Il Prof. Luciano Campi[ London School of Economics ] sarà ospite del Dipartimento di Informatica dell’Università di Verona [ Strada le Grazie, 15 - Vr ] nei giorni dal 26 al 30 Maggio 2014 e terrà un mini corso dal titolo

” *A primer on stochastic control and portfolio optimization* “

*Abstract*: We will give a short introduction to stochastic control in continuous time with some applications to optimal investment problems. In particular, after giving some examples of control problem which are relevant in finance and insurance, we will turn to the dynamic programming principle (DPP), which is the main tool to obtain the Hamilton-Jacobi-Bellman (HJB) partial differential equation describing the local behaviour of the value function. Under some regularity conditions, solving this HJB pde gives a method to find (at least theoretically) the optimal solution. We will apply this approach to solve some problems of optimal investment, e.g. the classic Merton problem of optimal investment and consumption.

articolato in tre lezioni che si terranno presso il Dipartimento stesso nei giorni di

- Lunedì 26 Maggio [ Aula D, 14:30-16:30 ] - Martedì 27 [ Aula F, 14:30-16:30 ] - Mercoledì 28 Maggio [ Aula D , 14:30-16:30 ]

Per informazioni contattare: luca.dipersio@univr.it __ Luca Di Persio - PhD assistant professor of Probability and Mathematical Finance

Dept. Informatics University of Verona strada le Grazie 15 - 37134 Verona - Italy Tel : +39 045 802 7968

Dept. Math University of Trento V. Sommarive, 14 - 38123 Povo - Italy Tel : +39 0461 281686