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Does working capital management matter? A comparative case between consumer goods firms and construction firms in Vietnam

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Article: 2271543 | Received 14 Aug 2021, Accepted 06 Oct 2023, Published online: 27 Nov 2023

Abstract

This study investigates the effects of working capital management (WCM) through and its components (Days Sales Outstanding—DSO, Days Inventory Outstanding—DIO, and Days Payable Outstanding—DPO and Net Working Capital) on firm profitability in consumer goods and construction firms by applying Generalized Method of Moments (GMM). The independent samples t-test was used to study the difference of WCM between the two groups of firms. The data were collected from 21 consumer goods firms and 41 construction firms listed on Vietnam Stock Market in the period 2011–2020. This study indicates that WCM components impact differently on firm profitability of selected firms in the sample. The results provided empirical evidence supporting financial management theory and implied that WCM is a critical factor explaining firm profitability, and industry specificity is a factor explaining the difference in WCM and its influence on firm profitability in the study sample. The results recommend that financial managers should focus on managing working capital and consider industry characteristics as developing working capital management policy to improve firm profitability.

1. Introduction

Working capital management (WCM) refers to management decisions influencing the size of current assets and current liabilities (Tauringana & Adjapong Afrifa, Citation2013) and affects firm’s profitability and risk (Baños-Caballero et al., Citation2011). WCM includes cash, receivables, inventories, and payables management (Bhatia & Srivastava, Citation2016). A very stringent WCM policy can lead to a liquidity crisis, while a relaxed one can lead to a decline in profitability. For example, a flexible credit policy may boost sales but increase bad debts or firm financial risk; conversely, a tight credit policy often has an adverse effect on a company’s earnings due to reducing sales. Applying a relaxed inventory holding policy can increase the cost of carrying, and retaining lower inventory amounts can result in situations of stockout and higher ordering costs. Delaying payments to suppliers can be very costly for the orders with a very high discount on cash payment.

The corporate finance literature emphasizes the importance of WCM because of the significant impact of short-term finacial decisions on a firm’s profitability and risk. Martinho (Citation2021) conducted the bibliometric analysis through bibliometric information from both the Web of Science Core Collection and the Scopus for the topic of “Working capital” (WC) and found that the studies on WCM increased sharply after 2007/2008, however decreased in 2020, and increased significantly over the last few years. The study highlighted that the four countries—the USA, China, India, and the United Kingdom—take a large part of the researches on “Working capital”. There are no studies on “Working capital” developed by researchers affiliated to institutions from Vietnam mentioned in the study. Martinho (Citation2021) recommended that the topic should be studied in more countries around the world. We reviewed recent studies on the effect of WCM on profitability and found that these studies focused on one industry such as steel firms (Pham et al., Citation2020), and food companies (Phương & Chau, Citation2020), or manufacturing firms listed in Vietnam stock markets (Nguyen & Dang, Citation2020). There is not a comparative study on the same topic conducted in Vietnam recently.

According to Ali and Khan (Citation2011), the main factors that affect WCM are market cycles, firm conditions, and macroeconomic contexts. Therefore, it is expected that firms belonging to different industries have different WCMs, and the impact of WCM on firm profitability may be different. Moreover, most of studies on WCM focused on manufacturing firms, firm size, or one industry (Gill et al., Citation2010; Kieschnick et al., Citation2011; Pham et al., Citation2020; Raheman & Nasr, Citation2007; Stephen & Elvis, Citation2011; Tauringana & Adjapong Afrifa, Citation2013). The situation needs a comparative study on WCM and its influence on firm profitability between two industries with large differences in terms of market cycles, and firm specifics, and in a specific context like Vietnam. Thus, we want to close the gap by carrying out a comparative study on the impact of WCM on profitability between construction and consumer goods industries. Moreover, our motivation also stemed from the statement of PwC Vietnam: Vietnamese companies use WC inefficiently, especially firms belong to engineering and construction, FMCG, and metals and mining industries. PwC Vietnam explained that the ineffective supply chain and inappropriate payment policy are primary causes for WCM inefficiency of these Vietnamese enterprises compared to their counterparts in the region and around the world.

Construction is one of the most important industries in the market economy. Products of construction enterprises are individual because of their large-scale, complex production techniques, single-unit production, and long production time. Therefore, it is required that WCM must be done well for the quality of the work to be carried out as originally planned. The consumer goods industry is an important and indispensable industry in the industrial system of all countries because it produces many common goods to serve first and foremost for the daily life of people. The consumer goods industry group includes many different industries and diverse products. Most notable industries are the textile—garment, leather—shoe, stationery, plastic, porcelain—glass industries, etc. Conspicuous features of the consumer goods industry in Vietnam are small capital, simple technical process, short production time, quick payback and profitable. Conducting the comparative study between the two groups of firms will provide empirical evidence that industry characteristics influence WCM practices and their effect on firm profitability in a specific research context like Vietnam to both managers and researchers. The next sections will be literature review, variable measurement, data processing and hypothesis testing, results and interpretation, discussion, and conclusion.

2. Literature review

2.1. Working capital and working capital management policy

WC is the sum of short-term assets (or current assets) of a firm including cash and cash equivalents, short-term financial investments, accounts receivable, inventories, and other short-term assets (prepaid expenses) used to finance the daily production and business activities (Ngo & Le, Citation2015). However, short-term financial investments are not a funding for the business operation of a firm; therefore, they should be excluded from WC. WC refers to a firm’s investment level in short-term assets and the fund needed to meet the day-to-day expenses (Bhatia & Srivastava, Citation2016). WC is managed through two policies, which are working capital investment policy (WCIP) and working capital financing policy (WCFP), according to Eugene and Joel (Citation2021). The investment policy of WC refers to the level of holding short-term assets and WCFP refers to the maturity of funds used to finance the current assets. WCM theory distinguishes the two concepts of WC—gross working capital (GWC) and net working capital (NWC). GWC refers to the level of holding short-term assets or the investment policy of WC of a firm. NWC is the difference between short-term assets’ value and current liabilities indicating the level of long-term funds used to finance a firm’s short-term assets.

WCM are decisions regarding a trade-off between risk and profit of a firm. Ideally, WCM needs to ensure sufficient WC to run business activities and short-term debt repayment obligations with the aim to guarantee that a firm can meet its operating costs and, furthermore, stay in a position to pay short-term obligations (Ukaegbu, Citation2014). The inefficient WCM may increase a firm’s liquidity risk and put a firm in financial distress. According to Moyer et al. (Citation1992) and Eugene and Joel (Citation2021), there are three types of WCIP or three levels of investment in short-term assets. Applying conservative WCIP, a firm will hold a high level of cash and inventory. This policy helps a firm avoid the shortage costs, but it increases the firm’s financial costs. For aggressive WCIP, a firm will invest in current assets at the minimum level (Eugene & Joel, Citation2021). This policy reduces a firm’s financial costs, but it may increase shortage costs. Contrary to conservative investment, the policy is a risky policy, because the company can face potential liquidity issues (Vahid et al., Citation2012). Moderate WCIP is seen as a combination in balance between conservative investment policy and aggressive investment policy. This policy is the best policy standing balance between both angles of profits and risks.

Eugene and Joel (Citation2021) and Firer et al. (Citation2008) suggested that investment in current assets or WC needs to be financed from many sources of funds. The primary sources of capital for a firm’s WC include trade credit, prepaid expenses, short-term loans, long-term debts, and owners’ equity. Each source of funds has its own advantages and disadvantages. Therefore, firms need to make wise decision on their best source of capital. WCFP is measured using short-term debts and distinguished through three financing policies. Applying conservative financing policy, firms use more long-term funds including long-term debt and equity to finance all long-term assets, permanent current asset, and little of the needs of temporary WC (seasonal or unexpected increasing of inventory items) for increasing revenue strategy. Employing this policy, a firm does not face potential liquidity issues, but its profit may reduce, because using too much long-term debts results in high cost of capital compared to the use of short-term debt. Applying an aggressive financing policy, the firm uses short-term funds to finance its entire current assets and a portion of long-term assets. Employing this policy, a firm may face high liquidity risk due to rolling loans as well as increasing interest rates. However, short-term interest rates usually are lower than interest rates of long-term loans, and some companies are willing to sacrifice for a chance to raise higher profits. According to Eugene and Joel (Citation2021), the reason for adopting a risky financing policy is the lower short-term rates (yield curve usually slopes upward). However, the strategy of financing for long-term assets by short-term funds really brings risk to firms. In some cases, firms may face temporary financial problems that they cannot pay the short-term liabilities coming due, and creditors and lenders may refuse to extend their maturity leading to bankruptcy. Briefly, a risky financing policy will generate a higher level of profitability, but increase payment risk as well. With a moderate financing policy, fixed assets and a portion of permanent current assets are financed by long-term capital including long-term liabilities and owners’ equity, and a part of permanent current assets is financed by short-term liabilities. This policy falls between the two extremes of aggressive policy and conservative policy, so it brings about moderate risk and profitability compared to the two other financial policies.

2.2. Working capital management and firm profitability

The relationship between WCM and firm profitability can be explained based on the trade-off theory. An aggressive investment and financing policy in WCM is a risky policy producing higher risk and return. Contrary to that policy is the conservative policy, which produces lower risk and return to firm. Previous studies on WCM in different countries including countries in Asia, Europe, and Africa have shown that WCM is the management of current assets’ components through the establishment and implementation of WCM policies (Bhatia & Srivastava, Citation2016; Eugene & Joel, Citation2021; Moyer et al., Citation1992; Vahid et al., Citation2012). The level of investment in current assets is considered the key factor explaining the effect of WCM on firm profitability. Excessive investment in short-term assets has a negative impact on firm efficiency. Conversely, limited investment in current assets may increase firm risk due to the probability of solvency. For conservative financing policy, managers tend to maintain high cash holding and inventory level that may gain revenue growth and reduce the shortage costs, which in turn contributes to firm operating profit; however, the policy may increase firm’s financial costs and inventory carry costs that may adversely affect its performance, versus aggressive financing policy. Therefore, to study the impact of WCM on firm profitability, we tested the impact of five components of WCM—cash conversion cycle (CCC), days inventory outstanding (DIO), days sales outstanding (DSO), days payable outstanding (DPO), and NWC—on firm’s return on assets (ROA).

2.3. Hypothesis development

Shortening CCC will generate higher net operating cash flows to the firm and then increase the firm’s profitability. Ngo and Le (Citation2015) confirmed the existence of the relationship between net operating profit and average inventory days, account payable days, and CCC. They asserted that firms with a shorter CCC are profitable. Bagchi et al. (Citation2012) examined the effect of WCM policy on firm profitability (ROA and ROI) of consumer goods companies. Their findings indicated a negative relationship between the components of WCM and profitability of selected companies. Nobanee (Citation2017) studied the relationship between the efficiency of WCM and profitability of 12 construction companies listed in the stock markets of the United Arab Emirates and found that CCC is linked negatively and significantly with the profitability of construction firms. In the same country, Nobanee and Ellili (Citation2015) also explored the relation between the efficiency of WCM and the performance of the 44 Kuwaiti Stock Exchange construction firms. Based on the above WCM theory and empirical findings, we hypothesized that (H1) there is a relationship between the components of WCM (DIO, DSO, DPO, CCC, and NWC) and ROA of both construction firms and consumer goods firms, or:

H1a

DIO significantly impacts on ROA of both construction firms and consumer goods firms.

H1b

DSO significantly impacts on ROA of both construction firms and consumer goods firms.

H1c

DPO significantly impacts on ROA of both construction firms and consumer goods firms.

H1d

CCC significantly impacts on ROA of both construction firms and consumer goods firms.

H1e

NWC significantly impacts on ROA of both construction firms and consumer goods firms.

Ali and Khan (Citation2011) confirmed that the main factors that affect the WC are market cycles, firm conditions, and macroeconomic contexts. The fact that market cycle and firm specificity belong to different industries is different. Financial managers may apply different WCM policies due to the change in firm financial constraints, market conditions, and economic conditions. Accordingly, the impact of the WCM policy applied on firm’s profitability is expected to be different. Therefore, we hypothesized that:

H2. There is a significant difference between consumer goods companies and construction companies in terms of WCM and

H3. Their impacts on firm profitability are different.

3. Variable measurement

To test the research hypotheses above, research variables need to be defined and measured and are presented in . Data were collected from audited financial statements of the sample of 62 consumer goods and construction firms listed on Vietnam Stock Exchanges (HOSE and HNX) for a period of 10 years from 2011 to 2020, resulting in 620 firm-year observations (Appendix 1 - Company List)

Table 1. Variable’s summary

To test the impact of WCM on firm profitability, we applied the research model below. In the regression model, ROA is a dependent variable; CCC, DSO, DIO, DPO, and NWC are independent variables; and SIZ, LEV, CR, and GRO are control variables. CR is an interaction between WCIP and WCFP and is an indicator of firm liquidity risk, according to the financial management theory. Therefore, it is considered as a control variable in our research model.ROAit=β0+β1CCCit+β2DSOit+β3DIOit+β4DPOit+β5NWCit+β6SIZEit+β7LEVit+β8CRit+β9GROit+uiti is regression coefficient, and uit is unobserved variable)

4. Data processing and hypothesis testing

4.1. Statistics description

On average, consumer goods firms invest in receivables approximately 54 days (DSO) and in inventory approximately 119 days (DIO) and stretch their payment period roughly 43 days (DPO). As a result, their CCC is about 129 days (see ). These companies have positive NWC (819.3 billion), implying a conservative financing policy applied or long-term funds used to finance the current assets; accordingly, the selected firms’ liquidity risk is low (CR = 1.6).

Table 2. Statistics description for surveyed consumer goods firms

In contrast, construction firms have longer CCC (310 days) equal to 3.2 times that of consumer goods firms. In detail, the DSO is 225 days, 4.2 times in comparison to that of consumer firms, and DIO is approximately 193 days and DPO is 107 days (see ). This means that these companies must pay their suppliers before receiving payment from their customers. According to Vietnamese Accounting Standards (VAS), construction companies are allowed to recognize revenue after the construction works have been finished and accepted by their customers. In some cases, such as unfavorable weather conditions making production cycle longer than planned, construction companies must apply a relaxed credit policy. The selected firms’ NWC is positive with a small size, implying that construction firms applied a moderate financing policy; accordingly, the selected firms’ liquidity risk is moderate (CR = 1.3).

Table 3. Statistics description for surveyed construction firms

4.2. Correlation test

Before testing the impact of WCM on firm profitability, we tested the correlation between variables in the research model for consumer goods and construction firms separately, and the results are shown in . The correlation level is the level at which researchers often use to examine the possibility of multicollinearity in the research model. is the correlation matrix of all variables used in our research model for consumer goods firms. The test results show that there is an autocorrelation phenomenon between CCC and its components with correlation coefficients higher than 0.8 (). For construction firms, the value of correlation coefficients among independent and control variables in the study is small and less than 0.8, except for the case of CCC and DSO ().

Table 4. Correlation matrix, n = 210 (consumer goods firms)

Table 5. Correlation matrix, n = 410 (Construction firms)

The results of correlation matrix.

4.3. Multicollinearity test

VIF testing for consumer goods firms revealed that there is severe multicollinearity, with the VIF of CCC and DIO being 19.34 and 13.27, respectively. The VIF test for construction firms also resulted in the existence of significant multicollinearity issues, with the VIF of DSO and CCC being 20.56 and 18.37, respectively. After removing the variables with VIF higher than 10, VIF test for the two groups of firms was conducted again and resulted in multicollinearity issues being solved. The test’s result implies that CCC and DPO should be removed from the regression model for consumer goods firms, and CCC should be removed from the regression model for construction firms. The results of VIF final test for consumer goods firms and construction firms are presented in .

Table 6. VIF test results

4.4. Regression test

Endogenous issues could occur in our research model resulting from the formula relationships among variables (e.g., CCC = DSO + DIO − DPO) in the model, with data collected from firms’ financial statements. In addition, endogeneity can result from unobserved variables such as economic conditions, or market cycles of industry in specific economy. To solve this problem, the most favored techniques to date that yield unbiased and consistent results are instrumental variables (IVs) and generalized method of moments (GMM). However, the GMM estimator is used in the present study for two reasons: First, if there is heterogeneity, the GMM estimator is more efficient than the single IV instrumental variable estimator simple; whereas if there is no heterogeneity, the GMM estimator is no worse than the IV method (Baum et al., Citation2003). Second, the use of the IV method leads to robust but not necessarily efficient to estimates of the model parameters because it does not use the available moment conditions and does not consider the structure taking the difference of the residual (Baltagi, Citation2001). GMM estimators, including first-difference GMM (DIF-GMM), developed by Arellano and Bover (Citation1995), and system GMM (SYS-GMM), developed by Blundell and Bond (Citation1998), are becoming increasingly popular to estimate with dynamic panel data sets. Blundell and Bond (Citation1998) and Bond et al. (Citation2001) have shown that the DIF-GMM estimator is shown to have poor finite samples of bias and imprecision, when the series is persistent. They also show that DIF-GMM suffers from large downward finite sampling bias, especially when T is small. Therefore, a system GMM proposed by Arellano and Bover (Citation1995) should be used to test the impact of WCM components on firm profitability (see Appendix 2).

show our baseline results of the impact of WCM components on firm profitability of construction and consumer goods firms from 2011 to 2020 using the system GMM. The Sargan/Hansen test and the Arellano/Bond test for second-order autocorrelation have p-values for diagnostic tests that are statistically insignificant. When the moment conditions are met and the instruments are justified, this means that there are no overly restrictive constraints (Arellano & Bond, Citation1991). Further evidence that the system GMM is appropriate for use in our study comes from the fact that the coefficients of lagged measures of ROA (L1.ROA) are notably positive and significant, suggesting that ROA is persistent over time.

Table 7. The results of our baseline model (consumer goods firms)

Table 8. The results of our baseline model (Construction firms)

For consumer goods firms (), we found the significant positive impact of DSO on ROA (β = 0.0003901, t-value = −3.93), the significant negative impact of DIO on ROA (β = −0.0009237, t-value = −3.93), and the insignificant negative impact of NWC on ROA (β = −0.0000102, t-value = −0.95). We cannot make conclusions of the impact of CCC and DPO on ROA because these varibles were omitted from the regression model. Thus, hypothesis 1 is partially accepted in the case of consumer goods firms.

For construction firms (), we found the insignificant negative impact of DSO and DPO on ROA (β = −8.76e-07, t-value = −0.01; β = −0.0001221, t-value = −0.37, respectively) and the significant negative impact of DIO and NWC on ROA (β = −0.0003287, t-value = −3.05; β = −0.000082, t-value = −2.36, respectively). We cannot make conclusions of the impact of CCC on ROA because the variable was omitted from the regression model. Thus, hypothesis 1 is partially accepted in the case of construction firms.

Table 9. Comparison of the impact of WCM components on firm profitability between consumer and construction firms

Comparison of the impact of WCM on firm profitability between consumer goods firms and construction firms is presented in . The comparison results show that the impact of DSO on ROA of consumer goods firms is different from that of construction firms (significantly positively vs. insignificantly negatively); the impact of DIO on ROA of consumer goods firms is similar to that of construction firms (significantly negatively); and the impact of NWC on ROA of consumer goods firms is different from that of construction firms (insignificantly negatively vs. significantly negatively). We found no evidence to support hypothesis 1 on the impact of CCC and DPO on ROA for the two groups of firms; therefore the comparison cannot be made.

4.5. Independent samples t-test for WCM between consumer goods and construction firms

The independent samples t-test is a statistical method used to compare the means of two distinct groups. When samples are drawn from two distinct populations, the sample’s mean value may vary. In this study, mean difference between two groups is equal to mean (consumer goods) minus mean (construction). To compare the WCM policy of two groups, we proposed hypotheses: H0: diff = 0; Ha: diff < 0: Pr (T < t); Ha: diff ! = 0: Pr (|T| > |t|); Ha: diff > 0: Pr (T > t). Where: Pr(T < t), Pr(T > t) are the one-tailed p-values for evaluating the alternatives (mean < H0 value) and (mean > H0 value), respectively. Like Pr (|T| > |t|), they are computed using the t-distribution. If the p-value is less than the pre-specified alpha level (usually 0.05 or 0.01), we conclude that the mean difference is statistically significantly greater than or less than zero. The test results () show that CCC, DOS, DIO, and DPO of consumer goods firms are significantly shorter than those of construction firms. However, NWC of consumer goods firms is significantly larger than that of construction firms. The findings imply that the WCM of the two groups of firms is different due to industry specificity.

Table 10. Compare mean by industry for consumer goods and construction firms

5. Discussion

Our study found that DSO impacts positively significantly and DIO impacts negatively significantly on ROA of consumer goods firms, while NWC impacts insignificantly negatively on ROA. DSO reflects the credit sales policy of a firm. Lengthening the sales collection period may increase a firm’s revenues and then improve the firm’s profit. DIO reflects the investment level of a firm’s inventory. Maintaining a high-level inventory may reduce a firm’s shortage cost but increase the firm’s cost of funds, resulting in a decrease in the firm’s profit. NWC reflects a firm’s financing policy. A positive NWC confirms that a part of current assets are financed with long-term capital. The cost of long-term funds usually is higher than that of short-term funds; thus, a heavy use of long-term funds may reduce a firm’s profit. Our findings are similar to those of the study of Phương and Chau (Citation2020). Phương and Chau (Citation2020) found that collection period impacts positively, but inventory period impacts negatively, on ROA of 17 listed food companies in Vietnam.

For construction firms, DSO and DPO impact insignificantly negatively on ROA. DIO and NWC impact significantly negatively on ROA. In average, NWC of selected construction firms is positve and smaller than that of selected consumer goods firms. Construction firms are characterized as a single-unit production organization due to the characteristics of their products. The time required to complete a product is often long, even measured in years, and the product value is often high; thus, it can be assumed that DSO is not only influenced by credit sales term but also production period. DPO reflects the payment policy of a firm. Contruction firms may buy construction materials in credit or use trade credit to finance current assets. The fact that trade credit is very costly compared to other short-term funds lengthens the payment period, increasing cost of funding and reducing the firm’s profit. Our findings are different from those of the study of Pham et al. (Citation2020). They found a positive influence of DPO, DIO, and DSO on ROA of 20 steel companies listed in Vietnam stock markets.

In summary, our study findings prove the impact of WCM on firm profitability and the moderating role of industry specificity on the relationship between WCM and firm profitability. Our findings also provide the explanation for the differences of previous studies’ empirical findings on the same topic in Vietnam context. We provided empirical evidence in specific context like Vietnam to confirm the importance of WCM in financial management to reach management goals.

6. Conclusion

The study was conducted to compare the impact of WCM on firm profitability of consumer goods and construction firms listed in Vietnam Stock Markets from 2011 to 2020. Data were collected from the audited financial statements of 21 consumer goods companies and 41 construction firms, applying GMM econometric model to test the impact of WCM components on ROA. In data processing, we found autocorrelation and multicollinearity issues among variables in the research model. For consumer goods firms, both CCC and DPO variables were omitted in the running resgression test with GMM; and for the case of construction firms, CCC was omitted. Regression test resulted in the different impact of WCM components on ROA of the two groups of firms. To investigate the difference in WCM policy between the two firm groups, the independent samples t-test was applied, which indicated that both consumer goods firms and construction firms have applied conservative WCFP.

The research findings imply that indusry specificity may be a factor explaining the difference in the impact of WCM components on ROA between different industries. From the financial management theory perspective, the research findings confirmed the importance role of WCM in expaining firm profitability and the industry’s characteristics in explaining the different impacts of WCM on firm profitability belonging to different industries. From a practical point of view, the findings imply that construction firms’ management should focus on managing WC because WCM has a significant impact on construction firms’ profitability. However, our findings may be generalized with caution of the specific context in which the study was undertaken. Further research may consider external factors such as economic conditions and market structure in the research model.

Disclosure statement

No potential conflict of interest was reported by the author(s).

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Appendices Appendix 1:

List of Companies

Appendix 2.

Regression tests with GMM

xtabond2 ROA l.ROA DSO DIO DPO NWC SIZE LEV CR GRO, gmm(l.ROA DSO DIO DPO NWC SIZE, lag(7 6)collapse) iv(SIZE LEV CR GRO) h(3)small t

> wostep

Favoring space over speed. To switch, type or click on mata: mata set matafavor speed, perm.

Dynamic panel-data estimation, two-step system GMM

Warning: Uncorrected two-step standard errors are unreliable.

Instruments for first differences equation Standard

D.

(SIZE LEV CR GRO)

GMM-type (missing = 0, separate instruments for each period unless collapsed) L(6/7). (L.ROA DSO DIO DPO NWC SIZE) collapsed

Instruments for levels equation Standard

SIZE LEV CR GRO

_cons

GMM-type (missing = 0, separate instruments for each period unless collapsed) DL5. (L.ROA DSO DIO DPO NWC SIZE) collapsed

Arellano-Bond test for AR(1) in first differences: z = −2.62 Pr > z = 0.009

Arellano-Bond test for AR(2) in first differences: z = 0.93 Pr > z = 0.353

Sargan test of overid. restrictions: chi2(13) = 8.52 Prob > chi2 = 0.808

(Not robust, but not weakened by many instruments.)

Hansen test of overid. restrictions: chi2(13) = 9.50 Prob > chi2 = 0.734

(Robust, but weakened by many instruments.)

Difference-in-Hansen tests of exogeneity of instrument subsets:

GMM instruments for levels

Hansen test excluding group:chi2(7) = 7.00 Prob > chi2 = 0.429

Difference (null H = exogenous): chi2(6) = 2.51 Prob > chi2 = 0.868

iv(SIZE LEV CR GRO)

Hansen test excluding group:chi2(9) = 8.72 Prob > chi2 = 0.463

Difference (null H = exogenous): chi2(4) = 0.78 Prob > chi2 = 0.941