Discretizing a backward stochastic differential equation

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Discretizing a Backward Stochastic Differential Equation

where (Yt,Zt) are unknown predictable processes. We will assume that f is a Lipschitz function with respect to its arguments throughout this paper. Since this equation has its important applications into control theory and mathematical finance, many mathematicians are not satisfied merely by descriptive existence theorems. They are also interested in constructing the numerical solutions. In ord...

متن کامل

Reflected Backward Stochastic Differential Equation with Jumps and Rcll Obstacle

In this paper we study one-dimensional reflected backward stochastic differential equation when the noise is driven by a Brownian motion and an independent Poisson point process when the solution is forced to stay above a right continuous left-hand limited obstacle. We prove existence and uniqueness of the solution by using a penalization method combined with a monotonic limit theorem.

متن کامل

Backward Stochastic Differential Equation, Nonlinear Expectation and Their Applications

We give a survey of the developments in the theory of Backward Stochastic Differential Equations during the last 20 years, including the solutions’ existence and uniqueness, comparison theorem, nonlinear Feynman-Kac formula, g-expectation and many other important results in BSDE theory and their applications to dynamic pricing and hedging in an incomplete financial market. We also present our n...

متن کامل

Backward Stochastic Differential Equation on Hedging American Contingent Claims

We consider a general wealth process with a drift coefficient which is a function of the wealth process and the portfolio process with convex constraint. Existence and uniqueness of a minimal solution are established. We convert the problem of hedging American contingent claims into the problem of minimal solution of backward stochastic differential equation, and obtain the upper hedging price ...

متن کامل

Backward-stochastic-differential-equation approach to modeling of gene expression.

In this article, we introduce a backward method to model stochastic gene expression and protein-level dynamics. The protein amount is regarded as a diffusion process and is described by a backward stochastic differential equation (BSDE). Unlike many other SDE techniques proposed in the literature, the BSDE method is backward in time; that is, instead of initial conditions it requires the specif...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences

سال: 2002

ISSN: 0161-1712,1687-0425

DOI: 10.1155/s0161171202110234