An option pricing formula for the GARCH diffusion model
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Publication:957204
DOI10.1016/j.csda.2004.05.014zbMath1429.91313OpenAlexW3125902053MaRDI QIDQ957204
Claudia Ravanelli, Giovanni Barone-Adesi, Henrik Koblitz Rasmussen
Publication date: 26 November 2008
Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.csda.2004.05.014
Applications of statistics to actuarial sciences and financial mathematics (62P05) Numerical methods (including Monte Carlo methods) (91G60) Markov processes: estimation; hidden Markov models (62M05) Monte Carlo methods (65C05) Derivative securities (option pricing, hedging, etc.) (91G20)
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Cites Work
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- The Pricing of Options and Corporate Liabilities
- Estimation of objective and risk-neutral distributions based on moments of integrated volatility
- A survey of numerical methods for stochastic differential equations
- Monte Carlo methods for security pricing
- The dynamics of stochastic volatility: evidence from underlying and options markets
- Estimating stochastic volatility diffusion using conditional moments of integrated volatility
- ARCH models as diffusion approximations
- STOCHASTIC VOLATILITY
- Modelling the persistence of conditional variances
- OPTION HEDGING AND IMPLIED VOLATILITIES IN A STOCHASTIC VOLATILITY MODEL
- MODELING STOCHASTIC VOLATILITY: A REVIEW AND COMPARATIVE STUDY
- Empirical properties of asset returns: stylized facts and statistical issues
- A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options
- Stochastic volatility models as hidden Markov models and statistical applications