Partial Differential Equations for Finance
by Robert V. Kohn
Publisher: New York University 2003
Number of pages: 121
An introduction to those aspects of partial differential equations and optimal control most relevant to finance. PDE’s naturally associated to diffusion processes: the forward and backward Kolmogorov equations and their applications. Linear parabolic equations: fundamental solution, boundary value problems, maximum principle, transform methods. Dynamic programming and optimal control: Hamilton-Jacobi-Bellman equation, verification arguments, optimal stopping. Applications to finance will be distributed throughout the course.
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by Patrick Roger - BookBoon
The book is intended to be a technical support for students in finance. Topics: Probability spaces and random variables; Moments of a random variable; Usual probability distributions in financial models; Conditional expectations and Limit theorems.
by N. Adriana Knouf - University of Minnesota Press
Knouf shows how noise affects the ways in which financial markets function. The book draws on different forms of noise, paying attention to how materiality and the interference of humans causes the meanings of noise to shift over space and time.
by M. Khoshnevisan, at al. - American Research Press
The purpose of this book is to postulate some theories and test them numerically. It is designed for graduates and researchers who are active in the area of estimation and data sampling applied in financial survey modeling and applied statistics.
by Henk van Elst - arXiv
These lecture notes provide a self-contained introduction to the mathematical methods required in a Bachelor degree programme in Business, Economics, or Management. A special focus is set on applications in quantitative economical modelling.