the Post Keynesian pricing theory, in specific to the normal cost hypothesis. However, it is necessary to emphasize that there has been a lack of study both at the theoretical and the empirical level, which has been more palpable lately since we have not found recent literature. This might be due to the fact that, after the severe crisis of 1995, inflation in Mexico tended to diminish, and at the onset of the new millennium it reached one-digit levels. Price variation indexes were so irrelevant during the last few years that the inflationary problem ceased to be of public concern (except in the ongoing crisis that started in 2007).3 EMPIRICAL EVIDENCE As Downward (1995) writes, the two key issues that dominate the econometric literature on pricing are: the extent to which prices are related to costs and the extent to which demand exerts a direct effect on the mark-up. These issues are usually presented in the following general model (Downward, 1995): Pt = Pt (Ct, Dt), (1) where in equation (1) Pt is the price, Ct are the costs (either current, lagged actual costs or normal costs both of which might be aggregated or refer to specific costs), Dt is a proxy variable for the demand pressure and t denotes time. Provided that the normal cost pricing hypothesis has found support for different countries (Sylos-Labini, 1984; Downward, 1995; 1999; 2001-2002; Atesoglu, 1997)4 but in particular for Mexican manufacturing industry in other periods (Casar et al., 1979; Ros, 1980; Jiménez and Roces, 1981), the paper used the analysis developed by Sylos-Labini (1984), in which the price of any good or service can be decomposed in direct and fixed costs, and the mark-up. Thereby, in its simplest form, the price of any product might be expressed as follows: p = v + qv, (2) where in equation (2) p denotes price, v depicts direct costs, and q represents the mark-up. In turn, direct costs per unit are composed by labour costs and the cost of raw materials: 24 / BULLETIN OF POLITICAL ECONOMY v = l + m, (3) where l stands for labour costs and m is the cost of raw materials per unit. Since labour costs per unit can be expressed as a relation between nominal wage per hour and the real productivity per hour, it is possible to express equation (3) as: v� w �m. � (4) In equation (4) w stands for nominal wage per worker and � is the real productivity per hour worked. Thereby, at the empirical level, it is possible to estimate the relation between prices and costs as follows (Sylos-Labini, 1984): � � � pt � � mt � � lt � wt , � (5) � � where in equation (5) wt is an error term, pt , mt and lt respectively denote the rate of growth of prices, cost of raw materials and labour costs, and finally � and � are parameters. Furthermore, in order to incorporate the possible effect that demand pressures exert on prices, the final model was estimated as follows (Downward, 1995): � � � pt � � mt � � lt � � U t � wt , (6) where in equation (6), Ut represents the demand for manufacturing products quantified through the capacity utilization rate in percentage and � is a parameter. The estimation of (6) was carried out using non-seasonally adjusted monthly data extracted from BIE-INEGI5 for the period 1996-2007 and for Mexican manufacturing industry. The Production Price Index (PPI) was used for the variable Pt; the total cost of raw and auxiliary materials per hour of work was used for mt;6 labour costs for lt,7 and finally, the capacity utilization rate in percentage as Ut.8 As it is well known, the moments of probability distribution (that is, its mean, variance and covariance) of time series data are likely to be dependent of time (Granger and Newbold, 1974; Engle and Granger, 1987; Phillips, 1986; Johansen 1988). If this happens, then the series can be considered as “nonstationary”. Nonstationarity usually can be detected through unit roots tests (Dickey and Fuller, 1981; Phillips and Perron, 1988; Kwiatkowski et al., 1992) and can be removed by taking A DEVELOPMENT PLANNING MODEL AND APPLICATION USING ISLAMIC... / 25 differences in the data. A series can be described as integrated of order d, that is I (d), if, in order to be stationary (denoted I (0)), the series requires to be differenced d times. As Granger and Newbold (1974) documented, the results of classical regression analysis with nonstationary series yield spurious results. An exception to this is the case when variables cointegrate (Engle and Granger, 1987; Johansen 1988). Cointegration of variables implies that, even though individual series are nonstationary, their combination is stationary and that a long-run equilibrium relationship between them exists. In this sense, the pressence of cointegration implies that the variables are linearly related in the long-run and this relation does not get better or worse in the sense of the series drifting closer or further away, respectively (Downward, 1995: 415). Thereby, the study started with the unit root tests of the variables included in equation (6). These are found synthesized in Table A.1 of the Appendix and seem to indicate that pt, Ut, lt and mt are nonstationary series integrated of order 1, that is I (1) series. Hence, it is necessary to undertake further tests to verify if the series are truly related (that is, if they cointegrate), thus solving the problem of spurious regressions and, accordingly, guaranteeing that unbiased estimators are obtained (Granger and Newbold, 1974; Phillips, 1986; Engle and Granger, 1987; Johansen, 1988). Estimation of equation (6) was carried out following the Johansen procedure (Johansen, 1988), which is found synthesized in Table 1: Table 1 Johansen (1988) Cointegration Analysis of Equation (6)* Ho: rank = p �tracea 0.05 Critical value p=0 p=1 p=2 p=3 111.53** 19.85 7.51 0.31 47.86 29.80 15.50 3.84 Prob.c 0.00 0.43 0.52 0.58 �maxb 0.05 Critical value Prob.c 91.69** 12.33 7.20 0.31 27.58 21.13 14.27 3.84 0.00 0.52 0.47 0.58 Number of lags (11) was selected according to Akaike and Hannan-Quinn information criteria. a Trace test. b Maximum eigenvalue test. c Probability. ** Denotes the rejection of the null-hypothesis at the 5% level of significance. Conclusions: Both Trace test and Maximum eigenvalue test indicate the presence of 1 cointegration equation at the 5% level of significance. * Source: Own elaboration with the E-views 5.1 package. 26 / BULLETIN OF POLITICAL ECONOMY As it can be seen from Table 1, both Trace test and Maximum eigenvalue test indicate the presence of one cointegration equation (that is, one long-run relationship between the variables) at the 5% level of significance. Normalizing this long-run relationship as a function of Mexican manufacturing prices it was possible to find equation (7) (where figures in parentheses represent absolute values of t-statistics): � � � pt � 0.19 * mt � 0.81 * lt � 0.02 * U t (9.88) (28.51) (4.3) (7) From equation (4) it is possible to appreciate that for the period of study (1996-2007) both costs and demand were significant and direct determinants of Mexican manufacturing prices. In particular, the results indicate that prices in Mexican manufacturing industry have been responsive to changes in costs (raw and auxiliary materials and labour costs) as well as in demand: prices in Mexican manufacturing possessed a positive elasticity regarding costs of raw and auxiliary materials and labour costs of around 0.19% and 0.81% respectively, and also a positive semi-elasticity of around 0.02 with respect to demand. In this way, the estimation found in (7) indicates that costs are the main determinants of prices. Graph 1 = Response of �pt to �Ut; Graph 2 = Response of �pt to �mt; and Graph 3 = Response of �pt to �lt. Source: Own elaboration with the E-views 5.1 package. * Figure 1: Impulse-Response Analysis for �pt before �Ut, �mt and �pt* A DEVELOPMENT PLANNING MODEL AND APPLICATION USING ISLAMIC... / 27 Additionally, in an attempt to complete a more comprehensive analysis of the effects over the manufacturing prices, an impulseresponse analysis including �pt, �Ut, �mt, and �lt (where � denotes the first differences of the respective variables) was carried out. The latter is presented in Figure 1, where the horizontal axis refers to 60 periods or months while the vertical axis shows the response of Mexican manufacturing prices to a one standard deviation shock (change) in each variable in the system (the number of lags included in the VAR was determined according to Akaike and Hannan-Quinn information criteria): Impulse-response analysis confirms the estimation of equation (4): price variation in Mexican manufacturing (�pt) can be explained chiefly through variations in labour costs (�lt) and in the total cost of raw and auxiliary materials (�mt) (with the former triggering a more explosive effect since the latter tends to stabilize in the long-run); in turn, variations in the quantity demanded (�Ut) seem to have the slightest impact on since it appears to be the one that stabilizes more rapidly in the long-run. Furthermore, Granger causality tests between the variables were carried out: Table 2 Mexican Manufacturing Sector (1996-2007): Pairwise Granger causality Tests Between Prices (p), labour costs (l), Total Cost of Raw and Auxiliary Materials (m) and demand (U)1,* Null hypothesis** F-statistic Probability �p does not Granger cause �l �l does not Granger cause �p �p does not Granger cause �m �m does not Granger cause �p �p does not Granger cause �U �U does not Granger cause �p 1.07 5.21 0.67 3.02 0.20 4.31 0.35 0.01*** 0.52 0.05*** 0.82 0.02*** 1 * ** *** In few words, Granger causality refers to the capacity of one variable to forecast another. If the probability associated to each test is greater than the chosen level of significance (0.05 in this case), then it is necessary to accept the corresponding null hypothesis. Number of lags (= 2) was selected according to Akaike and Hannan-Quinn information criteria. D denotes the first differences of the variables. Denotes the rejection of the null hypothesis at the 5% level of significance. Source: Own elaboration with the E-views 5.1 package. Table 2 indicates that there is a unidirectional relationship that runs from the total cost of raw and auxiliary materials, labour costs and 28 / BULLETIN OF POLITICAL ECONOMY demand to prices, that is to say, variations in the total cost of raw and auxiliary materials, labour costs and demand precede variations in Mexican manufacturing prices. In this sense, it seems to be that firms as a whole in Mexican manufacturing sector have taken into account the cost of raw and auxiliary materials, labour costs and demand pressures in order to set their prices. Finally, with the aim to generate a better understanding of the particular conditions of Mexican manufacturing sector, an exercise seeking the long-run relationships of the main subsectors that compose it was conducted. Table 3 shows the average percentage of the production in Mexican manufacturing attributed to each subsector during 1996 to 2007: Table 3 Mexican Manufacturing (1996-2007): Average Percentage of Production by Subsectors Subsectors Food and beverage products and tobacco Textiles, clothes and leather industry Wood industry and wood products Paper industry, paper products, press and editorials Chemical substances, oil by-products, rubber products, and plastics Non-metal mineral products, except oil and coal by-products Metal products, machinery, and equipment Basic metal industries Other industries Percentage of production 25.08 3.89 0.57 4.58 17.82 4.73 33.47 9.62 0.24 Source: Own calculations with the BIE-INEGI electronic database. From Table 3 it is possible to look at the main branches (regarding their relative share in the manufacturing production) during the period of study: Metal products, machinery, and equipment (hereafter Mp), Food and beverage products, and tobacco (hereafter Fb), and Chemical substances, oil by-products, rubber products, and plastics (hereafter Cs). Due to their important weight, these branches were selected to carry out the estimate proposed in equation (6). The analysis started again with unit root tests in order to verify the order of integration of the series for each three subsectors, finding that series in general can be taken to be I (1).9 Consequently, long-run solutions for each subsector were obtained again following the Johansen procedure (Johansen, 1988), which is presented in Tables A.2, A.3 and A.4 of the Appendix. One cointegration equation was found A DEVELOPMENT PLANNING MODEL AND APPLICATION USING ISLAMIC... / 29 for the case of Fb, whereas for subsectors of Cs and Mp two cointegration equations were found. In consequence, there is a problem of multiple cointegration in the two latter industries (Harldrup, 1994). An explanation of this result might be that some variables included in the respective VAR model may be I (2) and consequently there is the presence of one cointegration vector in the I (1) space, which is needed to be proved within the Johansen (1995) procedure and, therefore, one of the variables should be included in the long-run relationship in first differences. On the other hand, it would indicate the presence of more than one equilibrium relationship between the set of variables, but this implies to identify the different cointegration vectors (Patterson, 2000; Juselius, 2006), for which it is recommended to impose restrictions in the cointegration vectors in order to identify its parameters and to define the different equations. In trying to not overload the paper, the complete analysis of the different cointegration vectors was not carried out in the current paper; thereby, for subsectors Cs and Mp the first cointegration vector was normalized as a function of their respective prices.10 Hence, the long-run solutions of each branch are presented in equations (8), (9) and (10) of Table 4: Table 4 Long-Run Relationships of the Most Important Branches in Mexican Manufacturing Industry (1996-2007) Branch Long-run relationships following Johansen (1988) procedure* Food and beverage products, and tobacco pt � 0.25 * mt � 0.58 * lt � 0.06 * Ut .................. (8) (7.95) (3.91) (10.65) Chemical substances, oil by-products, rubber products, and plastics pt � 0.11 * mt � 0.67 * lt � 0.07 * Ut .................. (9) (2.62) (12.14) (56.95) pt � 0.11 * mt � 0.88 * lt � 0.03 * Ut � 3.90 ..... (10) (0.62) (2.45) (1.86) (3.57) * Absolute values of t-statistics are in parentheses. Metal products, machinery, and equipment Source: Own elaboration with the E-views 5.1 package. For the specific case of Mp (equation (10)) the estimation of equation (6) included a constant, which might be interpreted to be the autonomous growth of the mark-up.11 Results in Table 3 apparently indicate that firms in the three main branches of Mexican manufacturing have responded principally to costs and in specific to labour costs (given the positive elasticity of around 0.58%, 0.67% and 0.88% for subsectors of Fb, Cs and Mp respectively), whereas the cost 30 / BULLETIN OF POLITICAL ECONOMY of raw and auxiliary materials was found to be statiscally significant only in the branches of Fb and Cs (the positive elasticity is respectively around of 0.25% and 0.11%) and demand pressures have also been significant in the determination of prices although its effect is, as in the case of Mexican manufacturing sector, slightly perceptible (the positive semi-elasticity is approximately 0.06, 0.07 and 0.03 for the subsectors of Fb, Cs and Mp respectively). RESULTS Once the econometrical tests were run, the results may be summarized as follows: In the first place, modern time-series econometric techniques support the Post-Keynesian pricing theory both for Mexican manufacturing as a whole and for its main subsectors during the period of study (1996-2007): prices vary more with costs changes than with demand changes (Downward and Lee, 2001; Downward, 2004). It seems that, in order to set their prices, firms as a whole in Mexican manufacturing industry have taken into account variations in costs and in demand (given that costs and demand were found to be statistically significant). During the period 1996-2007, prices in Mexican manufacturing as a whole have possessed a positive elasticity of around 0.81% regarding labour costs and of around 0.19% regarding costs of raw and auxiliary materials. In turn, the response to demand has been slightly noticeable: if the installed production capacity is assumed to be a reflection of sales and, hence, as a result of movements in demand, the positive semi-elasticity suggests that, facing increases in the use of the installed production capacity firms have responded through an increase in prices (as it can be seen from the positive semi-elasticity of around 0.02). These results are buttressed by the impulse-response analysis (which also show that variations in prices can be explained, in order of importance, through variations in labour costs, variations in total cost of raw and auxiliary materials, and variations in the quantity demanded) and by the Granger causality tests (which show that variations in labour costs, in total cost of raw and auxiliary materials and in demand precede variations in prices). In second place and regarding the main branches of Mexican manufacturing, it seems to be that prices in the branches of Food and beverage products, and tobacco and of Chemical substances, oil by-products, rubber products, and plastics have principally responded to labour costs and the costs of raw and auxiliary materials (with an elasticity of around 0.58% and 0.67% regarding labour costs, and of A DEVELOPMENT PLANNING MODEL AND APPLICATION USING ISLAMIC... / 31 around 0.25% and 0.11% regarding the cost of raw and auxiliary materials), whilst demand has also been significant but less important (the positive semi-elasticity was found to be of around 0.06 for the subsector of Food and beverage products, and tobacco and of around 0.07 for the subsector of Chemical substances, oil by-products, rubber products, and plastics). In turn, prices in the subsector of Metal products, machinery, and equipment have responded principally to labour costs (with a positive elasticity of around 0.88%) since the cost of raw and auxiliary materials was not found to be statistically significant and the effect of demand is slightly perceptible (of around 0.03). CONCLUSIONS The current paper should not be assessed as an exhaustive inspection of the different Post-Keynesian pricing theories at the empirical level and has to be taken with moderation. As a piece of econometric work, the paper tried to provide rough empirical patterns (Arestis, 1992) of the specific characteristics that prevail in the Mexican manufacturing. To our knowledge, this has been the first attempt in which labour costs, total cost of raw and auxiliary materials and demand have been clearly distinguished amongst the possible sources of price variation using modern time-series econometric techniques for Mexican manufacturing industry. The results are relevant since they cast light on the fact that labour costs represent the main influence on Mexican manufacturing prices, which is consistent with recent research in which has been documented the worsening of the labour conditions in the Mexican economy, chiefly through the use of temporary contracts and outsourcing (Ampudia, 2010; 2011). Given the existence of a long-run “magnified exchange rate pass-through” in the Mexican economy (Mántey, 2005; Perrotini, 2008), Post-Keynesian pricing models in which there exists a limited exchange rate pass-through phenomenon (Arestis and Milberg, 1993-1994) are relevant since they are able to explain how wage decrease and the worsening of the labour conditions absorb the transmission effect derived from the cost increase due to exchange rate depreciations (Ampudia, 2010; Hernández, 2010). The current research has shown that Mexican manufacturing firms react principally to labour costs in order to set their prices, therefore, the worsening of the labour conditions that has happened more dramatically in recent years in the Mexican economy seems to be a necessary tool in order to reduce costs since the exchange rate pass-through continues to be relevant despite the low and stable inflation environment that has characterized the Mexican economy during the period of study (Mántey, 2005; Perrotini, 2008). 32 / BULLETIN OF POLITICAL ECONOMY Given that it seems that there are particular aspects that firms in the main subsectors of Mexican manufacturing follow to set their prices, the current paper makes a plea to undertake more comprehensive and compelling studies both on the empirical evidence and on the theoretical underpinnings in order to achieve a more precise outline, specially because there are few studies dealing with the topic. Moreover, in our opinion, future research taking other theories into account (for example, classical approaches in the sense of David Ricardo and Karl Marx) might be helpful to give a more detailed perspective of the behaviour of prices in Mexican manufacturing industry and in the Mexican economy. APPENDIX Table A.1 Order of Integration of the Series ADF (13)a Variabled pt �pt � 2p t lt �lt � 2l t mt �mt � 2m t Ut �Ut � 2U t PP (5)b KPSS (12)c A B C A B C �� �� – 5.2* – 5.9* – 11.5* – 2.8 – 2.3 – 12.2* – 0.2 – 17.8* – 8.0* – 0.9 – 7.5* – 8.3* – 3.7* – 7.4* – 8.8* – 2.1 – 2.4 – 12.3* – 2.2 – 17.7* – 7.9* – 1.6 – 7.5* – 8.2* 3.7 – 2.6* – 11.5* – 1.1 – 2.5* – 12.2* 3.0 – 17.0* – 8.0* 0.9 – 7.4* – 8.3* – 8.1* – 5.8* – 17.7* – 3.1* – 25.4* – 47.0* – 0.4 – 17.7* – 47.3* – 4.9* – 33.9* – 57.2* – 4.5* – 7.4* – 17.8* – 5.7* – 25.9* – 46.9* – 3.0 – 17.7* – 47.2* – 6.5* – 33.9* – 57.0* 5.9 – 3.8* – 17.8* – 1.7 – 24.6* – 47.2* 2.8 – 16.5* – 47.5* 0.3 – 33.2* – 57.4* 1.1* 0.9* 0.1 0.9* 0.2 0.1 1.2* 0.1 0.1 0.6* 0.1 0.1 0.3* 0.2* 0.0 0.3* 0.1 0.1 0.2* 0.1 0.0 0.2* 0.1 0.0 Augmented Dickey-Fuller test (1981) following Schwarz criteria with 13 as maximum lags. b Phillips-Perron test (1988) with 5 as bandwidth. c Kwiatkowski et al., test (1992) with 12 as bandwidth. d � and �2 respectively denote the first and second differences of the variables. * Denotes the rejection of null hypothesis at the 5% level of significance. Critical values at 5% level of significance for ADF and PP tests are: Model A = – 2.88 (including intercept); Model B = – 3.44 (including intercept and trend); and Model C = – 1.94 (without intercept or trend). In turn, critical values for the KPSS test are: �� = 0.46 (including intercept) and �� = 0.15 (including intercept and trend). Conclusions: series are I (1). a Source: Own elaboration with the E-views 5.1 package. A DEVELOPMENT PLANNING MODEL AND APPLICATION USING ISLAMIC... / 33 Table A.2 Johansen (1988) Cointegration Analysis for the Subsector of Food and Beverage Products and Tobacco* � � � [pt � � mt � � lt � �Ut � wt ] Ho: rank = p p=0 p=1 p=2 p=3 �tracea 54.73** 23.14 9.33 3.42 0.05 Critical value Prob.c 40.18 24.28 12.32 4.13 0.00 0.07 0.15 0.08 �maxb 0.05 Critical value Prob.c 31.60** 13.81 5.91 3.42 24.16 17.80 11.22 4.13 0.00 0.18 0.36 0.08 * Number of lags (12) was selected according to Akaike and Hannan-Quinn information criterion. a Trace test. b Maximum eigenvalue test. c Probability. ** Denotes the rejection of the null-hypothesis at the 5% level of significance. Conclusions: Both Trace test and Maximum eigenvalue test indicate the presence of 1 cointegration equation at the 5% level of significance. Source: Own elaboration with the E-views 5.1 package. Table A.3 Johansen (1988) Cointegration Analysis for the Subsector of Chemical Substances, Oil By-Products, Rubber Products, and Plastics* Ho: rank = p p=0 p=1 p=2 p=3 �tracea 76.59** 24.99** 5.48 0.83 0.05 Critical value Prob.c 40.18 24.28 12.32 4.13 0.00 0.04 0.50 0.42 �maxb 0.05 Critical value Prob.c 51.59** 19.52** 4.65 0.83 24.16 11.22 11.23 4.13 0.00 0.03 0.53 0.42 * Number of lags (11) was selected according to Akaike and Hannan-Quinn information criterion. a Trace test. b Maximum eigenvalue test. c Probability. ** Denotes the rejection of the null-hypothesis at the 5% level of significance. Conclusions: Both Trace test and Maximum eigenvalue test indicate the presence of two cointegration equations at the 5% level of significance. Source: Own elaboration with the E-views 5.1 package. 34 / BULLETIN OF POLITICAL ECONOMY Table A.4 Johansen (1988) Cointegration Analysis for the Subsector of Metal Products, Machinery, and Wquipment* � � � [pt � � mt � � lt � �Ut � wt ] Ho: rank = p p=0 p=1 p=2 p=3 �tracea 90.94** 50.50** 18.43 6.84 0.05 Critical value Prob.c 54.08 35.19 20.26 9.17 0.00 0.00 0.09 0.14 �maxb 0.05 Critical value Prob.c 40.44** 32.07** 11.59 6.84 28.59 22.30 15.89 9.17 0.00 0.00 0.21 0.14 * Number of lags (11) was selected according to Akaike and Hannan-Quinn information criterion. a Trace test. b Maximum eigenvalue test. c Probability. ** Denotes the rejection of the null-hypothesis at the 5% level of significance. Conclusions: Both Trace test and Maximum eigenvalue test indicate the presence of two cointegration equations at the 1% level of significance. Source: Own elaboration with the E-views 5.1 package. Acknowledgements We are grateful to Luis Sánchez (Faculty of Economics, UNAM) and two anonymous referees for helpful and constructive comments. However, any remaining errors must be imputed exclusively to the authors. Notes 1. As far as we know, the only studies dealing specifically with the determinants of prices in Mexican manufacturing either at the empirical or at the theoretical level are the works by Casar et al., (1979), Ros (1980), Jiménez and Roces (1982) and Castañón et al., (2008). None of these studies, in spite of their insight and proverbial importance, use modern econometric tools since the first three were written before the modern treatment of time-series appeared and the results from the latter were obtained through a survey. 2. Perhaps the most comprehensive study of Post Keynesian price theory is Lee (1998). Downward (1999) and the clear exposition presented by Lavoie (2004) are also important references. 3. As it has been briefly mentioned above, the achievement of low inflation levels for the Mexican economy has been commonly attributed to the implementation of inflation targeting. There has been an exhaustive debate on inflation targeting in Mexico and in the rest of the world that escapes the immediate purpose of this paper. However, for a relatively complete study on the specific case of Mexico see Perrotini (2008). A DEVELOPMENT PLANNING MODEL AND APPLICATION USING ISLAMIC... / 35 4. Downward (1995) and Atesoglu (1997) follow a wage-cost mark-up model. 5. BIE-INEGI (http://dgcnesyp.inegi.gob.mx/) is the acronym of “Banco de Información Económica-Instituto Nacional de Estadística y Geografía”. It represents the most important official source of economic data that can be found for the Mexican economy, and it is presented as a digital library which contains more than 160,000 historical series with economic information for the Mexican economy and other selected countries. 6. In the absence of monthly statistics, data were constructed assuming that total cost of raw and auxiliary materials employed for production followed the same trend of the PPI of the Mexican manufacturing industry. From 1996 to 2003, total cost of raw and auxiliary materials was obtained from the Annual Industry Survey which includes 205 kinds of activity, whilst from 2004 to 2007 the Annual Industry Survey including 231 classes of activities was used. It has to be said that for the whole period of analysis (1996-2007) lack of data makes it impossible to use exclusively one of them. Furthermore, the behaviour of total cost of raw and auxiliary materials employed for production might be different from the behaviour of average or unit costs of raw and auxiliary materials due to a likely change in the volume of output between consecutive periods. Since prices are determined by Post Keynesian pricing equations, where all the costs are actual or normal average costs, the current paper tried to solve this problem by using the total cost of raw and auxiliary materials per hour worked, that is, dividing the total cost of raw and auxiliary materials employed for production by the total of hours worked. 7. Labour costs were obtained dividing nominal total compensations (wages and salaries) per hour worked by real productivity per hour worked (that is, the real value of production per hour worked). Therefore, labour costs were estimated as follows: W W lt � H � PQ Q PH where lt denotes labour costs, W are the nominal total compensations (wages and salaries), H is the total work hour, Q is the total output volume, and P are prices. 8. This variable might be considered as a proxy for demand pressures of manufactured goods. 9. The reported analysis is not included in the paper; yet it is available upon request. 10. The existence of another cointegration vector for the subsectors of Cs and Mp does not affect either the results presented in Table A.3 and Table A.4 or their respective long-run solutions presented in Table 4 since it only indicates the presence of more than one equilibrium relationship between the set of variables. Whilst Tables A.3 and A.4 precisely show that the Johansen (1988) cointegration test for subsectors of Cs and Mp found the existence of another cointegration vector, Table 4 only presents the respective first cointegration 36 / BULLETIN OF POLITICAL ECONOMY vector normalized as a price function. A more detailed analysis of the particular conditions for subsectors Cs and Mp should present more compelling evidence discarding solutions in the I (2) space (that is, it should present more evidence showing that no variable is I (2)). 11. 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