Option Prices as Probabilities A New Look at Generalized Black-Scholes Formulae

The Black-Scholes formula plays a central role in Mathematical Finance; it gives the right price at which buyer and seller can agree with, in the geometric Brownian framework, when strike K and maturity T are given. This yields an explicit well-known formula, obtained by Black and Scholes in 1973. T...

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Bibliographic Details
Main Authors: Profeta, Christophe, Roynette, Bernard (Author), Yor, Marc (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2010, 2010
Edition:1st ed. 2010
Series:Springer Finance Lecture Notes
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Reading the Black-Scholes Formula in Terms of First and Last Passage Times
  • Generalized Black-Scholes Formulae for Martingales, in Terms of Last Passage Times
  • Representation of some particular Azéma supermartingales
  • An Interesting Family of Black-Scholes Perpetuities
  • Study of Last Passage Times up to a Finite Horizon
  • Put Option as Joint Distribution Function in Strike and Maturity
  • Existence and Properties of Pseudo-Inverses for Bessel and Related Processes
  • Existence of Pseudo-Inverses for Diffusions