@inbook{38e50f3df2e649c39121a5dde2632e14,
title = "Real Valued Affine Diffusions",
abstract = "This chapter gives a first contact with general affine diffusions by presenting the ones that take real values. We will see that these diffusions are basically of two types, and are either a Ornstein-Uhlenbeck process or a Cox-Ingersoll-Ross process. Thus, the two first sections of this chapter study these processes and present their main properties. The third section defines what are affine diffusions and characterize them by the mean of the infinitesimal generator. The last section is devoted to the application of these processes for the interest rate modelling. A quick introduction is given on the financial framework, and we present the main pricing formulas that have made the use of these processes popular.",
author = "Aur{\'e}lien Alfonsi",
note = "Publisher Copyright: {\textcopyright} 2015 Springer International Publishing Switzerland.",
year = "2015",
month = jan,
day = "1",
doi = "10.1007/978-3-319-05221-2\_1",
language = "English",
series = "Bocconi and Springer Series",
publisher = "Springer International Publishing",
pages = "1--36",
booktitle = "Bocconi and Springer Series",
}