Coupling and option price comparisons in a jump-diffusion model

References

• Bardhan I. Chao X. 1993 Pricing options on securities with discontinuous returns Stochastic Processes Appl. 48 123 137
   Google Scholar
• Bardhan I. Chao X. 1996 On martingale measures when asset returns have unpredictable jumps Stochastic Processes Appl. 63 35 54
   Google Scholar
• Bellamy N. Jeanblanc M. 2000 Incompleteness of markets driven by a mixed diffusion Finance and Stochastics 4
   Google Scholar
• Bergman Y.Z. Grundy B.D. Wiener Z. 1996 General properties of options prices Journal of Finance 51 1573 1610
   Google Scholar
• Carr P. Geman H. Madan D.B. Yor M. 2002 The fine structure of asset returns: an empirical investigation Journal of Business 75 305 332
   Google Scholar
• Chan T. 1999 Pricing contingent claims on stocks driven by Levy processes Annals of Applied Probability 9 504 528
   Google Scholar
• Delbaen F. Grandits P. Rheinlander T. Samperi D. Schweizer M. Stricker C. 2002 Exponential hedging and entropic penalties Mathematical Finance 12 99 123
   Google Scholar
• Duffie D. Pan J. Singleton K. 2000 Transform analysis and option pricing for affine jump diffusions Econometrica 68 1343 1376
   Google Scholar
• Duffie D. Singleton K.J. 1999 Modelling term structure models of default bonds Review of Financial Studies 12 687 720
   Google Scholar
• Eberlein E. Jacod J. 1997 On the range of option prices Finance and Stochastics 1 2 131 140
   Google Scholar
• El Karoui N. Jeanblanc Picque M. Shreve S.E. 1998 Robustness of the Black and Scholes formula Mathematical Finance 8 2 93 126
   Google Scholar
• Elliot R.J. 1982 Stochastic Calculus and Applications Springer New York
   Google Scholar
• Elliot R.J. Jeanblanc M. 1999 Incomplete markets with jumps and informed agents Mathematical Methods Oper. Research 50 475 492
   Google Scholar
• Embrechts P. Frey R. Furrer H. 2001 Stochastic Processes in Insurance and Finance Handbook of Statistics Stochastic Processes: Theory and Methods, Elsevier Science Amsterdam 19 365 412
   Google Scholar
• Föllmer H. Schweizer M. 1990 Hedging of contingent claims under incomplete information Davis M.H.A. Elliott R.J. Applied Stochastic Analysis Gordon and Breach New York
   Google Scholar
• Frittelli M. 2000 The Minimal Entropy Martingale measure and the valuation problem in incomplete markets Mathematical Finance 10 39 52
   Google Scholar
• Gerber H.U. Shui E.S.W. 1994 Option pricing by Esscher transforms. With discussion Transactions of the Society of Actuaries 99 191
   Google Scholar
• Henderson V. 2000 Price comparison results and super-replication: an application to Passport options Applied Stochastic Models in Business and Industry 16 4 297 310
   Google Scholar
• Henderson V. Hobson D.G. 2000 Local time, coupling and the Passport option Finance and Stochastics 4 1 69 80 January
   Google Scholar
• Hobson D.G. 1998 Volatility mis-specification, option pricing and super-replication via coupling Annals of Applied Probability 8 1 193 205
   Google Scholar
• Jeanblanc, M. and Privault, N. A complete market model with Poisson and Brownian components, Prépublication du Département de Mathèmatiques, Université de La Rochelle, 1999.
   Google Scholar
• Kou, S. (2001) A jump diffusion model for option pricing, preprint, Columbia University.
   Google Scholar
• Lindvall T. 1992 Lectures on the Coupling Method Wiley New York
   Google Scholar
• Lyons T. 1995 Uncertain volatility and the risk-free synthesis of derivatives Applied Mathematical Finance 2 117 133
   Google Scholar
• Madan D.B. Seneta E. 1990 The variance gamma model for share market returns Journal of Business 63 511 524
   Google Scholar
• Martini C. 1999 Propagation of convexity by Markovian and martingalian semigroups Potential Analysis 10 133 175
   Google Scholar
• Merton R.C. 1976 Option pricing when underlying stock returns are discontinuous Journal of Financial Economics 3 125 144
   Google Scholar
• Pham H. 1997 Optimal stopping, free boundary and American option in a jump diffusion model Applied Mathematical Optim. 35 145 164
   Google Scholar
• Prigent, J., Renault, O. and Scaillet, O. (2001) Option pricing with discrete rebalancing; Preprint.
   Google Scholar
• Rouge R. El Karoui N. 2000 Pricing via utility maximisation and entropy Mathematical Finance 10 2 259 276
   Google Scholar
• Rogers L.C.G. Williams D. 1987 Diffusions, Markov Processes and Martingales Wiley New York 2
   Google Scholar