The Cost of Compliance with Product Standards for Firms in Developing Countries: An Econometric Study


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  1. Keith E. Maskus, University of Colorado at Boulder
  2. Tsunehiro Otsuki, Osaka University
  3. John S. Wilson, World Bank
  4. World Bank Policy Research Working Paper 3590, May 2005
  5. The Policy Research Working Paper Series disseminates the findings of work in progress to encourage the exchange
  6. of ideas about development issues. An objective of the series is to get the findings out quickly, even if the
  7. presentations are less than fully polished. The papers carry the names of the authors and should be cited
  8. accordingly. The findings, interpretations, and conclusions expressed in this paper are entirely those of the authors.
  9. They do not necessarily represent the view of the World Bank, its Executive Directors, or the countries they
  10. represent. Policy Research Working Papers are available online at http://econ.worldbank.org.
  11. Keith E. Maskus, Department of Economics, UCB 256, University of Colorado, Boulder CO 80309,
  12. maskus@colorado.edu.
  13. Tsunehiro Otsuki, Osaka School of International Public Policy, 1-31 Machikaneyama, Toyonaka, Osaka 560-0043,
  14. Japan, otsuki@osipp.osaka-u.ac.jp.
  15. John S. Wilson, World Bank, 1818 H Street N.W., Washington DC 20433, jswilson@worldbank.org
  16. Non-technical Summary
  17. Standards and technical regulations exist to protect consumer safety or to achieve other goals,
  18. such as ensuring the interoperability of telecommunications systems, for example. Standards and
  19. technical regulations can, however, raise substantially both start-up and production costs for
  20. firms. We develop econometric models to provide the first estimates of the incremental
  21. production costs for firms in developing nations in conforming to standards imposed by major
  22. importing countries. We use firm-level data generated from 16 developing countries in the
  23. World Bank Technical Barriers to Trade (TBT) Survey Database. Our findings indicate that
  24. standards do increase short-run production costs by requiring additional inputs of labor and
  25. capital. A 1 percent increase in investment to meet compliance costs in importing countries
  26. raises variable production costs by between 0.06 and 0.13 percent, a statistically significant
  27. increase. We also find that the fixed costs of compliance are non-trivial; approximately $425,000
  28. per firm, or about 4.7 percent of value added on average.
  29. Our results may be interpreted as one indication of the extent to which standards and technical
  30. regulations might constitute barriers to trade. While the relative impact on costs of compliance
  31. are relatively small, these costs can be decisive factors driving export success for companies. In
  32. this context, there is scope for considering that the costs associated with more limited exports to
  33. countries with import regulations may not conform to World Trade Organization rules
  34. encouraging harmonization of regulations to international standards, for example. Policy
  35. solutions then might be sought by identifying the extent to which subsidies or public support
  36. programs are needed to offset the cost disadvantage that arises from non-harmonized technical
  37. regulations.
  38. 2
  39. 1. Introduction
  40. Technical regulations, such as product certification requirements, performance mandates,
  41. testing procedures, conformity assessments, and labeling standards, exist to ensure consumer
  42. safety, network reliability, or other goals. However, such regulations can significantly raise
  43. setup and production costs. As a consequence, they may act as impediments to competition by
  44. blocking firm entry and expansion within a country or, as is frequently alleged by exporting
  45. firms, as barriers to trade.1 Indeed, there has been a rising use of technical regulations as
  46. instruments of commercial policy in the unilateral, regional, and global trade contexts (Maskus
  47. and Wilson, 2001). As traditional barriers to trade have fallen, these non-tariff barriers have
  48. become of particular concern to firms in developing countries, which may bear relatively larger
  49. costs in meeting their requirements than their counterparts in developed nations.
  50. Developing countries are typically "standards takers" rather than "standards makers"
  51. since, at the national level, developing their own standards tends to be more costly than adopting
  52. those of the major markets (Stephenson, 1997). At the firm level, complying with differing
  53. standards in such major export markets as the European Union (EU), the United States, and
  54. Japan can add costs and limit export competitiveness.
  55. These costs associated with foreign standards and technical regulations may be borne
  56. publicly and privately. But developing countries typically have neither the public resources
  57. required to provide national laboratories for testing and certification nor the capability for
  58. collective action to raise their standards. As a result, a significant portion of meeting the costs of
  59. standards may be borne by individual firms.
  60. 1See the case studies in Wilson and Abiola (2003).
  61. 3
  62. Despite the evident importance of this question, to date the impacts of technical standards
  63. imposed by importing nations on the production costs of firms in developing countries have not
  64. been studied systematically in an econometric framework. Quantification of these effects is
  65. important for several reasons. First, it is useful to shed light on competing claims about the
  66. efficiency and cost impacts of foreign standards and regulations, including how these rules affect
  67. labor and capital usage. To the extent that costs are increased or input use is distorted the
  68. prospects for efficient industrial development could be impeded. Second, the estimates should
  69. be informative for governments in setting domestic standards by illustrating their potential costs.
  70. In this context, harmonization with international standards may not be optimal. Third, a finding
  71. that costs are raised would support the view that technical regulations may be used to limit
  72. market access. In cases where the importing country's regulations may not conform to WTO
  73. obligations, the empirical results could help assess the damages to the exporting country's trade
  74. benefits. Thus, information on the cost impacts could facilitate the resolution of trade disputes
  75. (Maskus and Wilson, 2001).
  76. In this paper we develop econometric models to estimate the incremental production
  77. costs of enterprises in several developing nations associated with conforming to standards and
  78. technical regulations imposed by major importing countries. We use firm-level data generated
  79. through the World Bank Technical Barriers to Trade Survey Database. Our sample includes 159
  80. firms in 12 industries located in 16 developing countries in Eastern Europe, Latin America, the
  81. Middle East, South Asia, and Sub-Saharan Africa. We employ transcendental logarithmic cost
  82. functions to separate impacts of initial compliance cost from variable cost elements in production.
  83. Our results suggest that the need to comply with foreign technical standards has a significantly
  84. 4
  85. positive impact. Specifically, the elasticity of (variable) production costs with respect to
  86. standards and technical regulations is estimated to range between 0.06 and 0.13. Evaluated at
  87. sample means, this result implies an increase in variable costs of a dollar magnitude that is
  88. similar to the rise in initial compliance costs.
  89. In Section 2 we provide background information regarding central issues of technical
  90. standards, costs, and trade. In Section 3 we specify the econometric model for assessing the cost
  91. effects of meeting foreign standards and technical regulations. In Sections 4 and 5 we discuss
  92. the survey data and econometric results, respectively. In Section 6 we make concluding
  93. observations.
  94. 2. Background
  95. In principle, product standards2 play a variety of useful roles in overcoming market
  96. failures (Stephenson, 1997). For example, emission standards oblige firms to internalize the
  97. costs of maintaining an acceptably low degree of environmental damage. Food safety standards
  98. ensure that consumers are protected from health risks and deceptive practices, information about
  99. which would not ordinarily be available in private markets. For consumers, efficient and non-
  100. discriminatory standards allow comparison of products on a common basis in terms of regulatory
  101. characteristics, permitting enhanced competition. From the producers' point of view,
  102. production of goods subject to recognized standards could achieve economies of scale and
  103. reduce overall costs. Since standards themselves embody information about technical
  104. 2The terms "standards" and "standards and technical regulations" are used interchangeably throughout this paper.
  105. The WTO provides a clear distinction between standards and technical regulations; the former are voluntary and the
  106. latter are mandatory technical requirements. In many cases "standards" cover mandatory technical requirements.
  107. 5
  108. knowledge, conformity to efficient standards encourages firms to improve the quality and
  109. reliability of their products.
  110. Standards also may reduce transaction costs in business by increasing the transparencyof
  111. product information and compatibility of products and components (David and Greenstein, 1990).
  112. This is possible as technical regulations can increase the flow of information between producers
  113. and consumers regarding the inherent characteristics and quality of products. In short,
  114. consumers can reduce uncertainty in determining product quality due to standardization of
  115. products (Jones and Hudson, 1996).
  116. International standards, in the absence of multilateral consensus on the appropriate level
  117. or setup of standards, also provide common reference points for countries to follow so that
  118. transaction costs can be reduced. For example, in 1961 Codex Alimentarius was developed as a
  119. single international reference point in order to draw attention to the field of food safety and
  120. quality. Similarly, international standards developed by the International Standards Organization
  121. (ISO) provide a basis especially for the developing countries to choose norms that are recognized
  122. in foreign markets. In this regard, conformity to global standards can increase export
  123. opportunities.
  124. Despite their potential to expand competition and trade, standards may be set to achieve
  125. the opposite outcomes. In general, standards selection could act to raise the compliance costs of
  126. some firms (e.g., new entrants) relative to other firms (e.g., incumbents) thereby restricting
  127. competition (Fischer and Serra, 2000). This outcome may be most likely in the context of
  128. international trade, where governments might choose technical regulations to favor domestic
  129. firms over foreign rivals, thereby restricting trade. This issue could be particularly problematic
  130. 6
  131. for small exporting firms from developing countries, for they would need to absorb the fixed
  132. costs of meeting multiple international regulations without enjoying domestic scale advantages.
  133. Because economic theory suggests that technical regulations can either enhance or
  134. impede trade, it is unsurprising that empirical evidence is mixed. Some studies support the claim
  135. of an efficiency-increasing effect. Swann et al (1996) studied the impacts of standards on British
  136. exports and imports over the period 1985-1991. Standards data were constructed as a simple
  137. count of the number of standards by industry. Their findings concluded that adherence to British
  138. national standards tended to raise both imports and exports. Moenius (1999) found that
  139. standards shared by two countries had a positive and significant effect on trade volumes in a
  140. gravity model. Gasiorek et al (1992) employed a CGE approach to find that harmonization of
  141. standards in the EU would reduce trade costs by 2.5 percent.
  142. In contrast, the fact that regulations can act as barriers to trade is evident in three recent
  143. studies. Otsuki, Wilson, and Sewadeh (2001) estimated the impact of changes in the EU
  144. standard on maximum aflatoxin levels in food using trade and regulatory survey data for 15
  145. European countries and nine African countries between 1989 and 1998. The results suggested
  146. that implementation of proposed new aflatoxin standards in the EU would reduce African
  147. exports of cereals, dried fruits, and nuts to Europe by 64% or US$ 670 million. Wilson and
  148. Otsuki (2002) studied the impact of pesticide standards on banana trade. The authors examined
  149. regulatory data from 11 OECD importing countries and trade data from 19 exporting countries.
  150. The results indicated that a ten-percent increase in regulatorystringency--tighter restrictions on
  151. the pesticide chlorpyrifos--would lead to a decrease in banana imports of 14.8 percent. In
  152. another paper Wilson, Otsuki and Majumdar (2002) addressed the question of whether cross-
  153. 7
  154. country standards for maximum tetracycline (a widely used antibiotic) affected beef trade. They
  155. examined the effects of the tetracycline standard on beef trade between six importing and 16
  156. exporting countries. The results suggested that a ten-percent more stringent regulation on
  157. tetracycline use would cause a decrease in beef imports by 6.2 percent.
  158. Survey evidence also points to cost-raising characteristics of technical regulations. A
  159. survey by the OECD (2000) as well as the interviews conducted by the United States
  160. International Trade Commission (1998) shed some light on the size of standards-related costs.3
  161. According to the OECD study, which was based on 55 firms in three sectors in the United States,
  162. Japan and the United Kingdom, the additional costs of complying with foreign standards can be
  163. as high as 10 percent. The United States International Trade Commission informally interviewed
  164. representatives of the U.S. information technology industry. Interview responses revealed that
  165. standards-related costs are considered the most significant trade barrier in that sector.
  166. Overall, therefore, theoretical models and empirical evidence are mixed on the trade
  167. impacts of foreign standards. However, the empirical studies undertaken to date adopt indirect,
  168. and potentially misleading, approaches to understanding the cost impacts of regulatory
  169. requirements. Specifically, the econometric investigations estimate reduced-form or gravity
  170. models of bilateral trade in which standards are entered as a determinant of trade flows. The
  171. survey evidence is informative but fails to incorporate the responses directly into a well-specified
  172. cost function. Thus, a significant omission in this literature is that none of these studies has
  173. taken a systematic and parametric approach to estimating the actual cost impacts of complying
  174. with international standards. It is of considerable interest to study the extent to which variable
  175. 3See the discussion in Maskus, Wilson, and Otsuki (2001).
  176. 8
  177. production costs are raised by these compliance needs and whether such compliance efforts have
  178. impacts on factor demand within firms. This is the task to which we turn next.
  179. 3. Modeling the Cost Effects of Standards
  180. A full accounting of the implications of a firm's decision to comply with standards
  181. requires close study of both the costs and benefits of doing so. Our focus here is strictly on the
  182. supply side and we leave aside the demand for compliance.4 Thus, our aim is to provide an
  183. initial quantification of the costs incurred by firms in developing countries as they meet technical
  184. regulations required in major export markets. It is of considerable interest to determine whether
  185. such cost increases are significant.
  186. 3.1 Cost Function
  187. Consider a firm exporting a product to a foreign market that mandates conformity with
  188. standard s. We assume that the firm's compliance with any domestic standard is a sunk cost and
  189. does not affect its decision to meet the foreign requirement. In principle the foreign standard
  190. could affect both the firm's fixed costs (e.g., by requiring product redesign) and its variable costs
  191. (e.g., by devoting more labor to product certification). To capture this possibility, we model
  192. initial investment in compliance with the standard as a quasi-fixed factor and estimate a short-run
  193. variable cost function.5 In this view, fixed costs are incurred in investing in compliance while
  194. 4Our data are insufficient for the analysis of demand for compliance. Such an analysis will require data on unit
  195. prices of products that comply with standards and those that do not in each export market. This data is not currently
  196. available.
  197. 5See Berndt and Hesse (1986), Morrison (1988), and Badulescu (2003) for further discussion. Badulescu sets out a
  198. similar specification in which R&D is a quasi-fixed input across countries.
  199. 9
  200. firms alter their capital and labor usage to meet recurring costs. Thus, our cost estimates reflect
  201. short-run equilibrium and cannot be considered estimates of full adjustment to the long run.
  202. In general, then, the cost function for the firm is specified as
  203. C = C(w, y;s, z) (1)
  204. Here, w refers to a vector of factor prices, y is output, s indicates the stringency of the foreign
  205. standard, and z is a vector of other variables affecting firm-level costs. The firm minimizes
  206. variable costs wx, where x is the vector of variable inputs. The cost function is assumed to have
  207. standard properties: non-decreasing in w and y, concave in w, and homogeneous of degree one
  208. with respect to w.
  209. This general cost function has the stringency of standards and technical regulations, s, as
  210. an argument because differential standards and technical regulations should affect the choice of
  211. inputs for producing a given output level. That is, firms are informed about the technical
  212. regulations required to sell their products in foreign markets. They make input allocation
  213. decisions between production activities in the traditional sense and efforts that are devoted to
  214. comply with the standards and technical regulations.
  215. 3.2 Estimation Models
  216. We estimate firm-level parametric cost functions. This approach requires three central
  217. assumptions. The first is that all firms, across industries and countries, share the same
  218. technology. Application of the transcendental logarithmic (translog) function to industry-level
  219. production data across OECD countries shows that this assumption is unlikely to hold (Harrigan,
  220. 1997). In the most general case we should estimate firm-level fixed effects and fully flexible
  221. quadratic terms between these effects and all cost-related variables in order to permit factor
  222. 10
  223. biases in technical differences. Unfortunately, such a specification would more than exhaust the
  224. available degrees of freedom and is infeasible. Thus, we include in vector z industry and country
  225. fixed effects in every specification to control for differences in technology relative to the
  226. benchmark function. Nonetheless, this approach requires making the residual assumptions that
  227. firms within an industry within each country share the same cost functions and that efficiency
  228. differences by industry and country are Hicks-neutral.
  229. A second problem is that estimation of a cost function incorporating intermediate inputs
  230. requires firm-level data on prices of materials and intermediates, which our survey data do not
  231. provide. Accordingly, we specify equation (1) as the cost of producing net output, or value
  232. added, introducing only labor and capital as variable inputs. Thus, we assume that the value-
  233. added cost function is weakly separable from the aggregator for raw materials and intermediate
  234. inputs. The weak separability of the cost function implies that the choice of relative labor and
  235. capital inputs will be independent of material and intermediate input prices.6
  236. The cost function that reflects this technology is rewritten as
  237. C(w, y;s, z) = (C1(y,w1;s,z),C2(y,w2; s, z)) , (2)
  238. where w1 ={wL ,wK ) and w2 is the vector of prices for variable inputs other than labor and capital.
  239. These subcomponents of the overall cost function should be homogeneous of degree one in w1
  240. and w2, respectively, in order to be consistent with the linear homogeneity of C in w. Thus, this
  241. cost function allows for each subcomponent to be estimated separately. Our goal is to estimate
  242. 6In our particular case, the separability condition is written as
  243. C(w, y;s, z)/wL = 0, j L, K or
  244. wj C(w, y;s, z)/wK wj K(w, y;s, z)
  245. L(w, y;s,z) = 0, j L, K .
  246. 11
  247. the elasticity of value-added cost (which corresponds to C1) with respect to standards. This
  248. elasticity may be written as
  249. C1 s = ln C1 /ln s (3)
  250. s s C1
  251. The third assumption is that factor prices are exogenous to firms, permitting their input
  252. choices to be made endogenously. However, inspection of our survey data shows that direct
  253. application of this assumption to a cross-section of firms is untenable because firms inevitably
  254. report different average wage rates (or annual salaries) and returns to capital. Put differently,
  255. direct construction of labor and capital prices from the survey data makes use of variables that
  256. are endogenous, both in principle and in fact.
  257. Consider, for example, the calculation of average salary per firm, which we define as
  258. total payroll divided by firm employment. This computation generates figures for annual wage
  259. rates that vary across firms within each country, as suggested by the summary data in Table 1.
  260. Thus, the notion that firms inside a country, or even within an industry, face a common wage in a
  261. competitive labor market is questionable. Similarly, we calculate an average capital price per
  262. firm as operating surplus (value added less payroll), divided by the value of fixed assets. As may
  263. be seen in Table 1, these constructed prices vary across firms as well.
  264. One approach to resolving this difficulty would be to apply a national-average (or
  265. industry-average) salary and price of capital to all firms. Such aggregate prices could be justified
  266. as exogenous to each enterprise. However, to do so would sacrifice the cross-sectional variation
  267. in factor prices needed to identify the cost function. To cope with this problem we employ an
  268. instrumental variables technique in which we recognize that variations in factor prices across
  269. 12
  270. firms depend on other characteristics of firms (Roberts and Tybout, 1997; Bernard and Jensen,
  271. 2000). Specifically, we estimate first-stage regressions of constructed labor and capital prices on
  272. national-average factor prices, country and industry dummies, firm age (years since founding),
  273. and dummy variables indicating the structure of firm ownership.
  274. wL = a0 + a1wL + a2wK + Sa3jDj + Sa4kDk + a5AGEijk + Sa6mDm
  275. ijk k k (4)
  276. wK = b0 + b1wL + b2wK + Sb3jDj + Sb4kDk + b5AGEijk + Sb6mDm
  277. ijk k k (5)
  278. Here, superscripts i, j, and k refer, respectively, to firm, industry, and country, while superscript
  279. m refers to type of ownership. In the data there are four types of ownership: privately held
  280. domestic firms, publicly traded domestic firms (including domestic subsidiaries and joint
  281. ventures with domestic firms), subsidiaries of multinational firms (including joint ventures with
  282. multinational firms), and state-owned or collective enterprises. In principle, age and ownership
  283. are past decisions that should be exogenous to current employment levels. Thus, the
  284. instrumentation procedure should generate predicted wages that are exogenous to the second-
  285. stage cost function estimation.
  286. With these assumptions, we can develop an estimable translog cost function. Again, we
  287. treat the standard with which a firm must comply to be a quasi-fixed factor and estimate a short-
  288. run variable cost function. The notion is that for a firm to export it must meet the required
  289. compliance cost and therefore it sets aside that component of cost before allocating labor and
  290. capital to production activities. We specify the translog form to permit a flexible second-order
  291. approximation to a cost structure depending on output, input prices, and standards. Thus, our
  292. central specification of costs for firm i is as follows.
  293. 13
  294. ln C~i = 0 + y ln yi + L ln wLi + K ln wKi + LL (ln wLi )2 + KK (ln wKi )2
  295. 1 1
  296. 2 2
  297. + yy (ln yi)2 + LK ln wLi ln wKi + Ly ln wLi ln yi + Ky ln wKi ln yi + s ln si
  298. 1
  299. 2 (6)
  300. + Ls ln wLi ln si + Ks ln wKi ln si + ln yi ln si + ss(ln si )2
  301. 1
  302. ys 2
  303. N C
  304. + z +
  305. zn n zc c
  306. z + DDdom +i
  307. n=1 c=1
  308. ~
  309. where C denotes value-added (cost of labor and capital, referred to as production cost hereafter),
  310. wL denotes the instrumented wage rate, wK denotes the instrumented unit price of capital, y
  311. denotes sales as a measure of output, and s denotes the firm-specific measure of standards.
  312. Summary data on these variables are provided in Table 1 for the estimation sample. The
  313. variables zn and zc denote industry-specific and country-specific factors, respectively, affecting
  314. firm costs. We capture these additional factors by means of industry and country fixed effects.
  315. For this purpose we use the four-industry aggregation listed in Table 2 and the 16 countries in
  316. Table 3.
  317. Our setup cost for compliance is designed specifically in the survey to measure cost
  318. associated with foreign technical regulations and standards. Some of the surveyed firms
  319. indicated that it is also necessary to comply with domestic technical regulations and standards in
  320. order to sell their products in the domestic market. Because information is not available on the
  321. cost of complying with domestic technical regulations and standards, a dummy variable ( Ddom)
  322. is used to control for the possible cost difference associated with the domestic requirement. It
  323. takes the value one if a firm reports that it is required to comply with domestic technical
  324. 14
  325. regulations and standards, and the value zero otherwise. The variable i is the error term, which
  326. is assumed normally distributed with zero mean.
  327. Equation (6) is the translog cost function, which we estimate simultaneously with the
  328. following equation for the share of labor in variable costs:
  329. SLi = L + LL ln wLi + LK ln wKi + Ly ln yi + Ls ln si + µi (7)
  330. The error term is also assumed normally distributed with zero mean and it reflects stochastic
  331. disturbances in cost minimization. We eliminate the capital-share equation from the estimation
  332. because it is fully determined by equations (6) and (7) and the constraints below.
  333. Note that in writing these equations we have imposed the required symmetry in cross-
  334. variable coefficients. Further, the linear homogeneity condition imposes the following
  335. constraints:
  336. L + K = 1
  337. KK + LK = 0 (8)
  338. LL + LK = 0
  339. L + Ky = 0
  340. y
  341. Ls + Ks = 0
  342. Equations (6) and (7) are estimated jointly in an iterative three-stage least squares
  343. procedure (I3SLS), subject to the constraints in equations (8). When one of the share equations
  344. is dropped, the I3SLS produce is the preferred approach since the estimators are consistent and
  345. asymptotically efficient (Berndt and Wood 1975). The I3SLS procedure guarantees identical
  346. translog cost parameters irrespective of which share equation is dropped. The parameters for the
  347. 15
  348. dropped equation can be recovered by using the symmetry condition and the conditions in
  349. equations (8).
  350. From equation (6) we can determine the direct elasticity of production costs with respect
  351. to foreign standards as = s + ss ln si , which varies with the level of standards. We are
  352. d
  353. s
  354. interested as well in the impacts of the standards on factor demands. The coefficient Ls in the
  355. share equation (7) measures the bias in labor use (impact on labor share) from an increase in the
  356. foreign standard (Ls SL ln s = Ls ), and likewise for the bias in capital use
  357. (Ks SK ln s = Ks ). In effect, the need to meet this standard could generate an overall
  358. increase in costs, along with a bias in factor use toward labor or capital.
  359. While the direct cost elasticity is of some interest, we can calculate the total elasticity of
  360. cost with respect to a change in the stringency of standards, accounting for impacts on factor use,
  361. as
  362. S ln C~ ln s = s + ss ln si + Ls ln wLi + Ks ln wKi + ys ln yi . (9)
  363. This elasticity will vary with different observations on factor prices and output. Likewise, we
  364. can calculate the total elasticity of scale as
  365. ln C ln y = y + ln yi + Ly ln wLi + Ky ln wKi + ln si .
  366. ~
  367. (10)
  368. y yy ys
  369. Finally, the Allen partial elasticities of substitution between inputs i and j ( ij ) are:
  370. ii = ii + Si - Si
  371. 2
  372. , i = L or K
  373. Si
  374. ij = ij + SiS j
  375. , i = L, j = K . (11)
  376. SiS j
  377. 16
  378. 4. Data and Variable Construction
  379. The data used for cost estimation are taken from a new survey undertaken by the World
  380. Bank explicitly for the purpose of assessing compliance costs of firms in developing countries
  381. facing technical standards in their potential export markets. Because the data are constructed
  382. from firm-level surveys we provide an overview of their development.
  383. 4.1 The World Bank Technical Barriers to Trade Survey Data
  384. The World Bank Technical Barriers to Trade Survey is the first comprehensive
  385. questionnaire designed to elicit information from individual firms in developing countries about
  386. how their operations are affected by foreign technical requirements.7 The survey was
  387. administered in the year 2002 to 689 firms in 17 developing countries. The objective of the
  388. survey is to obtain informationon the relevant standards, government regulations, and technical
  389. barriers to trade confronting exporters from developing countries seeking to enter major
  390. developed-country markets.
  391. The countries cover a range of economic development and export experience yet have
  392. sufficiently deep agricultural and industrial structures to permit sectoral comparisons. Countries
  393. were selected for study in five regions. These include Poland, the Czech Republic, and Bulgaria
  394. (East Europe); Argentina, Chile, Panama, and Honduras (Latin America); Jordan and Iran
  395. (Middle East); India and Pakistan (South Asia); and South Africa, Nigeria, Uganda,
  396. Mozambique, Kenya, and Senegal (Sub-Saharan Africa). Information on the number of firms
  397. interviewed in each country and included in the estimation sample is listed in Table 3.
  398. 7Wilson and Otsuki (2003) describe this survey in detail.
  399. 17
  400. The survey also embodies a diverse sectoral composition. The majority of firms are
  401. categorized as manufacturing. The largest single industry is textiles and apparel (46 firms)
  402. followed by raw agricultural products (18 firms) and processed food and tobacco (24 firms; see
  403. Table 2). For analytical purposes we group the industries into four broad categories, namely raw
  404. food; processed food, tobacco, drug and liquor; equipment; and textiles and materials.8
  405. Firms were asked to provide information about numerous characteristics, including
  406. product composition, age, form of ownership, employment, payroll, value of fixed assets,
  407. intermediate inputs, raw materials, and others. Of particular interest is the export orientation of
  408. firms. The majority of the respondent companies in the sample export at least some of their
  409. products. The procedure for selecting firms meant that the sample consists of firms that are
  410. either currently exporting or are willing to export but have chosen not to do so for some reason.
  411. The number of firms that are currently exporting is 646 or 93.6 percent of the total. The number
  412. of firms that are clearly not exporting is 43 or 6.4 percent of the total. Seventy percent of the
  413. firms in the total sample face the need to comply with technical regulations (as defined in the
  414. survey) in their export markets.
  415. Across all five regions, 55 percent of the firms may be categorized as the headquarters
  416. location of a privately held, non-listed company. About 20 percent are the headquarters location
  417. of a publicly traded or listed company and 18 percent are subsidiaries or joint ventures of a
  418. domestic enterprise. About 6.5 percent are subsidiaries of foreign firms or joint ventures with
  419. foreign partners. Only a small portion of firms are state-owned or collective enterprises.
  420. 8Standards in the services sector are no less important than product standards as is evident in trans-border
  421. operations of education, postal and telecommunication services. Collection of data on services standards, however,
  422. would require expansion of the definition of standards as attributes of services outputs which are different from and
  423. more complex than those of goods.
  424. 18
  425. 4.2 A Measure of Standard
  426. A direct measure of the stringency of foreign standards and technical regulations
  427. confronting a variety of industries and importing partner countries is difficult to define.
  428. However, the relative increase in setup cost incurred for complying with these standards is a
  429. good proxy for their stringency. One advantage of using reported investment to represent
  430. stringency is that this measure is expressed in dollar terms and therefore is comparable across
  431. industries and countries. In practical terms such an aggregation is necessary because the precise
  432. specifications of technical standards facing firms vary across industries and cannot be
  433. meaningfully aggregated at that stage. Another advantage is that expenditure for compliance can
  434. be interpreted as a quasi-fixed factor, permitting us to specify a short-run variable cost function.
  435. Our measure of foreign standards and technical regulations is constructed from
  436. respondents' answers to the question summarized in Table 4. Respondents were asked the
  437. following question: "What are the approximate costs of the items below as a percentage of your
  438. total investment costs over the last year?" As may be seen, three categories were listed and
  439. respondents indicated such costs within broad ranges.9 To focus on incremental investment as a
  440. measure of quasi-fixed costs, we construct a standards-cost aggregate from the first three
  441. categories. Weighted-average setup costs with regard to each category were computed by
  442. multiplying the midpoint percentage within each range by reported investment cost of each firm,
  443. yielding a dollar figure per category per firm. To develop the overall measure per firm we
  444. simply added these various cost categories. Thus, to quantify the perceived impact of meeting
  445. foreign standards and technical regulations we develop a measure of incremental contributions to
  446. 9The survey also asked two questions about measures of recurrent labor costs, which we do not employ in this
  447. paper.
  448. 19
  449. setup costs arising from additional plant and equipment and product redesigns (in total and for
  450. multiple markets).
  451. Unfortunately, not all firms responded to all three categories. Thus, to include only those
  452. cases with responses in all of these categories greatly would reduce the number of observations
  453. available for the regression analysis. We therefore aggregated these standards variables by
  454. summing across the three categories, assigning a category value of zero to firms with missing
  455. responses, for those firms where at least one category response was positive. Presumably, this
  456. procedure understates the severity of such costs and should result in conservative cost
  457. estimates.10
  458. Therefore, we use the increase in previous year's reported investment cost for compliance
  459. as a measure of the short-run fixed cost of standards and technical regulations. As shown in
  460. Table 1, the total standard cost varies from a minimum of $357 to a maximum of $12.3 million.
  461. Reported setup costs for compliance obviously are greater for larger firms.
  462. 5. Estimation Results
  463. The first-stage regressions to develop instrumented labor and capital prices were run
  464. based on equations (4) and (5). The instruments used include per capita GDP, real interest rates,
  465. firm age, country and industry dummies, and dummy variables indicating the structure of firm
  466. ownership. Per capita GDP and real interest rates were used to represent national average wage
  467. rates and national average price of capital, respectively. We used the lending interest rate
  468. 10This selection procedure rais es a significant concern about selectivity bias. To control for this we included in
  469. supplemental regressions a dummy variable taking on the value of 1 for firms that answered all three categories and
  470. a value of zero otherwise. This made virtually no difference in the results.
  471. 20
  472. available from the World Development Indicators. The interest rates were adjusted for inflation
  473. as measured by the GDP deflator. These two equations were estimated jointly using seemingly
  474. unrelated regression (SUR). The instrumented wage rates and capital prices were then used in
  475. the cost function and share equation regressions.
  476. In the second stage a cost function was run under alternative specifications. The
  477. maximum number of observations included in these regressions was 159. As mentioned earlier,
  478. this loss in observations is largely due to the low response to the questions regarding compliance
  479. withthe foreign standards and technical regulations. The translog cost function was estimated
  480. with the labor share equation jointly by using maximum likelihood estimation with iterated
  481. three-stage least squares. The I3SLS method was used to obtain consistent estimators by
  482. guaranteeing invariance of the estimated coefficients of the share equations irrespective of which
  483. of the share equations is dropped (Berndt and Wood, 1975).
  484. The parameter estimates with respect to translog models are presented in Table 5, with
  485. standard errors reported in parentheses. In the first specification we exclude the quadratic term
  486. on standards and the cross-terms on standards, input prices, and output. Thus, this model tests
  487. for the notion that technical regulations affect costs only directly, without secondary impacts
  488. through scale and variable inputs. The second equation contains the full translog specification
  489. and is consistent with theory. Both of these regressions employ the instrumented factor prices
  490. from the first stage. The third equation also follows the full specification but for comparison
  491. purposes uses the raw (uninstrumented) wage rates and unit prices of capital. Finally, the fourth
  492. model is estimated under the full translog but employs a different definition ofthe standards
  493. variable, one that only contains the categories for one-time product redesign costs (excluding
  494. 21
  495. plant and equipment investment). In this case the sample size falls to 96. Our interest here is in
  496. seeing if the redesign costs alone have different impacts on costs.
  497. All equations include industry and country fixed effects. The fit of each model is good
  498. with adjusted R-squared coefficients of around 0.9. According to the procedures described in
  499. Berndt and Wood (1975), we examined local concavity in input prices and positivity of input
  500. shares for the translog model. Our fully specified translog cost functions were found to satisfy
  501. these conditions.
  502. The results of the translog model estimation suggest that the signs for the coefficients for
  503. the linear and quadratic terms of the wage rate and capital price are all positive and statistically
  504. significant. However, the signs and significance of the coefficients for the linear and quadratic
  505. terms of the log of standards are mixed. In the restricted model I, the direct coefficient S is
  506. positive, suggesting that costs rise with the relative severity of foreign standards. However, in
  507. the general models II, III, and IV both the linear and quadratic coefficients on standards are
  508. negative, suggesting that the direct effect of standards is negative or cost saving.
  509. However, such direct impacts fail to account for the impacts of foreign technical
  510. regulations through factor use and scale. We compute the total elasticity of costs with respect to
  511. standards as in equation (9), reporting the results in Table 6. We evaluate this elasticity at the
  512. mean and first and third quartiles of standards, sales, and input prices. It may be seen that the
  513. total elasticity of domestic costs in producing value added with respect to variations in foreign
  514. standards ranges from0.055 to 0.325, depending on the estimation approach and sample quartile.
  515. This estimate is significantly positive at the mean in Model II and consistently positive and
  516. significant in Models III and IV.
  517. 22
  518. These differences require some explanation. The highest elasticities are registered in
  519. Model III, in which the variable factor prices are not instrumented. Taken literally, the result
  520. would suggest a quantitatively large impact of the severity of foreign standards on variable input
  521. costs in exporting firms. That is, having satisfied the fixed setup costs required by foreign
  522. technical regulations, variable costs would increase via a large induced increase in labor and
  523. capital demand. Indeed, the computed elasticities of labor and capital demand in Table 7 are
  524. highest in this specification, suggesting that a one-percent rise in foreign standards would induce
  525. an 0.3-percent increase in labor and an 0.24-percent increase in capital employment.
  526. However, these estimates fail to account for the endogeneity between production costs
  527. and factor prices in our firm-level data. The instrumental variables approach in Models II and IV
  528. should offer more reliable estimates. It may be seen that, using the fuller specification of
  529. standards costs in Model II, including both plant and equipment charges and redesign costs, the
  530. estimated cost elasticity in Table 6 is approximately 0.06, which is significantly positive only at
  531. the mean of the sample. Thus, our estimate with the preferred econometric approach and the
  532. larger sample suggests that increases in foreign standards compliance costs modestly affect
  533. variable cost.
  534. Interestingly, however, the estimated total cost elasticity is considerably higher in Model
  535. IV, which incorporates only the product-redesign costs as a fixed factor. In that specification the
  536. estimated elasticity is around 0.13 and is highly significant at the sample mean. This finding
  537. indicates that the need to reorient product characteristics to meet foreign standards adds
  538. significantly to short-run variable costs. While the results in Models II and IV are not strictly
  539. comparable because of the different samples, this provides some indication that it is the need to
  540. 23
  541. meet foreign requirements on product characteristics that matters rather more for sustaining
  542. export positions. As may be seen in Table 7, the need for redesign implies induced increases in
  543. demand for labor and capital of perhaps 0.12 - 0.15 percent.
  544. While the estimated elasticities of variable cost with respect to the severity of foreign
  545. standards seem modest, the implied cost impacts should be kept in perspective. As noted in
  546. Table 8, at the sample mean a one-percent increase in compliance costs amounts to $4,250 for
  547. the larger sample ($1,620 for the smaller sample). In turn, the table lists the dollar increment in
  548. variable costs implied by the elasticities in each model at the sample mean. As may be seen, this
  549. increase is $5,270 in Model II and $12,904 in Model IV. Thus, the implied expansion of
  550. variable costs is, in fact, of a similar magnitude to the rise in required investment to meet
  551. compliance costs. Viewed this way the impact on overall costs for the average firm, including
  552. both compliance expenditures and variable charges, is economically significant.
  553. Estimates of the scale elasticity (equation (10) are also presented in Table 6. This
  554. parameter measures the percentage change in variable cost with respect to a one-percentage
  555. change in output and may be interpreted as the ratio of marginal cost to average cost. These
  556. scale elasticities range between 0.91 and 1.11. It is therefore not clear whether the average firm
  557. in our sample exhibits economies of scale or diseconomies of scale.
  558. We have assumed so far that the elasticity of costs with respect to standards is constant
  559. across industries. Unfortunately, we do not have sufficient numbers of observations to run a
  560. separate cost function regression per industry even using the aggregated industries. We instead
  561. examine the constancy of the elasticity by letting the elasticity vary across industries in a pooled
  562. regression. That is, we estimate equations (6) and (7), incorporating interaction terms between
  563. 24
  564. the standards variables and four aggregate industry dummies. Let j denote jth industry.
  565. Equations (6) and (7) will be rewritten as:
  566. ln C~i = 0 + y ln yi + L ln wLi + K ln wKi + LL (ln wLi )2 + KK (ln wKi )2
  567. 1 1
  568. 2 2
  569. + yy (ln yi)2 + LK ln wLi ln wKi + Ly ln wLi ln yi + Ky ln wKi ln yi +
  570. 1 jD ln s
  571. j j
  572. 2 s i
  573. j
  574. (12)
  575. + j j j j j j j j
  576. LsD ln wLi ln s ji + KsD ln wKi ln s +i ysD ln yi ln s i
  577. j j j
  578. N C
  579. + 1 j D (ln s ji)2 +
  580. j
  581. 2 ss znzn + zc c
  582. z + DDdom + i
  583. j n=1 c=1
  584. SLi = L + LL ln wLi + LK ln wKi + Ly ln yi + j j (13)
  585. LsD ln si + µi
  586. j
  587. where Dr =1 if j = r and Dr = 0 if j r . The fifth constraint in (8) should also be rewritten
  588. accordingly:
  589. Ls + Ks = 0 where j =1,..,J
  590. j j (14)
  591. This revision of the equations and a constraint permits us to compute elasticities for four
  592. aggregated industries, including equipment, textiles and materials, raw food, and processed food.
  593. The jth industry's total elasticity of cost with respect to standards is:
  594. = s + ss ln si + Ls ln wLi + Ks ln wKi + ys ln yi .
  595. j j j j j j (15)
  596. s
  597. The results for each model are presented in Table 9. There appear to be no significant
  598. impacts on variable costs in processed foods, drugs, and liquors. Estimated cost elasticities are
  599. 25
  600. consistently positive in the other sectors and standards seem to affect variable costs especially in
  601. equipment (Model II) and textiles and material (Model IV).
  602. Finally, Table 9 displays the elasticities of labor and capitaldemand with respect to
  603. standards. These may be defined as
  604. (16)
  605. Ls ln L/ln s = ln C /ln s - ln SL /ln s
  606. Ks ln K / ln s = ln C /ln s - ln SK /ln s
  607. Using the elasticity of cost with respect to standards, evaluated at the mean, the full translog
  608. model with instrumented input prices (Model II) implies that =0.060 and =0.056. This
  609. Ls Ks
  610. indicates that a rise in compliance setup costs increases both labor and capital usage, with a
  611. slightly greater increase in labor demand. As noted above, these effects are larger in Model IV.
  612. The Allen partial elasticities of substitution in Table 10 indicate a moderate substitutability
  613. between labor and capital ( ) in the sample. The own-elasticity estimates indicate that labor
  614. KL
  615. is highly elastic with respect to its own price and that capital is much less elastic.
  616. 6. Conclusions
  617. This paper estimates the impact on short-run costs of complying with standards and
  618. technical regulations required by importing countries using firm-level data on technical barriers
  619. to trade for 16 developing countries based on the World Bank Technical Barriers to Trade
  620. Survey Database. The translog model results indicate that incremental production costs are
  621. greater for a firm confronting more stringent standards and technical regulations. Using the
  622. broader measure of standards in Model II, variable production costs are 0.058 percent higher
  623. 26
  624. when the initial setup cost for compliance with foreign standards is increased by 1 percent. In
  625. this case 0.060 percent additional labor and 0.056 percent additional capital are employed.
  626. Using the narrower cost definition, focusing on product redesign costs, the impacts on variable
  627. costs are considerably higher, at 0.13 - 0.14 percent, with correspondingly higher impacts on
  628. variable factors. We focus on only labor and capital cost, but other types of input costs may arise
  629. as additional plants and production units will require additional raw material, energy and
  630. intermediate inputs.
  631. Our analysis demonstrates the possible supply response in developing country enterprises
  632. when changes in foreign standards and technical regulations take place. It can also be inferred
  633. how much more (less) cost is incurred when a firm switches between export markets that vary in
  634. the severity of standards and technical regulations. It is conceivable that firms might avoid
  635. higher-cost markets in light of the impacts on production expenditures.
  636. The results may be cautiously interpreted as indications ofthe extent to which standards
  637. and technical regulations constitute non-tariff barriers to trade. While the relative impact on
  638. costs is small in terms of the underlying elasticity, it could be decisive for particular firms and
  639. countries. In this context, there is scope for assessing the damages to the exporting country's
  640. trade benefits where the importing country's regulations may not conform to WTO obligations.
  641. Policy solutions then might be sought by identifying the extent to which subsidies or public
  642. support programs are needed to offset the cost disadvantage that stems from international
  643. technical regulations. Furthermore, disaggregation of the cost disadvantage into those associated
  644. with initial setup and variable production costs would help identify policy solutions regarding
  645. standards and technical regulations. The existence of both setup and variable costs would imply
  646. 27
  647. that a discrete action, such as upgrading infrastructure and training through government
  648. programs and assistance from international organizations, for example, would be necessary to
  649. overcome the cost disadvantage in addition to ad valorem subsidies.
  650. 28
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  710. 30
  711. Table 1. Data Summary
  712. Variable Mean Std. Dev. Min Max
  713. Value Added (US$1,000) 9,087 22,744 13 189,463
  714. Sales (US$1,000) 21,382 49,297 48 336,216
  715. Wage rate (US$1,000) 3.14 3.14 0.11 15.38
  716. Wage rate instrumented (US$1,000)* 2.47 1.78 0.34 8.15
  717. Unit price of capital (US$1,000) 1.92 4.10 0.00 29.91
  718. Unit price of capital instrumented (US$1,000)* 0.82 0.63 0.06 4.01
  719. Per capita GDP (US$1,000) 2.22 1.89 0.26 7.47
  720. Real interest rate (lending) (%) 9.00 4.78 1.68 29.09
  721. Number of years since foundation 27.58 23.71 2 142
  722. Standards (compliance costs of previous year) (US$1,000) 425 1,441 0.357 12,310
  723. *Please see Section 5 for the instruments used for the wage rate and the unit price of capital.
  724. Table 2. Industries in the Sample
  725. Aggregate Industry Sub-industry Count
  726. Raw food Raw agricultural and meat products 18
  727. Subtotal 18
  728. Processed food, tobacco, Processed food, tobacco, drug and liquor
  729. drug and liquor 24
  730. Subtotal 24
  731. Equipment Electronics 11
  732. Industrial equipment 4
  733. Transportation equipment, and auto parts 10
  734. Other equipment 6
  735. Subtotal 31
  736. Textiles and Materials Metal and mineral 15
  737. Chemical 11
  738. Leather 3
  739. Plastics material 9
  740. Textiles and apparel 46
  741. Wood product 2
  742. Subtotal 86
  743. Total 159
  744. 31
  745. Table 3. Number of Surveys Used for the Analysis by Country
  746. Region Country Count
  747. East Europe Bulgaria 23
  748. Czech Republic 6
  749. Poland 9
  750. East Europe Total 38
  751. Latin America & Caribbean Argentina 5
  752. Chile 7
  753. Honduras 3
  754. Panama 6
  755. Latin.America & Caribbean Total 21
  756. Middle East Iran 14
  757. Jordan 6
  758. Middle East Total 20
  759. South Asia India 33
  760. Pakistan 30
  761. South Asia Total 41
  762. Sub-Saharan Africa Kenya 8
  763. Nigeria 1
  764. Senegal 2
  765. South Africa 25
  766. Uganda 5
  767. Sub-Saharn Africa Total 39
  768. 16 Country Total 159
  769. Table 4. Question on Cost Impact of Complying with Foreign Standards as a Share in Total
  770. Investment (number of firms)
  771. Share of investment costs 1-10% 11- 26- 51- 76- >100% Total
  772. 25% 50% 75% 100%
  773. Additional plant or 62 32 14 6 3 3 120
  774. equipment
  775. One-time product redesign 70 17 5 3 1 0 96
  776. Product redesign for each 57 15 4 4 0 0 80
  777. market
  778. 32
  779. Table 5. Cost Function Estimation (Fixed Effects: Industry, Country)
  780. Model I Model II Model III Model IV
  781. Parameters (I3SLS) (I3SLS) (I3SLS) (I3SLS)
  782. 0 -0.810 -1.585** 0.031 -1.751
  783. (0.660) (0.804) 0.977 (1.146)
  784. y 0.761*** 1.068*** 1.153*** 1.181***
  785. (0.145) (0.219) 0.309 (0.296)
  786. yy 0.019 -0.040 -0.116** -0.067
  787. (0.018) (0.034) 0.016 (0.041)
  788. L 0.351*** 0.376*** 0.286*** 0.416***
  789. (0.083) (0.087) 0.067 (0.104)
  790. K 0.649*** 0.624*** 0.714*** 0.584***
  791. (0.083) (0.087) 0.067 (0.104)
  792. LL 0.079*** 0.077*** 0.078*** 0.065***
  793. (0.013) (0.013) 0.005 (0.012)
  794. KK 0.079*** 0.077*** 0.078*** 0.065***
  795. (0.013) (0.013) 0.005 (0.012)
  796. LK -0.079*** -0.077*** -0.078*** -0.065***
  797. (0.013) (0.013) 0.005 (0.012)
  798. Ly -0.011 -0.016 0.006 -0.016
  799. (0.011) (0.012) 0.51 (0.014)
  800. Ky 0.011 0.016 -0.006 0.016
  801. (0.011) (0.012) 0.51 (0.014)
  802. s 0.055* -0.254* -0.528** -0.391
  803. (0.031) (0.153) 0.015 (0.257)
  804. ss -0.050** -0.084** -0.079**
  805. (0.025) 0.018 (0.037)
  806. Ls -0.002 -0.024*** -0.016
  807. (0.010) 0.004 (0.014)
  808. Ks 0.002 0.024*** 0.016
  809. (0.010) 0.004 (0.014)
  810. ys 0.058** 0.133*** 0.090**
  811. (0.026) 0.037 (0.036)
  812. D 0.008 0.013 -0.355*** 0.002
  813. (0.113) (0.111) 0.025 (0.172)
  814. Fixed Effects Industry, Country Industry, Country Industry, Country Industry, Country
  815. wL and wkInstrumented yes yes no yes
  816. Standards Redesign and Equipment Redesign and Equipment Redesign and Equipment One-time Redesign
  817. Statistics
  818. N 159 159 159 96
  819. Adjusted R-squared 0.923 0.923 0.873 0.924
  820. Log likelihood -95.435 -92.754 -108.765 -47.915
  821. Note: The adjusted R-squared is computed as one minus the ratio of the residual sum of squares to the total sum of
  822. squares, adjusted by the degrees of freedom. Figures in parentheses are standard errors and coefficients are
  823. significantly different from zero as indicated by *** (1%), ** (5%) and *(10%).
  824. Table 6: Elasticity of Variable Cost with respect to Standards and Scale
  825. Elasticity with Elasticity
  826. respect to evaluated at Model I Model II Model III Model IV
  827. Standards 25 percentile na 0.055 0.207*** 0.142*
  828. (1.473) (4.320) (1.894)
  829. mean 0.055* 0.058* 0.270*** 0.132***
  830. (1.760) (1.765) (6.188) (2.619)
  831. 75 percentile na 0.056 0.325*** 0.146***
  832. (1.436) (6.177) (2.882)
  833. Scale 25 percentile
  834. 0.893*** 0.998*** 0.851*** 0.876***
  835. (21.031) (12.927) (7.785) (13.705)
  836. mean 0.914*** 1.112*** 1.068*** 1.086***
  837. (23.734) (11.217) (7.404) (17.460)
  838. 75 percentile 0.939*** 1.242*** 1.296*** 1.255***
  839. (19.446) (9.609) (6.945) (14.515)
  840. Note: Numbers in parentheses denote asymptotic t-values.
  841. Table 7: Effect of Standards and Technical Regulations on Input Demand
  842. Model I Model II Model III Model IV
  843. Labor Demand
  844. ( Ls) na 0.060 0.299 0.148
  845. Capital Demand
  846. ( Ks) na 0.056 0.240 0.116
  847. Table 8. Estimated Impact on Mean Dollar Variable Costs of One-Percent Increase in
  848. Mean Setup Costs
  849. Model I Model II Model III Model IV
  850. One-percent Increase in $4,250 $4,250 $4,250 $1,620
  851. Mean Setup Costs
  852. Mean Impact $4,998 $5,270 $24,535 $12,904
  853. 34
  854. Table 9: Elasticity of Variable Cost with respect to Standards by Industry
  855. Model Model I Model II Model III Model IV
  856. Machinery and Equipment 0.114** 0.322*** 0.475*** 0.225
  857. (2.000) (3.862) (3.888) (1.409)
  858. Processed Food, Tobacco, Drug, and Liquor -0.004 -0.053 0.077 -0.026
  859. (-0.060) (-0.633) (0.667) (-0.148)
  860. Raw Food 0.018 0.079 0.419*** 0.190
  861. (0.310) (1.175) (4.795) (1.177)
  862. Textiles and Materials 0.058* 0.033 0.236*** 0.124**
  863. (1.740) (0.866) (4.738) (2.214)
  864. Note: Numbers in parentheses denote asymptotic t-values.
  865. Table 10: Substitution Elasticity Estimates
  866. Model I Model II Model III Model IV
  867. Allen Elasticity of
  868. substitution between L and 0.639 0.636 0.627 0.694
  869. K ( KL )
  870. Own elasticity of L ( LL) -1.456 -1.450 -1.404 -1.600
  871. Own elasticity of K ( KK) -0.280 -0.279 -0.280 -0.301
  872. 35

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