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Research Papers

A multivariate Lévy process model with linear correlation

Pages 597-606 | Received 01 Dec 2006, Accepted 12 Jan 2009, Published online: 18 Jun 2009

References

  • Bakshi , G , Carr , P and Wu , L . 2007 . Stochastic risk premiums, stochastic skewness in currency options, and stochastic discount factors in international economics . J. Finan. Econ. , 87 : 132 – 156 .
  • Baxter , M . 2007 . Lévy simple structural models . Int. J. Theoret. Appl. Finan. , 10 : 593 – 606 .
  • Boyarchenko , SI and Levendorskiĭ , SZ . 2000 . Option pricing for truncated Lévy processes . Int. J. Theoret. Appl. Finan. , 3 : 549 – 552 .
  • Boyarchenko , S and Levendorskiĭ , S . 2002 . Non-Gaussian Merton–Black–Scholes Theory , Singapore : World Scientific .
  • Caillault , C and Guégan , D . 2005 . Empirical estimation of tail dependence using copulas: application to Asian markets . Quant. Finan. , 5 : 489 – 501 .
  • Carr , P , Geman , H , Madan , DB and Yor , M . 2002 . The fine structure of asset returns: an empirical investigation . J. Bus. , 75 : 303 – 325 .
  • Carr , P , Geman , H , Madan , DB and Yor , M . 2003 . Stochastic volatility for Lévy processes . Math. Finan. , 13 : 345 – 382 .
  • Carr , P and Madan , DB . 1999 . Option valuation using the fast Fourier transform . J. Comput. Finan. , 3 : 463 – 520 .
  • Cont , R and Tankov , P . 2006 . Retrieving Lévy processes from option prices: regularization of an ill-posed inverse problem . SIAM J. Control Optimiz. , 45 : 1 – 25 .
  • Frahm , G , Junker , M and Schmidt , R . 2005 . Estimating the tail dependence coefficient . Insurance: Math. Econ. , 37 : 80 – 100 .
  • Hull , J and White , A . 2004 . Valuation of a CDO and an n-th to default CDS without Monte Carlo simulation . J. Deriv. , 12 : 8 – 23 .
  • Kalemanova , A , Schmid , B and Werner , R . 2007 . The normal inverse Gaussian distribution for synthetic CDO pricing . J. Deriv. , 14 : 80 – 93 .
  • Kallsen , J and Tankov , P . 2006 . Characterization of dependence of multidimensional Lévy processes using Lévy copulas . J. Multivar. Anal. , 97 : 1551 – 1572 .
  • Kawai , R . On bootstrap calibrations with piecewise Lévy processes. . Preprint
  • Kou , S . 2002 . A jump-diffusion model for option pricing . Mgmt Sci. , 48 : 1086 – 1101 .
  • Luciano , E and Schoutens , W . 2006 . A multivariate jump-driven financial asset model . Quant. Finan. , 6 : 385 – 402 .
  • Madan , DB , Carr , PP and Chang , EC . 1998 . The variance gamma process and option pricing . Eur. Finan. Rev. , 2 : 79 – 105 .
  • Malevergne , Y and Sornette , D . 2005 . Extreme Financial Risk: From Dependence to Risk Management , Berlin : Springer .
  • Moosbrucker , T . 2006 . Pricing CDOs with correlated variance gamma distributions Preprint, Available online at http://www.cfr-cologne.de/downloads/kolloquium
  • O'Kane , D and Schloegl , L . 2003 . An analytical portfolio credit model with tail dependence , Quantitative Credit Research, Lehman Brothers .
  • Poon , S-H , Rochinger , M and Tawn , J . 2003 . Modelling extreme-value dependence in international stock markets . Statist. Sin. , 13 : 929 – 953 .
  • Prause, K., The generalized hyperbolic model: estimation, financial derivatives, and risk measures, Dissertation, Universität Freiburg i. Br, 1999
  • Rydberg , T . 1997 . The normal inverse Gaussian Lévy process: simulation and approximation . Commun. Statist.: Stochast. Mod. , 13 : 887 – 910 .
  • Sato , K . 1999 . Lévy Processes and Infinitely Divisible Distributions , Cambridge : Cambridge University Press .
  • Schoutens , W and Teugels , JL . 1998 . Lévy processes, polynomials and martingales . Commun. Statist.: Stochast. Mod. , 14 : 335 – 349 .
  • Tankov , P . Simulation and option pricing in Lévy copula models. . Available online at: http://people.math.jussieu.fr/~tankov/

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