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Option Prices as Probabilities - A New Look at Generalized Black-Scholes Formulae (Paperback, Edition.) Loot Price: R1,597
Discovery Miles 15 970
Option Prices as Probabilities - A New Look at Generalized Black-Scholes Formulae (Paperback, Edition.): Christophe Profeta,...

Option Prices as Probabilities - A New Look at Generalized Black-Scholes Formulae (Paperback, Edition.)

Christophe Profeta, Bernard Roynette, Marc Yor

Series: Springer Finance

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Loot Price R1,597 Discovery Miles 15 970 | Repayment Terms: R150 pm x 12*

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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 every K? 0: + ? (t) :=E (K?E ) (0.1) K t and + C (t) :=E (E?K) (0.2) K t denote respectively the price of a European put, resp. of a European call, associated with this martingale. Let N be the cumulative distribution function of a reduced Gaussian variable: x 2 y 1 ? 2 ? N (x) := e dy. (0.3) 2? ?? The celebrated Black-Scholes formula gives an explicit expression of? (t) and K C (t) in terms ofN : K ? ? log(K) t log(K) t ? (t)= KN ? + ?N ? ? (0.4) K t 2 t 2 and ? ?

General

Imprint: Springer-Verlag
Country of origin: Germany
Series: Springer Finance
Release date: February 2010
First published: 2010
Authors: Christophe Profeta • Bernard Roynette • Marc Yor
Dimensions: 235 x 155 x 15mm (L x W x T)
Format: Paperback
Pages: 270
Edition: Edition.
ISBN-13: 978-3-642-10394-0
Categories: Books > Business & Economics > Finance & accounting > General
Books > Science & Mathematics > Mathematics > Probability & statistics
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LSN: 3-642-10394-4
Barcode: 9783642103940

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