Sustainable Investing and the Cross-Section of Returns and Maximum Drawdown
| OLS | Lasso | Ridge | ENet | PCR | PLS | RF | XGBoost | MLP | |
|---|---|---|---|---|---|---|---|---|---|
| All companies | 0.249 | 0.249 | 0.249 | 0.249 | 0.250 | 0.249 | 0.251 | 0.251 | 0.244 |
| Top 1000 companies (size) | 0.151 | 0.150 | 0.151 | 0.150 | 0.150 | 0.151 | 0.151 | 0.153 | 0.146 |
| Bottom 1000 companies (size) | 0.366 | 0.368 | 0.365 | 0.365 | 0.367 | 0.365 | 0.370 | 0.367 | 0.360 |
| OLS | Lasso | Ridge | ENet | PCR | PLS | RF | XGBoost | MLP | |
|---|---|---|---|---|---|---|---|---|---|
| All companies | 0.028 | 0.028 | 0.028 | 0.028 | 0.029 | 0.028 | 0.030 | 0.028 | 0.027 |
| Top 1000 companies (size) | 0.024 | 0.024 | 0.024 | 0.024 | 0.025 | 0.024 | 0.025 | 0.025 | 0.024 |
| Bottom 1000 companies (size) | 0.032 | 0.032 | 0.032 | 0.032 | 0.033 | 0.033 | 0.035 | 0.031 | 0.031 |
| OLS | Lasso | Ridge | ENet | PCR | PLS | RF | XGBoost | MLP | |
|---|---|---|---|---|---|---|---|---|---|
| base | 0.195 | 0.195 | 0.194 | 0.195 | 0.194 | 0.195 | 0.205 | 0.353 | 0.200 |
| base + E/S/G | 0.195 | 0.195 | 0.195 | 0.195 | 0.194 | 0.195 | 0.202 | 0.316 | 0.200 |
| base + ESG | 0.195 | 0.195 | 0.195 | 0.195 | 0.194 | 0.195 | 0.202 | 0.336 | 0.197 |
| base + TVL | 0.195 | 0.195 | 0.194 | 0.195 | 0.195 | 0.195 | 0.206 | 0.337 | 0.200 |
| base + E/S/G + TVL | 0.195 | 0.195 | 0.194 | 0.195 | 0.194 | 0.195 | 0.202 | 0.309 | 0.198 |
| base + ESG + TVL | 0.195 | 0.195 | 0.194 | 0.195 | 0.194 | 0.195 | 0.202 | 0.325 | 0.198 |
| OLS | Lasso | Ridge | ENet | PCR | PLS | RF | XGBoost | MLP | |
|---|---|---|---|---|---|---|---|---|---|
| base | 0.020 | 0.020 | 0.020 | 0.020 | 0.020 | 0.020 | 0.025 | 0.024 | 0.021 |
| base + E/S/G | 0.020 | 0.020 | 0.020 | 0.020 | 0.020 | 0.020 | 0.025 | 0.022 | 0.021 |
| base + ESG | 0.020 | 0.020 | 0.020 | 0.020 | 0.020 | 0.020 | 0.025 | 0.023 | 0.021 |
| base + TVL | 0.020 | 0.020 | 0.020 | 0.020 | 0.020 | 0.020 | 0.025 | 0.024 | 0.021 |
| base + E/S/G + TVL | 0.020 | 0.020 | 0.020 | 0.020 | 0.020 | 0.020 | 0.025 | 0.022 | 0.020 |
| base + ESG + TVL | 0.020 | 0.020 | 0.020 | 0.020 | 0.020 | 0.020 | 0.025 | 0.023 | 0.021 |
| decile 1 | decile 2 | decile 3 | decile 4 | decile 5 | decile 6 | decile 7 | decile 8 | decile 9 | decile 10 | 1st - 10th | ||
| Statistics | Case | |||||||||||
| RET | base | 1.37 | 6.51 | 10.21 | 12.70 | 12.45 | 14.75 | 13.56 | 12.15 | 13.34 | 11.41 | 10.04 |
| base + E/S/G | 1.19 | 8.16 | 10.16 | 12.20 | 12.92 | 14.57 | 12.05 | 12.24 | 13.07 | 11.90 | 10.71 | |
| base + ESG | 0.79 | 7.83 | 9.17 | 13.08 | 13.16 | 13.78 | 13.93 | 11.72 | 12.61 | 12.40 | 11.61 | |
| base + TVL | -0.60 | 7.88 | 12.66 | 11.57 | 12.63 | 12.90 | 14.15 | 12.74 | 11.99 | 12.55 | 13.15 | |
| base + E/S/G + TVL | 0.02 | 8.11 | 10.43 | 10.80 | 14.43 | 13.53 | 14.52 | 12.59 | 11.03 | 13.01 | 12.99 | |
| base + ESG + TVL | -0.73 | 7.13 | 11.93 | 11.70 | 14.44 | 12.48 | 13.72 | 11.68 | 11.64 | 14.36 | 15.09 | |
| VOL | base | 23.60 | 18.50 | 16.07 | 15.24 | 14.21 | 13.89 | 13.51 | 13.71 | 13.90 | 15.48 | -8.12 |
| base + E/S/G | 23.45 | 18.21 | 15.80 | 14.85 | 14.43 | 13.83 | 13.69 | 13.91 | 14.21 | 15.42 | -8.03 | |
| base + ESG | 23.42 | 18.00 | 16.20 | 14.76 | 14.06 | 13.95 | 13.69 | 13.68 | 14.29 | 15.84 | -7.58 | |
| base + TVL | 23.84 | 18.00 | 15.78 | 14.77 | 14.03 | 13.85 | 13.68 | 14.34 | 13.99 | 15.65 | -8.19 | |
| base + E/S/G + TVL | 23.27 | 18.27 | 16.16 | 14.82 | 14.03 | 13.91 | 13.72 | 13.89 | 14.03 | 15.69 | -7.58 | |
| base + ESG + TVL | 23.83 | 18.20 | 16.15 | 15.46 | 14.29 | 13.82 | 13.63 | 13.52 | 13.61 | 15.43 | -8.40 | |
| MDD | base | 25.49 | 19.69 | 15.46 | 14.45 | 13.65 | 12.38 | 12.22 | 12.36 | 12.42 | 14.93 | -10.56 |
| base + E/S/G | 25.11 | 18.75 | 15.96 | 14.14 | 13.89 | 12.34 | 12.58 | 12.46 | 12.74 | 14.96 | -10.15 | |
| base + ESG | 25.15 | 18.89 | 15.95 | 14.14 | 13.51 | 12.63 | 11.98 | 12.36 | 12.98 | 15.16 | -9.99 | |
| base + TVL | 25.54 | 18.64 | 15.34 | 14.60 | 13.06 | 13.06 | 12.23 | 12.82 | 12.53 | 14.95 | -10.59 | |
| base + E/S/G + TVL | 24.72 | 19.54 | 15.57 | 14.45 | 12.77 | 12.60 | 12.36 | 12.55 | 12.99 | 14.95 | -9.77 | |
| base + ESG + TVL | 25.59 | 19.16 | 15.99 | 14.82 | 13.16 | 12.78 | 12.17 | 12.21 | 12.59 | 14.33 | -11.26 | |
| Sharpe Ratio | base | 0.06 | 0.31 | 0.56 | 0.75 | 0.81 | 0.95 | 0.90 | 0.75 | 0.84 | 0.64 | 0.58 |
| base + E/S/G | 0.04 | 0.42 | 0.56 | 0.72 | 0.81 | 0.94 | 0.76 | 0.77 | 0.83 | 0.68 | 0.64 | |
| base + ESG | 0.02 | 0.41 | 0.49 | 0.80 | 0.86 | 0.88 | 0.91 | 0.73 | 0.77 | 0.71 | 0.69 | |
| base + TVL | -0.04 | 0.41 | 0.71 | 0.68 | 0.80 | 0.83 | 0.91 | 0.79 | 0.76 | 0.71 | 0.75 | |
| base + E/S/G + TVL | -0.02 | 0.42 | 0.56 | 0.63 | 0.92 | 0.85 | 0.97 | 0.78 | 0.68 | 0.75 | 0.77 | |
| base + ESG + TVL | -0.05 | 0.35 | 0.66 | 0.65 | 0.92 | 0.81 | 0.89 | 0.77 | 0.75 | 0.85 | 0.90 | |
| Calmar Ratio | base | 0.37 | 0.65 | 1.00 | 1.39 | 1.41 | 1.57 | 1.60 | 1.45 | 1.45 | 1.10 | 0.73 |
| base + E/S/G | 0.32 | 0.85 | 0.99 | 1.25 | 1.30 | 1.74 | 1.29 | 1.47 | 1.52 | 1.14 | 0.82 | |
| base + ESG | 0.30 | 0.80 | 0.95 | 1.44 | 1.45 | 1.58 | 1.53 | 1.28 | 1.36 | 1.22 | 0.92 | |
| base + TVL | 0.22 | 0.91 | 1.34 | 1.16 | 1.34 | 1.43 | 1.58 | 1.44 | 1.32 | 1.20 | 0.98 | |
| base + E/S/G + TVL | 0.28 | 0.89 | 0.99 | 1.09 | 1.65 | 1.43 | 1.65 | 1.41 | 1.23 | 1.30 | 1.02 | |
| base + ESG + TVL | 0.23 | 0.75 | 1.08 | 1.10 | 1.71 | 1.52 | 1.63 | 1.41 | 1.40 | 1.34 | 1.11 |
| OLS | Lasso | Ridge | ENet | PCR | PLS | RF | XGBoost | MLP | |
|---|---|---|---|---|---|---|---|---|---|
| All companies | 47.14 | 47.11 | 47.13 | 47.13 | 45.26 | 47.16 | 44.41 | 47.71 | 47.01 |
| Top 1000 companies (size) | 39.96 | 39.83 | 39.95 | 39.90 | 36.79 | 39.94 | 35.29 | 40.31 | 39.64 |
| Bottom 1000 companies (size) | 45.39 | 45.40 | 45.39 | 45.40 | 43.70 | 45.45 | 43.12 | 46.47 | 45.47 |
| Lasso | Ridge | ENet | PLS | PCR | RF | XGBoost | MLP | |
|---|---|---|---|---|---|---|---|---|
| Penalization ($`\alpha`$) | $`10^{-4}`$ | $`10^{3}`$ | $`10^{-4}`$ | $`10^{-1}`$ | $`10^{-1}`$ | |||
| Number of components | 8 | 35 | ||||||
| Number of estimators | 300 | 500 | ||||||
| Maximum depth | 10 | 10 | ||||||
| Learning rate | $`10^{-2}`$ | |||||||
| Subsample ratio of columns by tree | 0.3 | |||||||
| Number of neurons | 5 | |||||||
| Number of units | 64 |
| RET | VOL | MDD | Sharpe Ratio | Calmar Ratio | |
|---|---|---|---|---|---|
| mkt | 11.04 | 20.16 | 18.43 | 0.49 | 1.04 |
| decile 1 | 11.21 | 14.74 | 11.81 | 0.68 | 1.21 |
| decile 2 | 11.36 | 16.88 | 13.30 | 0.65 | 1.34 |
| decile 3 | 11.16 | 17.86 | 14.36 | 0.58 | 1.19 |
| decile 4 | 11.72 | 18.90 | 15.92 | 0.59 | 1.22 |
| decile 5 | 11.27 | 19.76 | 17.18 | 0.55 | 1.17 |
| decile 6 | 12.27 | 20.76 | 18.54 | 0.57 | 1.22 |
| decile 7 | 11.09 | 22.28 | 20.45 | 0.46 | 1.00 |
| decile 8 | 11.61 | 23.61 | 22.81 | 0.46 | 1.00 |
| decile 9 | 10.18 | 26.13 | 26.36 | 0.34 | 0.78 |
| decile 10 | 10.54 | 28.96 | 31.44 | 0.27 | 0.75 |
| decile 1 | decile 2 | decile 3 | decile 4 | decile 5 | decile 6 | decile 7 | decile 8 | decile 9 | decile 10 | 1st - 10th | ||
| Statistics | Case | |||||||||||
| RET | base | 0.39 | 4.15 | 6.35 | 9.61 | 10.32 | 9.51 | 10.71 | 11.52 | 11.08 | 10.54 | 10.15 |
| base + E/S/G | 1.45 | 4.87 | 8.48 | 7.24 | 10.50 | 9.62 | 10.62 | 10.65 | 11.13 | 9.71 | 8.26 | |
| base + ESG | 1.02 | 2.34 | 5.23 | 8.65 | 9.65 | 9.23 | 12.84 | 10.76 | 12.66 | 11.80 | 10.78 | |
| base + TVL | 1.18 | 5.02 | 6.49 | 9.34 | 9.71 | 9.96 | 10.00 | 10.52 | 12.04 | 9.81 | 8.63 | |
| base + E/S/G + TVL | 0.78 | 3.82 | 6.37 | 10.31 | 9.19 | 10.23 | 10.58 | 12.40 | 11.15 | 9.29 | 8.51 | |
| base + ESG + TVL | 0.52 | 3.09 | 6.08 | 11.74 | 10.00 | 9.86 | 10.24 | 11.81 | 10.90 | 9.78 | 9.26 | |
| VOL | base | 24.54 | 19.43 | 16.90 | 15.84 | 15.23 | 14.43 | 14.29 | 13.36 | 13.42 | 15.88 | -8.66 |
| base + E/S/G | 25.04 | 18.74 | 17.27 | 15.95 | 14.99 | 14.64 | 13.68 | 13.68 | 13.73 | 15.44 | -9.60 | |
| base + ESG | 24.88 | 19.23 | 16.98 | 15.94 | 15.27 | 14.90 | 14.24 | 13.64 | 12.99 | 15.62 | -9.26 | |
| base + TVL | 24.45 | 18.81 | 16.67 | 15.64 | 15.35 | 14.55 | 14.34 | 13.96 | 13.68 | 15.82 | -8.63 | |
| base + E/S/G + TVL | 24.71 | 18.98 | 16.73 | 16.10 | 15.04 | 14.79 | 14.24 | 13.86 | 13.56 | 15.04 | -9.67 | |
| base + ESG + TVL | 25.00 | 19.29 | 17.22 | 16.11 | 14.82 | 14.31 | 13.57 | 13.94 | 13.59 | 15.47 | -9.53 | |
| MDD | base | 25.90 | 19.58 | 17.40 | 15.20 | 15.08 | 13.58 | 13.65 | 12.48 | 13.01 | 16.14 | -9.76 |
| base + E/S/G | 25.39 | 19.74 | 17.05 | 16.01 | 14.77 | 14.59 | 12.44 | 12.90 | 13.53 | 15.76 | -9.63 | |
| base + ESG | 26.38 | 20.16 | 17.17 | 15.18 | 14.62 | 14.50 | 13.68 | 13.13 | 12.12 | 15.40 | -10.98 | |
| base + TVL | 25.04 | 19.50 | 16.39 | 15.12 | 14.66 | 13.63 | 14.56 | 14.07 | 13.32 | 15.76 | -9.28 | |
| base + E/S/G + TVL | 25.79 | 20.01 | 16.60 | 14.97 | 15.69 | 14.56 | 13.85 | 13.06 | 12.95 | 14.98 | -10.81 | |
| base + ESG + TVL | 26.39 | 19.74 | 17.40 | 15.09 | 14.21 | 13.53 | 12.94 | 13.72 | 13.51 | 15.76 | -10.63 | |
| Sharpe Ratio | base | -0.01 | 0.19 | 0.31 | 0.53 | 0.60 | 0.57 | 0.68 | 0.80 | 0.81 | 0.65 | 0.66 |
| base + E/S/G | 0.02 | 0.23 | 0.43 | 0.39 | 0.63 | 0.60 | 0.68 | 0.72 | 0.80 | 0.61 | 0.59 | |
| base + ESG | 0.00 | 0.08 | 0.23 | 0.47 | 0.54 | 0.53 | 0.85 | 0.74 | 0.97 | 0.74 | 0.74 | |
| base + TVL | 0.00 | 0.24 | 0.32 | 0.52 | 0.56 | 0.60 | 0.66 | 0.71 | 0.90 | 0.59 | 0.59 | |
| base + E/S/G + TVL | 0.01 | 0.15 | 0.32 | 0.57 | 0.57 | 0.63 | 0.65 | 0.84 | 0.78 | 0.59 | 0.58 | |
| base + ESG + TVL | -0.03 | 0.12 | 0.30 | 0.66 | 0.57 | 0.60 | 0.67 | 0.83 | 0.83 | 0.63 | 0.66 | |
| Calmar Ratio | base | 0.36 | 0.55 | 0.72 | 1.08 | 1.12 | 1.09 | 1.25 | 1.49 | 1.43 | 1.21 | 0.85 |
| base + E/S/G | 0.39 | 0.62 | 0.82 | 0.83 | 1.16 | 1.23 | 1.24 | 1.42 | 1.40 | 1.15 | 0.76 | |
| base + ESG | 0.38 | 0.42 | 0.54 | 0.92 | 1.01 | 1.04 | 1.70 | 1.40 | 1.65 | 1.31 | 0.93 | |
| base + TVL | 0.40 | 0.56 | 0.67 | 1.12 | 1.05 | 1.15 | 1.27 | 1.32 | 1.68 | 1.05 | 0.65 | |
| base + E/S/G + TVL | 0.36 | 0.45 | 0.67 | 1.09 | 1.21 | 1.25 | 1.29 | 1.55 | 1.36 | 1.06 | 0.70 | |
| base + ESG + TVL | 0.32 | 0.43 | 0.71 | 1.25 | 1.12 | 1.15 | 1.19 | 1.63 | 1.50 | 1.15 | 0.83 |
| OLS | Lasso | Ridge | ENet | PCR | PLS | RF | XGBoost | MLP | |
|---|---|---|---|---|---|---|---|---|---|
| base | 47.91 | 48.07 | 48.16 | 48.00 | 47.19 | 47.95 | 45.95 | 48.31 | 46.93 |
| base + E/S/G | 47.96 | 48.12 | 48.20 | 48.04 | 47.26 | 47.97 | 46.176 | 49.10 | 46.81 |
| base + ESG | 47.96 | 48.13 | 48.22 | 48.05 | 47.26 | 48.01 | 46.17 | 49.02 | 46.80 |
| base + TVL | 48.01 | 48.18 | 48.26 | 48.10 | 47.43 | 48.04 | 45.944 | 48.51 | 46.82 |
| base + E/S/G + TVL | 48.03 | 48.20 | 48.28 | 48.12 | 47.51 | 48.04 | 46.16 | 49.29 | 46.72 |
| base + ESG + TVL | 48.04 | 48.20 | 48.29 | 48.13 | 47.47 | 48.07 | 46.15 | 49.07 | 47.14 |
| OLS | Lasso | Ridge | ENet | PCR | PLS | RF | XGBoost | MLP | |
|---|---|---|---|---|---|---|---|---|---|
| All companies | 9.09 | 9.45 | 9.12 | 9.26 | 8.97 | 9.16 | 8.57 | 9.56 | 9.17 |
| Top 1000 companies (size) | 5.94 | 5.92 | 5.97 | 5.97 | 5.48 | 5.92 | 4.79 | 6.97 | 6.10 |
| Bottom 1000 companies (size) | 11.36 | 11.59 | 11.34 | 11.48 | 10.97 | 11.46 | 10.98 | 11.56 | 11.20 |
Appendix
List of firm variables used as predictors from WRDS
| Variable Name | Variable Label | Variable Name | Variable Label |
|---|---|---|---|
| absaccrual | Absolute Accruals | ior | Institutional |
| accrual | Accruals | itoa | Investment to Assets |
| accrualpct | Accrual Percentage | ivol | 60-Day IVol |
| avgwordsent | Sentence Complexity | liqvol | Volatility of Liquidity |
| beta | 12-Month Beta | ltdg | Total Liabilities Growth |
| avgwordsent | Sentence Complexity | ltr36 | 36-Month LTR |
| beta | 12-Month Beta | ltr60 | 60-Month LTR |
| betasq | 12-Month Beta Squared | momaccel | Momentum Acceleration |
| btm | Fiscal Book-toMarket | momentum | 6-Month Momentum |
| capec | Cyclically-Adjusted Price to Cash Flows | momentum12 | 12-Month Momentum |
| capes | Cyclically-Adjusted Price to Sales | momentum36 | 36-Month Momentum |
| cashprod | Cash Productivity | noa | Net Operating Assets |
| cch | Change in Cash | nsi | Net Stock Issuance |
| cei | Composite Equity Issuance | o_score | Ohlson Score |
| ceqg | Growth in Common Stockholder Equity | oivol | Excess Cash Flow Volatility |
| cf | Cash Flow Efficiency | oplev | Operating Liabilities Leverage |
| cf_p | Cash Flows to Price | oprof | Operating Profitability |
| cfm | Cash Flow Margins | parity_vspread | Put-Call Parity Volatility Spread |
| cfvol | Cash Flow Volatility | pc_divergence | Option-Based Divergence of Opinion |
| cfvols | Cash Flow Margin Volatility | pc_ratio | Put-Call Ratio |
| cheturn | Cash Turnover | pe | Price Earnings Ratio |
| cheturng | Cash Turnover Growth | pfs_score | Piotroski Financial Statement Score |
| chs | CHS Distress | pm_p | Profit Margin to Price |
| coleman | Coleman Readability Index | pmg | Abnormal Profit Margin Growth |
| convdebt | Convertible Debt | pmsg | Gross Margin Growth |
| corpinvest | Corporate Investments | ptb | Price-to-Book |
| cr | Short Term Leverage | quick | Quick Ratio |
| current | Current Ratio | quickg | Quick Ratio Growth |
| currentg | Current Ratio Growth | rd_p | Research and Development scaled by Market Cap |
| dblock_n | Blockholders | rd_sale | Research and Development Expense Scaled by Sales |
| dbreadth | Institutional Change in Breadth | rdg | Research and Development Growth |
| deftax | Deferred Taxes | revsup | Revenue Surprise |
| deprate | Depreciation Rate | roa | Returns on Assets |
| deprateg | Depreciation Rate Growth | roag | Growth in Returns on Assets |
| dhhi | Ownership Breadth | roavol | ROA Volatility |
| dior | Institutional Flows | roe | Returns on Equity |
| dispersion | Analyst Forecast Dispersion | rv_iv | Excess Implied |
| div_p | Cash Dividends | sale_p | Sales to Price |
| divinc_prob | Probability of dividend increase | saleg | Sales Growth |
| divyield | Dividend Yield | scr | Short Squeeze Probability |
| dnoa | Change in Net Operating Assets | seasonality | Seasonality |
| dr | Long Term Leverage | secudebt | Secured Long-Term Debt |
| drg | Leverage Expansion | sg | Abnormal Sales Growth |
| ev_ebitda | Enterprise Value to EBITDA | sgag | Growth in Selling and General Expenses to Sales |
| fcf | Free Cash Flow Efficiency | sio | Short Interest Scaled by Supply |
| fcf_p | Free Cash Flows | sir | Short Interest Ratio |
| filingsize | Filing Length and Complexity | skew_atm | ATM Put Volatility Skewness |
| firmtang | Debt Capacity to Firm Tangibility | skew_otm | OTM Put Volatility Skewness |
| fog_complex | Change in Gunning-Fog Readability Index | smirk | Abnormal Put Volatility Smirk |
| ft_mstrong | Loughran-McDonald modal strong word proportion | smog_complex | Change in Smog Readability Index |
| gprof | Gross Profitability | specdiv_prob | Probability of special dividend |
| gprofg | Gross Profitability | str_mod | Modified Short-term Reversal |
| hire | Growth in Employee Base | sue | Earnings Surprise |
| invg | Change in Inventory Turnover | taxexp | Changes in Tax Expense |
| invturn | Inventory Turnover | taxinc | Taxable Income |
| invturng | Inventory Turnover Growth | E1 | Pollution prevention score |
| E2 | Environmental transparency score | E3 | Resource efficiency score |
| CIT1 | Community & charity score | CIT2 | Human rights score |
| CIT3 | Sustainability integration score | EMP1 | Compensation & satisfaction score |
| EMP2 | Diversity & rights score | EMP3 | Education & work condition score |
| G1 | Board effectiveness score | G2 | Management ethics score |
| G3 | Disclosure & accountability score | E | Environmental score |
| S | Social score | G | Governance score |
| ESG | Averaged E, S, and G scores | ArticleVolumeTTM | Number of articles tagged to SASB categories during the past 12 months |
| Insight | EWMA of Day-to-day variation in response to news | OWL Momentum | Slope of Insight score |
| decile 1 | decile 2 | decile 3 | decile 4 | decile 5 | decile 6 | decile 7 | decile 8 | decile 9 | decile 10 | 10th - 1st | ||
| Statistics | Case | |||||||||||
| RET | base | 15.33 | 12.54 | 9.04 | 9.76 | 9.18 | 9.74 | 8.38 | 8.13 | 5.63 | -3.01 | 18.34 |
| base + E/S/G | 14.70 | 12.01 | 10.18 | 8.46 | 10.54 | 8.62 | 8.81 | 9.48 | 3.34 | -1.34 | 16.04 | |
| base + ESG | 13.84 | 12.03 | 10.75 | 8.82 | 10.89 | 8.52 | 9.45 | 8.95 | 3.60 | -2.02 | 15.86 | |
| base + TVL | 15.33 | 12.14 | 10.01 | 8.99 | 9.06 | 10.02 | 8.28 | 8.61 | 4.48 | -2.17 | 17.50 | |
| base + E/S/G + TVL | 14.97 | 11.56 | 10.01 | 9.08 | 10.32 | 8.04 | 9.10 | 9.02 | 4.52 | -1.86 | 16.83 | |
| base + ESG + TVL | 14.74 | 12.09 | 9.53 | 9.62 | 9.76 | 8.70 | 9.00 | 8.84 | 4.41 | -2.02 | 16.76 | |
| VOL | base | 11.32 | 12.19 | 13.34 | 14.09 | 14.98 | 15.87 | 16.97 | 18.53 | 21.69 | 28.97 | -17.65 |
| base + E/S/G | 11.21 | 12.36 | 13.29 | 14.03 | 14.96 | 15.83 | 17.00 | 18.74 | 21.76 | 29.01 | -17.80 | |
| base + ESG | 11.25 | 12.17 | 13.38 | 14.04 | 15.02 | 15.80 | 17.04 | 18.57 | 21.82 | 29.07 | -17.82 | |
| base + TVL | 11.21 | 12.28 | 13.29 | 14.15 | 14.99 | 15.76 | 17.00 | 18.67 | 21.86 | 28.90 | -17.69 | |
| base + E/S/G + TVL | 11.21 | 12.33 | 13.38 | 13.97 | 14.99 | 15.77 | 16.89 | 18.83 | 21.75 | 29.05 | -17.84 | |
| base + ESG + TVL | 11.26 | 12.32 | 13.44 | 13.81 | 15.01 | 15.85 | 16.84 | 18.71 | 21.89 | 29.09 | -17.83 | |
| MDD | base | 8.89 | 10.31 | 12.66 | 13.32 | 14.60 | 15.79 | 17.01 | 17.69 | 23.42 | 30.37 | -21.48 |
| base + E/S/G | 8.53 | 10.93 | 12.33 | 13.33 | 14.47 | 15.64 | 17.52 | 17.79 | 23.76 | 29.87 | -21.34 | |
| base + ESG | 8.78 | 10.59 | 12.32 | 13.53 | 14.21 | 15.90 | 17.14 | 17.93 | 23.67 | 30.08 | -21.30 | |
| base + TVL | 8.50 | 10.78 | 12.17 | 13.61 | 14.69 | 15.62 | 17.24 | 18.03 | 23.49 | 30.01 | -21.51 | |
| base + E/S/G + TVL | 8.63 | 10.68 | 12.68 | 13.30 | 14.55 | 15.62 | 17.17 | 17.99 | 23.46 | 30.12 | -21.49 | |
| base + ESG + TVL | 8.62 | 10.81 | 12.52 | 13.06 | 14.70 | 15.79 | 16.93 | 17.87 | 23.58 | 30.16 | -21.54 | |
| Sharpe Ratio | base | 1.24 | 0.89 | 0.58 | 0.61 | 0.54 | 0.57 | 0.47 | 0.38 | 0.25 | -0.08 | 1.32 |
| base + E/S/G | 1.17 | 0.85 | 0.66 | 0.52 | 0.65 | 0.48 | 0.52 | 0.47 | 0.13 | -0.02 | 1.19 | |
| base + ESG | 1.10 | 0.86 | 0.70 | 0.55 | 0.67 | 0.49 | 0.53 | 0.44 | 0.14 | -0.04 | 1.14 | |
| base + TVL | 1.24 | 0.86 | 0.64 | 0.56 | 0.54 | 0.59 | 0.47 | 0.42 | 0.18 | -0.05 | 1.29 | |
| base + E/S/G + TVL | 1.20 | 0.80 | 0.66 | 0.56 | 0.65 | 0.44 | 0.53 | 0.45 | 0.18 | -0.04 | 1.24 | |
| base + ESG + TVL | 1.18 | 0.85 | 0.60 | 0.62 | 0.60 | 0.49 | 0.52 | 0.44 | 0.18 | -0.04 | 1.22 | |
| Calmar Ratio | base | 2.33 | 1.71 | 1.18 | 1.23 | 1.12 | 1.14 | 0.99 | 0.78 | 0.64 | 0.23 | 2.10 |
| base + E/S/G | 2.22 | 1.52 | 1.31 | 1.00 | 1.38 | 0.96 | 1.20 | 0.90 | 0.42 | 0.34 | 1.88 | |
| base + ESG | 2.03 | 1.53 | 1.39 | 1.05 | 1.42 | 0.96 | 1.14 | 0.87 | 0.44 | 0.31 | 1.72 | |
| base + TVL | 2.32 | 1.57 | 1.28 | 1.10 | 1.16 | 1.18 | 1.03 | 0.82 | 0.50 | 0.30 | 2.02 | |
| base + E/S/G + TVL | 2.25 | 1.45 | 1.33 | 1.07 | 1.36 | 0.90 | 1.19 | 0.86 | 0.50 | 0.32 | 1.93 | |
| base + ESG + TVL | 2.14 | 1.62 | 1.20 | 1.17 | 1.27 | 0.96 | 1.18 | 0.86 | 0.51 | 0.31 | 1.83 |
| OLS | Lasso | Ridge | ENet | PCR | PLS | RF | XGBoost | MLP | |
|---|---|---|---|---|---|---|---|---|---|
| base | 7.53 | 9.58 | 8.37 | 7.86 | 10.40 | 7.98 | 9.58 | 8.69 | 7.19 |
| base + E/S/G | 7.37 | 9.58 | 8.23 | 7.74 | 10.35 | 7.78 | 9.62 | 9.23 | 6.13 |
| base + ESG | 7.59 | 9.58 | 8.43 | 7.92 | 10.40 | 8.02 | 9.63 | 8.67 | 7.24 |
| base + TVL | 7.61 | 9.58 | 8.41 | 7.92 | 10.26 | 8.04 | 9.56 | 9.39 | 5.91 |
| base + E/S/G + TVL | 7.44 | 9.58 | 8.26 | 7.79 | 10.41 | 7.84 | 9.63 | 8.85 | 8.11 |
| base + ESG + TVL | 7.65 | 9.58 | 8.46 | 7.96 | 10.43 | 8.07 | 9.65 | 8.67 | 6.89 |
| Lasso | Ridge | ENet | PLS | PCR | RF | XGBoost | MLP | |
|---|---|---|---|---|---|---|---|---|
| Penalization ($`\alpha`$) | $`10^{-2}`$ | $`10^{4}`$ | $`10^{-3}`$ | $`10^{-1}`$ | $`10^{-1}`$ | |||
| Number of components | 6 | 8 | ||||||
| Number of estimators | 300 | $`10^{3}`$ | ||||||
| Maximum depth | 10 | 3 | ||||||
| Learning rate | $`5\times 10^{-2}`$ | |||||||
| Subsample ratio of columns by tree | 0.3 | |||||||
| Number of neurons | 3 | |||||||
| Number of units | 8 |
| RET | VOL | MDD | Sharpe Ratio | Calmar Ratio | |
|---|---|---|---|---|---|
| mkt | 11.04 | 20.16 | 18.43 | 0.49 | 1.04 |
| decile 1 | 5.87 | 26.27 | 29.53 | 0.13 | 0.58 |
| decile 2 | 9.08 | 23.13 | 23.28 | 0.35 | 0.87 |
| decile 3 | 9.09 | 21.57 | 20.68 | 0.38 | 0.85 |
| decile 4 | 10.30 | 20.49 | 18.26 | 0.47 | 1.04 |
| decile 5 | 11.01 | 19.82 | 17.39 | 0.50 | 1.08 |
| decile 6 | 12.34 | 19.44 | 16.46 | 0.60 | 1.21 |
| decile 7 | 12.29 | 18.74 | 15.55 | 0.60 | 1.18 |
| decile 8 | 13.08 | 18.59 | 15.19 | 0.65 | 1.26 |
| decile 9 | 13.54 | 18.70 | 15.76 | 0.67 | 1.33 |
| decile 10 | 14.69 | 19.88 | 16.55 | 0.68 | 1.36 |