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- W1986296987 abstract "AbstractThe dependence structure is crucial when modelling several assets simultaneously. We show for a real-data example that the correlation structure between assets is not constant over time but rather changes stochastically, and we propose a multidimensional asset model which fits the patterns found in the empirical data. The model is applied to price multi-asset derivatives by means of perturbation theory. It turns out that the leading term of the approximation corresponds to the Black–Scholes derivative price with correction terms adjusting for stochastic volatility and stochastic correlation effects. The practicability of the presented method is illustrated by some numerical implementations. Furthermore, we propose a calibration methodology for the considered model." @default.
- W1986296987 created "2016-06-24" @default.
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- W1986296987 date "2014-04-14" @default.
- W1986296987 modified "2023-09-27" @default.
- W1986296987 title "Stochastic Correlation and Volatility Mean-reversion– Empirical Motivation and Derivatives Pricing via Perturbation Theory" @default.
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- W1986296987 doi "https://doi.org/10.1080/1350486x.2014.906972" @default.
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