Minoo Bakhshmohammadlou
Department of Mathematics, Iran University of Science and Technology, Tehran, Iran
[ 1 ] - Numerical Solution of Multidimensional Exponential Levy Equation by Block Pulse Function
The multidimensional exponential Levy equations are used to describe many stochastic phenomena such as market fluctuations. Unfortunately in practice an exact solution does not exist for these equations. This motivates us to propose a numerical solution for n-dimensional exponential Levy equations by block pulse functions. We compute the jump integral of each block pulse function and present a ...
[ 2 ] - Hedging of Options in Jump-Diffusion Markets with Correlated Assets
We consider the hedging problem in a jump-diffusion market with correlated assets. For this purpose, we employ the locally risk-minimizing approach and obtain the hedging portfolio as a solution of a multidimensional system of linear equations. This system shows that in a continuous market, independence and correlation assumptions of assets lead to the same locally risk-minimizing portfolio. ...
نویسندگان همکار