Option pricing with stochastic volatility

Thesis title: Oceňovanie opcií so stochastickou volatilitou
Author: Bartoň, Ľuboš
Thesis type: Diploma thesis
Supervisor: Málek, Jiří
Opponents: Witzany, Jiří
Thesis language: Slovensky
Abstract:
Táto diplomová práca sa venuje problematike oceňovania opcií so stochastickou volatilitou. Najskôr je odvodený Black-Scholes model a potom sú diskutované jeho nedostatky. Krátko vysvetlujeme tiež pojem volatilita. Ďalej uvádzame tri oceňovacie modely so stochastickou volatilitou- Hull-White model, Heston model a Stein-Stein model. Na konci sú modely zhodnotené.
Keywords: Black-Scholes model; Stochastická volatilita; Oceňovanie opcií
Thesis title: Oceňování opcí se stochastickou volatilitou
Author: Bartoň, Ľuboš
Thesis type: Diplomová práce
Supervisor: Málek, Jiří
Opponents: Witzany, Jiří
Thesis language: Slovensky
Abstract:
Tato diplomová práce se věnuje problematice oceňování opcí se stochastickou volatilitou. Nejdříve je odvozen Black-Scholes model a pak jsou diskutovány jeho nedostatky. Krátce vysvětlujeme taky pojem volatilita. Dále uvádíme tři oceňovací modely se stochastickou volatilitou- Hull-White model, Heston model a Stein-Stein model. Na konci jsou modely zhodnoceny.
Keywords: Stochastická volatilita; Black-Scholes model; Oceňování opcí
Thesis title: Option pricing with stochastic volatility
Author: Bartoň, Ľuboš
Thesis type: Diploma thesis
Supervisor: Málek, Jiří
Opponents: Witzany, Jiří
Thesis language: Slovensky
Abstract:
This diploma thesis deals with problem of option pricing with stochastic volatility. At first, the Black-Scholes model is derived and then its biases are discussed. We explain shortly the concept of volatility. Further, we introduce three pricing models with stochastic volatility- Hull-White model, Heston model and Stein-Stein model. At the end, these models are reviewed.
Keywords: Black-Scholes model; Option pricing; Stochastic volatility

Information about study

Study programme: Finance a účetnictví/Bankovnictví a pojišťovnictví
Type of study programme: Magisterský studijní program
Assigned degree: Ing.
Institutions assigning academic degree: Vysoká škola ekonomická v Praze
Faculty: Faculty of Finance and Accounting
Department: Department of Banking and Insurance

Information on submission and defense

Date of assignment: 2. 8. 2010
Date of submission: 10. 9. 2010
Date of defense: 3. 2. 2011
Identifier in the InSIS system: https://insis.vse.cz/zp/27195/podrobnosti

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