AMERICAN OPTION PRICING IN A JUMP-DIFFUSION MODEL

AMERICAN OPTION PRICING IN A JUMP-DIFFUSION MODEL

ÉVALUATION D''OPTION AMÉRICAINE DANS UN MODÈLE DE DIFFUSION AVEC SAUTS

LAP Lambert Academic Publishing ( 2010-09-27 )

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Many alternative models have been developed lately to generalize the Black-Scholes option pricing model in order to incorporate more empirical features. Brownian motion and normal distribution have been used in this Black-Scholes option-pricing framework to model the return of assets. However, two main points emerge from empirical investigations: (i) the leptokurtic feature that describes the return distribution of assets as having a higher peak and two asymmetric heavier tails than those of the normal distribution, and (ii) an empirical phenomenon called "volatility smile" in option markets. Among the recent models that addressed the aforementioned issues is that of Kou (2002), which allows the price of the underlying asset to move according to both Brownian increments and double-exponential jumps. The aim of this thesis is to develop an analytic pricing expression for American options in this model that enables us to e±ciently determine both the price and related hedging parameters.

Book Details:

ISBN-13:

978-3-8433-5693-0

ISBN-10:

3843356939

EAN:

9783843356930

Book language:

English

By (author) :

Jeremy Berros

Number of pages:

60

Published on:

2010-09-27

Category:

Economics