Calibration Design of Implied Volatility Surfaces
نویسندگان
چکیده
منابع مشابه
Dynamics of implied volatility surfaces
The prices of index options at a given date are usually represented via the corresponding implied volatility surface, presenting skew/smile features and term structure which several models have attempted to reproduce. However, the implied volatility surface also changes dynamically over time in a way that is not taken into account by current modelling approaches, giving rise to ‘Vega’ risk in o...
متن کاملStochastic Models of Implied Volatility Surfaces
We propose a market-based approach to the modelling of implied volatility, in which the implied volatility surface is directly used as the state variable to describe the joint evolution of market prices of options and their underlying asset. We model the evolution of an implied volatility surface by representing it as a randomly fluctuating surface driven by a finite number of orthogonal random...
متن کاملRobust Numerical Calibration for Implied Volatility Expansion Models
Implied volatility expansions allow calibration of sophisticated volatility models. They provide an accurate fit and parametrization of implied volatility surfaces that is consistent with empirical observations. Fine-grained higher order expansions offer a better fit but pose the challenge of finding a robust, stable and computationally tractable calibration procedure due to a large number of m...
متن کاملSimulation of Implied Volatility Surfaces via Tangent Lévy Models
In this paper, we implement and test a market-based model for European-type options, based on the tangent Lévy models proposed in [4] and [3]. As a result, we obtain a method for generating Monte Carlo samples of future paths of implied volatility surfaces. These paths and the surfaces themselves are free of arbitrage, and are constructed in a way that is consistent with the past and present va...
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ژورنال
عنوان ژورنال: SSRN Electronic Journal
سال: 2006
ISSN: 1556-5068
DOI: 10.2139/ssrn.2894429