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The analysis of implied volatilities
Fengler, Matthias R.; Härdle, Wolfgang; Schmidt, Peter - 2001
The analysis of volatility in financial markets has become a first rank issue in modern financial theory and practice … of volatility. Much research has been done on the analysis of realized historic volatilities, Roll (1977) and references … solved for the constant volatility parameter a using observed option prices. This is a more natural approach as the option …
Persistent link: https://www.econbiz.de/10009615424
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Fitting the smile revisited : a least squares kernel estimator for the implied volatility surface
Fengler, Matthias R. (contributor); Wang, Qihua (contributor) - 2003 - [Elektronische Ressource]
Persistent link: https://www.econbiz.de/10001919426
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Risk premia and financial modelling without measure transformation
Platen, Eckhard - 2000
This paper describes a financial market modelling framework that exploits the notion of a deflator . The denominations of the deflator measured in units of primary assets form a minimal set of basic financial quantities that completely specify the overall market dynamics, where deflated asset...
Persistent link: https://www.econbiz.de/10009612031
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Option pricing under linear autoregressive dynamics, heteroskedasticity, and conditional leptokurtosis
Hafner, Christian M.; Herwartz, Helmut - 1999
prices caused by stochastic volatility. -- option pricing ; autoregression ; heteroskedasticity ; GARCH ; leverage effect …
Persistent link: https://www.econbiz.de/10009580460
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A minimal financial market model
Platen, Eckhard - 2000
The paper proposes a financial market model that generates stochastic volatility and stochastic interest rate using a … stochastic volatility with leptokurtic log-return distributions that c1osely match those observed in reality. The resulting index … of the market is negatively correlated with its volatility which models the well-known leverage effect. The average …
Persistent link: https://www.econbiz.de/10009612032
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A benchmark model for financial markets
Platen, Eckhard - 2001
This paper introduces a benchmark model for financial markets, which is based on the unique characterization of a benchmark portfolio that is chosen to be the growth optimal portfolio. The general structure of risk premia for asset prices and portfolios is derived. Furthermore, the short rate is...
Persistent link: https://www.econbiz.de/10009614289
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Efficient hedging for a complete jump-diffusion model
Kirch, Michael; Krutchenko, R. N.; Melʹnikov, Aleksandr V. - 2002
This paper is devoted to the problem of hedging contingent claims in the framework of a complete two-factor jump-diffusion model. In this context, it is well understood that every contingent claim can be hedged perfectly if one invests the unique arbitrage-free price. Based on the results of H....
Persistent link: https://www.econbiz.de/10009621417
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Probabilistic aspects of financial risk
Föllmer, Hans - 2000
Problems arising in Finance have become a significant source of new developments in Stochastic Analysis. We discuss some recent case studies, in particular some decomposition and representation theorems which are motivated by problems of hedging derivatives and of intertemporal consumption choice.
Persistent link: https://www.econbiz.de/10009612020
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American options, multi-armed bandits and optimal consumption plans : a unifying view
Bank, Peter (contributor); Föllmer, Hans (contributor) - 2003 - [Elektronische Ressource], rev
Persistent link: https://www.econbiz.de/10001917057
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Discrete time option pricing with flexible volatility estimation
Härdle, Wolfgang; Hafner, Christian M. - 1997
By extending the GARCH option pricing model of Duan (1995) to more flexible volatility estimation it is shown that the … prices of out-of-the-money options strongly depend on volatility features such as asymmetry. Results are provided for the …
Persistent link: https://www.econbiz.de/10009659059