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 Bernt Arne Ødegaard
Useful examples and algorithms for people working within the field of finance. Typical examples are option/derivatives pricing, term structure calculations, mean variance analysis. The author made C++ subroutines that implements common algorithms.
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 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.
by 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.