Robustness tests for addressing endogeneity
| Panel A: 2SLS regression | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| (1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | (9) | |
| Variables | 1st stage | 1st stage | 1st stage | 2nd stage | 2nd stage | 2nd stage | 2nd stage | 2nd stage | 2nd stage |
| CSR | ENV | SOC | ROA | ROA | ROA | ROE | ROE | ROE | |
| Ind_CSR | 0.009*** | ||||||||
| (7.348) | |||||||||
| Ind_ENV | 0.558*** | ||||||||
| (16.114) | |||||||||
| Ind_SOC | 0.464*** | ||||||||
| (11.082) | |||||||||
| CSR_P | 0.008 | −0.137 | |||||||
| (0.099) | (−0.639) | ||||||||
| CSR_P×CSR_COM | 0.085*** | 0.108** | |||||||
| (3.537) | (2.159) | ||||||||
| ENV_P | −0.058 | −1.002** | |||||||
| (−0.453) | (−2.190) | ||||||||
| ENV_P×CSR_COM | 0.094*** | 0.109** | |||||||
| (3.745) | (2.147) | ||||||||
| SOC_P | −0.054* | −0.060 | |||||||
| (−1.716) | (−0.619) | ||||||||
| SOC_P×CSR_COM | 0.052*** | 0.056** | |||||||
| (3.845) | (2.062) | ||||||||
| CSR_COM | −0.044*** | −0.047*** | −0.028*** | −0.053** | −0.053** | −0.028* | |||
| (−3.625) | (−3.779) | (−3.943) | (−2.133) | (−2.121) | (−1.954) | ||||
| Constant | −0.411*** | −0.077 | −0.108 | −0.442*** | −0.455*** | −0.470*** | −0.807*** | −0.976*** | −0.812*** |
| (−7.803) | (−0.808) | (−1.128) | (−4.110) | (−4.245) | (−4.322) | (−4.804) | (−5.233) | (−4.727) | |
| Year FE | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
| Firm FE | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
| Wu–Hausman test | 0.002 | 0.001 | 0.001 | 0.004 | 0.002 | 0.002 | |||
| Weak instrument test | 0.000 | 0.000 | 0.000 | 0.001 | 0.000 | 0.000 | |||
| Observations | 12,285 | 12,278 | 12,278 | 12,278 | 12,278 | 12,278 | 12,278 | 12,278 | 12,278 |
| Adjusted-R2 | 0.290 | 0.844 | 0.834 | 0.562 | 0.562 | 0.562 | 0.414 | 0.414 | 0.414 |
| Panel A: 2SLS regression | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| (1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | (9) | |
| Variables | 1st stage | 1st stage | 1st stage | 2nd stage | 2nd stage | 2nd stage | 2nd stage | 2nd stage | 2nd stage |
| CSR | ENV | SOC | ROA | ROA | ROA | ROE | ROE | ROE | |
| Ind_CSR | 0.009*** | ||||||||
| (7.348) | |||||||||
| Ind_ENV | 0.558*** | ||||||||
| (16.114) | |||||||||
| Ind_SOC | 0.464*** | ||||||||
| (11.082) | |||||||||
| CSR_P | 0.008 | −0.137 | |||||||
| (0.099) | (−0.639) | ||||||||
| CSR_P×CSR_COM | 0.085*** | 0.108** | |||||||
| (3.537) | (2.159) | ||||||||
| ENV_P | −0.058 | −1.002** | |||||||
| (−0.453) | (−2.190) | ||||||||
| ENV_P×CSR_COM | 0.094*** | 0.109** | |||||||
| (3.745) | (2.147) | ||||||||
| SOC_P | −0.054* | −0.060 | |||||||
| (−1.716) | (−0.619) | ||||||||
| SOC_P×CSR_COM | 0.052*** | 0.056** | |||||||
| (3.845) | (2.062) | ||||||||
| CSR_COM | −0.044*** | −0.047*** | −0.028*** | −0.053** | −0.053** | −0.028* | |||
| (−3.625) | (−3.779) | (−3.943) | (−2.133) | (−2.121) | (−1.954) | ||||
| Constant | −0.411*** | −0.077 | −0.108 | −0.442*** | −0.455*** | −0.470*** | −0.807*** | −0.976*** | −0.812*** |
| (−7.803) | (−0.808) | (−1.128) | (−4.110) | (−4.245) | (−4.322) | (−4.804) | (−5.233) | (−4.727) | |
| Year FE | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
| Firm FE | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
| Wu–Hausman test | 0.002 | 0.001 | 0.001 | 0.004 | 0.002 | 0.002 | |||
| Weak instrument test | 0.000 | 0.000 | 0.000 | 0.001 | 0.000 | 0.000 | |||
| Observations | 12,285 | 12,278 | 12,278 | 12,278 | 12,278 | 12,278 | 12,278 | 12,278 | 12,278 |
| Adjusted- | 0.290 | 0.844 | 0.834 | 0.562 | 0.562 | 0.562 | 0.414 | 0.414 | 0.414 |
| Panel B: GMM regressions | ||||||
|---|---|---|---|---|---|---|
| (1) | (2) | (3) | (4) | (5) | (6) | |
| Variables | ROA | ROA | ROA | ROE | ROE | ROE |
| L.ROA/l.ROE | 0.040 | 0.020 | 0.132 | −0.019 | −0.125 | 0.707 |
| (0.55) | (0.28 | (0.92) | (−0.08) | (−0.51) | (0.31) | |
| CSR | −0.648*** | −0.0162** | ||||
| (−2.71) | (−2.36) | |||||
| CSR×CSR_COM | 0.508*** | 1.731*** | ||||
| (2.66) | (2.76) | |||||
| ENV | −0.220*** | −0.730*** | ||||
| (−3.07) | (−2.90) | |||||
| ENV×CSR_COM | 0.172*** | 0.701*** | ||||
| (2.61) | (2.90) | |||||
| SOC | −0.241** | −0.775** | ||||
| (−2.37) | (−2.45) | |||||
| SOC×CSR_COM | 0.204** | 0.657*** | ||||
| (2.28) | (2.69) | |||||
| CSR_COM | −0.199* | −0.064 | −0.062* | −0.753*** | −0.303** | −0.226* |
| (−2.45) | (−1.62) | (−1.70) | (−2.62) | (−1.99) | (−1.94) | |
| Constant | 0.128 | −0.134 | −0.177 | 1.572 | 0.296 | 0.296 |
| (−0.21) | (−0.47) | (−0.65) | (1.52) | (0.29) | (0.29) | |
| Baseline controls | YES | YES | YES | YES | YES | YES |
| Observations | 10,915 | 10,915 | 10,915 | 10,915 | 10,915 | 10,915 |
| Instruments | 17 | 17 | 17 | 17 | 17 | 17 |
| AR1 | 0.000*** | 0.004*** | 000*** | 0.057** | 0.189 | 0.189 |
| AR2 | 0.401 | 0.371 | 0.673 | 0.440 | 0.245 | 0.245 |
| Hansen J. | 0.736 | 0.511 | 0.385 | 0.170 | 0.399 | 0.399 |
| Panel B: GMM regressions | ||||||
|---|---|---|---|---|---|---|
| (1) | (2) | (3) | (4) | (5) | (6) | |
| Variables | ROA | ROA | ROA | ROE | ROE | ROE |
| L.ROA/l.ROE | 0.040 | 0.020 | 0.132 | −0.019 | −0.125 | 0.707 |
| (0.55) | (0.28 | (0.92) | (−0.08) | (−0.51) | (0.31) | |
| CSR | −0.648*** | −0.0162** | ||||
| (−2.71) | (−2.36) | |||||
| CSR×CSR_COM | 0.508*** | 1.731*** | ||||
| (2.66) | (2.76) | |||||
| ENV | −0.220*** | −0.730*** | ||||
| (−3.07) | (−2.90) | |||||
| ENV×CSR_COM | 0.172*** | 0.701*** | ||||
| (2.61) | (2.90) | |||||
| SOC | −0.241** | −0.775** | ||||
| (−2.37) | (−2.45) | |||||
| SOC×CSR_COM | 0.204** | 0.657*** | ||||
| (2.28) | (2.69) | |||||
| CSR_COM | −0.199* | −0.064 | −0.062* | −0.753*** | −0.303** | −0.226* |
| (−2.45) | (−1.62) | (−1.70) | (−2.62) | (−1.99) | (−1.94) | |
| Constant | 0.128 | −0.134 | −0.177 | 1.572 | 0.296 | 0.296 |
| (−0.21) | (−0.47) | (−0.65) | (1.52) | (0.29) | (0.29) | |
| Baseline controls | YES | YES | YES | YES | YES | YES |
| Observations | 10,915 | 10,915 | 10,915 | 10,915 | 10,915 | 10,915 |
| Instruments | 17 | 17 | 17 | 17 | 17 | 17 |
| AR1 | 0.000*** | 0.004*** | 000*** | 0.057** | 0.189 | 0.189 |
| AR2 | 0.401 | 0.371 | 0.673 | 0.440 | 0.245 | 0.245 |
| Hansen J. | 0.736 | 0.511 | 0.385 | 0.170 | 0.399 | 0.399 |
| Panel C: Quality of matching | ||||
|---|---|---|---|---|
| Firms with CSR committee (treated) | Firms without CSR committee (control) | Treat - control | t-stats | |
| Pscore | 0.4107522 | 0.4107508 | 1.35e−06 | 0.0002 |
| ROA | 0.0344014 | 0.0419765 | 0.0075751 | 2.0459 |
| Matching variables | ||||
| LEVERAGE | 0.2174666 | 0.2235537 | −0.0060871 | −0.9089 |
| SIZE | 15.03716 | 15.01636 | 0.0207981 | 0.3506 |
| GROWTH | 0.0933761 | 0.0907836 | 0.0025926 | 0.2153 |
| B_SIZE | 2.193252 | 2.16697 | 0.0262819 | 1.7275* |
| B_IND | 0.3489718 | 0.3498637 | −0.0008918 | −0.0903 |
| IQ | 77.12744 | 78.24271 | −1.115266 | −3.5371*** |
| GDP | 2.955151 | 2.935896 | 0.0192549 | 0.2032 |
| Panel C: Quality of matching | ||||
|---|---|---|---|---|
| Firms with CSR committee (treated) | Firms without CSR committee (control) | Treat - control | t-stats | |
| Pscore | 0.4107522 | 0.4107508 | 1.35e−06 | 0.0002 |
| ROA | 0.0344014 | 0.0419765 | 0.0075751 | 2.0459 |
| LEVERAGE | 0.2174666 | 0.2235537 | −0.0060871 | −0.9089 |
| SIZE | 15.03716 | 15.01636 | 0.0207981 | 0.3506 |
| GROWTH | 0.0933761 | 0.0907836 | 0.0025926 | 0.2153 |
| B_SIZE | 2.193252 | 2.16697 | 0.0262819 | 1.7275* |
| B_IND | 0.3489718 | 0.3498637 | −0.0008918 | −0.0903 |
| IQ | 77.12744 | 78.24271 | −1.115266 | −3.5371*** |
| GDP | 2.955151 | 2.935896 | 0.0192549 | 0.2032 |
| Panel D: PSM regression | ||||||
|---|---|---|---|---|---|---|
| (1) | (2) | (3) | (4) | (5) | (6) | |
| Variables | ROA | ROA | ROA | ROE | ROE | ROE |
| CSR | 0.015 | 0.057 | ||||
| (0.973) | (1.613) | |||||
| CSR×CSR_COM | 0.072*** | 0.114** | ||||
| (3.017) | (2.117) | |||||
| ENV | −0.005 | 0.005 | ||||
| (−0.697) | (0.253) | |||||
| ENV×CSR_COM | 0.034*** | 0.050* | ||||
| (2.635) | (1.829) | |||||
| SOC | −0.004 | 0.018 | ||||
| (−0.496) | (0.865) | |||||
| SOC×CSR_COM | 0.051*** | 0.081*** | ||||
| (3.817) | (2.779) | |||||
| CSR_COM | −0.051*** | −0.029*** | −0.038*** | −0.080*** | −0.042** | −0.062*** |
| (−3.966) | (−3.140) | (−4.577) | (−2.922) | (−2.191) | (−3.730) | |
| Constant | −0.010 | −0.011 | −0.007 | 0.119 | 0.122 | 0.134 |
| (−0.216) | (−0.233) | (−0.154) | (1.164) | (1.195) | (1.310) | |
| Year FE | Yes | Yes | Yes | Yes | Yes | Yes |
| Firm FE | Yes | Yes | Yes | Yes | Yes | Yes |
| Baseline controls | Yes | Yes | Yes | Yes | Yes | Yes |
| Observations | 2,870 | 2,870 | 2,870 | 2,870 | 2,870 | 2,870 |
| Adjusted-R2 | 0.151 | 0.146 | 0.151 | 0.0947 | 0.0904 | 0.0951 |
| Panel D: PSM regression | ||||||
|---|---|---|---|---|---|---|
| (1) | (2) | (3) | (4) | (5) | (6) | |
| Variables | ROA | ROA | ROA | ROE | ROE | ROE |
| CSR | 0.015 | 0.057 | ||||
| (0.973) | (1.613) | |||||
| CSR×CSR_COM | 0.072*** | 0.114** | ||||
| (3.017) | (2.117) | |||||
| ENV | −0.005 | 0.005 | ||||
| (−0.697) | (0.253) | |||||
| ENV×CSR_COM | 0.034*** | 0.050* | ||||
| (2.635) | (1.829) | |||||
| SOC | −0.004 | 0.018 | ||||
| (−0.496) | (0.865) | |||||
| SOC×CSR_COM | 0.051*** | 0.081*** | ||||
| (3.817) | (2.779) | |||||
| CSR_COM | −0.051*** | −0.029*** | −0.038*** | −0.080*** | −0.042** | −0.062*** |
| (−3.966) | (−3.140) | (−4.577) | (−2.922) | (−2.191) | (−3.730) | |
| Constant | −0.010 | −0.011 | −0.007 | 0.119 | 0.122 | 0.134 |
| (−0.216) | (−0.233) | (−0.154) | (1.164) | (1.195) | (1.310) | |
| Year FE | Yes | Yes | Yes | Yes | Yes | Yes |
| Firm FE | Yes | Yes | Yes | Yes | Yes | Yes |
| Baseline controls | Yes | Yes | Yes | Yes | Yes | Yes |
| Observations | 2,870 | 2,870 | 2,870 | 2,870 | 2,870 | 2,870 |
| Adjusted- | 0.151 | 0.146 | 0.151 | 0.0947 | 0.0904 | 0.0951 |
Note(s): This table presents results from various estimators addressing potential endogeneity concerns associated with CSR and FP. Panel A of the table reports 2SLS regression estimates. The average industry CSR, including its components, is used as the instrument for the firm’s CSR score. The predicted values of CSR, ENV and SOC (e.g. CSR_P, ENV_P, and SOC_P) estimated in the first-stage regression are used as independent variables in the second stage of the 2SLS (Columns 4–9). Panel B reports the estimates from the GMM model, an alternative approach for controlling endogeneity. Variable L. ROA/L, ROE indicates the lagged ROA and lagged ROE, respectively, with the baseline controls included as instruments. Panel C reports the quality of matching between the control and treated groups to confirm that the two samples' variables are not statistically different. Panel D reports estimates from propensity score matching (PSM) using the control and treatment groups to address concerns about sample selection bias. The regression models are estimated using year and firm fixed effects. Moreover, standard errors are adjusted for heteroscedasticity and serial correlation using firm-level clustering. t-statistics are reported in the parenthesis while the *, ** and *** denote statistical significance at the 10%, 5% and 1% levels, respectively
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