Appendix A
Table A1.
Characteristics of US equity SMAs by Monthly gross return quintile. Our SMAs samples range from 1999 to 2023 and comprise 6374 US equity SMAs after correcting survivorship bias. We divided US equity SMAs into five quintiles based on average monthly gross return and calculated the risk-adjusted alphas using the Fama–French Three Factor Model. We also included characteristics for each quintile.
Table A1.
Characteristics of US equity SMAs by Monthly gross return quintile. Our SMAs samples range from 1999 to 2023 and comprise 6374 US equity SMAs after correcting survivorship bias. We divided US equity SMAs into five quintiles based on average monthly gross return and calculated the risk-adjusted alphas using the Fama–French Three Factor Model. We also included characteristics for each quintile.
Quintile Sorted on Average Gross Return | | Alphas and Three-Factor Loadings for US Equity SMA | Quintile Characteristics |
---|
Average Gross Monthly return | Alpha | MKT | SMB | HML | R-Squared | Manager Tenure Average | Ave Monthly Net Return | Average Annual Expense Ratio |
---|
1 | 0.660 | −0.003 | 1.299 | 0.786 | −1.795 | 0.895 | 16.182 | 0.559 | 0.836 |
2 | 0.848 | 0.061 | 1.366 | 0.784 | −1.428 | 0.896 | 16.113 | 0.749 | 0.930 |
3 | 0.949 | 0.082 | 0.944 | 0.582 | −0.974 | 0.893 | 14.633 | 0.844 | 0.888 |
4 | 1.051 | 0.120 | 0.920 | 0.361 | −1.125 | 0.889 | 14.692 | 0.944 | 0.846 |
5 | 1.321 | 0.169 | 1.204 | 0.240 | −0.997 | 0.874 | 14.500 | 1.189 | 0.820 |
Table A2.
Characteristics of US equity SMAs by Monthly net return quintile. Our SMAs samples range from 1999 to 2023 and comprise 6374 US equity SMAs after correcting survivorship bias. We divided US equity SMAs into five quintiles based on average monthly net return and calculated the risk-adjusted alphas using the Fama–French Three Factor Model. We also included characteristics for each quintile.
Table A2.
Characteristics of US equity SMAs by Monthly net return quintile. Our SMAs samples range from 1999 to 2023 and comprise 6374 US equity SMAs after correcting survivorship bias. We divided US equity SMAs into five quintiles based on average monthly net return and calculated the risk-adjusted alphas using the Fama–French Three Factor Model. We also included characteristics for each quintile.
Quintile Sorted on Average Net Return | | Alphas and Three-Factor Loadings for US Equity SMA | Quintile Characteristics |
---|
Average Net Monthly Return | Alpha | MKT | SMB | HML | R-Squared | Manager Tenure Average | Average Gross Monthly Return | Average Annual Expense Ratio |
---|
1 | 0.63 | −0.11 | 1.29 | 0.78 | −1.51 | 0.89 | 15.71 | 0.77 | 1.11 |
2 | 0.85 | −0.01 | 1.01 | 0.60 | −1.19 | 0.90 | 15.31 | 0.94 | 0.76 |
3 | 0.95 | 0.04 | 0.85 | 0.27 | −1.11 | 0.89 | 14.72 | 1.03 | 0.68 |
4 | 1.05 | 0.05 | 1.23 | 0.51 | −1.13 | 0.89 | 14.98 | 1.14 | 0.71 |
5 | 1.33 | 0.08 | 1.26 | 0.10 | −0.94 | 0.87 | 14.33 | 1.44 | 0.68 |
Table A3.
Characteristics of US equity ETFs by Monthly gross return quintile. Our ETFs samples range from 1999 to 2023 and comprise 460 US equity ETFs after correcting survivorship bias. We divided US equity ETFs into five quintiles based on average monthly gross return and calculated the risk-adjusted alphas using the Fama–French Three Factor Model. We also included characteristics for each quintile.
Table A3.
Characteristics of US equity ETFs by Monthly gross return quintile. Our ETFs samples range from 1999 to 2023 and comprise 460 US equity ETFs after correcting survivorship bias. We divided US equity ETFs into five quintiles based on average monthly gross return and calculated the risk-adjusted alphas using the Fama–French Three Factor Model. We also included characteristics for each quintile.
Quintile Sorted on Average Gross Return | | Alphas and Three-Factor Loadings for US Equity ETF | Quintile Characteristics |
---|
Average Gross Return | Alpha | MKT | SMB | HML | R-Squared | Manager Tenure Average | Ave Monthly Actual Return | Average Annual Expense Ratio |
---|
1 | 0.65 | −0.08 | 0.86 | 0.07 | 0.19 | 0.86 | 5.02 | 0.62 | 0.43 |
2 | 0.86 | −0.02 | 0.95 | 0.22 | 0.20 | 0.90 | 4.95 | 0.83 | 0.39 |
3 | 0.93 | −0.01 | 1.00 | 0.23 | 0.22 | 0.94 | 4.58 | 0.90 | 0.37 |
4 | 1.03 | 0.00 | 0.99 | 0.24 | 0.18 | 0.93 | 3.45 | 1.00 | 0.37 |
5 | 1.19 | 0.06 | 1.00 | 0.05 | 0.05 | 0.95 | 1.95 | 1.17 | 0.33 |
Table A4.
Characteristics of US equity ETFs by Monthly net return quintile. Our ETFs samples range from 1999 to 2023 and comprise 460 US equity ETFs after correcting survivorship bias. We divided US equity ETFs into five quintiles based on average monthly net return and calculated the risk-adjusted alphas using the Fama–French Three Factor Model. We also included characteristics for each quintile.
Table A4.
Characteristics of US equity ETFs by Monthly net return quintile. Our ETFs samples range from 1999 to 2023 and comprise 460 US equity ETFs after correcting survivorship bias. We divided US equity ETFs into five quintiles based on average monthly net return and calculated the risk-adjusted alphas using the Fama–French Three Factor Model. We also included characteristics for each quintile.
Quintile Sorted on Average Net Return | | Alphas and Three-Factor Loadings for US Equity ETF | Quintile Characteristics |
---|
Average ACTUAL RETURN | Alpha | MKT | SMB | HML | R-Squared | Manager Tenure Average | Ave Monthly Gross Return | Average Annual Expense Ratio |
---|
1 | 0.62 | −0.11 | 0.85 | 0.07 | 0.19 | 0.85 | 4.73 | 0.65 | 0.47 |
2 | 0.82 | −0.05 | 0.96 | 0.21 | 0.20 | 0.91 | 5.24 | 0.86 | 0.41 |
3 | 0.90 | −0.03 | 0.99 | 0.26 | 0.21 | 0.94 | 4.76 | 0.93 | 0.35 |
4 | 1.00 | −0.03 | 0.99 | 0.23 | 0.20 | 0.94 | 3.22 | 1.03 | 0.35 |
5 | 1.17 | 0.03 | 1.00 | 0.05 | 0.04 | 0.94 | 1.99 | 1.19 | 0.30 |
- 2.
Sensitivity analysis focusing on high VIX period and low VIX period.
Besides the pure style-based comparison across all the time horizon, it is beneficial to conduct performance comparisons on different cycle stages. Instead of defining the cycle stages based on crisis or bull market, we use volatility as a quantitative way to divide our sample into high volatility period and low volatility period. Fortunately, CBOE Volatility Index can serve as an unbiased and objective measure to achieve this task. VIX data is from Fred St Louis.
https://fred.stlouisfed.org/series/VIXCLS (accessed on 29 February 2024).
Below is a histogram of 25 years data of VIX index (1999 to 2023). A VIX level of 20 seems to be a threshold where we can have equal number of years into either high volatility period or low volatility period.
Table A5 below presents the years included in each period.
Table A5.
Ranked historical levels of VIX Index from 1999 to 2023.
Table A5.
Ranked historical levels of VIX Index from 1999 to 2023.
Year | VIXCLS | |
---|
2008 | 32.70 | High VIX |
2009 | 31.48 |
2020 | 29.25 |
2002 | 27.29 |
2001 | 25.75 |
2022 | 25.64 |
1999 | 24.37 |
2011 | 24.20 |
2000 | 23.32 |
2010 | 22.55 |
2003 | 21.98 |
2021 | 19.66 | Low VIX |
2012 | 17.80 |
2007 | 17.54 |
2023 | 16.85 |
2015 | 16.67 |
2018 | 16.64 |
2016 | 15.83 |
2004 | 15.48 |
2019 | 15.39 |
2013 | 14.23 |
2014 | 14.18 |
2005 | 12.81 |
2006 | 12.81 |
2007 | 11.09 |
Our performance comparisons are based on yearly gross return, yearly net return, yearly gross return risk adjusted alpha, and yearly net return risk adjusted alpha. All those comparisons are conducted on both high and low volatility periods.
Figure A1,
Figure A2,
Figure A3 and
Figure A4 are over the high volatility periods (i.e., H VIX), and
Figure A5,
Figure A6,
Figure A7 and
Figure A8 are over the low volatility periods (i.e., L VIX).
Figure A3 and
Figure A4 provide evidence that SMAs provide better risk-adjusted performance across all the percentiles during high volatility period. Interestingly, during low volatility period, SMAs can’t outperform ETFs except the lowest percentiles (
Figure A5) on the gross return basis. However, based on
Figure A7, SMAs provide better risk adjusted gross alphas than ETFs during low volatility period, especially for the lowest percentiles. However, SMAs can’t outperform (even underperform) ETFs on the net return basis (
Figure A6 and
Figure A8).
Figure A1.
Average Yearly Gross Return Comparison over high VIX period.
Figure A1.
Average Yearly Gross Return Comparison over high VIX period.
Figure A2.
Average Yearly Net Return Comparison over high VIX period.
Figure A2.
Average Yearly Net Return Comparison over high VIX period.
Figure A3.
Yearly Gross Risk Adjusted Alpha Comparison over high VIX period.
Figure A3.
Yearly Gross Risk Adjusted Alpha Comparison over high VIX period.
Figure A4.
Yearly Net Risk Adjusted Alpha Comparison over high VIX period.
Figure A4.
Yearly Net Risk Adjusted Alpha Comparison over high VIX period.
Figure A5.
Average Yearly Gross Return Comparison over low VIX period.
Figure A5.
Average Yearly Gross Return Comparison over low VIX period.
Figure A6.
Average Yearly Net Return Comparison over low VIX period.
Figure A6.
Average Yearly Net Return Comparison over low VIX period.
Figure A7.
Yearly Gross Risk Adjusted Alpha Comparison over low VIX period.
Figure A7.
Yearly Gross Risk Adjusted Alpha Comparison over low VIX period.
Figure A8.
Yearly Net Risk Adjusted Alpha Comparison over low VIX period.
Figure A8.
Yearly Net Risk Adjusted Alpha Comparison over low VIX period.