Fiorani, Filo (2004): Option Pricing Under the Variance Gamma Process.
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In this dissertation we price European and American vanilla and barrier options assuming that the underlying follows the variance gamma process. We solve numerically the problem implementing a finite difference algorithm and we present numerical experiments on the option pricing. This dissertation includes detailed algorithms as well as programming code in C++ to price European and American vanilla and barrier options under variance gamma.
|Item Type:||MPRA Paper|
|Original Title:||Option Pricing Under the Variance Gamma Process|
|Keywords:||Variance Gamma Process; Option Pricing Under Variance Gamma; Numerical Solution of Option Prices Under Variance Gamma; Numerical Solution of Variance Gamma PIDE; Numerical Solutions of Variance Gamma Partial Differential Equation; Programming Code for Variance Gamma Option Pricing|
|Subjects:||G - Financial Economics > G1 - General Financial Markets > G12 - Asset Pricing ; Trading Volume ; Bond Interest Rates
C - Mathematical and Quantitative Methods > C0 - General > C00 - General
G - Financial Economics > G1 - General Financial Markets > G13 - Contingent Pricing ; Futures Pricing
|Depositing User:||Filo Fiorani|
|Date Deposited:||03. Jun 2009 00:12|
|Last Modified:||08. Mar 2015 22:59|
Ane Thierry and Geman Helyette, "Order Flow, Transaction Clock and Normality of Asset Returns", The Journal of Finance, Vol. 55, 2000, pages 2259-2284.
Carr Peter, Geman Helyette, Madan Dilip B. and Yor Marc, "Stochastic Volatility for Levy Processes", Mathematical Finance, Vol. 13, No. 3, July 2003, pages 345-382.
Carr Peter, Geman Helyette, Madan Dilip B. and Yor Marc, "The Fine Structure of Asset Returns: An Empirical Investigation", The Journal of Business, Vol. 75, No. 2, 2002, pages 305-332.
Carr Peter and Wu Liuren, "Time-Changed Levy Processes and Option Pricing", forthcoming in Journal of Financial Economics.
Fiorani Filippo, "Le Barrier Option nel Mercato Finanziario: Replica Statica e Dinamica", BA Thesis, Turin University, 1999.
Geman Helyette, "Pure Jump Levy Processes for Asset Price Modelling", Journal of Banking and Finance, Vol. 26, 2002, pages 1297-1316.
Geman Helyette, Madan Dilip B. and Yor Marc, "Asset Prices are Brownian Motion: Only in Business Time", working paper, 1998.
Geman Helyette, Madan Dilip B. and Yor Marc, "Time Changes for Levy Processes", Mathematical Finance, Vol. 11, No. 1, January 2001, pages 79-96.
Hirsa Ali and Madan Dilip B., "Pricing American Options Under Variance Gamma", Journal of Computational Finance, Vol. 7, No. 2, Winter 2003/2004, pages 63-80.
Lam K., Chang E. and Lee M. C., "An Empirical Test of the Variance Gamma Option Pricing Model", Pacific-Basin Finance Journal, Vol. 10, No. 3, 2002, pages 267-285.
Madan Dilib B., Carr Peter P. and Chang Eric C., "The Variance Gamma Process and Option Pricing", European Finance Review 2, 1998, pages 79-105.
Madan Dibip B. and Milne Frank, "Option Pricing with V.G. Martingale Components", Mathematical Finance, Vol. 1, No. 4, October 1991, pages 39-55.
Madan Dilib B. and Seneta Eugene, "The Variance Gamma (V.G.) Model for Share Market Returns", The Journal of Business, 63(4), 1990, pages 511-524.
Sato K., "Levy Processes and Infinitely Divisible Distributions", Cambridge University Press, 1999.