Salah Mohammed
3 Papers
5 Citations
Salah Mohammed is an academic researcher. The author has contributed to research in topics: Girsanov theorem & Arbitrage. The author has an hindex of 1, co-authored 3 publications.
Chat about Author
Papers
An Option Pricing Model with Memory
Flavia Sancier,Salah Mohammed +1 more
TL;DR: In this paper, the authors obtain option pricing formulas for stock price models in which the drift and volatility terms are functionals of a continuous history of the stock prices, where the stock dynamics follow a nonlinear stochastic functional differential equation.
6
•Posted Content
An Option Pricing Model with Memory
Flavia Sancier,Salah Mohammed +1 more
TL;DR: In this paper, the authors obtain option pricing formulas for stock price models in which the drift and volatility terms are functionals of a continuous history of the stock prices, where the stock dynamics follow a nonlinear stochastic functional differential equation.
•Posted Content
On the Solution of Stochastic Functional Differential Equations via Memory Gap
Flavia Sancier,Salah Mohammed +1 more
TL;DR: An alternative proof for the existence of solutions of stochastic functional differential equations satisfying a global Lipschitz condition is presented, based on an approximation scheme in which the continuous path dependence does not go up to the present: there is a memory gap.