Traditional

Look-back

F1

F2

F3

F1

F2

F3

Minimum

−0.1190

−0.1344

−0.1214

0.0115

0.0212

0.0270

Maximum

0.2180

0.2696

0.3056

0.0318

0.0352

0.0390

Mean

0.0182

0.0318

0.0441

0.0174

0.0281

0.0316

Std.dev

0.0436

0.0616

0.0759

0.0029

0.0030

0.0023

Skewness

0.8549

0.8549

0.8549

0.8028

0.0859

0.1989

Kurtosis

4.6322

3.3816

2.6236

5.7892

2.5476

2.3364

Jarque-Bera

563.92

169.15

56.16

1045.20

23.89

60.81

Asian option

Asian option with mean-reverting

F1

F2

F3

F1

F2

F3

Minimum

0.0031

0.0058

0.0073

−0.0046

0.0071

0.0118

Maximum

0.0084

0.0094

0.0103

0.0203

0.0322

0.0473

Mean

0.0047

0.0076

0.0085

0.0132

0.0197

0.0254

Std.dev

0.0008

0.0008

0.0006

0.0030

0.0041

0.0055

Skewness

0.6710

0.0485

0.1746

−1.6477

−0.0281

0.3702

Kurtosis

5.2393

2.5476

2.3116

9.8904

3.0386

3.1870

Jarque-Bera

687.59

21.86

60.55

5891.50

0.45

58.84