Preliminaries -- to Itô-Calculus -- The Girsanov Transformation -- Application to Financial Economics -- Term Structure Models -- Why Do We Need Itô-Calculus in Finance? -- Appendix: Itô Calculus Without Probabilities
Summary
Useful for mathematicians interested in the methods of modern mathematical finance without prior knowledge of advanced stochastic analysis, this book contains lecture notes which start with an elementary approach to stochastic calculus due to Follmer, who showed that one can develop Ito's calculus "pathwise" as an exercise in real analysis
