Efficient Pricing of Ratchet Equity-Indexed Annuities in a Variance-Gamma Economy

References

• Albrecher , H. and Predota , M. 2002 . Bounds and Approximations for Discrete Asian Options in a Variance-Gamma Model . Grazer Mathematische Berichte , 345 : 35 – 57 .
   Google Scholar
• Albrecher , H. and Predota , M. 2004 . On Asian Option Pricing for NIG Lévy Processes . Journal of Computational and Applied Mathematics , 172 ( 1 ) : 153 – 168 .
   Web of Science ®Google Scholar
• Avramidis , A. and L’ecuyer , P. 2006 . Efficient Monte Carlo and Quasi-Monte Carlo Option Pricing under the Variance-Gamma Model . Management Science , 52 ( 30 ) : 1930 – 1944 .
   Google Scholar
• Ballotta , L. 2009 . Pricing and Capital Requirements for with Profit Contracts: Modelling Considerations . Quantitative Finance , 9 ( 7 ) : 803 – 817 .
   Web of Science ®Google Scholar
• Boyle , P. , Broadie , M. and Glasserman , P. 1997 . Monte Carlo Methods for Security Pricing . Journal of Economic Dynamics and Control , 21 : 1267 – 1321 .
   Web of Science ®Google Scholar
• Carr , P. , Hogan , A. and Stein , H. 2007 . The Variance Gamma Model and Option Pricing , Quantitative Finance R&D Bloomberg . Working Paper, January
   Google Scholar
• Cont , R. and Tankov , P. 2004 . “ Financial Modelling with Jump Processes ” . In CRC Financial Mathematics Series , London : Chapman & Hall .
   Google Scholar
• Geman , H. , El Karoui , N. and Rochet , J. C. 1995 . Changes of Numeraire, Changes of Probability Measure and Option Pricing . Journal of Applied Probability , 32 : 443 – 458 .
   Web of Science ®Google Scholar
• Hubalek , F. and Sgarra , C. 2006 . Esscher Transforms and the Minimal Entropy Martingale Measure for Exponential Lévy Models . Quantitative Finance , 6 : 125 – 145 .
   Web of Science ®Google Scholar
• Jaimungal , S. 2004 . Pricing and Hedging Equity Indexed Annuities with Variance Gamma Deviates Preprint. Available at: http://www.utstat.utoronto.ca/sjaimung/papers/eiaVG.pdf
   Google Scholar
• Jarrow , R. and Rudd , A. 1982 . Approximate Option Valuation for Arbitrary Stochastic Processes . Journal of Financial Economics , 10 : 347 – 369 .
   Web of Science ®Google Scholar
• Ju , N. 2002 . Pricing Asian and Basket Options via Taylor Expansion . Journal of Computational Finance , 5 ( 3 ) : 79 – 103 .
   Google Scholar
• Kijima , M. and Wong , T. 2007 . Pricing of Ratchet Equity-Indexed Annuities under Stochastic Interest Rates . Insurance: Mathematics and Economics , 41 ( 3 ) : 317 – 338 .
   Web of Science ®Google Scholar
• Levy , E. 1992 . Pricing European Average Rate Currency Options . Journal of International Money and Finance , 11 : 474 – 491 .
   Web of Science ®Google Scholar
• Lin , X. S. and Tan , K. S. 2003 . Valuation of Equity-Indexed Annuities under Stochastic Interest Rates . North American Actuarial Journal , 7 ( 3 ) : 72 – 91 .
   Google Scholar
• Madan , D. B. , Carr , P. and Chang , E. 1998 . The Variance Gamma Process and Option Pricing . European Finance Review , 2 : 79 – 105 .
   Google Scholar
• Madan , D. B. and Milne , F. 1991 . Option Pricing with VG Martingale Components . Mathematical Finance , 1 : 39 – 45 .
   Google Scholar
• Madan , D. B. and Seneta , E. 1990 . The Variance Gamma (VG) Model for Share Market Returns . Journal of Business , 63 : 511 – 524 .
   Web of Science ®Google Scholar
• Ribeiro , C. and Webber , N. 2004 . Valuing Path Dependent Options in the Variance-Gamma Model by Monte Carlo with a Gamma Bridge . Journal of Computational Finance , 7 ( 2 ) : 81 – 100 .
   Google Scholar
• Schoutens , W. 2004 . Exotic Options under Lévy Models: An Overview . Journal of Computational and Applied Mathematics , 189 ( 1-2 ) : 526 – 538 .
   Google Scholar
• Turnbull , S. and Wakeman , L. 1991 . A Quick Algorithm for Pricing European Average Options . Journal of Financial and Quantitative Analysis , 26 ( 3 ) : 377 – 389 .
   Web of Science ®Google Scholar