Table XI.

Robustness tests

Hedge funds are sorted every month into two portfolios based on PRI endorsement (Columns 1 and 4) or into 2 × 3 portfolios based on PRI endorsement and hedge fund firm ESG scores (Columns 2, 3, 5, and 6). PRI denotes the United Nations Principles for Responsible Investment. Firm ESG scores are the value-weighted average of the Refinitiv ESG scores of the stocks held by hedge fund firms. Low ESG denotes firms with bottom-tercile ESG scores. High ESG denotes firms with top-tercile ESG scores. Performance is estimated relative to the Fung and Hsieh (2004) model. FH denotes the Fung and Hsieh (2004) model. The t-statistics, derived from White (1980) standard errors, are in parentheses. The sample period is from May 2006 to April 2019. * and ** denote significance at the 5% and 1% levels, respectively.

Alpha (percent/year)
Alpha (percent/year)
All fundsLow ESGHigh ESGAll fundsLow ESGHigh ESG

Hedge fund portfolio(1)(2)(3)Hedge fund portfolio(4)(5)(6)

Panel A: Adjusted for backfill biasPanel H: FH + Hsu, Li, and Tsou (2021) toxic emissions factor
PRI signatories−1.55−5.69*−0.17PRI signatories−1.26−5.62*0.32
(−1.22)(−2.22)(−0.16)(−0.98)(−2.29)(0.29)
Nonsignatories−0.151.80*−1.13Nonsignatories1.202.10*−0.23
(−0.15)(2.26)(−1.36)(1.24)(2.61)(−0.31)
Spread (PRI minus non-PRI)−1.41*−7.49**0.96Spread (PRI minus non-PRI)−2.45**−7.72**0.55
(−2.13)(−2.95)(1.29)(−3.94)(−3.18)(0.76)
Alpha (percent/year)
Alpha (percent/year)
All fundsLow ESGHigh ESGAll fundsLow ESGHigh ESG

Hedge fund portfolio(1)(2)(3)Hedge fund portfolio(4)(5)(6)

Panel A: Adjusted for backfill biasPanel H: FH + Hsu, Li, and Tsou (2021) toxic emissions factor
PRI signatories−1.55−5.69*−0.17PRI signatories−1.26−5.62*0.32
(−1.22)(−2.22)(−0.16)(−0.98)(−2.29)(0.29)
Nonsignatories−0.151.80*−1.13Nonsignatories1.202.10*−0.23
(−0.15)(2.26)(−1.36)(1.24)(2.61)(−0.31)
Spread (PRI minus non-PRI)−1.41*−7.49**0.96Spread (PRI minus non-PRI)−2.45**−7.72**0.55
(−2.13)(−2.95)(1.29)(−3.94)(−3.18)(0.76)
Panel B: Adjusted for incubation biasPanel I: Adjusted for dynamic risk exposures using rolling betas
PRI signatories−1.31−6.78*−0.57PRI signatories−2.45−6.77**−1.09
(−0.97)(−2.55)(−0.53)(−1.45)(−2.63)(−1.01)
Nonsignatories0.521.29−0.95Nonsignatories0.390.73−1.47
(0.55)(1.71)(−1.34)(0.31)(0.71)(−1.54)
Spread (PRI minus non-PRI)−1.83**−8.07**0.39Spread (PRI minus non-PRI)−2.85**−7.50**0.38
(−2.68)(−3.07)(0.49)(−3.57)(−3.16)(0.64)
Panel B: Adjusted for incubation biasPanel I: Adjusted for dynamic risk exposures using rolling betas
PRI signatories−1.31−6.78*−0.57PRI signatories−2.45−6.77**−1.09
(−0.97)(−2.55)(−0.53)(−1.45)(−2.63)(−1.01)
Nonsignatories0.521.29−0.95Nonsignatories0.390.73−1.47
(0.55)(1.71)(−1.34)(0.31)(0.71)(−1.54)
Spread (PRI minus non-PRI)−1.83**−8.07**0.39Spread (PRI minus non-PRI)−2.85**−7.50**0.38
(−2.68)(−3.07)(0.49)(−3.57)(−3.16)(0.64)
Panel C: Adjusted for serial correlation
Panel J: Small investment firms
PRI signatories−0.76−5.65*0.46PRI signatories−1.79−4.60−1.80
(−0.56)(−2.10)(0.42)(−1.18)(−1.62)(−0.90)
Nonsignatories1.792.37**0.00Nonsignatories1.813.60**−0.99
(1.80)(2.90)(0.00)(1.87)(2.74)(−0.82)
Spread (PRI minus non-PRI)−2.56**−7.19**0.46Spread (PRI minus non-PRI)−3.59**−8.19*−0.81
(−3.84)(−2.72)(0.62)(−3.60)(−2.40)(−0.48)
Panel C: Adjusted for serial correlation
Panel J: Small investment firms
PRI signatories−0.76−5.65*0.46PRI signatories−1.79−4.60−1.80
(−0.56)(−2.10)(0.42)(−1.18)(−1.62)(−0.90)
Nonsignatories1.792.37**0.00Nonsignatories1.813.60**−0.99
(1.80)(2.90)(0.00)(1.87)(2.74)(−0.82)
Spread (PRI minus non-PRI)−2.56**−7.19**0.46Spread (PRI minus non-PRI)−3.59**−8.19*−0.81
(−3.84)(−2.72)(0.62)(−3.60)(−2.40)(−0.48)
Panel D: Pre-fee returns
Panel K: Large investment firms
PRI signatories1.73−5.343.67*PRI signatories−1.15−6.06*−0.62
(1.01)(−1.50)(2.33)(−0.91)(−2.30)(−0.63)
Nonsignatories5.09**6.07**3.37**Nonsignatories0.411.10−0.64
(3.94)(6.20)(3.30)(0.42)(1.46)(−0.87)
Spread (PRI minus non-PRI)−3.36**−11.41**0.30Spread (PRI minus non-PRI)−1.56*−7.17**0.02
(−4.32)(−3.46)(0.31)(−2.52)(−2.73)(0.03)
Panel D: Pre-fee returns
Panel K: Large investment firms
PRI signatories1.73−5.343.67*PRI signatories−1.15−6.06*−0.62
(1.01)(−1.50)(2.33)(−0.91)(−2.30)(−0.63)
Nonsignatories5.09**6.07**3.37**Nonsignatories0.411.10−0.64
(3.94)(6.20)(3.30)(0.42)(1.46)(−0.87)
Spread (PRI minus non-PRI)−3.36**−11.41**0.30Spread (PRI minus non-PRI)−1.56*−7.17**0.02
(−4.32)(−3.46)(0.31)(−2.52)(−2.73)(0.03)
Panel E: Excluding activist hedge funds
Panel L: Including delisted signatories
PRI signatories−1.74−5.45*−0.99PRI signatories−0.62−5.62*0.42
(−1.27)(−2.16)(−0.77)(−0.48)(−2.29)(0.41)
Nonsignatories1.062.00*−0.89Nonsignatories1.402.10*−0.24
(1.06)(2.58)(−1.11)(1.46)(2.57)(−0.31)
Spread (PRI minus non-PRI)−2.80**−7.45**−0.11Spread (PRI minus non-PRI)−2.02**−7.72**0.66
(−4.13)(−3.09)(−0.12)(−3.36)(−3.18)(0.99)
Panel E: Excluding activist hedge funds
Panel L: Including delisted signatories
PRI signatories−1.74−5.45*−0.99PRI signatories−0.62−5.62*0.42
(−1.27)(−2.16)(−0.77)(−0.48)(−2.29)(0.41)
Nonsignatories1.062.00*−0.89Nonsignatories1.402.10*−0.24
(1.06)(2.58)(−1.11)(1.46)(2.57)(−0.31)
Spread (PRI minus non-PRI)−2.80**−7.45**−0.11Spread (PRI minus non-PRI)−2.02**−7.72**0.66
(−4.13)(−3.09)(−0.12)(−3.36)(−3.18)(0.99)
Panel F: FH + ESG factor
Panel M: Pure play hedge fund firms
PRI signatories−1.26−5.61*0.19PRI signatories−1.46−6.24*0.51
(−0.99)(−2.26)(0.18)(−1.10)(−2.49)(0.46)
Nonsignatories1.181.81*−0.31Nonsignatories1.252.38**0.28
(1.23)(2.59)(−0.42)(1.29)(2.81)(0.36)
Spread (PRI minus non-PRI)−2.44**−7.42**0.50Spread (PRI minus non-PRI)−2.70**−8.62**0.23
(−3.92)(−3.07)(0.67)(−4.07)(−3.49)(0.27)
Panel F: FH + ESG factor
Panel M: Pure play hedge fund firms
PRI signatories−1.26−5.61*0.19PRI signatories−1.46−6.24*0.51
(−0.99)(−2.26)(0.18)(−1.10)(−2.49)(0.46)
Nonsignatories1.181.81*−0.31Nonsignatories1.252.38**0.28
(1.23)(2.59)(−0.42)(1.29)(2.81)(0.36)
Spread (PRI minus non-PRI)−2.44**−7.42**0.50Spread (PRI minus non-PRI)−2.70**−8.62**0.23
(−3.92)(−3.07)(0.67)(−4.07)(−3.49)(0.27)
Panel G: FH + Bolton and Kacperczyk (2021) carbon emissions factor
Panel N: Stock holdings from 13F + FactSet
PRI signatories−0.67−5.10*0.52PRI signatories−1.24−4.82*0.01
(−0.51)(−2.03)(0.47)(−0.97)(−2.04)(0.01)
Nonsignatories1.552.08*−0.01Nonsignatories1.211.62−0.95
(1.60)(2.45)(−0.01)(1.26)(1.90)(−1.11)
Spread (PRI minus non-PRI)−2.23**−7.18**0.53Spread (PRI minus non-PRI)−2.45**−6.45**0.96
(−3.37)(−2.86)(0.71)(−3.93)(−2.84)(1.47)
Panel G: FH + Bolton and Kacperczyk (2021) carbon emissions factor
Panel N: Stock holdings from 13F + FactSet
PRI signatories−0.67−5.10*0.52PRI signatories−1.24−4.82*0.01
(−0.51)(−2.03)(0.47)(−0.97)(−2.04)(0.01)
Nonsignatories1.552.08*−0.01Nonsignatories1.211.62−0.95
(1.60)(2.45)(−0.01)(1.26)(1.90)(−1.11)
Spread (PRI minus non-PRI)−2.23**−7.18**0.53Spread (PRI minus non-PRI)−2.45**−6.45**0.96
(−3.37)(−2.86)(0.71)(−3.93)(−2.84)(1.47)
Table XI.

Robustness tests

Hedge funds are sorted every month into two portfolios based on PRI endorsement (Columns 1 and 4) or into 2 × 3 portfolios based on PRI endorsement and hedge fund firm ESG scores (Columns 2, 3, 5, and 6). PRI denotes the United Nations Principles for Responsible Investment. Firm ESG scores are the value-weighted average of the Refinitiv ESG scores of the stocks held by hedge fund firms. Low ESG denotes firms with bottom-tercile ESG scores. High ESG denotes firms with top-tercile ESG scores. Performance is estimated relative to the Fung and Hsieh (2004) model. FH denotes the Fung and Hsieh (2004) model. The t-statistics, derived from White (1980) standard errors, are in parentheses. The sample period is from May 2006 to April 2019. * and ** denote significance at the 5% and 1% levels, respectively.

Alpha (percent/year)
Alpha (percent/year)
All fundsLow ESGHigh ESGAll fundsLow ESGHigh ESG

Hedge fund portfolio(1)(2)(3)Hedge fund portfolio(4)(5)(6)

Panel A: Adjusted for backfill biasPanel H: FH + Hsu, Li, and Tsou (2021) toxic emissions factor
PRI signatories−1.55−5.69*−0.17PRI signatories−1.26−5.62*0.32
(−1.22)(−2.22)(−0.16)(−0.98)(−2.29)(0.29)
Nonsignatories−0.151.80*−1.13Nonsignatories1.202.10*−0.23
(−0.15)(2.26)(−1.36)(1.24)(2.61)(−0.31)
Spread (PRI minus non-PRI)−1.41*−7.49**0.96Spread (PRI minus non-PRI)−2.45**−7.72**0.55
(−2.13)(−2.95)(1.29)(−3.94)(−3.18)(0.76)
Alpha (percent/year)
Alpha (percent/year)
All fundsLow ESGHigh ESGAll fundsLow ESGHigh ESG

Hedge fund portfolio(1)(2)(3)Hedge fund portfolio(4)(5)(6)

Panel A: Adjusted for backfill biasPanel H: FH + Hsu, Li, and Tsou (2021) toxic emissions factor
PRI signatories−1.55−5.69*−0.17PRI signatories−1.26−5.62*0.32
(−1.22)(−2.22)(−0.16)(−0.98)(−2.29)(0.29)
Nonsignatories−0.151.80*−1.13Nonsignatories1.202.10*−0.23
(−0.15)(2.26)(−1.36)(1.24)(2.61)(−0.31)
Spread (PRI minus non-PRI)−1.41*−7.49**0.96Spread (PRI minus non-PRI)−2.45**−7.72**0.55
(−2.13)(−2.95)(1.29)(−3.94)(−3.18)(0.76)
Panel B: Adjusted for incubation biasPanel I: Adjusted for dynamic risk exposures using rolling betas
PRI signatories−1.31−6.78*−0.57PRI signatories−2.45−6.77**−1.09
(−0.97)(−2.55)(−0.53)(−1.45)(−2.63)(−1.01)
Nonsignatories0.521.29−0.95Nonsignatories0.390.73−1.47
(0.55)(1.71)(−1.34)(0.31)(0.71)(−1.54)
Spread (PRI minus non-PRI)−1.83**−8.07**0.39Spread (PRI minus non-PRI)−2.85**−7.50**0.38
(−2.68)(−3.07)(0.49)(−3.57)(−3.16)(0.64)
Panel B: Adjusted for incubation biasPanel I: Adjusted for dynamic risk exposures using rolling betas
PRI signatories−1.31−6.78*−0.57PRI signatories−2.45−6.77**−1.09
(−0.97)(−2.55)(−0.53)(−1.45)(−2.63)(−1.01)
Nonsignatories0.521.29−0.95Nonsignatories0.390.73−1.47
(0.55)(1.71)(−1.34)(0.31)(0.71)(−1.54)
Spread (PRI minus non-PRI)−1.83**−8.07**0.39Spread (PRI minus non-PRI)−2.85**−7.50**0.38
(−2.68)(−3.07)(0.49)(−3.57)(−3.16)(0.64)
Panel C: Adjusted for serial correlation
Panel J: Small investment firms
PRI signatories−0.76−5.65*0.46PRI signatories−1.79−4.60−1.80
(−0.56)(−2.10)(0.42)(−1.18)(−1.62)(−0.90)
Nonsignatories1.792.37**0.00Nonsignatories1.813.60**−0.99
(1.80)(2.90)(0.00)(1.87)(2.74)(−0.82)
Spread (PRI minus non-PRI)−2.56**−7.19**0.46Spread (PRI minus non-PRI)−3.59**−8.19*−0.81
(−3.84)(−2.72)(0.62)(−3.60)(−2.40)(−0.48)
Panel C: Adjusted for serial correlation
Panel J: Small investment firms
PRI signatories−0.76−5.65*0.46PRI signatories−1.79−4.60−1.80
(−0.56)(−2.10)(0.42)(−1.18)(−1.62)(−0.90)
Nonsignatories1.792.37**0.00Nonsignatories1.813.60**−0.99
(1.80)(2.90)(0.00)(1.87)(2.74)(−0.82)
Spread (PRI minus non-PRI)−2.56**−7.19**0.46Spread (PRI minus non-PRI)−3.59**−8.19*−0.81
(−3.84)(−2.72)(0.62)(−3.60)(−2.40)(−0.48)
Panel D: Pre-fee returns
Panel K: Large investment firms
PRI signatories1.73−5.343.67*PRI signatories−1.15−6.06*−0.62
(1.01)(−1.50)(2.33)(−0.91)(−2.30)(−0.63)
Nonsignatories5.09**6.07**3.37**Nonsignatories0.411.10−0.64
(3.94)(6.20)(3.30)(0.42)(1.46)(−0.87)
Spread (PRI minus non-PRI)−3.36**−11.41**0.30Spread (PRI minus non-PRI)−1.56*−7.17**0.02
(−4.32)(−3.46)(0.31)(−2.52)(−2.73)(0.03)
Panel D: Pre-fee returns
Panel K: Large investment firms
PRI signatories1.73−5.343.67*PRI signatories−1.15−6.06*−0.62
(1.01)(−1.50)(2.33)(−0.91)(−2.30)(−0.63)
Nonsignatories5.09**6.07**3.37**Nonsignatories0.411.10−0.64
(3.94)(6.20)(3.30)(0.42)(1.46)(−0.87)
Spread (PRI minus non-PRI)−3.36**−11.41**0.30Spread (PRI minus non-PRI)−1.56*−7.17**0.02
(−4.32)(−3.46)(0.31)(−2.52)(−2.73)(0.03)
Panel E: Excluding activist hedge funds
Panel L: Including delisted signatories
PRI signatories−1.74−5.45*−0.99PRI signatories−0.62−5.62*0.42
(−1.27)(−2.16)(−0.77)(−0.48)(−2.29)(0.41)
Nonsignatories1.062.00*−0.89Nonsignatories1.402.10*−0.24
(1.06)(2.58)(−1.11)(1.46)(2.57)(−0.31)
Spread (PRI minus non-PRI)−2.80**−7.45**−0.11Spread (PRI minus non-PRI)−2.02**−7.72**0.66
(−4.13)(−3.09)(−0.12)(−3.36)(−3.18)(0.99)
Panel E: Excluding activist hedge funds
Panel L: Including delisted signatories
PRI signatories−1.74−5.45*−0.99PRI signatories−0.62−5.62*0.42
(−1.27)(−2.16)(−0.77)(−0.48)(−2.29)(0.41)
Nonsignatories1.062.00*−0.89Nonsignatories1.402.10*−0.24
(1.06)(2.58)(−1.11)(1.46)(2.57)(−0.31)
Spread (PRI minus non-PRI)−2.80**−7.45**−0.11Spread (PRI minus non-PRI)−2.02**−7.72**0.66
(−4.13)(−3.09)(−0.12)(−3.36)(−3.18)(0.99)
Panel F: FH + ESG factor
Panel M: Pure play hedge fund firms
PRI signatories−1.26−5.61*0.19PRI signatories−1.46−6.24*0.51
(−0.99)(−2.26)(0.18)(−1.10)(−2.49)(0.46)
Nonsignatories1.181.81*−0.31Nonsignatories1.252.38**0.28
(1.23)(2.59)(−0.42)(1.29)(2.81)(0.36)
Spread (PRI minus non-PRI)−2.44**−7.42**0.50Spread (PRI minus non-PRI)−2.70**−8.62**0.23
(−3.92)(−3.07)(0.67)(−4.07)(−3.49)(0.27)
Panel F: FH + ESG factor
Panel M: Pure play hedge fund firms
PRI signatories−1.26−5.61*0.19PRI signatories−1.46−6.24*0.51
(−0.99)(−2.26)(0.18)(−1.10)(−2.49)(0.46)
Nonsignatories1.181.81*−0.31Nonsignatories1.252.38**0.28
(1.23)(2.59)(−0.42)(1.29)(2.81)(0.36)
Spread (PRI minus non-PRI)−2.44**−7.42**0.50Spread (PRI minus non-PRI)−2.70**−8.62**0.23
(−3.92)(−3.07)(0.67)(−4.07)(−3.49)(0.27)
Panel G: FH + Bolton and Kacperczyk (2021) carbon emissions factor
Panel N: Stock holdings from 13F + FactSet
PRI signatories−0.67−5.10*0.52PRI signatories−1.24−4.82*0.01
(−0.51)(−2.03)(0.47)(−0.97)(−2.04)(0.01)
Nonsignatories1.552.08*−0.01Nonsignatories1.211.62−0.95
(1.60)(2.45)(−0.01)(1.26)(1.90)(−1.11)
Spread (PRI minus non-PRI)−2.23**−7.18**0.53Spread (PRI minus non-PRI)−2.45**−6.45**0.96
(−3.37)(−2.86)(0.71)(−3.93)(−2.84)(1.47)
Panel G: FH + Bolton and Kacperczyk (2021) carbon emissions factor
Panel N: Stock holdings from 13F + FactSet
PRI signatories−0.67−5.10*0.52PRI signatories−1.24−4.82*0.01
(−0.51)(−2.03)(0.47)(−0.97)(−2.04)(0.01)
Nonsignatories1.552.08*−0.01Nonsignatories1.211.62−0.95
(1.60)(2.45)(−0.01)(1.26)(1.90)(−1.11)
Spread (PRI minus non-PRI)−2.23**−7.18**0.53Spread (PRI minus non-PRI)−2.45**−6.45**0.96
(−3.37)(−2.86)(0.71)(−3.93)(−2.84)(1.47)
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