Partial Differential Equations for Finance
by Robert V. Kohn
Publisher: New York University 2003
Number of pages: 121
Description:
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.
Download or read it online for free here:
Download link
(multiple PDF/PS files)
Similar books
Derivative Markets: An Introductionby AP Faure - Bookboon
Forwards, futures, swaps, options, hybrids and a category 'other' (credit derivatives, weather derivatives, etc.) make up the derivative markets. The word is drawn from 'derive' and means that the derivative instrument cannot exist on its own.
(7710 views)
Analysis and Linear Algebra for Financeby 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.
(10553 views)
Behavioural Financeby Peter Dybdahl Hede - BookBoon
Behavioural finance, with its emphasis on the numerous biases and heuristics, puts a human face on the financial markets, recognizing that market participants are subject to biases that have predictable effects on prices.
(10533 views)
An Introduction to Business Mathematicsby 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.
(8558 views)