T = 32

COLLINERITY (ρ)

AUTOCO

LEVELS (d)

Models

−0.99

−0.95

−0.9

−0.85

−0.8

0.8

RMSE

MAE

RMSE

MAE

RMSE

MAE

RMSE

MAE

RMSE

MAE

RMSE

MAE

−0.99

VAR(2)

BVAR1

BVAR2

BVAR3

BVAR4

14.66326

8.868865

8.784330

8.384759

8.074158

12.02723

7.985698

7.892726

7.436469

7.105130

14.49286

10.102584

10.158533

9.541767

8.988559

12.43827

8.909668

8.929935

8.280112

7.738964

16.99112

11.231955

10.985347

10.144903

9.631319

14.07718

9.719722

9.457289

8.641844

8.138354

16.69649

11.92844

11.71362

10.671738

9.936045

13.97181

10.17850

9.93686

8.963683

8.274346

17.92657

12.40430

11.95375

11.066390

10.374309

14.74797

10.45598

10.00748

9.201769

8.564269

9.116383

6.826402

6.760333

6.793669

6.590898

7.499980

5.942840

5.873528

5.796042

5.585019

−0.95

VAR(2)

BVAR1

BVAR2

BVAR3

BVAR4

7.961468

5.665201

5.541683

5.46905

5.421003

6.722484

4.906067

4.792473

4.72311

4.674783

9.565847

6.354424

6.310088

6.183366

6.145703

7.915558

5.432254

5.371322

5.277268

5.225297

10.085588

6.891470

6.866607

6.669163

6.712264

8.349892

5.789703

5.750905

5.596393

5.627363

10.48444

7.365829

7.319716

7.157648

7.065304

8.62861

6.097293

6.049675

5.938573

5.851712

10.641119

7.715081

7.653206

7.464696

7.335338

8.743647

6.318872

6.261866

6.126180

6.017297

5.733142

4.471984

4.451677

4.725151

4.644578

4.571978

3.718808

3.698245

3.960498

3.891115

−0.9

VAR(2)

BVAR1

BVAR2

BVAR3

BVAR4

5.841933

4.322259

4.241650

4.176008

4.162391

4.849300

3.621030

3.547739

3.489640

3.486574

6.46564

4.754169

4.715024

4.608181

4.596080

5.31107

3.949948

3.908967

3.837052

3.822992

7.004660

5.150787

5.130988

4.987416

4.983092

5.702322

4.227924

4.197488

4.102516

4.096438

7.361425

5.500133

5.450288

5.294466

5.279011

5.974679

4.458332

4.405916

4.306556

4.294784

7.928795

5.802533

5.746614

5.550953

5.533153

6.366810

4.658706

4.603175

4.473654

4.462557

4.045249

3.578792

3.536624

3.858831

3.833990

3.175013

2.909100

2.878184

3.225961

3.203973

−0.85

VAR(2)

BVAR1

BVAR2

BVAR3

BVAR4

4.721373

3.712822

3.628486

3.552807

3.543409

3.824896

3.034552

2.960760

2.890184

2.891573

4.919008

4.028760

3.969323

3.823768

3.814055

4.011737

3.276196

3.220633

3.111200

3.105385

5.380163

4.305397

4.293373

4.136698

4.123026

4.337040

3.472099

3.452355

3.342128

3.331461

5.722676

4.600571

4.606864

4.384609

4.399845

4.590195

3.672320

3.673849

3.510920

3.526143

5.810400

4.885385

4.845367

4.621882

4.616055

4.656082

3.869882

3.836360

3.663847

3.664718

3.366717

3.132456

3.095521

3.464844

3.408097

2.590805

2.511884

2.490810

2.886642

2.840940

−0.8

VAR(2)

BVAR1

BVAR2

BVAR3

BVAR4

3.808556

3.305102

3.243816

3.186754

3.150463

3.052834

2.644278

2.584761

2.529159

2.501813

4.239043

3.562016

3.528487

3.380490

3.365043

3.368964

2.845597

2.806951

2.696674

2.685716

4.291196

3.823200

3.812184

3.632793

3.625036

3.438790

3.035168

3.021101

2.886910

2.881452

4.549485

4.069328

4.060453

3.869228

3.831084

3.624453

3.210558

3.201939

3.052689

3.025776

5.149671

4.345022

4.315298

4.069984

4.016312

3.989592

3.415132

3.390845

3.189529

3.149059

2.831364

2.864495

2.856141

3.217359

3.152122

2.138279

2.272026

2.274289

2.665676

2.608140

0.8

VAR(2)

BVAR1

BVAR2

BVAR3

BVAR4

3.732897

3.313597

3.266739

3.087334

3.023425

2.842723

2.633425

2.590845

2.404135

2.342413

3.49767

3.316029

3.283241

3.037585

2.993906

2.71882

2.614770

2.584817

2.353041

2.306430

3.530011

3.353025

3.298040

3.043436

2.995605

2.742267

2.652087

2.598611

2.357823

2.311568

3.443827

3.380967

3.364418

3.066925

3.017887

2.693251

2.684577

2.672576

2.389038

2.340079

3.734037

3.465971

3.443605

3.092260

3.023834

2.855492

2.777635

2.759310

2.417901

2.353389

2.715320

2.984894

2.987995

3.089470

2.949539

2.054366

2.399354

2.407203

2.515941

2.376680

0.85

VAR(2)

BVAR1

BVAR2

BVAR3

BVAR4

3.986471

3.607701

3.562427

3.333652

3.293919

3.192565

2.910104

2.865036

2.646939

2.604514

4.249872

3.625257

3.575762

3.324058

3.248592

3.362915

2.904919

2.866121

2.624462

2.550524

4.253023

3.638141

3.595043

3.330410

3.253474

3.344118

2.918589

2.876212

2.631034

2.559676

4.463272

3.698064

3.630191

3.326336

3.294338

3.502106

2.978903

2.922750

2.630352

2.600510

4.314869

3.742047

3.726171

3.344339

3.273909

3.431765

3.034855

3.022565

2.654069

2.589784

3.159290

3.172923

3.192029

3.25450

3.141835

2.420794

2.562054

2.582575

2.65923

2.544247

0.9

VAR(2)

BVAR1

BVAR2

BVAR3

BVAR4

7.341626

4.019399

3.995822

3.759712

3.683127

5.356272

3.284759

3.273663

3.049572

2.972334

5.689411

4.059390

4.016448

3.733388

3.683439

4.555991

3.308286

3.273467

3.012368

2.964628

5.555286

4.078738

4.060717

3.742516

3.674642

4.492584

3.327450

3.312161

3.023017

2.956385

5.899174

4.120367

4.089725

3.750787

3.685515

4.724377

3.374136

3.347477

3.028037

2.964958

5.607266

4.173862

4.111696

3.756089

3.690723

4.499744

3.428979

3.376803

3.037540

2.976093

4.056663

3.484817

3.497303

3.504424

3.415987

3.135429

2.824452

2.838614

2.871266

2.782976

0.95

VAR(2)

BVAR1

BVAR2

BVAR3

BVAR4

8.145542

4.641040

4.607863

4.354838

4.251027

6.570007

3.847504

3.826239

3.605449

3.504735

9.508336

4.723674

4.687587

4.375087

4.311251

7.313701

3.913560

3.886086

3.609372

3.547510

9.459770

4.778199

4.721712 4.448615

4.337292

7.365879

3.961433

3.922829

3.677085

3.572457

8.430181

4.808107

4.781962

4.379007

4.373170

6.769306

3.997918

3.987344

3.607476

3.603382

8.532818

4.862071

4.807260

4.466676

4.444653

6.899061

4.066127

4.024241

3.694930

3.672500

6.454197

3.910754

3.920832

3.905550

3.816804

4.744584

3.172627

3.188766

3.204876

3.122586

0.99

VAR(2)

BVAR1

BVAR2

BVAR3

BVAR4

9.910239

5.273782

5.263627

5.008186

5.015417

8.108691

4.418413

4.428455

4.212243

4.223160

10.231123

5.380396

5.375204

5.127955

5.058428

8.329465

4.505540

4.520336

4.304945

4.244019

12.840126

5.444321

5.469501

5.109050

5.084977

9.674357

4.564565

4.609911

4.278658

4.264155

11.277482

5.516622

5.551135

5.172752

5.202984

8.859553

4.648955

4.699438

4.340818

4.367991

11.194561

5.600328

5.608524

5.181618

5.241316

8.953436

4.735702

4.757579

4.347265

4.412264

8.788139

4.428247

4.475890

4.395432

4.337231

6.385497

3.595652

3.659284

3.616917

3.569237