4.1. Descriptive Statistics
Table 4 presents a comprehensive overview of the summary statistics for all variables incorporated into the research models. Panel (A) shows descriptive statistics for the full sample; this includes the mean, median, standard deviation (SD), 25th percentile (P25), and 75th percentile (P75). Furthermore, panel (B) shows two-sample T-test according to overinvestment and underinvestment.
Table 4 summarizes the results of descriptive statistics: IE shows an overall mean of (−0.024), with high dispersion and variation between firms and through the research period. WACC shows a mean of (0.135) for the full sample, and firms with underinvestment have higher significant costs of capital (0.138) compared to firms that have overinvestment (0.131). Moreover, COE exhibits a mean of (0.164), (0.167), and (0.159) for the full sample, firms with underinvestment and firms with overinvestment, respectively. Furthermore, COD is higher for firms with overinvestment (0.024) compared to firms with underinvestment (0.022) and (0.017) for the full sample. AC shows a mean of (4.286), indicating high levels of AC practices and high levels of unrecorded goodwill with high heterogeneity in the practices of AC. In addition, firms with underinvestment are more conservative (4.742) compared to firms with overinvestment (3.663).
It is important to note, as shown in
Table 3, that the MTB ratio (AC proxy) exhibits a relatively high mean (4.286) and substantial dispersion (SD = 9.273). This high variance is reflective of the institutional setting of the Saudi capital market, which contains a stark contrast between highly valued, capital-intensive firms or fast-growing sectors supported by Saudi Vision 2030 and more traditional, mature industries. The wide dispersion highlights that while MTB captures conservative reporting, it is simultaneously influenced by heterogeneous market-based valuation effects unique to an emerging and rapidly transitioning economy.
4.2. Correlation Analysis Results
Table 5 presents the Pearson correlation matrix, which provides a preliminary understanding of the linear relationships among the current study’s variables. Correlation coefficients are employed to determine both the direction and strength of the linear relationship between any two variables included in this research.
The Pearson’s correlation matrix reported in
Table 4 reveals that there is positive significant correlation between IE and AC. In contrast, there is no significant correlation between AC practices and WACC and COE. On the other hand, there is negative significant correlation between AC and COD.
Table 5 presents the pairwise correlation matrix along with its associated
p-values reported in parentheses. The preliminary analysis of the correlation coefficients indicates that multicollinearity is unlikely to pose a threat to the validity of our subsequent regression estimations. The econometric literature widely suggests that multicollinearity becomes a serious concern only when pairwise correlation coefficients exceed a conservative threshold of 0.70 or 0.80. In our dataset, all coefficients remain well below this threshold. For instance, the independent variable of interest, Market-to-Book ratio (5) (MTB), displays low and statistically manageable correlations with the cost of capital components, such as its correlation with (2) WACC (r = −0.018,
p = 0.578), (3) COE (r = −0.053 *,
p = 0.102), and (4) COD (r = −0.013,
p = 0.700). Even the highest correlation observed among the control variables, which occurs between (6) Size and (7) Lev (r = 0.521 ***,
p = 0.000), remains safely below the problematic benchmark. These initial statistics confirm that the chosen explanatory and control variables capture distinct corporate characteristics, fully justifying their joint inclusion within the final OLS regression models.
4.3. Testing Hypotheses
Examining the direct impact of AC practices on IE, several goodness-of-fit tests should be performed to verify that the proposed model in the current research accurately represents the sample data. The tests include multicollinearity, heteroskedasticity, omitted variables, and autocorrelation. All these assumptions must be considered before estimating the final pooled OLS model.
In brief, to test the hypotheses, the research estimates pooled Ordinary Least Squares (OLS) regression models. Given the longitudinal nature of our firm-year observations, the research implements several controls and diagnostic safeguards to ensure the validity of our statistical inferences. The research includes sector fixed effects to control for unobserved, time-invariant industry variations and year fixed effects to capture macroeconomic shocks or structural shifts over time in the Saudi market. In addition, panel (B) in each table shows the goodness of fit.
4.3.1. Analyzing Direct Impact of Accounting Conservatism on Investment Efficiency
Table 6 reveals that regression models are significant since its Prob > F is less than 0.05. According to R-squared, AC explains 11.1%, 11.4%, and 15.3% of the variation in IE for the full sample, firms with underinvestment, and firms with overinvestment, respectively, indicating AC practices have significant importance for IE for listed firms in Saudi Arabia.
AC has symmetric effects on IE for all levels of analysis. Accordingly, research reveals a positive significant impact of AC on IE for the full sample, firms that have underinvestment and firms that have overinvestment. Moreover, firm size has symmetric effects, with no effect on IE for all levels of analysis.
In contrast, firm leverage has asymmetric effects on investment efficiency, revealing a positive effect on IE for the full sample and for firms that have underinvestment. In contrast, leverage has curvilinear effects on investment efficiency. Accordingly, the pattern of the curvilinear effect of Lev on IE takes the form of a U-shaped curve, meaning that Lev must reach a certain minimum threshold (44% with confidence interval between 29% and 60%), which is considered as a turning point beyond which leverage begins to increase the IE. This means that leverage must have a minimum percentage of 44% to increase investment efficiency. In terms of firm profitability, ROA has a symmetric effect, with no effect on IE for all levels of analysis. Moreover, cash holding has an symmetric effect, with a positive effect on IE for all levels of analysis.
To validate these parametric estimations, panel (B) documents the model’s goodness-of-fit and diagnostic properties. Multicollinearity is statistically negligible across all estimations, as evidenced by the Mean Variance Inflation Factor (VIF), which remains exceptionally low, ranging from 1.439 in the underinvestment sample to 1.452 in the overinvestment sample—well below the conservative threshold of 5.0. Ramsey’s RESET test for omitted variables confirms no severe specification bias, yielding high p-values across the board (e.g., p = 0.8599 for the full sample).
4.3.2. Analyzing Direct Impact of AC on WACC
Table 7 reveals that regression models are significant since its Prob > F is less than 0.05. According to R-squared, AC explains 19.1%, 17.2%, and 23.5% of the variation in WACC for the full sample, firms with underinvestment, and firms with overinvestment, respectively, indicating AC practices have significant importance for WACC for listed firms in Saudi Arabia.
AC has an asymmetric effect on WACC. Accordingly, research reveals MTB has no significant impact on WACC for the full sample. On the other hand, AC practices have a negative significant impact on WACC for firms that have underinvestment. In contrast, AC increases the WACC for firms that have overinvestment.
Moreover, firm size has an asymmetric effect; it has no effect on WACC for firms that have overinvestment. In contrast, size has a curvilinear effect on WACC, taking the form of a U-shaped curve for the full sample and for firms that have overinvestment, meaning that firm size must reach a certain maximum threshold (SAR 6 billion with confidence interval between 1 and 13 billion), which is considered as a turning point beyond which firm size begins to increase WACC. In terms of firm leverage, Lev has an symmetric effect; it has a positive effect on WACC for all levels of analysis. Moreover, ROA decreases WACC for all levels of analysis. Cash holding has an asymmetric effect; it has a positive effect on WACC for the full sample and for firms that have underinvestment. In contrast, cash holding has no effect on WACC for firms that have overinvestment.
4.3.3. Analyzing Direct Impact of AC on COE
Table 8 reveals that regression models are significant since its Prob > F is less than 0.05. According to R-squared, AC explains 33.1%, 49.2%, and 27.9% of the variation in COE for the full sample, firms with underinvestment, and firms with overinvestment, respectively, indicating AC practices have significant importance for COE for listed firms in Saudi Arabia.
AC has an asymmetric effect on COE. Accordingly, research reveals MTB has a negative significant impact on COE for firms that have overinvestment. On the other hand, AC practices have a quadratic effect on COE for firms that have underinvestment, taking the form of an inverted U-shaped curve, meaning that AC must reach a certain minimum threshold (23 with confidence interval between 17 and 30), which is considered as a turning point beyond which MTB begins to decrease COE for firms that have underinvestment. In contrast, AC practices have no impact on COE for the full sample.
Moreover, firm size has an asymmetric effect; it has a positive effect on COE for firms that have underinvestment. In contrast, size has a curvilinear effect on COE and takes the form of a U-shaped curve for the full sample and for firms that have overinvestment, meaning that firm size must reach a certain maximum threshold (SAR 860 million with confidence interval between 450 million and 2.2 billion), which is considered as a turning point beyond which firm size begins to increase COE.
In terms of firm leverage, Lev has an asymmetric effect; it has no effect on COE for firms that have overinvestment and firms that have underinvestment. In contrast, leverage has a curvilinear effect on COE. Accordingly, the pattern of the curvilinear effect of Lev on COE takes the form of a U-shaped curve, meaning that Lev must reach a certain maximum threshold (45% with confidence interval between 28% and 64%), which is considered as a turning point beyond which leverage begins to increase the COE, meaning that leverage must have a maximum percentage of 44% to decrease COE. Moreover, ROA has a negative effect on COE for the full sample and for firms that have underinvestment. In contrast, ROA has a curvilinear effect on COE and takes the form of a U-shaped curve, meaning that ROA has a threshold (9% with confidence interval between 2% and 15%), which is considered as a turning point beyond which ROA begins to increase the COE. In terms of firm cash holding, cash holding has an asymmetric effect. It has no effect on COE for firms that have overinvestment and firms that have underinvestment. In contrast, cash holding has a curvilinear effect on COE. Accordingly, the pattern of the curvilinear effect of cash holding on COE takes the form of a U-shaped curve, meaning that cash holding must reach a certain maximum threshold (28% with confidence interval between 20% and 35%), which is considered as a turning point beyond which cash holding begins to increase the COE. This means that leverage must have a maximum percentage of 4428 to decrease COE.
4.3.4. Analyzing Direct Impact of AC on COD
Table 9 reveals that regression models are significant since its Prob > F is less than 0.05. According to R-squared, AC explains 25.7%, 47.1%, and 57.2% of the variation in COD for the full sample, firms with underinvestment, and firms with overinvestment, respectively, indicating AC practices have significant importance for COD for listed firms in Saudi Arabia.
AC has an asymmetric effect on COD. Accordingly, research reveals MTB has a positive significant impact on COD for firms that have underinvestment. On the other hand, AC practices have no effect on COD for the full sample and for firms that have overinvestment.
Moreover, firm size has an asymmetric effect. It has a positive effect on COD for full-sample firms that have underinvestment. In contrast, size has a curvilinear effect on COD and takes the form of an inverted U-shaped curve for firms that have overinvestment.
In terms of firm leverage, Lev has an asymmetric effect; it has a positive effect on COD for the full sample and firms that have overinvestment. In contrast, leverage has a curvilinear effect on COD for firms that have underinvestment. Accordingly, the pattern of the curvilinear effect of Lev on COD takes the form of an inverted U-shaped curve. Moreover, ROA has a negative effect on COD for all levels of analysis. Concerning cash holding, it has a negative impact on COD for all levels of analysis.
The statistical properties and goodness-of-fit indicators are reported in panel (B). Multicollinearity is thoroughly ruled out as a threat to our estimations, with the Mean Variance Inflation Factor (VIF) settling at an identical, safe range between 1.439 and 1.452 across all regressions. The null hypothesis of homoskedasticity cannot be rejected across the models, as indicated by the highly insignificant test statistics (e.g., a test score of 0.00, p = 0.9791 for the full sample, and 0.02, p = 0.8786 for the underinvestment sample). Crucially, the Wooldridge test confirms the severe presence of first-order serial correlation across all specifications, notably yielding high test statistics in the full sample (test statistic = 72.177, p = 0.0000) and the overinvestment sub-sample (test statistic = 62.951, p = 0.0000).