Table 1 Cumulative wealth achieved by DENRPO1-OLMAR about different permutations and combinations of \(\eta\) and \(\tau\) with transaction costs rates is 0.5%.

From: Doubly elastic net regularized online portfolio optimization with transaction costs

\(\eta\)

\(\tau\):

NYSE(O)

\(\tau\):

NYSE(N)

0

0.000025

0.00005

0.00025

0.0005

0.0025

0

0.000025

0.00005

0.00025

0.0005

0.0025

0

5.97E+04

5.98E+04

5.97E+04

5.81E+04

5.15E+04

4.65E+04

763.70

763.70

772.93

879.00

913.13

1139.95

0.0001

5.97E+04

5.98E+04

6.04E+04

6.07E+04

5.40E+04

4.93E+04

958.02

946.80

937.77

893.85

885.40

1134.85

0.00025

6.55E+04

6.57E+04

6.59E+04

6.22E+04

5.15E+04

5.41E+04

926.93

908.29

893.22

851.52

863.37

1125.12

0.0005

5.95E+04

5.92E+04

5.89E+04

5.56E+04

5.11E+04

6.09E+04

799.16

798.30

798.24

830.95

970.20

1101.40

0.001

4.91E+04

4.94E+04

4.96E+04

5.37E+04

5.57E+04

6.47E+04

1084.07

1083.87

1084.05

1091.84

1125.76

1025.02

0.0025

7.33E+04

7.32E+04

7.32E+04

7.21E+04

6.95E+04

5.45E+04

850.13

849.59

849.03

857.17

877.98

944.05

\(\eta\)

\(\tau\):

TSE

\(\tau\):

MSCI

0

0.000025

0.00005

0.00025

0.0005

0.0025

0

0.000025

0.00005

0.00025

0.0005

0.0025

0

1.47

1.47

1.47

1.48

1.51

2.25

0.90

0.90

0.90

0.90

0.93

0.97

0.0001

1.50

1.50

1.50

1.50

1.55

2.20

0.90

0.90

0.90

0.93

0.95

0.97

0.00025

1.53

1.53

1.53

1.56

1.63

2.12

0.96

0.96

0.96

0.97

0.97

0.98

0.0005

1.65

1.67

1.69

1.76

1.76

1.99

1.01

1.01

1.01

1.00

0.99

0.98

0.001

1.72

1.72

1.71

1.67

1.65

1.82

1.03

1.03

1.03

1.02

1.01

0.99

0.0025

1.27

1.27

1.27

1.28

1.29

1.51

1.05

1.05

1.05

1.04

1.04

1.01