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We study the nonparametric estimators of the infinitesimal coefficients of the second-order jump-diffusion models. Under the mild conditions, we obtain the weak consistency and the asymptotic normalit...
We investigate the extension of the multilevel Monte Carlo path simulation method to jump-diffusion SDEs. We consider models with finite rate activity , using a jump-adapted discretisation in which ...
We discuss utility based pricing and hedging of jump di usion pro- cesses with emphasis on the practical applicability of the framework. We point out two diculties that seem to limit this applicabi...
Abstract: We introduce closed-form transition density expansions for multivariate affine jump-diffusion processes. The expansions rely on a general approximation theory which we develop in weighted Hi...
In this article we extend earlier work on the jump-diffusion risk-sensitive asset management problem [SIAM J. Fin. Math. (2011) 22-54] by allowing jumps in both the factor process and the asset prices...
We consider uncorrelated Stein-Stein, Heston, and Hull-White models and their perturbations by compound Poisson processes with jump amplitudes distributed according to a double exponential law. Simila...
In this paper we discuss the basket options valuation for a jump-diffusion model. The underlying asset prices follow some correlated local volatility diffusion processes with systematic jumps. We deri...
In mathematical finance a popular approach for pricing options under some Levy model is to consider underlying that follows a Poisson jump diffusion process. As it is well known this results in a par...
Mandatory emission trading schemes are being established around the world. Participants of such market schemes are always exposed to risks. This leads to the creation of an accompanying market for emi...
In this article we extend earlier work on the jump-diffusion risk-sensitive asset management problem by allowing for jumps in both the factor process and the asset prices as well as stochastic volatil...
Some problems of first-crossing times over two time- -dependent boundaries lor one-dimensional jump-difiusion processes are considered. The moments of the first-crossing times over each boundary ar...
Let Z(t,z) be a Rd-valued controlled jump diffusion starting from the point z at time t. The aim of this paper is to characterize the set V(t) of initial conditions z such that Z(t,z) can be driven in...
This paper considers a portfolio optimization problem in which asset prices arer epresented by SDEs driven by Brownian motion and a Poisson random measure, with drifts that are functions of an auxilia...
Path integral techniques for the pricing of financial options are mostly based on models that can be recast in terms of a Fokker-Planck differential equation and that, consequently, neglect jumps and...

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