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We consider the problem of valuation of American (call and put) options written on a dividend paying stock governed by the geometric Brownian motion. We show that the value function has two different ...
In this paper we investigate two variants of stable processes, namely tempered stable sub- ordinators and modified tempered stable process as well as their renormalization. We study the weak converg...
We consider a class of nonlinear stochastic differential equations, giving the power-law behavior of the power spectral density in any desirably wide range of frequency. Such equations were obtained s...
We consider stochastic model based on the linear stochastic differential equation with the linear relaxation and with the diffusion-like fluctuations of the relaxation rate. The model generates monofr...
In this paper we prove the existence and uniqueness of the solutions to the one-dimensional linear stochastic differential equation with Skorohod integral $$\ \ X_t(\omega )=\eta (\omega )+ \int^t_0 a...

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