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Implied Calibration of Stochastic Volatility Jump Diffusion Models Author info | Abstract | Publisher info | Download info | Related research | Statistics Stefano Galluccio (BNP Paribas)
Yann Le Cam (University of Evry Val d'Essonne)
In the context of arbitrage-free modelling of financial derivatives, we introduce a novel calibration technique for models in the affine- quadratic class for the purpose of contingent claims pricing and risk- management. In particular, we aim at calibrating a stochastic volatility jump diffusion model to the whole market volatility surface at any given time. We numerically implement the algorithm and show that the proposed approach is both stable and accurate.
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Paper provided by EconWPA in its series Finance with number
0510028.
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Length: 40 pages
Date of creation: 25 Oct 2005Date of revision:
Handle: RePEc:wpa:wuwpfi:0510028Note: Type of Document - pdf; pages: 40Contact details of provider: Web page: http://129.3.20.41
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Keywords: Affine-quadratic models ; Option pricing ; Model Calibration ; Find related papers by JEL classification: G12 - Financial Economics - - General Financial Markets - - - Asset Pricing G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
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References listed on IDEAS Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile , click on "citations" and make appropriate adjustments.: Mikhail Chernov & A. Ronald Gallant & Eric Ghysels & George Tauchen, 1999.
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[Downloadable!]
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Jones, Christopher S., 2003.
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SFB 649 Discussion Papers
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[Downloadable!]
Other versions:
Mikhail Chernov & A. Ronald Gallant & Eric Ghysels & George Tauchen, 2002.
"Alternative Models for Stock Price Dynamics ,"
CIRANO Working Papers
2002s-58, CIRANO.
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Other versions: Leif Andersen & Jesper Andreasen, 2000.
"Jump-Diffusion Processes: Volatility Smile Fitting and Numerical Methods for Option Pricing ,"
Review of Derivatives Research ,
Springer, vol. 4(3), pages 231-262, October.
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David Backus & Silverio Foresi & Liuren Wu, 2002.
"Accouting for Biases in Black-Scholes ,"
Finance
0207008, EconWPA.
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Robert C. Merton, 1973.
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The RAND Corporation, vol. 4(1), pages 141-183, Spring.
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Monika Piazzesi, 2001.
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NBER Working Papers
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Other versions: Olivier Scaillet., 2003.
"Linear-Quadratic Jump-Diffusion Modelling with Application to Stochastic Volatility ,"
THEMA Working Papers
2003-29, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
[Downloadable!]
Other versions: Heston, Steven L, 1993.
"A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options ,"
Review of Financial Studies ,
Oxford University Press for Society for Financial Studies, vol. 6(2), pages 327-43.
[Downloadable!] (restricted)
Full
references Cited by : (explanations , Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile , click on "citations" and make appropriate adjustments.)
Giacomo Bormetti & Valentina Cazzola & Danilo Delpini, 2009.
"Option Pricing Under Ornstein-Uhlenbeck Stochastic Volatility ,"
Quantitative Finance Papers
0905.1882, arXiv.org.
[Downloadable!]
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