We consider the optimal trade execution strategies for a large portfolio of single stocks proposed by Almgren (2003). This framework accounts for a nonlinear impact of trades on average market prices. The execution strategy of Almgren (2003) is based on the assumption that no shares per unit of...

Euclidean space -- Sequences and series of functions -- Multidimensional differential calculus -- Ordinary differential equations of first order : methods for explicit solutions -- Linear differential equations of second order -- Prologue to measure theory -- Lebesgue integral -- Radon-Nikodym...