May 27th, 2009, 12:07 pm
I like programming (C++, Perl, ...) and I feel very much attracted to Finance (inspired by the Books of Hull, Elliott/Kopp). I study Mathematics and my focus is on Optimization (Semidefinite/Nonlinear) and Stochastics (Probability Theory/Stochastic Calculus).Now I have the opportunity/choice to either 1) Change University and get more hold on Stochastic Optimization (I have no experience with this, but in the book of Oksendal/Stochastic Differential Equations it appears promising), Financial Mathematics (in particular Levy Finance), Statistics (my statistics Knowledge is at the level of an introductory course)/Time Series Analysis2) Stay at my present University and dig deeper into my existing fields, foremost Stochastic Calculus. Personally I don't like the contents of the book of Karatzas/Shreve. I am just not that much interested in SDEs as it comes to the very own theory (weak solutions seem horrible). What is the way a Quant thinks about Stochastic (Partial) Differential Equations? Of course, in order to be rigorous it should ideally be quite well understood (maybe at the level of Karatza's book), but so far I just haven't come across math finance texts digging into the minute of solvability of SDEs. To put a particular question: Did you ever have to proof the strong markov property of a stochastic process (this is a pain) in the realm of your job as a Quant?Thanks in advance for your replies/recommendations!