First-Difference regression of ESG Pillars on Beta
| Variables | (1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | (9) |
|---|---|---|---|---|---|---|---|---|---|
| 3-year Beta minus 5-year Beta | 3-year Beta + minus 5-year Beta+ | 3-year Beta- minus 5-year Beta- | 3-year Beta minus 5-year Beta | 3-year Beta + minus 5-year Beta+ | 3-year Beta- minus 5-year Beta- | 3-year Beta minus 5-year Beta | 3-year Beta + minus 5-year Beta+ | 3-year Beta- minus 5-year Beta- | |
| Environmentalt – Environmentalt-5 | 0.0001 | −0.0000 | 0.0002** | ||||||
| (0.0001) | (0.0001) | (0.0001) | |||||||
| Socialt – Socialt-5 | 0.0003*** | 0.0002* | 0.0004*** | ||||||
| (0.0001) | (0.0001) | (0.0001) | |||||||
| Governancet – Governancet-5 | 0.0002*** | 0.0001 | 0.0001* | ||||||
| (0.0001) | (0.0001) | (0.0001) | |||||||
| ROA | −0.0053*** | −0.0003 | −0.0030** | −0.0053*** | −0.0003 | −0.0030** | −0.0054*** | −0.0003 | −0.0030** |
| (0.0013) | (0.0016) | (0.0015) | (0.0013) | (0.0016) | (0.0015) | (0.0013) | (0.0016) | (0.0015) | |
| Employees | 0.0000 | −0.0000** | −0.0000 | 0.0000 | −0.0000** | −0.0000 | 0.0000 | −0.0000** | −0.0000 |
| (0.0000) | (0.0000) | (0.0000) | (0.0000) | (0.0000) | (0.0000) | (0.0000) | (0.0000) | (0.0000) | |
| Quick ratio | 0.0063 | −0.0004 | −0.0017 | 0.0065 | −0.0001 | −0.0015 | 0.0062 | −0.0004 | −0.0020 |
| (0.0064) | (0.0081) | (0.0074) | (0.0064) | (0.0081) | (0.0074) | (0.0064) | (0.0081) | (0.0074) | |
| Debt to equity ratio | −0.0002*** | −0.0006*** | −0.0005*** | −0.0002*** | −0.0006*** | −0.0005*** | −0.0003*** | −0.0006*** | −0.0005*** |
| (0.0001) | (0.0001) | (0.0001) | (0.0001) | (0.0001) | (0.0001) | (0.0001) | (0.0001) | (0.0001) | |
| Price-to-book | 0.0093** | 0.0248*** | 0.0286*** | 0.0091** | 0.0247*** | 0.0286*** | 0.0095** | 0.0248*** | 0.0287*** |
| (0.0039) | (0.0050) | (0.0046) | (0.0039) | (0.0050) | (0.0046) | (0.0039) | (0.0050) | (0.0046) | |
| Company age (log) | −0.0011 | −0.0240* | −0.0030 | −0.0003 | −0.0235* | −0.0018 | −0.0005 | −0.0237* | −0.0021 |
| (0.0108) | (0.0140) | (0.0128) | (0.0108) | (0.0140) | (0.0128) | (0.0108) | (0.0140) | (0.0128) | |
| Free Float | −0.0010*** | −0.0007** | −0.0004 | −0.0010*** | −0.0007** | −0.0004 | −0.0010*** | −0.0007*** | −0.0004 |
| (0.0003) | (0.0003) | (0.0002) | (0.0003) | (0.0003) | (0.0002) | (0.0003) | (0.0003) | (0.0002) | |
| Cash (% Assets) | 0.0697 | −0.0655 | 0.1342 | 0.0645 | −0.0686 | 0.1275 | 0.0716 | −0.0639 | 0.1347 |
| (0.0726) | (0.0952) | (0.0872) | (0.0725) | (0.0951) | (0.0871) | (0.0725) | (0.0951) | (0.0872) | |
| Market Cap (log) | 0.1041*** | 0.0740*** | 0.0826*** | 0.1040*** | 0.0741*** | 0.0826*** | 0.1037*** | 0.0737*** | 0.0821*** |
| (0.0057) | (0.0071) | (0.0065) | (0.0057) | (0.0071) | (0.0065) | (0.0057) | (0.0071) | (0.0065) | |
| R&D (% Assets) | 0.1109*** | 0.1861*** | −0.0063 | 0.1121*** | 0.1868*** | −0.0049 | 0.1092*** | 0.1847*** | −0.0078 |
| (0.0232) | (0.0334) | (0.0306) | (0.0232) | (0.0334) | (0.0306) | (0.0232) | (0.0334) | (0.0306) | |
| Constant | −2.1033*** | −1.8514** | −1.6639** | −2.1010*** | −1.8525** | −1.6621** | −2.1535*** | −1.8862** | −1.7038** |
| (0.5264) | (0.7746) | (0.7095) | (0.5260) | (0.7744) | (0.7093) | (0.5265) | (0.7749) | (0.7099) | |
| Sector Fixed Effects | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
| Country fixed effects | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
| Observations | 5,533 | 7,211 | 7,210 | 5,533 | 7,211 | 7,210 | 5,533 | 7,211 | 7,210 |
| Adj R-squared | 0.182 | 0.115 | 0.194 | 0.183 | 0.115 | 0.194 | 0.183 | 0.115 | 0.194 |
| F-stat | 8.684 | 6.798 | 11.77 | 8.746 | 6.821 | 11.81 | 8.727 | 6.813 | 11.76 |
| p-value | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| Variables | (1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | (9) |
|---|---|---|---|---|---|---|---|---|---|
| 3-year Beta minus 5-year Beta | 3-year Beta + minus 5-year Beta+ | 3-year Beta- minus 5-year Beta- | 3-year Beta minus 5-year Beta | 3-year Beta + minus 5-year Beta+ | 3-year Beta- minus 5-year Beta- | 3-year Beta minus 5-year Beta | 3-year Beta + minus 5-year Beta+ | 3-year Beta- minus 5-year Beta- | |
| Environmentalt – Environmentalt-5 | 0.0001 | −0.0000 | 0.0002** | ||||||
| (0.0001) | (0.0001) | (0.0001) | |||||||
| Socialt – Socialt-5 | 0.0003*** | 0.0002* | 0.0004*** | ||||||
| (0.0001) | (0.0001) | (0.0001) | |||||||
| Governancet – Governancet-5 | 0.0002*** | 0.0001 | 0.0001* | ||||||
| (0.0001) | (0.0001) | (0.0001) | |||||||
| −0.0053*** | −0.0003 | −0.0030** | −0.0053*** | −0.0003 | −0.0030** | −0.0054*** | −0.0003 | −0.0030** | |
| (0.0013) | (0.0016) | (0.0015) | (0.0013) | (0.0016) | (0.0015) | (0.0013) | (0.0016) | (0.0015) | |
| Employees | 0.0000 | −0.0000** | −0.0000 | 0.0000 | −0.0000** | −0.0000 | 0.0000 | −0.0000** | −0.0000 |
| (0.0000) | (0.0000) | (0.0000) | (0.0000) | (0.0000) | (0.0000) | (0.0000) | (0.0000) | (0.0000) | |
| Quick ratio | 0.0063 | −0.0004 | −0.0017 | 0.0065 | −0.0001 | −0.0015 | 0.0062 | −0.0004 | −0.0020 |
| (0.0064) | (0.0081) | (0.0074) | (0.0064) | (0.0081) | (0.0074) | (0.0064) | (0.0081) | (0.0074) | |
| Debt to equity ratio | −0.0002*** | −0.0006*** | −0.0005*** | −0.0002*** | −0.0006*** | −0.0005*** | −0.0003*** | −0.0006*** | −0.0005*** |
| (0.0001) | (0.0001) | (0.0001) | (0.0001) | (0.0001) | (0.0001) | (0.0001) | (0.0001) | (0.0001) | |
| Price-to-book | 0.0093** | 0.0248*** | 0.0286*** | 0.0091** | 0.0247*** | 0.0286*** | 0.0095** | 0.0248*** | 0.0287*** |
| (0.0039) | (0.0050) | (0.0046) | (0.0039) | (0.0050) | (0.0046) | (0.0039) | (0.0050) | (0.0046) | |
| Company age (log) | −0.0011 | −0.0240* | −0.0030 | −0.0003 | −0.0235* | −0.0018 | −0.0005 | −0.0237* | −0.0021 |
| (0.0108) | (0.0140) | (0.0128) | (0.0108) | (0.0140) | (0.0128) | (0.0108) | (0.0140) | (0.0128) | |
| Free Float | −0.0010*** | −0.0007** | −0.0004 | −0.0010*** | −0.0007** | −0.0004 | −0.0010*** | −0.0007*** | −0.0004 |
| (0.0003) | (0.0003) | (0.0002) | (0.0003) | (0.0003) | (0.0002) | (0.0003) | (0.0003) | (0.0002) | |
| Cash (% Assets) | 0.0697 | −0.0655 | 0.1342 | 0.0645 | −0.0686 | 0.1275 | 0.0716 | −0.0639 | 0.1347 |
| (0.0726) | (0.0952) | (0.0872) | (0.0725) | (0.0951) | (0.0871) | (0.0725) | (0.0951) | (0.0872) | |
| Market Cap (log) | 0.1041*** | 0.0740*** | 0.0826*** | 0.1040*** | 0.0741*** | 0.0826*** | 0.1037*** | 0.0737*** | 0.0821*** |
| (0.0057) | (0.0071) | (0.0065) | (0.0057) | (0.0071) | (0.0065) | (0.0057) | (0.0071) | (0.0065) | |
| R&D (% Assets) | 0.1109*** | 0.1861*** | −0.0063 | 0.1121*** | 0.1868*** | −0.0049 | 0.1092*** | 0.1847*** | −0.0078 |
| (0.0232) | (0.0334) | (0.0306) | (0.0232) | (0.0334) | (0.0306) | (0.0232) | (0.0334) | (0.0306) | |
| Constant | −2.1033*** | −1.8514** | −1.6639** | −2.1010*** | −1.8525** | −1.6621** | −2.1535*** | −1.8862** | −1.7038** |
| (0.5264) | (0.7746) | (0.7095) | (0.5260) | (0.7744) | (0.7093) | (0.5265) | (0.7749) | (0.7099) | |
| Sector Fixed Effects | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
| Country fixed effects | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
| Observations | 5,533 | 7,211 | 7,210 | 5,533 | 7,211 | 7,210 | 5,533 | 7,211 | 7,210 |
| Adj R-squared | 0.182 | 0.115 | 0.194 | 0.183 | 0.115 | 0.194 | 0.183 | 0.115 | 0.194 |
| F-stat | 8.684 | 6.798 | 11.77 | 8.746 | 6.821 | 11.81 | 8.727 | 6.813 | 11.76 |
| 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Note(s): This table presents first-difference regression results assessing the impact of changes in the three ESG pillars—Environmental, Social, and Governance—on firms' systematic risk. The dependent variables are the differences between 3-year and 5-year beta estimates: overall beta (columns 1, 4, 7), upside beta (β+; columns 2, 5, 8), and downside beta (β−; columns 3, 6, 9). The independent variables are changes in pillar-specific ESG scores over a 5-year window (Pillart – Pillart-5). Coefficients indicate how improvements in each ESG dimension relate to changes in market sensitivity. See Table 1 notes for variable definitions. Standard errors are reported in parentheses. *, **, and *** denote significance at the 10%, 5%, and 1% levels, respectively
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