Cost Behavior in a Period of Economic Crisis and the Effect of the Frequency of Updating Information on Cost Behavior Wouter van Zuijlen ANR: 959484 Master Thesis Program: Accounting Track: Accountancy Supervisor: Dr. B. Dierynck Second reader: Dr. K. Law Defense date: 18-09-2012 - 2012- Cost Behavior in a Period of Economic Crisis and the Effect of the Frequency of Updating Information on Cost Behavior Abstract In this study I examine the behavior of SG&A costs for a large sample of firms from 21 countries. First, I hypothesize that firms in a crisis period exhibit more symmetric cost behavior compared to firms in a non-crisis period. My results show that both in times of crisis and in non-crisis times, firms exhibit significant asymmetrical SG&A cost behavior. Second, I hypothesize that firms that update their internal information more frequent exhibit more symmetric cost behavior. My results show that, using Compustat data for the interim reporting frequency, firms that update their internal information less frequent exhibit more symmetrical SG&A cost behavior. Using the method of Fu for the interim reporting frequency, firms that update their internal information more frequent exhibit the same asymmetrical SG&A cost behavior as firms that update internal information less frequent. Keywords: Cost asymmetry; Selling, General, and Administrative Costs (SG&A costs); economic crisis; updating information. Data availability: Data is available from the sources mentioned in the text. 2 I. INTRODUCTION The traditional cost model assumes that variable costs change proportionally and symmetrically with changes in activity of a firm. Many studies have examined the empirical validity of this key assumption underlying the traditional cost model (including Noreen and Soderstrom 1997; Anderson et al. 2003; Balakrishnan et al. 2004; Chen et al. 2012; Dierynck et al. 2012). All of these studies found that costs behave asymmetrically instead of symmetrically. Asymmetric cost behavior means that costs increase more with an activity increase than they decrease with an activity decrease. Anderson et al. (2003) find that an increase of one percent in sales results on average in a 0.55 percent increase of Selling, General and Administrative (SG&A) costs, but a decrease of one percent in sales results on average in a 0.35 percent decrease of SG&A costs. They label this type of cost behavior as “sticky”. In this study I examine two topics. First, I will examine whether SG&A costs of firms behave more symmetric in a period of economic crisis compared to a non-crisis period. Second, I examine the effect of the frequency of updating information on cost asymmetry. Mankiw and Reis (2002) demonstrate analytically that firms - on aggregate conditions - infrequently update their information, because it is costly to acquire, absorb, and process information. I expect that the degree of cost stickiness is determined by the frequency by which the firm updates its financial information. I examine my two research questions by using a sample of 77,176 firm-year observations over the period 2001-2010. This sample is constructed by using firms from 21 countries all over the world. Controlling for economic determinants of cost asymmetry as identified in prior research (Anderson et al. 2003; Pinnuck and Lillis 2007; Dierynck et al. 2012), I find that firms, on average, exhibit significant asymmetrical SG&A cost behavior. Specifically, SG&A costs increase with 0.59 percent following a one percent increase in activity and decrease with 0.37 percent following a one percent decrease in activity. My results further show that there is no consistent support for the hypothesis that the crisis leads to more symmetrical SG&A cost behavior. Specifically, both in times of crisis and in non-crisis periods, significant asymmetrical cost behavior is detected. Next, my results do not provide any 3 support for the hypothesis that firms that update their internal information more frequently exhibit symmetric cost behavior. Using Compustat interim reporting frequency data, I show that firms updating their internal information more frequently exhibit more asymmetric SG&A cost behavior. Using interim reporting frequency data following the method of Fu (2012), I show that firms updating their internal information more frequently exhibit the same asymmetrical SG&A cost behavior as firms updating their information less frequent. So, both results are in contrast with my expectations. However, these results do not seem to be entirely robust. Controlling for country effects leads in multiple cases to different results compared to the main results, which indicates that the United States is a very dominant country in obtaining the main results. This study contributes to the existing literature in two ways. First, I test cost stickiness on a large dataset containing observations from countries spread all over the world, both for a period of economic crisis and a non-crisis period. Second, this study also provides some first large-sample evidence with regard to the effect of updating information on cost asymmetry, although the evidence is seriously limited. The remainder of this study paper is organized as follows. Section 2 gives an overview of prior literature, while in section 3 the hypotheses are developed. Section 4 describes the data collection and the research methods used. Section 5 presents the findings and section 6 contains the conclusions of this study. II. LITERATURE OVERVIEW This section provides an overview of all relevant prior literature related to the definition of cost stickiness, to the reasons for cost stickiness and to the determinants of cost stickiness. Cost Stickiness Anderson et al. (2003) mention that the traditional cost model assumes that variable costs change proportionally and symmetrically with changes in the activity driver. Many studies have examined 4 the empirical validity of this key assumption underlying the traditional cost model (including Noreen and Soderstrom 1997; Anderson et al. 2003; Balakrishnan et al. 2004; Chen et al. 2012; Dierynck et al. 2012). All these studies found that costs behave asymmetrically instead of symmetrically. Asymmetric cost behavior means that costs increase more with an activity increase than they decrease with an activity decrease. For instance, if the activity increases with 10% then costs increase with 6.5%, while an activity decrease of 10% leads to a cost decrease of only 3.5%. Anderson et al. (2003) label this type of cost behavior as “sticky”. Prior research focused on behavior of different types of costs. In the study of Noreen and Soderstrom (1997) the overhead costs of service departments of hospitals are investigated. Dierynck et al. (2012) focus on labor costs in Belgian firms. Although several type of costs are examined, most prior research focuses on Selling, General and Administrative (SG&A) costs when determining the stickiness of costs (Anderson et al. 2003; Medeiros and Costa 2004; Chen et al. 2012). Banker and Chen (2006) and Calleja et al. (2006) zoomed in on the behavior of operating costs, which consists of SG&A costs and cost of goods sold. There are several reasons for using SG&A costs as a proxy for costs. First of all, sales volume drives many of the components of SG&A costs (Cooper and Kaplan 1998, 341). A second argument is that SG&A costs are a significant part of sales revenue. For instance in the study of Anderson et al. (2003), SG&A costs make up 26.4% of sales revenue. A final argument for examining SG&A costs is that the ratio of SG&A costs to sales is closely monitored by investors and analysts (Palepu, Healy and Bernard 2000, 9-9). Reasons for Cost Stickiness The main reason for the occurrence of asymmetric cost behavior is that managers make rational decisions with regard to trading off the costs of resource adjustments against the costs of retaining unutilized resources (Anderson et al. 2003; Noreen and Soderstrom 1997). Adjustment costs are costs to reduce or restore committed resources, including severance pay when employees are 5 dismissed in case of an activity decrease, search and training costs to hire new employees when the activity increases, and organizational costs such as the loss of morale among remaining employees when colleagues are fired. The phenomenon of cost stickiness can also arise because managers perceive the costs of downward adjustments to be higher than those of upward adjustments (Anderson et al. 2003; Noreen and Soderstrom 1997). However, in the paper of Anderson & Lanen (2007) it is discussed whether managerial influence is the main reason for cost stickiness. They find no consistency for other types of costs that are also subject to managerial discretion. Economic Determinants of Cost Stickiness Besides managerial intent, prior studies have identified a large number of other factors that affect the degree of cost stickiness. Chen et al. (2012) discuss the influence of the agency problem, which arises as a consequence of misalignment of interests between managers and shareholders. The authors provide convincing evidence that SG&A cost asymmetry is positively associated with managers’ empire building incentives due to the agency problem. Empire building is described as managers’ tendencies to grow the firm beyond its optimal size or to maintain unutilized resources with the purpose of increasing personal utility from status, power, compensation, and prestige. Another finding of Chen et al. (2012) is that good corporate governance mitigates the positive association between the agency problem and cost asymmetry, which suggests that corporate governance mechanisms play an important role in mitigating cost stickiness. Several studies (Anderson et al. 2003; Subramaniam & Weidenmier 2003; Balakrishnan et al. 2004; Calleja et al. 2006) provide evidence that cost behavior is also determined by firm specific characteristics that capture organizational constraints on resource adjustment such as asset intensity and employee intensity. The degree of cost asymmetry increases with the asset intensity and employee intensity, because it is costly to dispose assets and to dismiss employees if the demand drops and it also costly to invest once the demand picks up again. Balakrishnan and Gruca (2008) examine a sample of Canadian hospitals and note that the extent to which a function represents the 6 organization’s core competency influences the stickiness of costs. Their results highlight the importance of considering organizational characteristics when understanding cost behavior. Cost asymmetry is also determined by the timing of the activity decrease. Anderson et al. (2003) for instance find that a successive decrease in revenues is a determinant of cost stickiness. They accumulated evidence that managers’ assessments of the permanence of a demand reduction are likely to get stronger as revenue declines continues. Therefore, managers are likely to consider a revenue decline to be more permanent when it occurs in a second consecutive period of revenue losses, which results in less cost stickiness. In the same study, Anderson et al. (2003) also provide evidence for the conjecture that the economic growth of a firm is a determinant of cost asymmetry. The authors find that managers are less willing to reduce committed resources in periods of macroeconomic growth than in other periods, resulting in more cost asymmetry. The argument for this is that managers consider a revenue decline in a period of macroeconomic growth to be more transitory than a revenue decline in a period of macroeconomic contraction. Pinnuck and Lillis (2007) and Dierynck et al. (2012) focus on the role of an earnings benchmark for cost asymmetry. Pinnuck and Lillis (2007) find that firms that report an accounting loss experience a significantly lower level of investment in employees than firms reporting an accounting profit. This means that when a firm makes a loss in the prior year, they will cut costs which leads to more symmetric cost behavior. Dierynck et al. (2012) examine the influence of incentives to meet or beat the zero earnings benchmark on cost asymmetry of labor costs. The findings are that the presence of these incentives limits the increase in labor costs following an activity increase and that managers are more willing to cut labor costs following an activity decrease, which results in more symmetric cost behavior. In the study of Banker and Chen (2006) the moderating influence of structural factors on the degree of cost asymmetry is investigated. They find that country specific labor market characteristics play a role when determining the degree of stickiness of labor costs. 7 III. HYPOTHESES The Economic Crisis and Cost Stickiness This study focuses on comparing cost stickiness in a period of economic crisis to cost stickiness in a non-crisis period. I expect that the cost stickiness will be lower in a crisis period than in a non-crisis period. First, the economic crisis forces firms to cut costs, as is shown by the European Central Bank (2010). They have conducted a survey among Austrian firms just before (in 2007) and shortly after the heaviest period of the economic crisis (in 2009). This survey signals that during this crisis some 85 percent of companies considered cost cutting a ‘very relevant’ or ‘relevant’ measure in their specific situation, which makes it the most widespread response of enterprises to the crisis. The preference for cost cutting during the economic crisis indicates that the trade-off between adjusting resources and maintaining unutilized resources is more likely to be solved in favor of adjusting the resources. This cost cutting strategy during the economic crisis results in the expectation that in such a period cost stickiness will decrease. Further, it is argued that in a period of economic crisis the maturity of contracts of the firm decreases, because firms try to avoid long-term commitment to costs. For instance, Caggese and Cunat (2008) provide evidence that financially constrained firms use fixed-term workers more intensely and make them absorb a larger fraction of the total employment volatility than financially unconstrained firms do. The use of fixed-term contracts in a period of an economic crisis is expected to result in less cost stickiness, because it is less costly to dismiss these employees and thus less unutilized employees are maintained. This results in the following hypothesis: H1: firms exhibit less cost stickiness in a period of economic crisis than in a non-crisis period. Interim Reporting Frequency and Cost Stickiness Besides examining the overall behavior of costs in a period of economic crisis, this study also focuses on the effect of the frequency of updating information on costs. Mankiw and Reis (2002) demonstrate analytically that firms - on aggregate conditions - infrequently update their information, 8 because it is costly to acquire, absorb, and process information. I expect that the degree of cost stickiness is determined by the frequency by which the firm updates its financial information. In this study I will use the frequency of interim financial reporting to measure the frequency with which firms are updating their information about costs and revenues. Empirical evidence on interim reporting frequency is relatively scarce. Fu (2012) suggests that the difficulty of gathering a sample of firms that exhibit cross-sectional or time-series variation in interim reporting frequency causes this scarceness. The study of Butler et al. (2007) shows that there is little evidence to support the claim that regulation forcing firms to report more frequently improves earnings timeliness; information in annual earnings is impounded into share price more quickly for voluntary switches from semiannual reporting to quarterly reporting, but not for mandatory switches. Fu (2012) examines the effect of an increase of mandatory interim financial reporting on the cost of equity. Overall, his evidence strongly suggests that the mandatory increase in interim reporting frequency reduces the cost of equity. There are also some studies that have focused on the effect of an increase of mandatory interim reporting on information aspects. Cuijpers & Peek (2010) examine voluntary quarterly reporting in the U.K., the Netherlands, and Denmark, where only semiannual reporting is required. They find that an increase in a firm's financial reporting frequency reduces investors' incentives to acquire private information, and consequently reduces information asymmetry among investors. Fu et al. (2011) find that more frequent interim reporting is associated with lower levels of information asymmetry because it increases the amount of information available to the public. Fu (2012) also mentions that more information is brought to the market after the mandatory switch from semiannually to quarterly interim reporting. To summarize, prior research indicates that more information is available to external parties when the frequency of interim reporting increases. The relationship between the frequency of updating information and the provision of information to external parties can be explained in two steps. First, managers are instigated to take more timely decisions if internal information is updated more often. Chenhall and Morris (1986) 9 state that the ability of a manager to respond quickly to events is likely to be influenced by the timeliness of the Management Accounting System (hereafter, MAS). They specify timeliness in terms of the provision of information on request and the frequency of reporting systematically collected information, and state that timely information enhances the facility of MAS to report upon the most recent events. This indicates that managers are able to respond quickly to events if the information is timely. However, it does not tell whether they actually will respond quickly if information is updated more often. Chia (1995) does provide this evidence: she finds that timely information is positively related to the performance of managers. This means that when information is updated more often, managers are really instigated to actually respond quickly, because managers that have more timely information perform better. So, this better performance must be due to a quicker response. The second step is that there is a link between the MAS and the financial reporting system. Joseph et al. (1996) find that in practice the relation between financial reporting requirements and managerial decision making is, if anything, getting stronger and more explicit. Hemmer and Labro (2008) explore the optimal relation between financial reporting systems and the quality of management accounting information systems in an economic model where information is (potentially) useful for both decision making and control. They provide an explicit and significant connection between exogenous and observable properties of a firm’s financial reporting system and the quality of the managerial accounting system on which manager(s) base real economic decisions. As more frequent updated information is more timely, this means that more timely internal information is linked to more timely external information. So, via these two steps I motivate that updating internal information more often leads to more timely decisions, both internally and externally. Because information is more timely, less cost stickiness is expected; Anderson et al. (2003) note that waiting to obtain information leads to sticky costs because unutilized resources are maintained. This expectation is reflected in the following hypothesis: H2: firms updating their information more frequent exhibit less cost stickiness than firms updating their information less frequent. 10 IV. METHOD Sample Selection I focus on a sample that covers the years 2001 through 2010. The years 2008, 2009, and 2010 are marked as crisis-years; all earlier years are considered non-crisis-years. To examine my two hypotheses, data about SG&A costs and sales are needed. Also, data about other financial variables, which will be explained in the model-specification section, are needed. I collected these data from the Compustat Global and Compustat North-America databases. To construct my economic growthvariable, I used data from The Worldbank.1 The sample contains firms located in the United States and Canada, the European countries Austria, Belgium, Denmark, Finland, France, Germany, Ireland, Italy, Luxembourg, Portugal, The Netherlands, Spain, Sweden, and the United Kingdom, the Asian countries Japan, Hong Kong, and Singapore, and the Oceanic countries Australia and New Zealand. The United States and Canada are two leading countries that require firms to report every quarter, while almost all firms in European countries are mandated to report only semi-annually in my sample period. Fu (2012) mentions that some firms in Germany, Portugal and Sweden are exceptions to this; listed firms and firms of a certain size have to report quarterly.2 Firms located in Japan, Hong Kong, Singapore, Australia, and New Zealand are also examined in order to construct a worldwide sample. In Hong Kong, Australia, and New Zealand, semi-annual interim reporting is mandatory during my sample period. Fu (2012) notes that since 2003, Singapore has mandated quarterly reporting for firms with a market capitalization of more than 75 million Singapore dollars (about US$ 58,3 million); all other firms 1 Source: data.worldbank.org. I used nominal Gross National Income (GNI, Atlas method) and Consumer Price Index (CPI) in each year for all countries in order to calculate the real growth in GNI. 2 In Germany, firms listed in the primary standard (called “new market before 2000”) of its largest stock exchange (Deutsche Börse) have to report quarterly; for all other firms only semi-annual interim reporting is mandatory. In Portugal, firms that satisfy conditions related to firm size are mandated to provide quarterly interim reporting; for all other firms only semi-annual interim reporting is mandatory (see Fu, 2012). In Sweden, quarterly interim reporting is mandated for firms listed on the Stockholm Stock Exchange; for all other firms only semi-annual interim reporting is mandatory. These reporting requirements for Germany, Portugal and Sweden apply in my whole sample period. 11 report semi-annually. Before, all firms reported semi-annually. Fu (2012) states that in Japan, the Tokyo stock exchange has mandated quarterly reporting since March 2004, while other stock exchanges such as the Jasdaq Securities Exchange retained the semiannual reporting requirement until 2007. Since April 2008, all listed firms in Japan have had to report quarterly. Table 1, Panel A, describes how the final sample is constructed. Based on prior research (Anderson et al. 2003; Chen et al. 2012; Dierynck et al. 2012) I require SG&A costs and sales revenues to be available in the current year and previous year. Observations with missing data on either sales revenue or SG&A costs for the current or preceding year are deleted. Further, observations with missing data on other variables are omitted. Next, I require SG&A costs to be smaller than sales. Finally, following Chen et al. (2012), I trim the top and the bottom 0.5% of the observations with extreme values in the change of SG&A costs and change of sales revenue. These sample selection procedures result in a final sample that consists of 77.176 firm-year observations between 2001 and 2010. Table 1, Panel B presents the distribution of the firm-year observations over the countries for the sample of firms providing quarterly interim reporting and firms providing semi-annual interim reporting (both for the Compustat data and Fu-method, which will be explained later on). This distribution is provided on a yearly basis. Insert Table 1 about here Model Specification and Variable Definitions Asymmetry of SG&A Costs I test cost asymmetry by using both a basic and an extended model. The basic model is identical to the first model of Anderson et al. (2003) and is given by equation (1): 12 SG&Ait denotes selling, general and administrative costs of firm i in year t, Salesit are sales revenues, and Decrease_Dummyit is an indicator variable set equal to one when sales in year t are smaller than sales in year t-1, and 0 otherwise. Because the value of Decrease_Dummy is 0 when revenue increases, the coefficient β1 measures the percentage increase in SG&A costs for a one percent increase in sales. Because the value of Decrease_Dummy is one when revenue decreases, the sum of β1 and β2 measures the percentage decrease in SG&A costs for a one percent decrease in sales. Based on prior literature, my expectations are that β1 will be positive, β2 will be negative and the absolute value of β1 will be greater than the absolute value of β2. This would indicate that SG&A costs are sticky. Compared to the basic model, the extended model given by equation (2) includes controls for economic determinants of cost asymmetry as identified earlier in this study. These controls are based on prior research (Anderson et al. 2003; Pinnuck and Lillis 2007; Dierynck et al. 2012). 13 Successive_Decrease equals one if sales have decreased in two consecutive years (i.e., sales t-2 > salest-1 > salest), and zero otherwise. Employee_Intensity is the ratio of total number of employees over sales, while Asset_intensity is the ratio of total assets over sales. Economic_Growth is growth in real GNI in year t. Loss_Prior_Year indicates whether the firm reported a loss in the prior year, or not. All other variables are as previously defined. Cost Asymmetry and Economic Crisis (Hypothesis 1) I use two approaches to investigate whether “economic-crisis-observations” exhibit a lower degree of SG&A cost asymmetry than “non-crisis-observations”. First, I add to equation (2) an indicator variable, Ecrisis_Dummy, which is set equal to one if year t is a year of economic crisis, and 0 if not, and include two-way (Log(Salesit/Salesit-1)*Ecrisis_Dummy) and three-way (Decrease_Dummyit *Log(Salesit/Salesit-1)*Ecrisis_Dummy) interaction terms. This enables these equations to be estimated using the whole sample while enabling coefficients to differ for observations in times of economic crisis and observations in non-crisis times. Specifically, the two-way interaction term reflects the difference in SG&A cost increase following an activity increase of firms that are in economic crisis relative to non-crisis firms. If it equals for instance -0,08, this means that the increase in SG&A cost for an activity increase is 8% lower for firms that are in a period of economic crisis relative to firms that are in a non-crisis period (for an equal activity increase). The three-way interaction term represents the difference in SG&A cost decrease following an activity decrease of firms that are in economic crisis relative to non-crisis firms. If it equals for instance 0,08, this means that the decrease in SG&A cost for an activity decrease is 8% higher for firms that are in a period of economic crisis relative to firms that are in a non-crisis period (for an equal activity decrease). For the first hypothesis, I expect that SG&A costs are less sticky in a crisis period compared to a non-crisis period, which results in the expectation that β3 will be significantly negative and β4 will be significantly positive. 14 Second, I make use of split-sample regressions, which means that the basic and extended model are separately estimated for the non-crisis (years 2001-2007) and crisis (2008-2010) sample. I predict that firms that are in economic crisis exhibit less cost asymmetry than firms that are not in economic crisis. Relative to non-crisis observations, I expect β1 to be smaller and β2 to be less negative for crisis observations. Reasons for these expectations are that the economic crisis forces firms to cut costs and that the maturity of contracts decreases, which lead to lower cost asymmetry. Cost Asymmetry and Interim Financial Reporting (Hypothesis 2) I use the same two approaches to investigate whether firms that report quarterly exhibit a lower degree of SG&A cost asymmetry than semi-annual reporters. First, instead of using Ecrisis_Dummy in equation (2) as an indicator variable, I use Ifr_Dummy, which is set equal to one if a firm in year t is mandated to provide quarterly interim financial reporting, and 0 if semi-annual interim financial reporting is mandated. I then include two-way (Log(Salesit/Salesit-1)*Ifr_Dummy) and three-way (Decrease_Dummyit *Log(Salesit/Salesit-1)*Ifr_Dummy) interaction terms. The two-way interaction term reflects the difference in SG&A cost increase following an activity increase of firms reporting quarterly relative to firms reporting semi-annually. If it equals for instance -0,08, this means that the increase in SG&A costs for an activity increase is 8% lower for firms reporting quarterly relative to firms reporting semi-annually (for an equal activity increase). The three-way interaction term represents the difference in SG&A cost decrease following an activity decrease of firms providing quarterly interim reporting relative to firms providing interim reporting semi-annually. If it equals for instance 0,08, this means that the decrease in SG&A costs for an activity decrease is 8% higher for firms reporting quarterly compared to firms reporting semi-annually (for an equal activity decrease). For the second hypothesis, I expect that firms experience less sticky SG&A costs when they update their internal information more frequent, which results in the expectation that β3 will be significantly negative and β4 will be significantly positive. 15 Second, I again make use of split-sample regressions, so the basic and extended model are separately estimated for firms reporting quarterly and firms reporting semi-annually. I predict that firms that provide more frequent interim reporting update their internal information more often, which leads to quicker responses by managers; lower cost asymmetry is expected for quarterly reporters. Therefore, relative to semi-annual observations, I expect β1 to be smaller and β2 to be less negative for firms reporting quarterly. V. RESULTS Descriptive Results The descriptive statistics for the different subsamples are presented in Table 2. The focus is on the descriptive statistics of six subsamples: the economic crisis sample and the non crisis-sample, the quarterly interim reporting sample and the semi-annual interim reporting sample using Compustat data, and the quarterly interim reporting sample and the semi-annual interim reporting sample using data based on the method of Fu. On average, the sales revenues of the semi-annual interim reporting sample using Compustat data ($199,000,000,000) are enormous compared to the quarterly interim reporting sample using Compustat data ($4,285,665,730). This is due to the presence of huge Japanese firms in the semi-annual reporting sample. Also the SG&A costs for the semi-annual interim reporting sample ($31,972,526,070) are extremely high compared to quarterly interim reporting sample ($682,729,310). The dispersion in the average ratio of SG&A costs to sales is small: all samples have a ratio between 21 and 28 percent. These high percentages indicate that SG&A costs are a very significant cost category for firms. The number of employees and the beginning total assets of the firm give an indication about the size of the firms in the different subsamples. Based on the number of employees, the largest firms are in the quarterly interim reporting sample using data based on the method of Fu (12.099 employees) and in the quarterly interim reporting sample using Compustat data (11.282). Based on the beginning total assets, the largest firms are in the semiannual interim reporting sample using Compustat data ($207,000,000,000). The gigantic Japanese 16 firms are present in this sample. The economic crisis sample has the highest probability of a decrease in sales (42 percent), as well as the highest probability of a successive decrease in sales revenue (20 percent). Especially in the case of a decrease in sales, this result is very significant compared to the other samples. Insert Table 2 about here Hypothesis Tests Asymmetry of SG&A Costs Column I and II of Table 3 present the regression summary statistics for the basic and extended models, Equations (1) and (2), for the full sample consisting of 77,176 firm-year observations. The results of the basic model show significant SG&A cost asymmetry with β1 equal to 0.59 (t = 130.722) and β2 equal to -0.14 (t = -15.993). After controlling for economic determinants of cost asymmetry by using the extended model, SG&A costs keep behaving significantly asymmetrical (β1 = 0.59, t = 128.701; β2 = -0.22, t = -19.209). This means that an increase in sales revenues of one percent leads to an increase in SG&A costs of 0.60 percent, while a decrease in sales revenues of one percent results in a decrease in SG&A costs of 0.37 percent. Insert Table 3 about here In the extended model, the control variable successive decrease is significant (β5 = 0,10; t = 7.418). It shows that firms with a revenue decline in a second consecutive period exhibit lower SG&A cost stickiness. This is in line with the view that managers adjust their behavior to this news of declining revenue, as they are more likely to consider this to be more permanent. 17 Cost Asymmetry and Economic Crisis One important prediction in this study is that firms exhibit a lower degree of SG&A cost asymmetry in times of economic crisis than in a non-crisis period. In other words, I expect that so called “crisisobservations” will exhibit a smaller SG&A cost increase following an activity increase and a larger SG&A cost decrease following an activity decrease. Table 3, Column III, present findings from the first test of this hypothesis, which is based on estimating Equation (2) including the crisis indicator variable and the corresponding interaction terms. Consistent with my prediction, I find a negative coefficient on the two-way interaction term (β3 = -0.03; t =-2.927). So, in comparison to firms that are not in times of economic crisis, the SG&A cost increase of crisis firms for a one percent increase in sales is 0.03 percent smaller. The three-way interaction term, β4, shows that the decrease in SG&A cost following an activity decrease is not higher for crisis-firms compared to non-crisis firms (β4 = 0.00; t = 0.043), which is inconsistent with my prediction. Table 4 presents the result for my split sample tests. These tests are conducted by estimating the basic and extended models separately for the crisis and non-crisis observations. Findings for the non-crisis observations are similar to those of the full sample. In other words, I find strong evidence for asymmetric cost behavior of non-crisis observations for the basic model (β1 = 0.60, t = 119.966; β2 = -0.12, t = -11.103) as well as for the extended model (β1 = 0.60, t = 117.014; β2 = -0.23, t = -14.041). However, the crisis observations show nearly the same asymmetrical behavior, both for the basic model (β1 = 0.56, t = 64.155; β2 = -0.14, t = -9.428) as well as for the extended model (β1 = 0.57, t = 63.619; β2 = -0.22, t = -11.847), which is in contrast with my prediction. I predicted that crisis observations would show more symmetric behavior compared to non-crisis observations. Taken together, the results for the split-sample regressions provide no support for the hypothesis that firms exhibit more symmetric cost behavior in a crisis period compared to a non-crisis period. Insert Table 4 about here 18 Overall, the findings in Table 3 and 4 do not provide consistent support for my first hypothesis that crisis observations exhibit more symmetrical SG&A cost behavior compared to non-crisis observations. I do find a negative coefficient on the two-way crisis interaction term in column III of Table 3. All other findings in Table 3 and 4 show that the degree of cost asymmetry is not significantly different for crisis observations and non-crisis observations; both in times of crisis and in non-crisis periods, asymmetrical cost behavior is detected. Cost Asymmetry and Updating Information The second important prediction in this study is that firms that update their internal information system more frequent exhibit a lower degree of SG&A cost asymmetry. The frequency of updating internal information is measured by the frequency of interim financial reporting. More specifically, I expect that firms that report every quarter exhibit a smaller SG&A cost increase following an activity increase and a larger SG&A cost decrease following an activity decrease, compared to firms reporting semi-annually. My results concerning this hypothesis are based on two sources. In the first place, the both Compustat-databases provide data about the reporting periodicity of a firm. In other words, these data should represent how often a firm provides interim financial reporting. However, this source seems to be not totally reliable. For instance, Fu (2012) mentions that since April 2008, all listed firms in Japan are mandated to report quarterly. This is in contrast with the data that Compustat provides, because Compustat states all Japanese firms in my sample report semi-annually.3 Because I question the correctness of all the data Compustat provides, I use a second method of distinguishing semiannual and quarterly reporting firms. This method comes down to following Fu’s (2012) requirements for the countries in my sample, and manually determine the interim reporting 3 I have tested the reporting periodicity (RP) variable that Compustat provides by investigating some major Japanese listed firms in my sample. The websites of Nippon Telegraph & Telephone (NTT), Mitsubishi Corporation, Nippon Steel Corporation (NSC), Nissan Motors, and Fujitsu Limited all show that they, in contrast to what Compustat shows, report quarterly. 19 frequency based on these requirements. Unfortunately, it is not possible to include Japan in the sample; the high number of observations in Japan makes it impossible to manually determine the interim reporting frequency for each individual firm. This is a severe limitation, because Japan is an important country in my sample, also for its changes in interim reporting regime over the years. Table 5, column I, presents findings from the hypothesis test using interim reporting frequency-data from Compustat. This is based on estimating Equation (2) including the interim financial reporting frequency and corresponding interaction terms. In contrast with my predictions, I find a positive coefficient on the two-way interaction term (β3 = 0.03; t = 2.845) and a significantly negative coefficient on the three-way interaction term (β4 = -0.08; t = -3.973). This indicates that the SG&A cost increase of firms reporting quarterly for a one percent increase in sales is 0.03 percent larger compared to firms reporting semi-annually, and that the SG&A cost decrease of firms reporting quarterly for a one percent decrease in sales is 0.08 percent smaller compared to firms reporting semi-annually. Insert Table 5 about here Table 6 presents the result for my split sample tests based on Compustat interim reporting frequency data. These tests are conducted by estimating the basic and extended models separately for the quarterly- and semi-annual-reporting observations. I find strong evidence for asymmetric cost behavior of quarterly reporting observations for the basic model (β1 = 0.58, t = 96.066; β2 = -0.14, t = -12.406) as well as the extended model (β1 = 0.58, t = 94.832; β2 = -0.24, t = -15.227). The semiannual reporting observations exhibit far less asymmetric SG&A cost behavior for the basic model (β1 = 0.56, t = 88.078; β2 = -0.03, t = -3.048) and for the extended model (β1 = 0.55, t = 86.522; β2 = -0.15, t = -10.110). This is inconsistent with my predictions; I expected that quarterly reporting firms would exhibit more symmetric behavior compared to semi-annual reporting firms. Taken together, results for the split-sample regressions reject my hypothesis, because firms updating their internal 20 information less exhibit more symmetric SG&A cost behavior compared to firms updating internal information more frequent. Insert Table 6 about here Table 5, column II, presents findings from the hypothesis test using interim reporting frequency-data from the Fu-method. I find a very small negative coefficient on the two-way interaction term (β3 = -0.01; t = -0.564), but this coefficient is far from significant. On the three-way interaction term, I find a very small positive coefficient (β4 = -0.01; t = 0.470), but again this coefficient is insignificant. This means my predictions are not supported, because the difference in SG&A cost increase between firms reporting quarterly and firms reporting for a one percent increase in sales is close to zero. The same holds for the difference in SG&A cost decrease between quarterly- and semi-annual reporters for a one percent activity decrease: it is close to zero. So, these results provide no basis to think that quarterly reporters exhibit more symmetric SG&A cost behavior. Table 7 presents the result for my split sample tests based on interim reporting frequency data following the method of Fu. Again, the basic and extended models are separately estimated for the quarterly and semi-annual reporting observations. I find evidence for asymmetric cost behavior of quarterly reporting observations for the basic model (β1 = 0.59, t = 108.808; β2 = -0.16, t = -15.486) as well as the extended model (β1 = 0.60, t = 109.755; β2 = -0.28, t = -20.602). The semi-annual observations exhibit the same asymmetrical SG&A cost behavior for the basic model (β1 = 0.60, t = 27.514; β2 = -0.18, t = -4.510) and for the extended model (β1 = 0.61, t = 27.170; β2 = -0.30, t = -5.649). This is inconsistent with my predictions; my prediction was that quarterly reporting firms would exhibit more symmetric behavior compared to semi-annual reporting firms, but the split-sample shows that more frequent updating of internal information has no influence on SG&A cost behavior. 21 Taken together, results for the split-sample regressions reject my hypothesis, because firms updating internal information less frequent exhibit less asymmetric SG&A cost behavior compared to firms updating internal information more frequent. Insert Table 7 about here Overall, the findings in Table 5, 6, and 7 do not provide any support for my hypothesis that firms that update their internal information more frequently exhibit less asymmetric cost behavior. Using Compustat interim reporting frequency data, Table 5, column I, and Table 6 show that firms updating their internal information more frequently exhibit more asymmetric SG&A cost behavior. Using interim reporting frequency data following the method of Fu, Table 5, column II, and Table 7 show that firms updating their internal information more frequently exhibit the same asymmetrical SG&A cost behavior as firms updating their information less frequent. Robustness Check In this section, I perform some additional testing to determine the sensitivity of my findings regarding asymmetry of SG&A costs in general, as well as the influence of the crisis and the influence of the frequency of updating information on asymmetry of SG&A costs. I do this by using country dummies, which control for possible country effects. A country dummy is set equal to one if an observation belongs to country X, and all observations belonging to other countries are set equal to 0. This is done for all countries in my sample. The United States serves as base level and are therefore not taken into consideration. Table 8 presents the results of the extended models. These results are after controlling for economic determinants of cost asymmetry and controlling for country effects. The results show significant asymmetrical SG&A cost behavior for the extended model with Ecrisis_Dummy (β1 = 0.58, t = 56.175; β2 = -0.23, t = -8.949) as well for the extended models with Ifr_Dummy (Compustat: β1 = 22 0.55, t = 49.207; β2 = -0.15, t = -6.508 and Fu: β1 = 0.60, t = 29.904; β2 = -0.27, t = -5.915). This is very similar to the SG&A cost behavior detected in the main results. Further, the extended model with Ecrisis_Dummy shows that the SG&A cost increase of crisis firms is smaller compared to non-crisis firms (β3 = -0.03, t = -2.781) and that the SG&A cost decrease of crisis firms is higher (β4 = 0.04, t = 1.516). This is slightly different from the main results, where there was no difference detected in the decrease in SG&A costs between crisis and non-crisis firms. Next, the extended model with Ifr_Dummy using Compustat data shows that the SG&A cost increase is higher for firms reporting quarterly relative to firms reporting semi-annually (β3 = 0.03, t = 1.626) and that the SG&A cost decrease is lower for firms reporting quarterly compared to firms reporting semi-annually (β4 = -0.13, t = -4.258). This differs from the main results, where the difference in SG&A cost decrease between semi-annual and quarterly reporting firms was far less pronounced. Finally, the extended model with Ifr_Dummy applying Fu’s method shows that the SG&A cost increase is lower for firms reporting quarterly compared to firms reporting semi-annually (β3 = -0.11, t = -2.958) and that the SG&A cost decrease is higher for firms reporting quarterly relative to firms reporting semi-annually (β4 = 0.10, t = 4.493). This is totally different from the main results, which provided no evidence that there is a significant difference in SG&A cost asymmetry between semi-annual and quarterly reporting firms. In summary, the main results do not seem to be entirely robust. Controlling for country effects leads in multiple cases to different results compared to the main results reported earlier, which indicates that the United States is a very dominant country in obtaining the main results. Especially in the extended model with Ifr_Dummy applying Fu’s method, controlling for country effects leads to results that are significantly different from the main findings. The results of the extended model with Ifr_Dummy using Compustat data differ less from the main results, possibly because Japan is present in that sample but not in the sample using Fu’s method. Insert Table 8 about here 23 VI. CONCLUSION In this study I examine whether SG&A costs of firms behave more symmetric in times of economic crisis (2008-2010) compared to a non-crisis period (2001-2007). To do so, I constructed a sample that consists of countries spread all over the world. My results do not provide consistent support for this hypothesis; they show that the degree of cost asymmetry is not significantly different for crisis observations and non-crisis observations. That is, firms exhibit asymmetrical cost behavior both in times of crisis and in non-crisis periods. Second, I examine the effect of the frequency of updating internal information on SG&A cost asymmetry, by looking at firms’ interim reporting frequency. My findings do not provide any support for this hypothesis. Using Compustat interim reporting frequency data, I find that firms updating their internal information more frequently exhibit more asymmetric SG&A cost behavior. Using interim reporting frequency data following the method of Fu, I find that firms updating their internal information more frequently exhibit the same asymmetrical SG&A cost behavior as firms updating their information less frequent. For both hypotheses, the results do not meet my predictions. I do not have a proper explanation for why the crisis-hypothesis has not led to the expected result. I do have some possible arguments for why the hypothesis concerning the updating of internal information has not led to the expected result. With regard to the Compustat data, I question whether these data are proper and reliable, especially for Japan. The database mentions that all Japanese firms report semi-annually in my sample period, which is not in accordance with the requirements of Fu. Japan has the largest firms in the sample and often these firms report quarterly, so the effect of updating information on cost asymmetry might have shifted from the quarterly reporting sample to the semi-annual reporting sample. This would explain why the semi-annual sample, where Japanese firms are a big part of the total sample, exhibits far less asymmetric SG&A behavior. With regard to the data following the Fu method, the lack of significance might also be explained by Japan, because Japan is excluded there. 24 Also, the robustness check shows that the main results are not entirely robust. Controlling for country effects leads in multiple cases to different results compared to the main results, which indicates that the United States is a very dominant country in the obtaining the main results. So, the results would have been different if no country effects were present. This study contributes to the existing literature in two ways. First, I test cost stickiness on a large dataset containing observations from countries spread all over the world, both for a period of economic crisis and a non-crisis period. Second, this study also provides some first large-sample evidence with regard to the effect of updating information on cost asymmetry, although the evidence is seriously limited. The limitation arises from the problems of determining the interim reporting frequency of firms. I question the correctness of the output of Compustat, and applying Fu’s interim reporting requirements has many limitations. To start, here, Japan is excluded from the sample. This is a very important country in my study, looking at the number of observations and the changes in interim reporting requirements within my sample period. Also, the method of Fu does not make a distinction for large firms voluntarily reporting more frequent than mandated; some European multinationals choose to report quarterly, while only semi-annual reporting is mandated. Next, there are limitations regarding the interim reporting frequency of firms in Sweden, Singapore, and Portugal. For firms reporting in these countries there was a lack of data, which forced me to use outdated information. This might lead to errors in the interim reporting frequency of firms. Future research using exact interim reporting frequency-data will give more precise results and will be far less limited. A final limitation is that SG&A costs are not finely disaggregated. The use of these aggregated data makes it difficult to infer which components of SG&A costs behave asymmetrically. 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Additional evidence on the sticky behavior of costs. Working Paper, Texas Christian University. 29 TABLE 1 Sample selection PANEL A: Full Sample Number of Firm-Years Potential sample 188,631 Less: Observations with missing data on either sales revenue or SG&A costs for the current or preceding year (83,493) Less: Observations with missing data on other variables (21,770) Less: Observations for which SG&A costs exceed sales revenue for the current year (4,610) Less: Trim top and bottom of change in sales and change in SG&A costs at 0.5% level (1,582) Final sample 77,176 30 PANEL B: Distribution of Firm-Year Observations over Sample-Years and over Quarterly and Semi-Annual Reporting Conform Compustat Quarterly interim reporting: Australia Austria Belgium Canada Denmark Finland France Hong Kong Ireland Italy Luxembourg The Netherlands New-Zealand Spain United Kingdom the United States Germany Portugal Singapore Sweden 2001 3 0 0 95 0 0 1 1 0 0 0 1 0 0 2 2.872 0 0 0 0 2.975 2002 5 0 0 99 0 0 1 1 0 0 0 1 1 0 1 3.072 0 0 0 0 3.181 2003 11 0 0 99 1 0 3 2 0 0 0 1 0 1 5 3.272 0 1 7 1 3.404 2004 9 6 6 170 20 11 51 6 3 2 5 18 0 2 21 3.454 114 0 69 71 4.038 2005 14 4 8 260 18 11 37 26 9 2 7 20 1 2 145 3.590 34 1 33 69 4.291 2006 241 27 37 314 46 49 91 139 25 23 10 47 26 19 618 3.719 198 7 83 72 5.791 2007 230 36 42 378 47 61 85 157 28 24 10 48 23 23 717 3.862 219 7 87 85 6.169 2008 211 39 44 409 56 83 77 186 27 41 10 56 23 31 742 3.911 228 12 75 79 6.340 2009 195 34 48 419 56 79 81 194 30 42 12 57 24 26 767 3.999 180 15 91 101 6.450 2010 199 37 47 429 58 72 139 250 33 30 12 57 19 28 786 4.128 248 19 81 105 6.777 Total 1.118 183 232 2.672 302 366 566 962 155 164 66 306 117 132 3.804 35.879 1.221 62 526 583 49.416 2001 2 4 6 0 15 8 29 13 17 1 1.941 5 16 0 297 81 92 1 80 50 2.658 2002 14 8 9 0 20 8 42 30 16 1 2.134 6 17 1 316 79 116 0 132 69 3.018 2003 42 6 10 0 23 10 47 49 19 2 2.211 7 20 0 336 52 121 0 172 74 3.201 2004 44 1 6 0 3 0 4 51 15 0 2.304 1 7 0 314 45 9 0 137 0 2.941 2005 0 2 1 0 1 0 2 31 0 0 2.404 0 2 0 23 44 3 1 44 1 2.559 2006 3 0 0 0 1 0 1 14 3 0 2.472 0 0 1 11 55 3 0 5 1 2.570 2007 1 0 1 0 0 0 1 0 2 0 2.599 0 0 0 1 57 2 0 1 1 2.666 2008 0 1 2 1 0 0 0 0 2 0 2.630 0 0 0 0 45 4 0 0 2 2.687 2009 0 0 1 0 1 0 1 0 1 0 2.638 0 0 0 4 69 3 0 0 1 2.719 2010 2 0 1 0 1 0 7 1 2 0 2.661 0 0 0 4 58 1 0 2 0 2.740 Total 108 22 37 1 65 26 134 189 77 4 23.994 19 62 2 1.306 585 354 2 573 199 27.759 Semi-annual interim reporting: Australia Austria Belgium Canada Denmark Finland France Hong Kong Ireland Italy Japan Luxembourg The Netherlands Spain United Kingdom the United States Germany Portugal Singapore Sweden 31 Conform Fu-method Quarterly interim reporting: Canada the United States Germany Portugal Singapore Sweden 2001 95 2.953 26 0 0 49 3.123 2002 99 3.151 33 0 0 65 3.348 2003 99 3.324 40 1 58 70 3.592 2004 170 3.499 43 0 96 67 3.875 2005 260 3.634 23 1 33 65 4.016 2006 314 3.774 76 7 42 66 4.279 2007 378 3.919 87 7 55 79 4.525 2008 410 3.956 90 12 48 77 4.593 2009 419 4.068 84 15 45 94 4.725 2010 429 4.186 107 19 45 98 4.884 Total 2.673 36.464 609 62 422 730 40.960 2001 5 4 6 15 8 30 14 17 1 5 17 0 0 299 66 1 80 1 569 2002 19 8 9 20 8 43 31 16 1 6 18 1 1 317 83 0 132 4 717 2003 53 6 10 24 10 50 51 19 2 7 22 0 1 341 81 0 121 5 803 2004 53 7 12 23 11 55 57 18 2 6 25 0 2 335 80 0 110 4 800 2005 14 6 9 19 11 39 57 9 2 7 22 1 2 168 14 1 44 5 430 2006 244 27 37 47 49 92 153 28 23 10 47 26 20 629 125 0 46 7 1.610 2007 231 36 43 47 61 86 157 30 24 10 48 23 23 718 134 0 33 7 1.711 2008 211 40 46 56 83 77 186 29 41 10 56 23 31 742 142 0 27 4 1.804 2009 195 34 49 57 79 82 194 31 42 12 57 24 26 771 99 0 46 8 1.806 2010 201 37 48 59 72 146 251 35 30 12 57 19 28 790 142 0 38 7 1.972 Total 1.226 205 269 367 392 700 1.151 232 168 85 369 117 134 5.110 966 2 677 52 12.222 Semi-annual interim reporting: Australia Austria Belgium Denmark Finland France Hong Kong Ireland Italy Luxembourg The Netherlands New-Zealand Spain United Kingdom Germany Portugal Singapore Sweden Notes: * I label ‘quarterly reporting’ firm years as those reporting four times per year. ‘Semi-annual reporting’ firm- years are those firm-years for which financial information is reported two times per year. * The years 2001 through 2007 are marked as ‘non-crisis years’; the years 2008 through 2010 are marked as ‘crisis years’. 32 TABLE 2 Sample Descriptive Statistics Variable Sales (in $000) SGA (in $000) Change_Sales (in $000) Change_SGA (in $000) Relative_Change_Sales (in %) Relative_Change_SG&A (in %) SG&A / Sales (in %) Number of emp Beginning Total Assets (in $000) Decline observations Successive decrease mean median std dev mean median std dev mean median std dev mean median std dev mean median std dev mean median std dev mean median std dev mean median std dev mean median std dev mean median std dev mean median std dev Full sample Non-crisis sample Crisis sample 74.465.040,13 1.157.600,00 547.500.000,00 11.940.017,81 200.372,50 84.025.826,26 1.386.586,88 12.082,00 69.513.820,08 189.449,56 2.310,00 8.024.338,91 3,15 2,68 31,57 0,59 0,35 8,32 0,25 0,21 0,38 9.412,36 996,00 39.654,21 80.789.360,09 1.620.413,50 612.000.000,00 0,29 0,00 0,45 0,13 0,00 0,34 78.067.652,73 1.199.373,00 564.400.000,00 12.402.520,40 207.983,00 85.916.949,70 4.189.547,05 25.511,50 51.482.517,03 437.029,20 4.056,00 7.592.467,62 5,62 3,97 29,91 1,00 0,50 8,20 0,25 0,21 0,19 9.261,56 992,00 39.387,38 83.473.766,40 1.639.157,00 604.800.000,00 0,22 0,00 0,41 0,10 0,00 0,30 68.034.756,25 1.084.505,50 515.900.000,00 11.114.529,21 185.803,00 80.535.136,53 -3.327.036,16 1.097,00 92.010.355,77 -226.888,16 575,50 8.686.659,19 -0,99 0,45 33,78 -0,10 0,12 8,47 0,26 0,21 0,58 9.681,52 1.000,00 40.125,34 75.998.150,58 1.589.924,00 624.500.000,00 0,42 0,00 0,49 0,20 0,00 0,40 Quarterly Rep. Sample (Compustat) 4.285.665,73 255.908,00 64.007.320,00 682.729,31 50.610,50 6.871.467,70 272.695,24 8.222,50 8.298.943,49 40.317,45 1.861,00 665.271,61 4,31 3,50 36,34 0,80 0,51 9,80 0,28 0,23 0,46 11.282,02 1.016,00 46.129,32 9.694.911,00 444.986,50 189.800.000,00 0,26 0,00 0,44 0,11 0,00 0,31 Semi-Annual Rep. Sample (Compustat) 199.000.000,00 30.536.000,00 895.300.000,00 31.972.526,07 5.037.500,00 137.500.000,00 439.896,95 16.000,00 13.102.877,97 439.896,95 16.000,00 13.102.877,97 1,21 1,71 21,14 0,23 0,17 4,89 0,21 0,18 0,14 6.085,29 971,00 23.806,74 207.000.000,00 29.747.000,00 957.600.000,00 0,34 0,00 0,47 0,18 0,00 0,38 Quarterly Rep. Sample (Fu) 4.597.390,44 279.552,00 69.584.760,73 764.313,68 56.178,50 7.568.137,64 43.397,33 2.006,00 643.984,53 43.397,33 2.006,00 643.984,00 4,15 3,17 35,16 0,74 0,47 9,74 0,28 0,24 0,20 12.099,21 1.114,00 48.980,04 11.845.976,71 512.776,50 209.900.000,00 0,29 0,00 0,45 0,12 0,00 0,32 Semi-Annual Rep. Sample (Fu) 3.653.108,84 191.088,00 284.744.885,96 523.083,31 32.003,50 3.698.119,47 290.861,75 5.039,50 10.450.801,86 34.824,46 998,00 1.005.265,10 4,76 4,44 39,13 0,92 0,64 9,30 0,26 0,21 0,85 9.847,72 870,50 35.106,44 5.882.575,29 194.278,50 72.986.145,73 0,24 0,00 0,43 0,08 0,00 0,27 33 Employee intensity Asset intensity Economic growth Loss Prior Year mean median std dev mean median std dev mean median std dev mean median std dev 0,00 0,00 0,00 2,47 1,07 4,89 0,11 0,01 0,36 0,21 0,00 0,41 77,176 Observations 0,00 0,00 0,00 2,42 1,06 4,56 0,03 0,01 0,05 0,18 0,00 0,39 49,463 0,00 0,00 0,00 2,56 1,10 5,43 0,07 -0,03 0,50 0,25 0,00 0,43 27,713 0,00 0,00 0,00 3,16 1,15 5,72 0,02 0,01 0,05 0,22 0,00 0,42 49,416 0,00 0,00 0,00 1,25 1,00 2,41 0,03 0,01 0,06 0,18 0,00 0,39 27,760 0,00 0,00 0,00 3,44 1,18 5,69 0,02 0,01 0,04 0,23 0,00 0,42 40,960 0,00 0,00 0,00 1,89 1,06 5,85 0,03 0,04 0,07 0,17 0,00 0,37 12,222 Variable definitions: SG&AC = SG&A costs; Sales = sales revenue; Change_SG&A = change in SG&A costs between year t and year t-1; Relative_Change_SG&A = ratio of change in SG&A costs between year t and year t-1 to beginning total assets of year t; Relative_Change_Sales = ratio of change in sales between year t and year t-1 to beginning total assets of year t; SG&AC/Sales = ratio of SG&A costs to sales revenue; Number_Of_Employees = number of employees in year t; Beginning_Total_Assets = total assets of year t-1; Decline_Observations = percentage of observations with a decrease in sales revenue between year t and year t-1; Successive_Decrease = equals 1 when salest-2 > salest-1 > salest, and 0 otherwise; 34 Employee_Intensity = ratio of total number of employees to sales revenue; Asset_Intensity = ratio of total assets to sales revenue; Economic_Growth = growth in real gross national income (GNI) Loss_Prior_Year = equals 1 when the firms reports a loss in the previous year, and 0 otherwise; This table presents descriptive statistics for the full sample and subsamples over the period 2001-2010. 35 TABLE 3 Summary Statistics from Regressions with Log(SG&ACit/SG&Ait-1) as Dependent Variable I Variable Predicted Sign Basic Modela II Extended Modelb III Extended Model with Ecrisis_Dummyc β0: Constant β1: Log (Salesit/Salesit-1) + Two-Way Interaction Terms β2: Decrease_Dummy* Log(Salesit/Salesit-1) - β3: Log(Salesit/Salesit-1)*Ecrisis_Dummy Three-Way Interaction Terms β4: Decrease_Dummy *Log(Salesit/Salesit-1) *Ecrisis_Dummy β5: Decrease_Dummy *Log(Salesit/Salesit-1) *Successive_Decrease Coeff (t-stat) <significance> 0.02 (19.165) <.000> 0.59 (130.722) <.000> Coeff (t-stat) <significance> 0.03 (28.329) <.000> 0.59 (128.701) <.000> Coeff (t-stat) <significance> 0.03 (27.256) <.000> 0.60 (107.991) <.000> - -0.14 (-15.993) <.000> - -0.22 (-19.309) <.000> - -0.22 (-15.450) <.000> -0.03 (-2.927) <.003> + - - + - 0.10 (7.418) <.000> 0.00 (0.043) <.965> 0.11 (7.680) <.000> 36 β6: Decrease_Dummy *Log(Salesit/Salesit-1) *Employee_Intensity - - β7: Decrease_Dummy *Log(Salesit/Salesit-1) * Asset_Intensity - - β8: Decrease_Dummy *Log(Salesit/Salesit-1) *Economic_Growth - - β9: Decrease_Dummy *Log(Salesit/Salesit-1) *Loss_Prior_Year + - Main Terms β10: Ecrisis_Dummy ? - β11: Successive_Decrease ? - β12: Employee_Intensity ? - β13: Asset_Intensity ? - β14: Economic_Growth ? - β15: Loss_Prior_Year ? - 355.03 (0.808) <.419> -0.01 (-8.026) <.000> 0.09 (4.343) <.000> 0.02 (1.405) <.160> - Number of observations 77,176 -0.02 (-7.072) <.000> 100.78 (2.889) <.004> 0.00 (11.739) <.000> -0.02 (-8.026) <.000> -0.07 (-40.646) <.000> 77,176 Adjusted R-Square 30,6% 33,7% 396.17 (0.900) <.368> -0.01 (-7.973) <.000> 0.09 (4.295) <.000> 0.02 (1.678) <.093> -0.01 (-4.614) <.000> -0.02 (-6.502) <.000> 99.73 (2.860) <.004> 0.00 (11.665) <.000> -0.02 (-7.840) <.000> -0.07 (-40.004) <.000> 77,176 33,8% 37 a Log(SG&ACit/SG&ACit-1) = β0 + β1*Log(Salesit/Salesit-1) + β2*Decrease_Dummy*Log(Salesit/Salesit-1) + ∈it b Log (SG&ACit/SG&ACit-1) = β0 + β1*Log(Salesit/Salesit-1) + β2*Decrease_Dummy*Log(Salesit/Salesit-1) + β5*Decrease_Dummy*Log(Salesit/Salesit-1) *Successive Decrease + β6*Decrease_Dummy*Log(Salesit/Salesit-1)*Employee_Intensity + β7*Decrease_Dummy*Log(Salesit/Salesit-1) *Asset_Intensity + β8*Decrease_Dummy*Log(Salesit/Salesit-1)*Economic_Growth + β9*Decrease_Dummy*Log(Salesit/Salesit-1)*Loss_Prior_Year + Main Terms + ∈it c Log(SG&ACit/SG&ACit-1) = β0 + β1*Log(Salesit/Salesit-1) + β2*Decrease_Dummy*Log(Salesit/Salesit-1) + β3*Log(Salesit/Salesit-1)*Ecrisis_Dummy + β4*Decrease_Dummy*Log(Salesit/Salesit-1)*Ecrisis_Dummy + β5*Decrease_Dummy*Log(Salesit/Salesit-1)*Successive Decrease + β6*Decrease_Dummy*Log(Salesit/Salesit-1)*Employee_Intensity + β7*Decrease_Dummy*Log(Salesit/Salesit-1)*Asset_Intensity + β8*Decrease_Dummy*Log(Salesit/Salesit-1)*Economic_Growth + β9*Decrease_Dummy*Log(Salesit/Salesit-1)*Loss_Prior_Year + Main Terms + ∈it 38 TABLE 4 Summary Statistics for Split Sample Regressions on The Effect of Economic Crisis with Log (SG&ACit/SG&ACit-1) as the Dependent Variable Economic Crisis Samplea Variable Basic Modelc Extended Modeld β0: Constant 0.01 (5.162) <.000> 0.56 (64.155) <.000> Non-Crisis Sampleb Basic Modelc Extended Modeld 0.02 (9.823) <.000> 0.57 (63.619) <.000> 0.02 (21.272) <.000> 0.60 (119.966) <.000> 0.03 (26.105) <.000> 0.60 (117.014) <.000> -0.14 (-9.428) <.000> -0.22 (-11.847) <.000> -0.12 (-11.103) <.000> -0.23 (-14.041) <.000> β3: Decrease_Dummy*Log(Salesit/Salesit-1) *Successive_Decrease - - β4: Decrease_Dummy*Log(Salesit/Salesit-1) *Employee_Intensity - β5: Decrease_Dummy*Log(Salesit/Salesit-1) *Asset_Intensity - β6: Decrease_Dummy*Log(Salesit/Salesit-1) *Economic_Growth - β7: Decrease_Dummy*Log(Salesit/Salesit-1) *Loss_Prior_Year - 0.10 (4.756) <.000> 1231.71 (1.771) <.077> -0.01 (-4.050) <.000> -0.02 (-0.829) <.407> -0.01 (-0.502) <.616> -0.02 (-4.254) <.000> 563.90 (3.659) <.000> 0.00 (8.175) <.000> - β1: Log (Salesit/Salesit-1) Two-Way Interaction Terms β2: Decrease_Dummy*Log(Salesit/Salesit-1) Three-Way Interaction Terms Main Terms β8: Successive_Decrease - β9: Employee_Intensity - β10: Asset_Intensity - - - - - - - 0.14 (6.707) <.000> -367.361 (-0.592) <.554> -0.01 (-5.821) <.000> -0.04 (-0.209) <.835> 0.05 (2.798) <.005> -0.01 (-4.840) <.000> 63.63 (1.937) <.053> 0.00 (9.271) <.000> 39 β11: Economic_Growth - Number of observations 27,713 -0.01 (-3.480) <.001> -0.08 (-23.590) <.000> 27,713 β12: Loss_Prior_Year - Adjusted R-Square 26,3% 29,6% - 49,463 -0.05 (-3.060) <.002> -0.06 (-32.618) <.000> 49,463 33,2% 36,1% - a The economic crisis sample consists of observations from the years 2008 through 2010. b The non-crisis sample consists of observations from the years 2001 through 2007. c Log(SG&ACit/SG&ACit-1) = β0 + β1*Log(Salesit/Salesit-1) + β2*Decrease_Dummy*Log(Salesit/Salesit-1) + ∈it d Log(SG&ACit/SG&ACit-1) = β0 + β1*Log(Salesit/Salesit-1) + β2*Decrease_Dummy*Log(Salesit/Salesit-1) + β5*Decrease_Dummy*Log(Salesit/Salesit-1)*Successive Decrease + β6*Decrease_Dummy *Log(Salesit/Salesit-1)*Employee_Intensity + β7*Decrease_Dummy*Log(Salesit/Salesit-1) *Asset_Intensity + β8*Decrease_Dummy*Log(Salesit/Salesit-1)*Economic_Growth + β9*Decrease_Dummy*Log(Salesit/Salesit-1)*Loss_Prior_Year + Main Terms + ∈it 40 TABLE 5 Summary Statistics from Regressions on the Updating of Information with Log(SG&ACit/SG&Ait-1) as Dependent Variable I Variable Predicted Sign Extended Model with Ifr_Dummy (Compustat)a β0: Constant β1: Log (Salesit/Salesit-1) + Two-Way Interaction Terms β2: Decrease_Dummy* Log(Salesit/Salesit-1) - β3: Log(Salesit/Salesit-1)*Ifr_Dummy - Three-Way Interaction Terms β4:Decrease_Dummy *Log(Salesit/Salesit-1) *Ifr_Dummy + β5: Decrease_Dummy *Log(Salesit/Salesit-1) *Successive_Decrease + Coeff (t-stat) <significance> 0.02 (13.589) <.000> 0.55 (57.097) <.000> II Extended Model with Ifr_Dummy (Fu-method)a Coeff (t-stat) <significance> 0.04 (12.462) <.000> 0.61 (46.359) <.000> -0.15 (-8.144) <.000> 0.03 (2.845) <.004> -0.28 (-10.757) <.000> -0.01 (-0.564) <.573> -0.08 (-3.973) <.000> 0.09 (6.724) <.000> 0.01 (0.470) <.639> 0.10 (5.193) <.000> 41 β6: Decrease_Dummy *Log(Salesit/Salesit-1) *Employee_Intensity - β7: Decrease_Dummy *Log(Salesit/Salesit-1) * Asset_Intensity - β8: Decrease_Dummy *Log(Salesit/Salesit-1) *Economic_Growth - β9: Decrease_Dummy *Log(Salesit/Salesit-1) *Loss_Prior_Year + Main Terms β10: Ifr_Dummy ? β11: Successive_Decrease ? β12: Employee_Intensity ? β13: Asset_Intensity ? β14: Economic_Growth ? β15: Loss_Prior_Year ? Number of observations Adjusted R-Square 917.30 (2.057) <.004> -0.01 (-8.256) <.000> 0.08 (3.881) <.000> 0.02 (1.904) <.057> 1078.39 (2.130) <.033> -0.01 (-8.094) <.000> -0.07 (-3.103) <.002> 0.05 (3.211) <.001> 0.02 (10.336) <.000> -0.02 (-6.417) <.000> 41.10 (1.172) <.241> 0.00 (8.359) <.000> -0.01 (-2.760) <.006> -0.07 (-41.475) <.000> 77,176 -0.00 (-0.398) <.691> -0.02 (-4.449) <.000> 25.83 (0.628) <.530> 0.00 (6.666) <.000> -0.00 (-1.087) <.277> -0.08 (-32.907) <.000> 53,182 (Japan excluded) 34,0% 30,5% 42 a Log(SG&ACit/SG&ACit-1) = β0 + β1*Log(Salesit/Salesit-1) + β2*Decrease_Dummy*Log(Salesit/Salesit-1) + β3*Log(Salesit/Salesit-1)*Ifr_Dummy + β4*Decrease_Dummy*Log(Salesit/Salesit-1)*Ifr_Dummy + β5*Decrease_Dummy*Log(Salesit/Salesit-1)*Successive Decrease + β6*Decrease_Dummy*Log(Salesit/Salesit-1)*Employee_Intensity + β7*Decrease_Dummy*Log(Salesit/Salesit-1)*Asset_Intensity + β8*Decrease_Dummy*Log(Salesit/Salesit-1)*Economic_Growth + β9*Decrease_Dummy*Log(Salesit/Salesit-1)*Loss_Prior_Year + Main Terms + ∈it 43 TABLE 6 Summary Statistics for Split Sample Regressions on The Effect of Updating Information (Compustat) with Log (SG&ACit/SG&ACit-1) as the Dependent Variable Quarterly IR Samplea Semi-Annual IR Sampleb Variable Basic Modelc Extended Modeld β0: Constant 0.03 (20.203) <.000> 0.58 (96.066) <.000> 0.04 (25.103) <.000> 0.58 (94.832) <.000> 0.01 (6.259) <.000> 0.56 (88.078) <.000> 0.02 (13.066) <.000> 0.55 (86.522) <.000> -0.14 (-12.406) <.000> -0.24 (-15.227) <.000> -0.03 (-3.048) <.002> -0.15 (-10.110) <.000> β3: Decrease_Dummy*Log(Salesit/Salesit-1) *Successive_Decrease - - β4: Decrease_Dummy*Log(Salesit/Salesit-1) *Employee_Intensity - β5: Decrease_Dummy*Log(Salesit/Salesit-1) *Asset_Intensity - β6: Decrease_Dummy*Log(Salesit/Salesit-1) *Economic_Growth - β7: Decrease_Dummy*Log(Salesit/Salesit-1) *Loss_Prior_Year - 0.09 (4.550) <.000> 939.53 (1.730) <.084> -0.01 (-7.850) <.000> -0.76 (-3.952) <.000> 0.04 (2.078) <.038> -0.02 (-5.443) <.000> 31.69 (0.755) <.450> 0.00 (6.489) <.000> - β1: Log (Salesit/Salesit-1) Basic Modelc Extended Modeld Two-Way Interaction Terms β2: Decrease_Dummy*Log(Salesit/Salesit-1) Three-Way Interaction Terms Main Terms β8: Successive_Decrease - β9: Employee_Intensity - β10: Asset_Intensity - - - - - - - 0.08 (5.005) <.000> 142.95 (0.139) <.890> 0.01 (2.545) <.011> 1.013 (7.365) <.000> 0.00 (0.077) <.938> -0.01 (-5.338) <.000> 172.00 (1.769) <.077> 0.00 (5.431) <.000> 44 β11: Economic_Growth - Number of observations 49,416 0.01 (6.489) <.000> -0.08 (-32.029) <.000> 49,416 β12: Loss_Prior_Year - Adjusted R-Square 27,3% 30,4% - 27,759 -0.06 (-4.215) <.000> -0.06 (-30.003) <.000> 27,759 40,0% 43,5% - a The quarterly IR sample consists of observations that provide interim reporting every quarter. b The semi-annual IR sample consists of observations that provide interim reporting every half year. c Log(SG&ACit/SG&ACit-1) = β0 + β1*Log(Salesit/Salesit-1) + β2*Decrease_Dummy*Log(Salesit/Salesit-1) + ∈it d Log(SG&ACit/SG&ACit-1) = β0 + β1*Log(Salesit/Salesit-1) + β2*Decrease_Dummy*Log(Salesit/Salesit-1) + β5*Decrease_Dummy*Log(Salesit/Salesit-1)*Successive Decrease + β6*Decrease_Dummy *Log(Salesit/Salesit-1)*Employee_Intensity + β7*Decrease_Dummy*Log(Salesit/Salesit-1) *Asset_Intensity + β8*Decrease_Dummy*Log(Salesit/Salesit-1)*Economic_Growth + β9*Decrease_Dummy*Log(Salesit/Salesit-1)*Loss_Prior_Year + Main Terms + ∈it 45 TABLE 7 Summary Statistics for Split Sample Regressions on The Effect of Updating Information (Fu Method) with Log (SG&ACit/SG&ACit-1) as the Dependent Variable Quarterly IR Samplea Variable Basic Modelc Extended Modeld 0.03 (20.615) <.000> 0.60 (109.755) <.000> 0.02 (4.737) <.000> 0.60 (27.514) <.000> 0.04 (6.804) <.000> 0.61 (27.170) <.000> -0.16 (-15.486) <.000> -0.28 (-20.602) <.000> -0.18 (-4.510) <.000> -0.30 (-5.649) <.000> β3: Decrease_Dummy*Log(Salesit/Salesit-1) *Successive_Decrease - - β4: Decrease_Dummy*Log(Salesit/Salesit-1) *Employee_Intensity - β5: Decrease_Dummy*Log(Salesit/Salesit-1) *Asset_Intensity - β6: Decrease_Dummy*Log(Salesit/Salesit-1) *Economic_Growth - β7: Decrease_Dummy*Log(Salesit/Salesit-1) *Loss_Prior_Year - 0.12 (6.895) <.000> 1652.40 (3.532) <.000> -0.01 (-9.886) <.000> -0.73 (-3.519) <.000> 0.04 (3.013) <.003> 0.07 (0.984) <.325> 2228,84 (1,258) <.208> -0.01 (-1.029) <.303> -0.79 (-2.083) <.037> 0.06 (1.087) <.277> -0.02 (-5.038) <.000> 576.08 (5.839) <.000> 0.00 (8.487) <.000> - β0: Constant β1: Log (Salesit/Salesit-1) Basic Modelc 0.02 (19.456) <.000> 0.59 (108.808) <.000> Extended Modeld Semi-Annual IR Sampleb Two-Way Interaction Terms β2: Decrease_Dummy*Log(Salesit/Salesit-1) Three-Way Interaction Terms Main Terms β8: Successive_Decrease - β9: Employee_Intensity - β10: Asset_Intensity - - - - - - - -0.02 (-1.399) <.0162> -31.02 (-0.429) <.668> 0.00 (2.300) <.021> 46 β11: Economic_Growth - Number of observations 40,960 0.00 (0.031) <.976> -0.08 (-37.433) <.000> 40,960 β12: Loss_Prior_Year - Adjusted R-Square 37,7% 42,1% - 12,222 -0.04 (-0.746) <.456> -0.10 (-10.266) <.000> 12,222 13,6% 15,3% - a The quarterly IR sample consists of observations that provide interim reporting every quarter. b The semi-annual IR sample consists of observations that provide interim reporting every half year. c Log(SG&ACit/SG&ACit-1) = β0 + β1*Log(Salesit/Salesit-1) + β2*Decrease_Dummy*Log(Salesit/Salesit-1) + ∈it d Log(SG&ACit/SG&ACit-1) = β0 + β1*Log(Salesit/Salesit-1) + β2*Decrease_Dummy*Log(Salesit/Salesit-1) + β5*Decrease_Dummy*Log(Salesit/Salesit-1)*Successive Decrease + β6*Decrease_Dummy *Log(Salesit/Salesit-1)*Employee_Intensity + β7*Decrease_Dummy*Log(Salesit/Salesit-1) *Asset_Intensity + β8*Decrease_Dummy*Log(Salesit/Salesit-1)*Economic_Growth + β9*Decrease_Dummy*Log(Salesit/Salesit-1)*Loss_Prior_Year + Main Terms + ∈it 47 TABLE 8 Summary Statistics from Regressions with Log(SG&ACit/SG&Ait-1) as Dependent Variable, including Country Dummies I Variable Predicted Sign β0: Constant β1: Log (Salesit/Salesit-1) + Two-Way Interaction Terms β2: Decrease_Dummy* Log(Salesit/Salesit-1) - β3: Log(Salesit/Salesit-1)*Ecrisis_Dummy resp. Ifr_Dummy Three-Way Interaction Terms β4: Decrease_Dummy *Log(Salesit/Salesit-1) *Ecrisis_Dummy resp. Ifr_Dummy β5: Decrease_Dummy *Log(Salesit/Salesit-1) *Successive_Decrease - + + II III Extended Model with Extended Model with Extended Model with Ecrisis_Dummya Ifr_Dummy (Compustat)b Ifr_Dummy (Fu-method)b Coeff (t-stat) <significance> 0.02 (7.594) <.000> 0.58 (56.175) <.000> Coeff (t-stat) <significance> 0.02 (8.527) <.000> 0.55 (49.207) <.000> Coeff (t-stat) <significance> 0.04 (6.050) <.000> 0.60 (29.904) <.000> -0.23 (-8.949) <.000> -0.04 (-2.781) <.005> -0.15 (-6.508) <.000> 0.03 (1.626) <.104> -0.27 (-5.915) <.000> -0.11 (-2.958) <.003> 0.04 (1.516) <.130> 0.11 (5.245) <.000> -0.13 (-4.258) <.000> 0.09 (4.207) <.000> 0.10 (1.493) <.136> 0.07 (1.300) <.194> 48 β6: Decrease_Dummy *Log(Salesit/Salesit-1) *Employee_Intensity - β7: Decrease_Dummy *Log(Salesit/Salesit-1) * Asset_Intensity - β8: Decrease_Dummy *Log(Salesit/Salesit-1) *Economic_Growth - β9: Decrease_Dummy *Log(Salesit/Salesit-1) *Loss_Prior_Year + Main Terms β10: Ecrisis_Dummy resp. Ifr_Dummy ? β11: Successive_Decrease ? β12: Employee_Intensity ? β13: Asset_Intensity ? β14: Economic_Growth ? β15: Loss_Prior_Year ? Country dummies ? 821.64 (0.822) <.411> -0.00 (-0.535) <.593> 0.13 (5.424) <.000> 0.01 (0.565) <.572> 1836.63 (1.778) <.075> 0.00 (0.003) <.998> 0.10 (4.272) <.000> 0.01 (0.555) <.579> 1070.42 (0.715) <.475> -0.01 (-1.618) <.106> -0.07 (-1.920) <.055> 0.05 (1.147) <.252> -0.01 (-1.950) <.051> -0.01 (-2.439) <.015> -47.92 (-1.163) <.245> 0.00 (4.582) <.000> -0.01 (-2.838) <.005> -0.07 (-23.850) <.000> included 0.00 (-0.071) <.943> -0.01 (-2.935) <.003> -37.367 (-0.906) <.365> 0.00 (4.633) <.000> -0.01 (-3.044) <.002> -0.07 (-24.251) <.000> included -0.01 (-0.607) <.544> -0.02 (-1.359) <.174> -34.79 (-0.536) <.592> 0.00 (2.428) <.015> -0.01 (-1.426) <.154> -0.09 (-13.131) <.000> included 49 Number of observations 40,712 40,712 16,718 Adjusted R-Square 26,1% 26,1% 17,6% a Log(SG&ACit/SG&ACit-1) = β0 + β1*Log(Salesit/Salesit-1) + β2*Decrease_Dummy*Log(Salesit/Salesit-1) + β3*Log(Salesit/Salesit-1)*Ecrisis_Dummy + β4*Decrease_Dummy*Log(Salesit/Salesit-1)*Ecrisis_Dummy + β5*Decrease_Dummy*Log(Salesit/Salesit-1)*Successive Decrease + β6*Decrease_Dummy*Log(Salesit/Salesit-1)*Employee_Intensity + β7*Decrease_Dummy*Log(Salesit/Salesit-1)*Asset_Intensity + β8*Decrease_Dummy*Log(Salesit/Salesit-1)*Economic_Growth + β9*Decrease_Dummy*Log(Salesit/Salesit-1)*Loss_Prior_Year + Main Terms (including Country Dummies) + ∈it b Log(SG&ACit/SG&ACit-1) = β0 + β1*Log(Salesit/Salesit-1) + β2*Decrease_Dummy*Log(Salesit/Salesit-1) + β3*Log(Salesit/Salesit-1)*Ifr_Dummy + β4*Decrease_Dummy*Log(Salesit/Salesit-1)*Ifr_Dummy + β5*Decrease_Dummy*Log(Salesit/Salesit-1)*Successive Decrease + β6*Decrease_Dummy*Log(Salesit/Salesit-1)*Employee_Intensity + β7*Decrease_Dummy*Log(Salesit/Salesit-1)*Asset_Intensity + β8*Decrease_Dummy*Log(Salesit/Salesit-1)*Economic_Growth + β9*Decrease_Dummy*Log(Salesit/Salesit-1)*Loss_Prior_Year + Main Terms (including Country Dummies) + ∈it 50
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