CHR

COM:CHR-HANSEN

Chr. Hansen A/S

  • Stock

DKK

Last Close

553.00

30/01 15:59

Market Cap

72.33B

Beta: -

Volume Today

407.54K

Avg: -

Preview

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Feb '14
May '14
Aug '14
Nov '14
Feb '15
May '15
Aug '15
Nov '15
Feb '16
May '16
Aug '16
Nov '16
Feb '17
May '17
Aug '17
Nov '17
Feb '18
May '18
Aug '18
Nov '18
Feb '19
May '19
Aug '19
Nov '19
Feb '20
May '20
Aug '20
Nov '20
Feb '21
May '21
Aug '21
Nov '21
Feb '22
May '22
Aug '22
Nov '22
Feb '23
May '23
Aug '23
asset turnover
0.13
-
0.15
9.15%
0.15
2.38%
0.14
9.35%
0.15
9.59%
0.16
6.62%
0.16
2.25%
0.15
8.94%
0.14
5.42%
0.15
7.95%
0.15
0.81%
0.14
8.29%
0.14
5.54%
0.16
7.64%
0.16
1.07%
0.14
9.80%
0.15
2.86%
0.15
4.98%
0.16
4.15%
0.14
9.94%
0.15
2.66%
0.15
3.82%
0.15
2.79%
0.13
12.61%
0.14
7.52%
0.14
0.91%
0.03
77.44%
0.08
141.54%
0.08
6.54%
0.09
13.89%
0.09
2.92%
0.09
8.44%
0.10
12.02%
0.10
2.81%
0.10
0.46%
0.09
4.79%
0.10
7.67%
0.10
2.75%
0.10
4.20%
cash conversion cycle
47.71
-
36.42
23.66%
16.67
54.23%
49.31
195.82%
47.13
4.43%
38.82
17.63%
12.45
67.92%
44.34
256.04%
37.06
16.41%
42.22
13.92%
7.97
81.12%
47.60
497.12%
44.21
7.11%
38.68
12.51%
17.99
53.50%
50.81
182.51%
53.72
5.73%
51.74
3.70%
19.96
61.42%
58.44
192.80%
53.85
7.87%
57.55
6.88%
19.36
66.36%
58.27
201.00%
55.83
4.20%
48.91
12.39%
-186.18
480.64%
49.14
126.40%
54.70
11.31%
49.09
10.26%
1.31
97.34%
429.63
32,758.42%
426.64
0.69%
427.64
0.23%
398.41
6.84%
421.27
5.74%
56.08
86.69%
65.60
16.99%
100.14
52.64%
cash per share
0.40
-
0.35
12.70%
0.43
22.81%
0.38
10.87%
0.40
4.87%
0.55
35.66%
0.59
7.00%
0.43
26.98%
0.38
10.71%
0.46
19.28%
0.93
104.09%
0.47
49.28%
0.46
1.43%
0.47
1.80%
0.55
17.36%
0.40
28.36%
0.34
14.16%
0.44
27.70%
0.53
20.59%
0.37
28.97%
0.41
10.17%
0.51
24.90%
0.66
27.96%
0.63
3.58%
0.53
16.80%
0.61
15.41%
0.73
19.72%
0.56
23.41%
0.59
5.11%
0.61
3.48%
0.42
31.12%
0.42
1.15%
0.39
7.48%
0.43
10.91%
0.64
47.33%
0.42
34.54%
0.41
1.64%
0.49
19.24%
0.42
14.76%
company equity multiplier
2.16
-
2.12
1.83%
2.09
1.17%
2.22
6.15%
2.15
3.39%
2.08
3.22%
2.40
15.73%
2.58
7.40%
2.71
4.97%
2.49
8.14%
2.35
5.68%
2.54
7.99%
2.36
7.03%
2.24
4.87%
2.34
4.53%
2.56
9.01%
2.42
5.33%
2.28
5.65%
2.41
5.64%
2.63
9.17%
2.49
5.31%
2.36
5.37%
2.58
9.40%
2.88
11.70%
2.70
6.46%
2.70
0.02%
3.20
18.49%
3.47
8.56%
3.30
4.82%
1.98
40.01%
1.92
3.32%
1.98
3.49%
1.91
3.42%
1.85
3.51%
18.33
892.66%
1.89
89.69%
1.86
1.41%
1.84
1.02%
1.81
2.12%
days of inventory outstanding
107.81
-
92.02
14.65%
90.82
1.30%
113.33
24.79%
96.87
14.53%
91.41
5.64%
89.92
1.63%
110.06
22.40%
110.36
0.27%
97.33
11.80%
92.94
4.51%
107.17
15.31%
102.06
4.76%
97.48
4.49%
98.05
0.58%
110.04
12.23%
111.77
1.57%
109.13
2.36%
103.61
5.06%
118.15
14.03%
116.22
1.63%
117.58
1.16%
111.03
5.57%
126.68
14.10%
115.17
9.08%
113.72
1.26%
-1.08K
1,048.89%
115.28
110.68%
109.01
5.45%
104.34
4.28%
97.26
6.78%
106.36
9.36%
102.06
4.05%
105.43
3.30%
112.88
7.06%
128.88
14.18%
121.73
5.55%
125.27
2.91%
109.65
12.47%
days of payables outstanding
60.10
-
55.60
7.50%
74.15
33.37%
64.02
13.66%
49.74
22.31%
52.59
5.73%
77.46
47.30%
65.72
15.16%
73.30
11.53%
55.11
24.81%
84.97
54.18%
59.57
29.89%
57.85
2.89%
58.80
1.64%
80.06
36.16%
59.23
26.02%
58.05
2.00%
57.40
1.12%
83.65
45.74%
59.70
28.63%
62.38
4.48%
60.02
3.78%
91.67
52.72%
68.41
25.37%
59.35
13.24%
64.81
9.21%
-892.94
1,477.73%
66.14
107.41%
54.30
17.90%
55.25
1.74%
95.96
73.69%
71.03
25.97%
72.35
1.85%
68.27
5.64%
82.81
21.30%
68.48
17.31%
65.65
4.12%
59.67
9.12%
62.95
5.51%
days of sales outstanding
394.30
-
396.94
0.67%
390.48
1.63%
368.34
5.67%
360.87
2.03%
53.44
-
dividend yield
0.03
-
0.01
-
0.02
-
0.01
-
0.01
-
0.01
-
0.01
-
0.01
-
0.01
-
0.01
-
0.01
-
0.01
-
0.01
-
0.02
-
ebit per revenue
0.23
-
0.27
19.59%
0.28
0.58%
0.23
16.12%
0.25
8.72%
0.28
11.24%
0.31
11.27%
0.25
19.07%
0.25
0.96%
0.28
12.17%
0.29
4.22%
0.27
8.35%
0.27
0.97%
0.29
8.08%
0.32
9.28%
0.25
20.24%
0.27
6.21%
0.30
10.05%
0.34
13.85%
0.26
22.86%
0.28
5.63%
0.30
10.16%
0.33
7.23%
0.25
21.86%
0.28
9.11%
0.30
7.46%
0.77
156.99%
0.23
70.53%
0.25
12.21%
0.25
0.11%
0.29
13.00%
0.25
14.44%
0.27
11.57%
0.27
3.01%
0.27
0.52%
0.24
8.71%
0.27
10.70%
0.25
6.64%
0.28
11.38%
ebt per ebit
0.89
-
0.94
5.52%
0.94
0.31%
0.93
1.25%
0.91
1.52%
0.97
6.00%
0.96
0.72%
0.96
0.09%
0.87
8.90%
0.98
12.63%
0.92
6.16%
0.96
3.58%
0.96
0.05%
0.94
1.96%
0.95
1.48%
0.93
1.97%
0.93
0.25%
0.94
0.49%
0.91
3.25%
0.94
4.33%
0.96
1.81%
0.94
2.02%
0.97
3.04%
0.94
3.69%
0.94
0.02%
0.97
3.84%
0.93
4.42%
0.85
8.14%
0.91
6.59%
0.90
0.65%
0.90
0.07%
0.91
0.90%
0.91
0.30%
0.93
1.45%
0.90
3.31%
0.86
3.76%
0.85
1.72%
0.91
7.65%
0.79
13.68%
effective tax rate
0.27
-
0.27
1.52%
0.27
1.85%
0.26
4.59%
0.26
0.64%
0.26
0.80%
0.26
0.07%
0.25
4.49%
0.25
0.59%
0.25
0.20%
0.19
24.53%
0.24
26.93%
0.24
0.34%
0.24
0.06%
0.21
14.20%
0.23
11.69%
0.23
0.38%
0.23
0.44%
0.23
1.00%
0.23
1.07%
0.23
0.16%
0.23
0.12%
0.23
0.77%
0.23
0.61%
0.23
0.06%
0.23
0.06%
0.17
27.28%
0.23
37.73%
0.23
0.05%
0.23
0.09%
0.12
48.55%
0.23
94.22%
0.23
0.11%
0.26
11.34%
0.21
18.51%
0.24
14.70%
0.24
0.41%
0.24
0.69%
0.23
4.92%
enterprise value multiple
93.37
-
84.36
9.65%
82.89
1.75%
113.00
36.32%
109.33
3.25%
98.58
9.83%
79.43
19.42%
152.11
91.50%
113.76
25.21%
111.14
2.31%
114.89
3.38%
112.40
2.17%
114.58
1.94%
107.70
6.00%
122.89
14.10%
166.57
35.54%
136.03
18.33%
136.59
0.41%
141.55
3.63%
156.59
10.63%
158.92
1.48%
142.95
10.04%
106.21
25.70%
147.81
39.16%
109.94
25.62%
129.10
17.43%
187.10
44.92%
184.87
1.19%
143.73
22.25%
113.64
20.94%
216.25
90.29%
149.74
30.76%
116.94
21.91%
120.16
2.75%
98.24
18.24%
117.14
19.24%
101.27
13.54%
109.78
8.40%
61.86
43.65%
fixed asset turnover
0.64
-
0.69
7.66%
0.68
0.89%
0.62
9.70%
0.68
9.39%
0.72
7.03%
0.72
0.65%
0.64
10.32%
0.66
3.07%
0.71
7.02%
0.72
1.79%
0.65
10.14%
0.67
3.26%
0.71
5.47%
0.69
2.87%
0.60
12.41%
0.62
2.21%
0.64
3.34%
0.64
0.90%
0.56
12.50%
0.57
2.03%
0.59
2.41%
0.53
9.88%
0.43
17.97%
0.46
6.51%
0.48
4.37%
0.14
71.81%
0.35
153.86%
0.36
5.24%
0.38
4.19%
0.38
0.99%
0.34
9.54%
0.38
11.86%
0.39
2.22%
0.37
3.65%
0.36
4.73%
0.38
7.76%
0.35
7.95%
0.36
1.62%
free cash flow per share
0.24
-
0.30
27.20%
0.54
77.28%
-0.23
143.65%
0.32
234.85%
0.41
30.23%
0.66
59.85%
-0.13
119.44%
0.23
280.49%
0.32
37.21%
0.87
175.31%
-0.17
119.57%
0.33
291.54%
0.52
58.41%
0.68
30.65%
-0.14
121.12%
0.23
259.57%
0.49
114.57%
0.91
85.09%
-0.25
127.79%
0.30
219.28%
0.36
21.39%
0.78
114.23%
-0.05
106.92%
0.35
750.00%
0.77
118.56%
0.78
2.02%
-0.18
122.36%
0.27
256.73%
0.50
83.40%
0.58
15.06%
0.42
28.10%
0.23
45.85%
0.23
1.60%
0.41
76.77%
0.12
69.31%
0.26
106.13%
0.53
104.89%
0.51
3.74%
gross profit margin
0.52
-
0.50
3.66%
0.52
2.76%
0.51
1.31%
0.50
1.49%
0.52
3.97%
0.54
2.22%
0.52
2.45%
0.53
0.77%
0.53
1.21%
0.55
2.27%
0.53
2.13%
0.54
0.62%
0.54
0.93%
0.56
3.59%
0.53
6.44%
0.53
1.71%
0.56
4.00%
0.57
2.51%
0.55
3.62%
0.55
0.48%
0.57
3.52%
0.58
1.85%
0.55
3.95%
0.55
0.82%
0.55
0.07%
1.11
102.97%
0.56
49.88%
0.57
1.44%
0.57
1.09%
0.58
0.85%
0.55
4.97%
0.56
2.02%
0.55
1.59%
0.56
1.78%
0.54
3.85%
0.54
0.20%
0.54
0.84%
0.55
0.89%
interest coverage
69.30
-
72
-
17.97
75.04%
14.30
-
16.29
13.91%
20.12
23.47%
-25.74
227.92%
9.92
138.55%
6.60
33.46%
18.73
183.78%
inventory turnover
0.83
-
0.98
17.16%
0.99
1.32%
0.79
19.86%
0.93
17.00%
0.98
5.97%
1.00
1.66%
0.82
18.30%
0.82
0.27%
0.92
13.38%
0.97
4.73%
0.84
13.28%
0.88
5.00%
0.92
4.70%
0.92
0.58%
0.82
10.90%
0.81
1.54%
0.82
2.41%
0.87
5.33%
0.76
12.30%
0.77
1.66%
0.77
1.15%
0.81
5.90%
0.71
12.36%
0.78
9.99%
0.79
1.27%
-0.08
110.54%
0.78
1,036.05%
0.83
5.76%
0.86
4.48%
0.93
7.27%
0.85
8.56%
0.88
4.22%
0.85
3.20%
0.80
6.60%
0.70
12.42%
0.74
5.87%
0.72
2.83%
0.82
14.25%
long term debt to capitalization
0.44
-
0.43
2.71%
0.41
4.29%
0.43
5.46%
0.43
0.40%
0.41
5.22%
0.47
15.57%
0.49
3.75%
0.51
4.02%
0.46
8.90%
0.45
2.70%
0.47
3.08%
0.48
3.87%
0.45
6.52%
0.47
3.23%
0.48
3.02%
0.47
1.22%
0.44
7.38%
0.45
2.46%
0.47
4.94%
0.48
1.05%
0.44
6.88%
0.48
6.97%
0.49
4.03%
0.50
1.86%
0.48
5.31%
0.45
5.32%
0.46
1.63%
0.50
9.09%
0.35
30.72%
0.33
5.79%
0.36
8.68%
0.34
5.23%
0.33
1.14%
0.83
147.70%
0.37
55.75%
0.35
3.43%
0.35
0.70%
0.33
6.59%
net income per ebt
0.73
-
0.73
0.20%
0.73
0.94%
0.74
1.99%
0.74
0.23%
0.74
0.06%
0.74
0.39%
0.75
1.78%
0.75
0.20%
0.75
0.07%
0.81
8.18%
0.76
6.26%
0.76
0.11%
0.76
0.02%
0.79
4.49%
0.77
3.03%
0.77
0.11%
0.77
0.13%
0.77
0.30%
0.77
0.32%
0.77
0.05%
0.77
0.04%
0.77
0.23%
0.77
0.18%
0.77
0.02%
0.77
0.02%
0.83
8.15%
0.88
5.99%
0.88
0.24%
0.77
12.99%
0.91
18.28%
0.77
15.43%
0.77
0.03%
0.74
3.39%
0.79
6.38%
0.76
3.88%
0.76
0.13%
0.76
0.22%
0.77
1.54%
net profit margin
0.15
-
0.19
26.44%
0.19
0.67%
0.16
15.52%
0.17
7.32%
0.20
17.84%
0.22
10.04%
0.18
17.70%
0.16
9.95%
0.21
26.42%
0.22
5.79%
0.19
11.02%
0.20
0.91%
0.21
5.99%
0.24
15.87%
0.18
24.18%
0.19
6.06%
0.21
10.44%
0.24
10.47%
0.19
19.77%
0.20
7.60%
0.22
7.89%
0.24
10.75%
0.18
24.88%
0.20
9.10%
0.22
11.61%
0.59
165.65%
0.17
71.31%
0.20
19.90%
0.18
13.46%
0.24
33.74%
0.17
26.99%
0.19
11.86%
0.18
4.94%
0.19
3.40%
0.16
15.55%
0.17
8.65%
0.18
0.72%
0.17
2.37%
operating cash flow per share
0.33
-
0.41
23.04%
0.70
72.03%
-0.12
117.64%
0.42
437.25%
0.55
30.85%
0.85
54.89%
0.01
98.91%
0.41
4,374.19%
0.47
13.08%
1.01
114.90%
0.02
98.17%
0.52
2,709.25%
0.69
33.17%
0.94
36.35%
0.03
96.63%
0.39
1,148.16%
0.70
77.28%
1.17
67.93%
-0.02
102.01%
0.53
2,334.87%
0.64
21.15%
1.10
72.30%
0.17
84.89%
0.55
230.30%
0.95
73.29%
1.08
12.71%
0.23
78.36%
0.43
86.36%
0.67
54.85%
1.02
52.37%
0.55
46.36%
0.43
21.12%
0.48
10.11%
0.90
89.16%
0.26
71.58%
0.48
85.64%
0.82
71.34%
0.85
4.22%
operating cycle
107.81
-
92.02
14.65%
90.82
1.30%
113.33
24.79%
96.87
14.53%
91.41
5.64%
89.92
1.63%
110.06
22.40%
110.36
0.27%
97.33
11.80%
92.94
4.51%
107.17
15.31%
102.06
4.76%
97.48
4.49%
98.05
0.58%
110.04
12.23%
111.77
1.57%
109.13
2.36%
103.61
5.06%
118.15
14.03%
116.22
1.63%
117.58
1.16%
111.03
5.57%
126.68
14.10%
115.17
9.08%
113.72
1.26%
-1.08K
1,048.89%
115.28
110.68%
109.01
5.45%
104.34
4.28%
97.26
6.78%
500.66
414.74%
499.00
0.33%
495.91
0.62%
481.22
2.96%
489.75
1.77%
121.73
75.14%
125.27
2.91%
163.09
30.19%
operating profit margin
0.23
-
0.27
19.59%
0.28
0.58%
0.23
16.12%
0.25
8.72%
0.28
11.24%
0.31
11.27%
0.25
19.07%
0.25
0.96%
0.28
12.17%
0.29
4.22%
0.27
8.35%
0.27
0.97%
0.29
8.08%
0.32
9.28%
0.25
20.24%
0.27
6.21%
0.30
10.05%
0.34
13.85%
0.26
22.86%
0.28
5.63%
0.30
10.16%
0.33
7.23%
0.25
21.86%
0.28
9.11%
0.30
7.46%
0.77
156.99%
0.23
70.53%
0.25
12.21%
0.25
0.11%
0.29
13.00%
0.25
14.44%
0.27
11.57%
0.27
3.01%
0.27
0.52%
0.24
8.71%
0.27
10.70%
0.25
6.64%
0.28
11.38%
payables turnover
1.50
-
1.62
8.11%
1.21
25.02%
1.41
15.82%
1.81
28.71%
1.71
5.42%
1.16
32.11%
1.37
17.87%
1.23
10.34%
1.63
33.00%
1.06
35.14%
1.51
42.63%
1.56
2.98%
1.53
1.61%
1.12
26.56%
1.52
35.18%
1.55
2.04%
1.57
1.13%
1.08
31.39%
1.51
40.11%
1.44
4.29%
1.50
3.92%
0.98
34.52%
1.32
34.00%
1.52
15.27%
1.39
8.43%
-0.10
107.26%
1.36
1,450.09%
1.66
21.80%
1.63
1.71%
0.94
42.43%
1.27
35.09%
1.24
1.82%
1.32
5.97%
1.09
17.56%
1.31
20.93%
1.37
4.30%
1.51
10.03%
1.43
5.22%
pretax profit margin
0.20
-
0.26
26.19%
0.26
0.27%
0.21
17.17%
0.23
7.08%
0.27
17.91%
0.30
10.46%
0.24
19.14%
0.22
9.77%
0.28
26.34%
0.27
2.20%
0.26
5.07%
0.26
1.02%
0.27
5.97%
0.30
10.90%
0.24
21.81%
0.25
5.94%
0.28
10.58%
0.31
10.14%
0.25
19.52%
0.27
7.54%
0.29
7.93%
0.32
10.49%
0.24
24.75%
0.26
9.12%
0.29
11.59%
0.71
145.64%
0.19
72.93%
0.23
19.61%
0.23
0.54%
0.26
13.08%
0.22
13.66%
0.25
11.90%
0.25
1.61%
0.24
2.80%
0.21
12.14%
0.23
8.79%
0.23
0.50%
0.22
3.86%
price fair value
6.47
-
6.66
2.88%
6.32
4.97%
7.17
13.31%
8.04
12.21%
8.41
4.64%
9.75
15.88%
13.66
40.08%
12.09
11.51%
11.01
8.90%
9.60
12.80%
9.79
1.92%
9.65
1.41%
10.27
6.44%
12.37
20.49%
14.41
16.47%
11.97
16.94%
13.34
11.46%
14.90
11.70%
14.66
1.67%
15.28
4.24%
14.85
2.82%
12.75
14.13%
12.45
2.37%
10.77
13.50%
13.53
25.67%
14.23
5.16%
11.65
18.12%
9.20
21.05%
6.26
31.98%
6.34
1.27%
5.52
12.90%
5.28
4.41%
5.21
1.15%
41.62
698.10%
4.40
89.44%
4.88
11.12%
4.80
1.82%
4.25
11.49%
receivables turnover
0.23
-
0.23
0.67%
0.23
1.65%
0.24
6.01%
0.25
2.07%
1.68
-
return on assets
0.02
-
0.03
38.02%
0.03
1.70%
0.02
23.42%
0.03
17.61%
0.03
25.64%
0.04
12.51%
0.03
25.06%
0.02
14.83%
0.03
36.48%
0.03
4.94%
0.03
18.39%
0.03
6.50%
0.03
14.08%
0.04
17.12%
0.03
31.61%
0.03
9.09%
0.03
15.94%
0.04
15.06%
0.03
27.75%
0.03
10.46%
0.03
12.02%
0.04
7.66%
0.02
34.35%
0.03
17.31%
0.03
10.59%
0.02
40.07%
0.01
30.70%
0.02
27.73%
0.02
1.44%
0.02
37.66%
0.01
33.15%
0.02
25.31%
0.02
2.27%
0.02
2.93%
0.02
19.59%
0.02
16.98%
0.02
2.05%
0.02
1.73%
return on capital employed
0.03
-
0.05
30.58%
0.05
5.81%
0.04
22.62%
0.04
15.14%
0.05
19.38%
0.06
17.77%
0.05
23.83%
0.04
5.13%
0.05
21.34%
0.05
0.08%
0.05
12.17%
0.04
3.35%
0.05
17.18%
0.06
12.60%
0.04
23.99%
0.05
5.00%
0.05
15.73%
0.07
21.99%
0.05
27.21%
0.05
2.25%
0.06
14.89%
0.06
3.87%
0.04
26.60%
0.05
8.66%
0.05
11.77%
0.04
28.92%
0.03
24.74%
0.03
7.19%
0.03
8.95%
0.03
15.62%
0.02
22.22%
0.03
24.35%
0.03
2.90%
0.03
0.69%
0.03
15.70%
0.03
19.91%
0.03
9.59%
0.03
17.98%
return on equity
0.04
-
0.06
35.49%
0.06
0.51%
0.05
18.71%
0.05
13.62%
0.07
21.59%
0.09
30.21%
0.07
19.51%
0.06
10.60%
0.08
25.37%
0.08
1.03%
0.07
11.87%
0.07
0.98%
0.07
8.53%
0.09
22.42%
0.07
25.45%
0.07
3.28%
0.07
9.39%
0.09
21.56%
0.07
21.12%
0.07
4.59%
0.08
6.00%
0.09
17.78%
0.07
26.67%
0.08
9.74%
0.08
10.58%
0.06
28.99%
0.04
24.77%
0.05
21.58%
0.03
40.88%
0.04
33.09%
0.03
30.82%
0.04
21.02%
0.03
5.70%
0.34
921.72%
0.03
91.71%
0.03
15.33%
0.03
3.04%
0.03
0.43%
total debt to capitalization
0.44
-
0.43
2.66%
0.41
4.21%
0.44
5.48%
0.45
2.66%
0.42
5.39%
0.48
14.44%
0.50
3.65%
0.56
11.05%
0.52
6.61%
0.48
8.30%
0.50
5.43%
0.50
1.38%
0.46
6.58%
0.48
2.86%
0.50
4.51%
0.51
2.20%
0.47
6.97%
0.49
2.37%
0.52
6.49%
0.52
0.73%
0.49
5.65%
0.51
3.32%
0.55
7.65%
0.55
0.29%
0.54
1.58%
0.61
13.90%
0.65
6.59%
0.64
2.29%
0.40
37.53%
0.37
7.53%
0.39
6.84%
0.38
4.68%
0.36
4.80%
0.84
134.97%
0.38
55.23%
0.37
2.46%
0.36
1.51%
0.33
9.69%

All numbers in DKK (except ratios and percentages)