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



More intriguing information

1. Errors in recorded security prices and the turn-of-the year effect
2. Computing optimal sampling designs for two-stage studies
3. Beyond Networks? A brief response to ‘Which networks matter in education governance?’
4. Washington Irving and the Knickerbocker Group
5. Strategic Planning on the Local Level As a Factor of Rural Development in the Republic of Serbia
6. The name is absent
7. The name is absent
8. The name is absent
9. Are combination forecasts of S&P 500 volatility statistically superior?
10. Økonomisk teorihistorie - Overflødig information eller brugbar ballast?
11. Strategic monetary policy in a monetary union with non-atomistic wage setters
12. Are class size differences related to pupils’ educational progress and classroom processes? Findings from the Institute of Education Class Size Study of children aged 5-7 Years
13. Business Cycle Dynamics of a New Keynesian Overlapping Generations Model with Progressive Income Taxation
14. The name is absent
15. Willingness-to-Pay for Energy Conservation and Free-Ridership on Subsidization – Evidence from Germany
16. A Dynamic Model of Conflict and Cooperation
17. The name is absent
18. Public Debt Management in Brazil
19. Human Resource Management Practices and Wage Dispersion in U.S. Establishments
20. EMU's Decentralized System of Fiscal Policy