Modelling and Simulation of Stochastic Volatility in Finance

  • en
  • Broché
  • 9781581123838
  • 15 janvier 2008
  • 220 pages
Toutes les spécifications de l'article

Résumé

The famous Black-Scholes model was the starting point of a new financial industry and has been a very important pillar of all options trading since. One of its core assumptions is that the volatility of the underlying asset is constant. It was realised early that one has to specify a dynamic on the volatility itself to get closer to market behaviour. There are mainly two aspects making this fact apparent. Considering historical evolution of volatility by analysing time series data one observes erratic behaviour over time. Secondly, backing out implied volatility from daily traded plain vanilla options, the volatility changes with strike. The most common realisations of this phenomenon are the implied volatility smile or skew. The natural question arises how to extend the Black-Scholes model appropriately. Within this book the concept of stochastic volatility is analysed and discussed with special regard to the numerical problems occurring either in calibrating the model to the market implied volatility surface or in the numerical simulation of the two-dimensional system of stochastic differential equations required to price non-vanilla financial derivatives. We introduce a new stochastic volatility model, the so-called Hyp-Hyp model, and use Watanabe's calculus to find an analytical approximation to the model implied volatility. Further, the class of affine diffusion models, such as Heston, is analysed in view of using the characteristic function and Fourier inversion techniques to value European derivatives.

Spécifications produit

Contenu

Langue
en
Binding
Broché
Date de sortie initiale
15 janvier 2008
Nombre de pages
220
Illustrations
Non

Personnes impliquées

Auteur principal
Christian Kahl
Editeur principal
Dissertation.Com

Autres spécifications

Hauteur de l'emballage
11 mm
Hauteur du produit
11 mm
Largeur d'emballage
184 mm
Largeur du produit
184 mm
Livre d‘étude
Oui
Longueur d'emballage
241 mm
Longueur du produit
241 mm
Poids de l'emballage
386 g
Police de caractères extra large
Non

EAN

EAN
9781581123838

Sécurité des produits

Opérateur économique responsable dans l’UE
Afficher les données
Pas encore d'avis
Choisissez la version souhaitée
Binding : Broché
Informations sur les prix et commande
Le prix de ce produit est de 28 euros et 99 cents.
2 - 3 semaines
Vendu par bol
  • Livraison comprise avec bol
  • Retrait possible dans un point-relais bol
  • 30 jours de réflexion et retour gratuit
  • Service client 24h/24

Souvent achetés ensemble

  • The Volatility Surface
    60,27
    Vendu par bol