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Table 1 Stocks time–frequency risk characteristics

From: Stock profiling using time–frequency-varying systematic risk measure

2012–2019

OLS beta

Tstat1

Sharpe

Treynor

SD

%Beta < 1

%Beta = 1

%Beta > 1

%Beta < 0

%Beta = 0

a) For stocks with an OLS beta equal to 1

Airbus

0.97

1.08

− 54.91

− 0.97

0.17

33.01

24.34

42.64

0

0

Airbus D1

0.95

2.01

0.00

0.00

0.20

44.38

19.26

36.36

0

0

Airbus D6

1.24

8.70

− 0.07

0.00

0.63

38.40

2.15

55.68

2.57

1.20

LVMH

1.00

0.19

− 63.14

− 0.95

0.22

39.29

20.33

40.37

0

0

LVMH D1

1.03

1.43

0.04

0.00

0.20

40.01

20.33

39.65

0

0

LVMH D6

1.06

2.35

− 0.06

0.00

0.35

23.09

6.58

70.16

0

0.18

b) For stocks with an OLS beta lesser than 1

Hermès

0.57

18.76

− 77.20

− 1.70

0.18

99.46

0.54

0

0

0

Hermès D1

0.54

19.69

0.01

0.00

0.20

99.88

0.12

0

0

0

Hermès D6

0.45

18.96

− 0.05

0.00

0.58

58.07

7.18

17.70

10.23

6.82

Ricard

0.59

20.56

− 85.14

− 1.68

0.11

100

0

0

0

0

Ricard D1

0.60

19.95

− 0.01

0.00

0.14

100

0

0

0

0

Ricard D6

0.67

15.67

− 0.14

0.00

0.36

74.82

9.99

8.25

2.99

3.95

Dassault

0.60

16.00

− 70.02

− 1.57

0.26

84.81

1.91

13.28

0

0

Dassault D1

0.60

16.01

− 0.01

0.00

0.30

83.85

2.51

13.64

0

0

Dassault D6

0.52

19.61

− 0.01

0.00

0.66

56.16

3.95

8.67

27.03

4.19

Thales

0.61

16.49

− 72.43

− 1.56

0.11

100

0

0

0

0

Thales D1

0.60

17.55

− 0.01

0.00

0.13

100

0

0

0

0

Thales D6

0.51

18.75

− 0.17

0.00

0.38

72.25

6.22

13.82

5.98

1.73

Publicis

0.65

13.04

− 68.46

− 1.57

0.08

100

0

0

0

0

Publicis D1

0.59

15.01

0.00

0.00

0.07

100

0

0

0

0

Publicis D6

0.66

14.20

0.15

0.00

0.60

56.40

2.87

26.38

11.72

2.63

Téléperformance

0.65

12.40

− 58.83

− 1.37

0.18

91.69

0.84

7.48

0

0

Téléperformance D1

0.60

14.28

0.01

0.00

0.21

91.87

0.66

7.48

0

0

Téléperformance D6

0.40

22.92

.0.00

0.00

0.48

67.17

2.39

12.14

15.31

2.99

Danone

0.68

17.13

− 86.03

− 1.48

0.10

98.50

1.50

0

0

0

Danone D1

0.72

15.43

0.04

0.00

0.09

99.94

0.06

0

0

0

Danone D6

0.67

18.92

− 0.09

0.00

0.29

84.75

6.76

4.49

1.38

2.63

Alstom

0.72

9.46

− 61.62

− 1.37

0.16

92.46

7.06

0.48

0

0

Alstom D1

0.71

10.53

0.03

0.00

0.14

94.38

4.31

1.32

0

0

Alstom D6

0.70

7.82

− 0.09

0.00

0.63

63.10

5.80

30.50

0.36

0.24

Eurofins

0.74

7.36

− 50.54

− 1.26

0.25

83.97

1.20

14.83

0

0

Eurofins D1

0.69

9.05

− 0.05

0.00

0.28

86.12

6.28

7.60

0

0

Eurofins D6

0.66

11.38

− 0.01

0.00

0.59

50

7.30

27.69

11.78

3.23

Veolia

0.75

9.51

− 64.21

− 1.31

0.12

98.80

1.20

0

0

0

Veolia D1

0.66

12.48

0.00

0.00

0.14

100

0

0

0

0

Veolia D6

0.75

8.14

− 0.07

0.00

0.47

60.94

8.25

27.99

2.39

0.42

L’oreal

0.78

11.69

− 78.25

− 1.24

0.12

98.03

1.97

0

0

0

L’oreal D1

0.82

9.58

0.06

0.00

0.12

89.17

10.77

0.06

0

0

L’oreal D6

0.71

15.97

− 0.13

0.00

0.24

86.24

10.77

2.99

0

0

Essilor

0.78

9.75

− 72.47

− 1.26

0.11

96.35

3.65

0

0

0

Essilor D1

0.80

9.19

− 0.02

0.00

0.13

94.80

5.20

0

0

0

Essilor D6

0.62

15.97

0.17

0.00

0.46

72.91

3.65

13.10

9.39

0.96

Vivendi

0.79

9.08

− 70.06

− 1.25

0.14

84.27

7.95

7.78

0

0

Vivendi D1

0.79

8.76

0.02

0.00

0.16

79.19

9.99

10.83

0

0

Vivendi D6

0.68

12.57

− 0.19

0.00

0.40

67.94

4.96

26.14

0.42

0.54

Legrand

0.80

10.63

− 76.41

− 1.21

0.09

94.98

5.02

0

0

0

Legrand D1

0.76

12.47

0.01

0.00

0.10

96.23

3.77

0

0

0

Legrand D6

0.92

4.27

− 0.11

0.00

0.28

57.18

9.21

33.61

0

0

Safran

0.83

7.30

− 66.14

− 1.12

0.17

72.07

3.65

24.28

0

0

Safran D1

0.76

10.52

− 0.01

0.00

0.17

73.03

20.33

6.64

0

0

Safran D6

0.76

12.17

− 0.02

0.00

0.40

48.80

9.87

39.77

0.24

1.32

Air liquide

0.85

9.56

− 82.79

− 1.16

0.12

77.15

18.00

4.84

0

0

Air liquide D1

0.88

7.56

0.05

0.00

0.10

69.44

30.56

0

0

0

Air liquide D6

0.96

2.47

− 0.09

0.00

0.38

53.17

7.83

38.58

0

0.42

Sanofi

0.85

7.04

− 73.09

− 1.17

0.13

77.09

22.19

0.72

0

0

Sanofi D1

0.92

4.06

0.02

0.00

0.16

68.24

18.00

13.76

0

0

Sanofi D6

0.66

13.91

− 0.13

0.00

0.42

68.60

4.72

16.69

5.92

4.07

Michelin

0.86

5.81

− 64.59

− 1.15

0.13

81.34

5.14

13.52

0

0

Michelin D1

0.81

7.81

0.02

0.00

0.12

76.02

22.61

1.38

0

0

Michelin D6

0.88

5.45

− 0.03

0.00

0.49

48.74

9.99

37.98

1.38

1.91

Engie

0.89

4.93

− 71.64

− 1.15

0.06

80.44

19.56

0

0

0

Engie D1

0.84

7.18

0.06

0.00

0.11

83.97

16.03

0

0

0

Engie D6

0.90

4.22

0.14

0.00

0.40

58.85

8.01

33.13

0

0

Vinci

0.90

5.53

− 73.45

− 1.07

0.13

55.08

37.86

7.06

0

0

Vinci D1

0.89

5.92

0.07

0.00

0.14

59.15

31.16

9.69

0

0

Vinci D6

0.60

22.79

− 0.13

0.00

0.33

77.99

9.09

12.86

0

0.06

Bouygues

0.90

3.39

− 58.32

− 1.09

0.14

48.86

24.40

26.73

0

0

Bouygues D1

0.88

4.09

0.02

0.00

0.20

45.93

10.41

43.66

0

0

Bouygues D6

0.75

8.48

− 0.12

0.00

0.56

55.68

8.97

35.35

0

0

Orange

0.92

3.50

− 66.95

− 1.09

0.20

54.01

24.76

21.23

0

0

Orange D1

0.94

2.77

0.00

0.00

0.21

57.24

14.83

27.93

0

0

Orange D6

0.87

4.24

− 0.13

0.00

0.67

64.11

3.65

24.28

5.80

2.15

Kering

0.92

2.74

− 55.55

− 1.01

0.27

58.79

11.60

29.61

0

0

Kering D1

0.93

2.54

0.00

0.00

0.27

44.62

20.39

34.99

0

0

Kering D6

1.08

2.89

− 0.06

0.00

0.54

35.29

7.24

55.80

0.72

0.96

Capgemini

0.92

2.95

− 59.42

− 1.03

0.16

77.27

6.52

16.21

0

0

Capgemini D1

0.89

4.26

− 0.02

0.00

0.17

78.11

5.14

16.75

0

0

Capgemini D6

1.02

0.61

− 0.10

0.00

0.54

40.91

5.08

53.95

0

0.06

Carrefour

0.94

2.26

− 61.42

− 1.08

0.27

57.06

27.09

15.85

0

0

Carrefour D1

0.91

3.31

0.02

0.00

0.31

62.68

21.65

15.67

0

0

Carrefour D6

0.86

4.77

0.13

0.00

0.59

53.05

9.99

28.83

5.74

2.39

Total

0.96

2.21

− 73.34

− 1.04

0.10

58.49

30.56

10.94

0

0

Total D1

0.96

2.21

− 0.01

0.00

0.10

55.32

33.13

11.54

0

0

Total D6

0.96

2.74

− 0.08

0.00

0.22

53.23

20.81

25.96

0

0

c) For stocks with an OLS beta greater than 1

Saint Gobain

1.12

5.48

− 62.52

− 0.90

0.09

0.12

34.45

65.43

0

0

Saint Gobain D1

1.10

4.54

0.00

0.00

0.11

20.57

34.75

44.68

0

0

Saint Gobain D6

1.02

0.98

0.01

0.00

0.36

26.79

9.45

63.76

0

0

Schneider

1.15

7.38

− 62.12

− 0.86

0.09

0.18

17.70

82.12

0

0

Schneider D1

1.16

7.88

0.02

0.00

0.10

0.24

24.46

75.30

0

0

Schneider D1

1.19

9.05

− 0.10

0.00

0.24

18.60

9.75

71.47

0.06

0.12

Renault

1.16

5.05

− 51.09

− 0.87

0.15

11.36

17.76

70.87

0

0

Renault D1

1.03

1.12

0.03

0.00

0.16

35.47

27.03

37.50

0

0

Renault D6

1.49

14.89

− 0.01

0.00

0.56

23.80

7.72

66.99

0.30

1.20

AXA

1.18

9.45

− 60.95

− 0.82

0.24

27.87

13.04

59.09

0

0

AXA D1

1.12

6.34

0.04

0.00

0.25

28.47

16.03

55.50

0

0

AXA D6

1.19

8.65

− 0.09

0.00

0.43

29.25

12.98

57.60

0.06

0.12

STMI

1.20

5.02

− 39.98

− 0.77

0.36

9.45

35.29

55.26

0

0

STMI D1

1.17

4.44

0.02

0.00

0.37

13.28

37.92

48.80

0

0

STMI D6

0.99

0.19

0.08

0.00

0.74

35.47

5.26

47.43

10.59

1.26

Stellantis

1.21

4.97

− 40.06

− 0.79

0.15

2.63

11.66

85.71

0

0

Stellantis D1

1.07

1.85

0.02

0.00

0.19

18.00

23.56

58.43

0

0

Stellantis D1

1.55

11.49

0.06

0.00

0.89

19.68

3.41

73.15

3.53

0.24

Crédit Agricole

1.31

10.79

− 47.67

− 0.72

0.22

12.56

7.24

80.20

0

0

Crédit Agricole D1

1.24

8.70

0.00

0.00

0.23

15.37

8.13

76.50

0

0

Crédit Agricole D1

1.50

15.66

− 0.06

0.00

0.39

4.43

4.31

91.27

0

0

BNP

1.31

14.50

− 55.96

− 0.75

0.22

4.19

10.47

85.35

0

0

BNP D1

1.28

13.42

0.01

0.00

0.21

9.27

5.68

85.05

0

0

BNP D6

1.24

10.77

− 0.02

0.00

0.35

11.30

8.31

80.38

0

0

Société Générale

1.47

17.25

− 47.81

− 0.67

0.33

12.08

1.61

86.30

0

0

Société Générale D1

1.41

15.74

0.02

0.00

0.36

13.46

7.06

79.49

0

0

Société Générale D6

1.49

15.08

− 0.06

0.00

0.61

12.92

6.04

81.04

0

0