PDE for Finance, Spring 2014
Robert V. Kohn
Professor of Mathematics
Courant Institute, New York University
This course assumes a working familiarity with stochastic differential equations (e.g. Ito's lemma). Here are some notes that review this material, in pdf format This website will be built as the semester evolves. I previously taught this class in Spring 2011. The notes and homework from that semester are here.
Syllabus, in pdf format Some relevant books, in pdf format Section 1, in pdf format Homework 1, in pdf format Homework 2, in pdf format Section 2, in pdf format Section 3, in pdf format Homework 3, in pdf format Section 4, in pdf format Homework 4, in pdf format Section 5, in pdf format Section 6, in pdf format Homework 5, in pdf format Section 7, in pdf format Section 8, in pdf format Material covered 4/28/2014, in pdf format Homework 6, in pdf format Section 9, in pdf format The last lecture discussed my paper "Asset price bubbles from heterogeneous beliefs about mean reversion rates," X. Chen and R.V. Kohn, Finance and Stochastics 15, 2011, 221-241 and an erratum: Finance and Stochastics 17, 2012 225-226.