Mathematical Models in Portfolio Analysis
by Farida Kachapova
Publisher: Bookboon 2013
Number of pages: 110
This book explains portfolio modelling in financial mathematics as a consistent mathematical theory with all steps justified. The topics include mean-variance portfolio analysis and capital market theory. The book contains many examples with solutions. Linear algebra rather than calculus is used as foundation for portfolio analysis; this approach is more conceptual and helps to avoid tedious calculations.
Home page url
Download or read it online for free here:
by Patrick Roger - Bookboon
These volumes present the elements of analysis and linear algebra used in financial models and in microeconomics. Functions and matrices are developed in part I and vector spaces, linear mappings and optimization methods are developed in part II.
by Zura Kakushadze - arXiv
These are the lecture notes for an advanced Ph.D. level course, primarily focused on an introduction to stochastic calculus and derivative pricing with various stochastic computations recast in the language of path integral, which is used in physics.
by Robert Alan Hill - BookBoon
The book evaluates Modern Portfolio Theory for future study. We learn why anybody with the software and a reasonable financial education can model portfolios. We learn why investors and not their computers should always interpret their results.
by Patrick Roger - BookBoon
Topics: Discrete-time stochastic processes (Markov chains , Martingales); Continuous-time stochastic processes (General framework, Brownian motion); Stochastic integral and Ito's lemma (Girsanov theorem, Stochastic differential equations).