(Download free pdf) Option Prices as Probabilities: A New Look at Generalized Black-Scholes Formulae (Springer Finance)
• Christophe Profeta, Bernard Roynette, Marc Yor •
| 2010-01-26 | 2010-01-26 | File Name: B00FC928OA
||From the Back Cover||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
Discovered in the seventies, Black-Scholes formula continues to play a central role in Mathematical Finance. We recall this formula. Let (B ,t? 0; F ,t? 0, P) - t t note a standard Brownian motion with B = 0, (F ,t? 0) being its natural ?ltra- 0 t t tion. Let E := exp B? ,t? 0 denote the exponential martingale associated t t 2 to (B ,t? 0). This martingale, also called geometric Brownian motion, is a model t to describe the evolution of prices of a risky asset. Let, for...
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