We consider a single product, periodic review inventory model with variable cqacity, random yield, and uncertain demand in a random environment. All model parameters and distributions depend on environmental fluctuations. It is assuumed that the environmental process follows a discrete-time...

This paper surveys the literatures on numerical methods from its origins to present to evaluate American-style claims. An extensive review of numerical meth- ods is provided. In particular, emphases is placed on recent trends and developments in the multi-grid and Galerkin method with the...

In Finance, the modeling of a correlation matrix is one of the important problems. In particular, the correlation matrix obtained from market data has the noise. Here we apply the de-noising processing based on the wavelet analysis to the noisy correlation matrix, which is generated by a...

We study a Linear-Quadratic Regulation (LQR) problem with Lévy processes and establish the closeness property of the solution of the multi-dimensional Backward Stochastic Riccati Differential Equation (BSRDE) with Lévy processes. In particular, we consider multi-dimensional and one-dimensional...