The impact of Kiyoshi Itô´s stochastic calculus of financial economics

We discuss the direct or indirect incorporation into financial economics of Kiyoshi Itô´s work on stochastic calculus, particularly the Itô formula, the relevance of his findings for option pricing theory and the way his work has been used to find a unique option pricing function in a competitive an...

Full description

Autores:
Ruge-Leiva, Diego Iván
Tipo de recurso:
Article of journal
Fecha de publicación:
2016
Institución:
Universidad Externado de Colombia
Repositorio:
Biblioteca Digital Universidad Externado de Colombia
Idioma:
spa
OAI Identifier:
oai:bdigital.uexternado.edu.co:001/7576
Acceso en línea:
https://bdigital.uexternado.edu.co/handle/001/7576
https://doi.org/10.18601/17941113.n10.07
Palabra clave:
Stochastic Dynamic Equations
Contingent Claim
Pure Securities
Econophysics
Rights
openAccess
License
http://purl.org/coar/access_right/c_abf2
Description
Summary:We discuss the direct or indirect incorporation into financial economics of Kiyoshi Itô´s work on stochastic calculus, particularly the Itô formula, the relevance of his findings for option pricing theory and the way his work has been used to find a unique option pricing function in a competitive and non-arbitrage market. On that basis, we discuss how the option pricing theory may be linked with the general equilibrium theory and other aspects of conventional economics, and finally, Itô’s role in econophysics.