Pricing American-style Derivatives under the Heston Model Dynamics: A Fast Fourier Transformation in the Geske–Johnson Scheme



Table 3: Calibrated Parameters

Parameter

Value

Parameter

Value

Vt,0i

0.011392

a

0.353948

vt,02

0.010889

β

9.561292

vt,оз

0.008932

7

0.763721

υt,0i

0.016582

P

-0.692404

Vt,05

0.012725

vt,06

0.015280

Table 4: Pricing Errors: September Expiring OEX Options

June 30

July 1

July 2

July 6

July 7

July 8

July 9

St

553.87

549.01

547.17

543.33

544.25

540.21

542.63

X, type

400, put

...

...

...

...

0.116577

...

0.170837

420, put

...

...

0.467125

...

...

...

...

440, put

0.272164

0.365445

0.337645

...

...

...

...

450, put

...

...

0.578615

...

0.476928

0.448424

...

460, put

0.477434

0.636137

...

0.555188

0.561046

0.419271

...

480, put

0.233909

0.738647

...

...

0.561046

...

0.926725

490, put

...

...

0.795218

...

...

...

...

500, put

...

0.852520

0.544044

0.434873

0.339729

0.603371

0.735753

510, put

0.694260

0.274149

...

...

0.101801

0.229474

0.419345

520, put

-0.503378

-0.343453

0.302446

-0.048642

-0.521728

-0.126598

-0.174747

530, put

-0.591617

...

...

0.175511

-0.740207

-0.090279

0.525561

540, put

-2.429237

-0.154515

-1.027132

-1.014578

-1.725362

...

-0.131715

550, put

-2.538264

0.520023

-0.366053

-0.103850

-0.295665

-1.805092

...

560, put

-1.522215

...

...

-1.752594

...

0.002115

-1.306124

580, put

...

-1.011618

...

0.074978

...

...

...

500, call

...

2.438584

...

...

...

...

...

520, call

...

...

...

...

...

3.296368

...

530, call

...

...

...

1.810402

3.058499

...

...

540, call

1.619276

...

1.490850

1.081886

2.824853

0.942793

1.105416

550, call

1.902790

1.470218

0.824900

...

...

0.172171

0.736377

560, call

0.590900

-0.086137

0.518619

0.387300

1.983925

-0.040926

0.415623

570, call

0.673686

-0.082919

-0.062988

0.107370

0.934013

0.116647

0.351140

580, call

0.035720

-0.205257

0.191112

...

0.720421

0.001702

0.070248

590, call

0.028256

-0.161321

-0.078389

...

...

0.109251

0.073845

600, call

-0.202037

-0.190903

...

...

...

...

-0.075595

Table 5: RMSE’s: OEX Options, by Expiration Month and Trading Day

June 30

July 1

July 2

July 6

July 7

July 8

July 9

July

0.563594

0.729401

0.555327

0.640847

0.529694

1.097807

0.271871

August

1.316759

0.408102

0.490070

0.367468

0.686766

0.419591

0.311062

September

1.203947

0.849578

0.659790

0.878324

1.394570

1.029171

0.617068

October

0.442581

1.059348

0.551232

0.387529

1.425867

0.633056

0.563490

December

2.024635

2.129737

1.723453

1.578420

1.229747

0.984973

1.707936

23



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