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- W2316506752 abstract "Lévy processes have been widely used to model financial assets such as stock prices, exchange rates, interest rates, and commodities. However, when applied to derivative pricing, very few analytical results are available except for European options. Therefore, one usually has to resort to numerical methods such as Monte Carlo simulation method. The simulation method is attractive in that it is very general and can also handle high dimensional problems very well. In this survey paper, we provide an overview on various simulation methods for Lévy processes. In addition, we introduce two simulation based sensitivity estimation methods: perturbation analysis and the likelihood ratio method. Sensitivity estimation is useful in various applications, such as derivative pricing and parameter estimation. Finally, we provide a simple illustrative example of applying simulation and sensitivity estimation to parameter estimation of Lévy-driven stochastic volatility model." @default.
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- W2316506752 date "2012-01-01" @default.
- W2316506752 modified "2023-10-14" @default.
- W2316506752 title "Simulation of Lévy-Driven models and its application in finance" @default.
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- W2316506752 doi "https://doi.org/10.3934/naco.2012.2.749" @default.
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