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Table 6 Time–Frequency sensitivities of Portfolios compared to Standard Multi Beta Model

From: A wavelet approach of investing behaviors and their effects on risk exposures

 

\(\beta_{m}\)

\(\beta_{o}\)

\(\beta_{g}\)

\(\beta_{SMB}\)

\(\beta_{HML}\)

Pf1D1

1.0128

− 0.0147

− 0.0271

0.0137**

0.0111

Pf1D2

1.0293

− 0.0272

− 0.0463

0.0710**

0.0850

Pf1D3

1.0420**

− 0.0264

− 0.0429

0.0971**

0.1141**

Pf1D4

1.0647**

− 0.0514**

− 0.0187**

0.0092**

0.1505**

Pf1D5

1.0397**

− 0.0313

− 0.0945**

0.1586**

0.1510**

Pf1D6

1.0733**

− 0.0766**

− 0.1362**

0.2349**

0.1661**

Pf2D1

0.9885

− 0.0016

− 0.0065

0.0343

0.0483

Pf2D2

0.9934

− 0.0141

0.0003

0.0589

0.0820

Pf2D3

0.9944

− 0.0141*

0.0021

0.1075*

0.0089**

Pf2D4

0.9873

− 0.0066

− 0.0170

0.0982

0.0187

Pf2D5

1.0446*

− 0.0349**

0.0191**

0.0430

− 0.0143**

Pf2D6

1.0543*

− 0.0253**

0.0110**

0.2653**

0.0509

Pf3D1

0.9007

0.0841*

0.0814

− 0.0160

0.0718

Pf3D2

0.8970

0.1280*

0.0864

− 0.0293

0.0391

Pf3D3

0.8950

0.1728**

0.0418**

0.0514

0.0833

Pf3D4

0.9037

0.2112**

0.0900

0.1715**

− 0.1186**

Pf3D5

0.9480**

0.1289*

0.1681**

− 0.0005

− 0.1963**

Pf3D6

0.8555*

0.2942**

0.0317**

− 0.3159**

0.1596**

Pf4D1

1.1218

− 0.0145

− 0.0594

0.0049

0.0812

Pf4D2

1.1128

− 0.0205

− 0.0717

0.0492

0.1634

Pf4D3

1.1200

− 0.0116

− 0.0821

0.0491

0.2383**

Pf4D4

1.1252

− 0.0386**

− 0.0900

− 0.0489**

0.2568**

Pf4D5

1.1236

− 0.0547**

− 0.0614

0.0899**

0.1965**

Pf4D6

1.0841*

− 0.0737**

− 0.1897*

0.0319

0.1994**

Pf5D1

0.9590

− 0.0170

0.0028

0.0355

− 0.0127

Pf5D2

0.9819**

− 0.0299*

− 0.0042

0.0534

− 0.0151

Pf5D3

1.0034**

− 0.0195

− 0.0112

0.0162

− 0.0138

Pf5D4

0.9909**

− 0.0232

0.0186*

0.0467

− 0.0022

Pf5D5

1.0405**

− 0.0478**

0.0735**

0.1658

− 0.0968

Pf5D6

0.9506

− 0.0004**

0.0366**

0.2996

− 0.1889

Pf6D1

0.8737

0.0187

0.0281

− 0.0305

0.0286

Pf6D2

0.8878

0.0268

0.0598**

0.0167

0.0454

Pf6D3

0.8766

0.0432**

0.0446

0.0704**

− 0.0348

Pf6D4

0.8704

0.0406**

0.0554*

0.0990

− 0.0644

Pf6D5

0.9172**

0.0238

0.0427

0.0207**

− 0.0078**

Pf6D6

0.9040**

0.0826**

0.0914**

− 0.0105**

− 0.0724**

Pf7D1

1.0379

− 0.0093

− 0.0036

0.0221**

0.0335

Pf7D2

1.0327

− 0.0157

− 0.0019

0.0557

0.0352

Pf7D3

1.0351

− 0.0322**

0.0011

− 0.0112**

− 0.0142

Pf7D4

1.0493**

− 0.0262**

− 0.0096

− 0.0128**

− 0.0828

Pf7D5

0.9905**

− 0.0324**

− 0.0170

0.1034

0.1163**

Pf7D6

0.8777**

− 0.0322**

− 0.0040

− 0.0196**

− 0.0251**

Pf8D1

0.9905

− 0.0113

0.0165

0.0122

0.0521

Pf8D2

0.9980

− 0.0110

0.0071

0.0558

0.0773

Pf8D3

1.0520**

− 0.0175

− 0.0202*

0.0096

− 0.0050**

Pf8D4

1.0544**

− 0.0545**

− 0.0002

0.0437

0.0799**

Pf8D5

1.0579**

− 0.0492**

0.0389**

0.1166

− 0.0528

Pf8D6

0.9568**

− 0.0144

− 0.0880**

0.1087

0.3633**