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Título de Acceso Abierto

Innovations in Derivatives Markets

Kathrin Glau ; Zorana Grbac ; Matthias Scherer ; Rudi Zagst (eds.)

Resumen/Descripción – provisto por la editorial

No disponible.

Palabras clave – provistas por la editorial

Quantitative Finance; Banking; Statistics for Business/Economics/Mathematical Finance/Insurance; Mathematical Modeling and Industrial Mathematics; Probability Theory and Stochastic Processes; Financial Engineering

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No requiere 2016 SpringerLink acceso abierto

Información

Tipo de recurso:

libros

ISBN impreso

978-3-319-33445-5

ISBN electrónico

978-3-319-33446-2

Editor responsable

Springer Nature

País de edición

Reino Unido

Fecha de publicación

Información sobre derechos de publicación

© The Editor(s) (if applicable) and The Author(s) 2016

Tabla de contenidos

The Dynamic Correlation Model and Its Application to the Heston Model

L. Teng; M. Ehrhardt; M. Günther

Correlation plays an essential role in many problems of finance and economics, such as pricing financial products and hedging strategies, since it models the degree of relationship between, e.g., financial products and financial institutions. However, usually for simplicity the correlation coefficient is assumed to be a constant in many models, although financial quantities are correlated in a strongly nonlinear way in the real market. This work provides a new time-dependent correlation function, which can be easily used to construct dynamically (time-dependent) correlated Brownian motions and flexibly incorporated in many financial models. The aim of using our time-dependent correlation function is to reasonably choose additional parameters to increase the fitting quality on the one hand, but also add an economic concept on the other hand. As examples, we illustrate the applications of dynamic correlation in the Heston model. From our numerical results we conclude that the Heston model extended by incorporating time-dependent correlations can provide a better volatility smile than the pure Heston model.

Part III - Financial Engineering | Pp. 437-449