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.

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𝜌 = 0

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𝛽

0

𝑎𝑛𝑑 𝛽

1

)

(𝑒

𝑖

𝑎𝑛𝑑 𝜀

𝑖

) 𝑅

2

)

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𝑥 = 0.

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= 1

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𝜌

𝑥𝑦

=

𝑐𝑜𝑣(𝑥,𝑦)

𝜎𝑥∗ 𝜎𝑦

[

1 𝜌

1,2

𝜌

1,3

𝜌

2,1

1 𝜌

2,3

𝜌

3,1

𝜌

3,2

1

]

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𝑥 < µ − 3𝜎, µ + 3𝜎 > 𝑥

〈𝑥̃

0.25

− 1.5𝐼𝑄𝑅, 𝑥̃

0.25

− 3𝐼𝑄𝑅〉 ∪ 〈𝑥̃

0.75

+ 1.5𝐼𝑄𝑅, 𝑥̃

0.25

+ 3𝐼𝑄𝑅〉

〈𝑥̃

0.25

− 3𝐼𝑄𝑅, −∞〉 ∪ 〈𝑥̃

0.75

+ 3𝐼𝑄𝑅, + ∞〉

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𝑅𝑒𝑡𝑢𝑟𝑛𝑠 − 𝑅𝑖𝑠𝑘 𝐴𝑑𝑗𝑢𝑠𝑡𝑒𝑑 𝑅𝑒𝑡𝑢𝑟𝑛𝑠 = 𝑅𝑖𝑠𝑘

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𝑌

𝑖

= 𝛽0 + 𝛽1𝑆𝑢𝑠𝑡𝑎𝑖𝑛𝑎𝑏𝑖𝑙𝑖𝑡𝑦 𝑆𝑐𝑜𝑟𝑒

𝑖

+ 𝛽2𝐴𝑔𝑒

𝑖

+ 𝛽3𝑙𝑜𝑔 (𝐹𝑢𝑛𝑑 𝑆𝑖𝑧𝑒 𝐸𝑈𝑅)

𝑖

+ ∑𝑆𝑡𝑦𝑙𝑒 𝑆𝑖𝑧𝑒 𝐵𝑜𝑥

𝑖

+ 𝜀

𝑖

where:

Y

i

− alternative performance metrics for fund i

Sustainability Score

i

− ESG score provided by Morningstar for fund i Age

i

− years since inception date measured at April 2021 for fund i

log (Fund Size EUR)

i

− logarithm of mutual fund size in EUR temrs for fund i

∑Style Size Box

i

− dummies of Morningstar style and size categories for fund i

β0, β1, β2 and β3 are parameters of the regression and ε

i

is the error term for fund i

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𝑌

𝑖

= 𝛽0 + 𝛽1𝐸𝑛𝑣𝑖𝑟𝑜𝑛𝑚𝑒𝑛𝑡𝑎𝑙 𝑆𝑐𝑜𝑟𝑒

𝑖

+ 𝛽2𝑆𝑜𝑐𝑖𝑎𝑙 𝑆𝑐𝑜𝑟𝑒

𝑖

+ 𝛽3𝐺𝑜𝑣𝑒𝑟𝑛𝑎𝑛𝑐𝑒 𝑆𝑐𝑜𝑟𝑒

𝑖

+ 𝛽4𝐴𝑔𝑒

𝑖

+ 𝛽5𝑙𝑜𝑔 (𝐹𝑢𝑛𝑑 𝑆𝑖𝑧𝑒 𝐸𝑈𝑅)

𝑖

+ ∑𝑆𝑡𝑦𝑙𝑒 𝑆𝑖𝑧𝑒 𝐵𝑜𝑥

𝑖

+ 𝜀

𝑖

where:

Y

i

− alternative performance metrics for fund i

Environmental Score

i

− Environmental score provided by Morningstar for fund i Social Score

i

− Social score provided by Morningstar for fund i

Governance Score

i

− Governance score provided by Morningstar for fund i Age

i

− years since inception date measured at April 2021 for fund i

log (Fund Size EUR)

i

− logarithm of mutual fund size in EUR temrs for fund i

∑Style Size Box

i

− dummies of Morningstar style and size categories for fund i

β0, β1, β2, β3, β4 and β5 are parameters of the regression and ε

i

is the error term for fund i

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Sin Industries

i

− the sum of assets invested in "sin industries" for fund i Age

i

− years since inception date measured at April 2021 for fund i

log (Fund Size EUR)

i

− logarithm of mutual fund size in EUR temrs for fund i

∑Style Size Box

i

− dummies of Morningstar style and size categories for fund i

β0, β1, β2, and β3 are parameters of the regression and ε

i

is the error term for fund i

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■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■ ■

; =

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; =

; =

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𝐻1

𝑎𝑑𝑗𝑢𝑠𝑡𝑒𝑑

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𝐻3

𝑎𝑑𝑗𝑢𝑠𝑡𝑒𝑑

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𝐻2

𝑎𝑑𝑗

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𝐻3

𝑎𝑑𝑗

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