Descriptive analysis
The descriptive statistics reveal that all variables have positive mean values and relatively low volatility within their maximum and minimum ranges. The Jarque-Bera test and corresponding P-values indicate that each variable follows a normal distribution, as shown in Table 2. Additionally, the analysis demonstrates a strong and statistically significant (p>0.01) correlation between ROA and RDI, as well as ROA and EXI. Furthermore, the results indicate positive and significant correlations between NWCR and ROA, and LEV and ROA. These findings suggest that the variables under study exhibit favorable characteristics, and their relationships can be crucial in understanding the factors influencing Return on Assets (ROA).
Table: - 2 Descriptive Statistics
|
ROA
|
RDI
|
NFAT
|
LEV
|
EXI
|
NWCR
|
Mean
|
0.038
|
0.002
|
0.433
|
1.769
|
0.101
|
0.033
|
Median
|
0.036
|
0.002
|
0.426
|
1.773
|
0.100
|
0.029
|
Maximum
|
0.084
|
0.004
|
0.569
|
1.818
|
0.178
|
0.139
|
Minimum
|
0.001
|
0.001
|
0.326
|
1.702
|
0.033
|
-0.042
|
Std. Dev.
|
0.024
|
0.001
|
0.056
|
0.027
|
0.045
|
0.045
|
Skewness
|
0.579
|
0.266
|
0.725
|
-0.541
|
0.151
|
0.376
|
Kurtosis
|
2.268
|
2.766
|
3.566
|
3.272
|
1.693
|
2.559
|
Jarque-Bera
|
2.657
|
0.478
|
3.431
|
1.764
|
2.547
|
1.076
|
Probability
|
0.265
|
0.787
|
0.180
|
0.414
|
0.280
|
0.584
|
Correlation
|
ROA
|
1
|
|
|
|
|
|
RDI
|
-0.283
|
1
|
|
|
|
|
NFAT
|
-0.232
|
-0.107
|
1
|
|
|
|
LEV
|
0.121
|
-0.133
|
0.207
|
1
|
|
|
EXI
|
-0.150
|
0.124
|
-0.025
|
-0.399
|
1
|
|
NWCR
|
0.527
|
-0.065
|
0.106
|
0.448
|
-0.705
|
1
|
The unit root analysis was conducted using the Augmented Dickey-Fuller test (ADF) proposed by Dickey and Fuller (1979) and the Philips Peron (PP) test developed by Phillips and Perron (1988). Table 3 presents the results of the unit root estimations, confirming that all the regressors, as well as the regress and, exhibit non-stationarity at their original levels, displaying trends. However, after taking the first difference of the time series, all variables became stationary. Furthermore, the analysis also reveals that none of the variables show second-order integration or I(2) characteristics. These findings demonstrate the effectiveness of the first differencing approach in achieving stationarity and support the absence of higher order integration among the variables. These results are important in the context of time series analysis as they ensure the appropriateness of subsequent modeling and statistical inferences based on these variables.
Table: - 3 Unit Root Test
|
Variable
|
Level
|
1st Difference
|
Outcome
|
|
Intercept
|
Trend & Intercept
|
Intercept
|
Trend & Intercept
|
|
Augmented Dickey-Fuller test
|
ROA
|
-1.428
|
-1.470
|
-5.219***
|
-5.206***
|
I(1)
|
RDI
|
-1.015
|
-1.253
|
-6.047***
|
-6.995***
|
I(1)
|
NFAT
|
-3.352**
|
-3.708**
|
-5.246***
|
-5.149***
|
I(0)/I(1)
|
LEV
|
-2.062
|
-1.878
|
-5.970***
|
-5.964***
|
I(1)
|
EXI
|
-1.573
|
-1.512
|
-7.362***
|
-7.511***
|
I(1)
|
NWCR
|
-2.031
|
-1.900
|
-5.617***
|
-6.552***
|
I(1)
|
Phillips-perron Test
|
|
|
|
|
ROA
|
-1.592
|
-1.615
|
-5.216***
|
-5.233***
|
I(1)
|
RDI
|
-1.352
|
-1.280
|
-6.390***
|
-6.203***
|
I(1)
|
NFAT
|
-2.297
|
-2.586
|
-5.240***
|
-5.139***
|
I(1)
|
LEV
|
-2.107
|
-1.921
|
-6.090***
|
-6.077***
|
I(1)
|
EXI
|
-1.470
|
-1.370
|
-7.342***
|
-7.742***
|
I(1)
|
NWCR
|
-2.118
|
-1.759
|
-5.618***
|
-6.711***
|
I(1)
|
Note: *** and ** rejected the null hypothesis at 1% and 5% significance levels, respectively.
|
Table 4 presents the results of the Granger Causality (GC) Test conducted to assess the causality relationship between the variables in the study. This test was given by Granger., (1969), test is constructed on the null hypothesis that one variable does not Granger cause the other variable. The test is performed with a lag of 2 periods. The long-run bidirectional causality is only determined between ROA and NFAT with the F-statistic value 3.604 and 3.762, failing to reject the null hypothesis. The causality between ROA to LEV has shown the unidirectional. The null hypotheses are rejected in both cases, suggesting a significant Granger-causality relationship. The long-run unidirectional causality between NWCR to ROA and EXI to ROA, where the null hypothesis is not rejected, indicates a significant GC relationship between the variables.
Overall, the GC Test results provide insights into the directional and significance of causal relationships between variables in the study, helping to understand the dynamics and interactions among them.
Table: - 4 Granger Causality Test
The ARDL approach (Table 5), indicates that the F-statistics for the model are 5.894, and they are statistically significant, exceeding the upper limit in both models. As a result, null hypothesis is rejected, providing evidence of co-integration between the determinants. Next is the lag selection criterion (AIC) criterion to determine the optimal lag length for the model.
To ensure appropriate lag length specification, determine the lag selected is 2. The VAR Granger Causality/Block Exogeneity Wald test reveals causation from the model with a lag of 2. To comprehensively examine the relationships, we performed tests for both short-term and long-term associations (error correction models) in the ARDL model (Tables 6 and 7).
Table: - 5 Estimates based on the Bounds test
|
F-Bounds Test
|
Value
|
Signif.
|
I(0)
|
I(1)
|
Decision
|
F-statistic
|
5.894
|
1%
|
3.79
|
4.85
|
Cointegration
|
K
|
5
|
|
|
|
The short-run analysis reveals that the RDI and RDIt-2 have a significant negative influence on ROA. Specifically, a 1% growth in RDI and RDIt-2 leads to a decrease in profitability by -7.572% and -6.893%, respectively. Furthermore, the variable Leverage (LEV) exhibits a negative and significant association with ROA, implying that a 1% increase in LEV results in a -0.194% decrease in profitability.
Conversely, EXI, NWCR, and its lagged term of NWCR demonstrate significant positive associations with ROA. A 1% increase in EXI, NWCR, and NWCRt-1 leads to consecutive rises in firm profitability by 0.189%, 0.266%, and 0.304%, respectively. The variable NFAT exhibits a negative impact on profitability, although the association is statistically insignificant, as shown in table 6.
Table: - 6 Short-Run ARDL Estimates
|
|
Lags
|
(1, 2, 0, 0, 0, 2)
|
|
|
|
|
Variable
|
Coefficient
|
Std. Error
|
t-Statistic
|
Prob.*
|
|
ECT
|
-0.612
|
-0.219
|
-2.794
|
0.011
|
|
ROA t-1
|
0.388
|
0.128
|
3.020
|
0.007
|
|
RDI
|
-7.572
|
2.357
|
-3.213
|
0.004
|
|
RDI t-1
|
-0.565
|
4.466
|
-0.127
|
0.901
|
|
RDI t-2
|
-6.893
|
3.077
|
-2.240
|
0.036
|
|
NFAT
|
-0.020
|
0.057
|
-0.356
|
0.725
|
|
LEV
|
-0.194
|
0.101
|
-1.931
|
0.067
|
|
EXI
|
0.189
|
0.066
|
2.849
|
0.010
|
|
NWCR
|
0.266
|
0.144
|
1.847
|
0.078
|
|
NWCR t-1
|
0.304
|
0.136
|
2.231
|
0.037
|
|
NWCR t-2
|
-0.129
|
0.118
|
-1.089
|
0.288
|
|
C
|
0.376
|
0.160
|
2.354
|
0.028
|
|
R2
|
0.803
|
|
|
|
|
Adj. R2
|
0.749
|
|
|
|
|
F-statistic
(Prob.)
|
10.29
0.000
|
|
|
|
|
Durbin-Watson stat
|
2.147
|
|
|
|
|
Source: Authors’ compilation
|
The ARDL (1, 2, 0, 0, 0, 2) presented in table, model exhibits a good fit with an R-squared value of 74.79%, demonstrating no autocorrelation. The cointegrating equation as Eq. 1: -
ROA = 0.388*ROA (-1) - 7.572*RDI - 0.565*RDI (-1) - 6.893*RDI (-2) - 0.020*NFAT - 0.194*LEV + 0.189*EXI + 0.266*NWCR + 0.304*NWCR (-1) -0.129 NWCR (-2) + 0.376………Eq. 1
Cointegrating Equation: -
D(ROA) = 0.376 -0.612*ROA (-1) -13.796*RDI(-1) -0.398*NFAT(-1) -13.796*RDI(-1) -0.398*NFAT(-1) + 0.446*LEV(-1) -0.261*EXI(-1) + 0.166*NWCR(-1) -0.011*D(ROA(-1)) -7.571*D(RDI) + 5.573*D(RDI(-1)) -0.138*D(NFAT) + 0.076*D(NFAT(-1)) -0.011*D(LEV) -0.346*D(LEV(-1)) + 0.058*D(EXI) + 0.210*D(EXI(-1)) + 0.065*(ROA - (-24.541*RDI(-1) – 0.033*NFAT(-1) -0.317*LEV(-1) + 0.309*EXI(-1) + 0.720*NWCR(-1) ) + 0.376*D(RDI) ) ………Eq. 2
In the long run, approximately 61% of the deviation in ROA is corrected in nineteen months, returning the variable to its long-run equilibrium, as indicated by Eq. 2.
Table: - 7 Long-Run ARDL Estimates
|
|
Lags
|
(1, 2, 0, 0, 0, 2)
|
|
|
|
Variable
|
Coefficient
|
Std. Error
|
t-Statistic
|
Prob.*
|
RDI
|
-24.541
|
8.930
|
-2.748
|
0.012
|
NFAT
|
-0.033
|
0.089
|
-0.375
|
0.712
|
LEV
|
-0.317
|
0.186
|
-1.703
|
0.103
|
EXI
|
0.309
|
0.107
|
2.872
|
0.009
|
NWCR
|
0.720
|
0.197
|
3.664
|
0.001
|
Source: Authors’ compilation
|
The long-run analysis reveals that the RDI significantly negatively influences ROA. Specifically, a 1% growth in RDI leads to a decrease in profitability by -24.541. Excessive investment in research and development (R&D) can negatively impact the profitability of Indian inorganic chemical companies due to high initial costs and uncertain results. EXI and NWCR demonstrate significant positive associations with ROA. A 1% increase in EXI and NWCR leads to rises in firm profitability by 0.309% and 0.720%, respectively. Firms can reduce their dependence on the domestic market and mitigate risks associated with fluctuations in local demand and economic conditions. Moreover, fluctuations in exchange rates can create opportunities for these firms to achieve price competitiveness in foreign markets. Effective operations management in inorganic firms, as reflected in the NWCR, is instrumental in attaining improved financial stability. Moreover, a positive NWCR enhances the firm's creditworthiness, leading to better credit terms and lower interest rates when accessing capital. These favourable financial conditions contribute to the overall profitability of the inorganic firm. The variables NFAT and LEV negatively impact profitability, although the association is statistically insignificant, as shown in table 7.
Table: - 8 Residual Diagnostics
|
LM
(Prob.)
|
0.210
(0.812)
|
Heteroskedasticity Test
(Prob.)
|
0.901
(0.548)
|
Jarque-Bera
(Prob.)
|
0.771
(0.679)
|
CUSUM
|
Stable
|
CUSUM - Sq.
|
Stable
|
Source: Authors’ compilation
|
In the diagnostic phase in table 8, tests are conducted to ensure the adequacy and stability of the model. Firstly, an examination of residual normality is performed, along with the presence of serial correlation and the homoscedasticity of residuals. Secondly, the model's stability is verified using the Ramsey RESET test. Additionally, two tests, namely the Cumulative Sum of Recursive Residuals (CUSUM) and Cumulative Sum of Square of Recursive Residuals (CUSUMSQ) as seen in figure 1, are utilized to assess the model's stability further.