It is a well known fact that the Black-Scholes equation admits an alternative representation as a Schrödinger equation expressed in terms of a non-self-adjoint Hamiltonian. We show how pseudo-bosons, linear or not, naturally arise in this context, and how they can be used in the computation of the pricing kernel.

Bagarello, F. (2016). Appearances of pseudo-bosons from Black-Scholes equation. JOURNAL OF MATHEMATICAL PHYSICS, 57, 1-12 [10.1063/1.4944583].

Appearances of pseudo-bosons from Black-Scholes equation

BAGARELLO, Fabio
2016-01-01

Abstract

It is a well known fact that the Black-Scholes equation admits an alternative representation as a Schrödinger equation expressed in terms of a non-self-adjoint Hamiltonian. We show how pseudo-bosons, linear or not, naturally arise in this context, and how they can be used in the computation of the pricing kernel.
2016
Bagarello, F. (2016). Appearances of pseudo-bosons from Black-Scholes equation. JOURNAL OF MATHEMATICAL PHYSICS, 57, 1-12 [10.1063/1.4944583].
File in questo prodotto:
File Dimensione Formato  
2016JMP.pdf

Solo gestori archvio

Dimensione 658.86 kB
Formato Adobe PDF
658.86 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/194953
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 7
  • ???jsp.display-item.citation.isi??? 7
social impact