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Exponential Levy models with stochastic volatility and stochastic jump-intensity
spectral theory normal operator Levy process stochastic volatility stochastic jump-intensity
2012/6/4
We consider the problem of valuing a European option written on an asset whose dynamics are described by an exponential L\'evy-type model. Both the volatility and jump-intensity of the L\'evy process ...
Price Jump Prediction in Limit Order Book
Price Jump Prediction Limit Order Book Trading and Market Microstructure
2012/4/28
A limit order book provides information on available limit order prices and their volumes. Based on these quantities, we give an empirical result on the relationship between the bid-ask liquidity bala...
On the Penalisation Error for American Options in a Jump Model
American Option Jump-Di usion Model Penalty Method
2010/10/21
We consider the pricing of American options in a model where the underlying asset is assumed to follow a jump diffusion process. The option value can be expressed as the solution to a variational ineq...
Pricing Path-Dependent Options with Jump Risk via Laplace Transforms
jump diffusion American options barrier and lookback options
2010/12/7
We present analytical solutions for two-dimensional Laplace transforms of barrier option prices, as well as an approximation based on Laplace transforms for the prices of finite-time horizon American ...