Financial Mathematics (2009-2010)

Academic Year of the Course: 
2009-2010
Course: 
045EC
Financial Mathematics
Teaching staff: 
Gianni Bosi
Course Outlines: 
This is an introductory undergraduate course whose aim is to provide the students with the basic elements of classical financial mathematics. Some notions concerning more advanced topics such as duration matching strategies and immunization theory will also be presented. Essentials of linear algebra and multivariable optimization will be introduced as important tools.
Contents: 
Essentials of linear algebra. Multivariable optimization and constrained optimization in the general case of n variables. The basic deterministic model. Interest and discount. Simple interest. Discount functions. Compound interest. Force of interest. The constant interest case. Axiomatic derivation of the law of compound interest. Annuities and perpetuities. Introduction to obligations. Basic concepts related to loans/mortgages. Choice among investments: net present value and internal rate of return. Duration matching strategies and immunization.
Recommended Texts: 
The material will be available during the lessons.
Last update: 12-11-2013 - 16:28