REFERENCES
- Albeverio , S. , and V. Steblovskaya . 2002 . A model of financial market with several interacting assets. Complete market case . Finance and Stochastics 6 : 383 – 396 . [CSA]
- Albeverio , S. , and V. Steblovskaya . 2002 . Financial market with interacting assets: Pricing barrier options . Proceedings of the Steklov Institute of Mathematics 237 : 164 – 175 . [CSA]
- Albeverio , S. , and A. Popovici , and V. Steblovskaya . 2004 . Numerical analysis of the extended Black-Scholes model . To appear in The International Journal of Theoretical and Applied Finance . [CSA]
- Merton , R.C. 1976 . Option pricing when underlying stock returns are discontinuous . J. Fin. Econ. 3 : 125 – 144 . [CSA] [CROSSREF]
- Mason , S.P. , and S. Bhattacharaya . 1981 . Risky debt, jump processes and safety covenants . J. Fin. Econ. 9 : 281 – 307 . [CSA] [CROSSREF]
- Lamberton , D. , and B. Lapeyre . 1996 . Introduction to Stochastic Calculus Applied to Finance . Translated by N. Rabeau and F. Mantion . London : Chapman & Hall .
- Goebenli , M. 1998 . Eine Verfeinerung des Modells von Black-Scholes mit zwei Poisson-Prozessen . Diploma thesis, Stochastics, Mathematics Department , Ruhr-University Bochum , Germany .
- Eberlein , E. , and J. Jacod . 1997 . On the range of options prices . Finance and Stochastics 1 : 131 – 140 . [CSA] [CROSSREF]
- Pham , H. 1998 . Imperfections de Marchés et Méthodes d'Evaluation et Couverture d'Options . Pisa : Scuola Normale Superiore Pisa .
- Schweizer , M. 2001 . A guided tour through quadratic hedging approaches . In Option Pricing, Interest Rates, and Risk Management , eds., E. Jouini , J. Cvitanic and M. Musiela , 538 – 574 . Cambridge : Cambridge University Press .
- Schmitz , M. , and K. Wallbaum . 2003 . A Model Of Financial Market With Several Interacting Assets. Incomplete Market Case . Diploma thesis, Stochastics, Inst. Applied Mathematics , University of Bonn , Germany .
- Albeverio , S. , K. Bernoth , A. Popovici , and V. Steblovskaya . Financial Market with Several Interacting Assests driven by Lévy Processes . In preparation .
- Bernoth , K. 2003 . An Extended Multidimensional Black-Scholes Model with Lévy Noises . Diploma thesis, Stochastics, Inst. Applied Mathematics , University of Bonn , Germany .
- Wannenwetsch , J. 2004. Fast Basket Option Pricing in a Jump-Diffusion Model with Lévy Copulas . Diploma thesis, Stochastics, Inst. Applied Mathematics, University of Bonn , Germany.
- Musiela , M. , and M. Rutkowski . 1997 . Martingale Methods in Financial Modelling . Berlin : Springer-Verlag .
- Gard , T.C. 1988 . Introduction to Stochastic Differential Equations . Marcel Dekker Inc.
- Bingham , N.H. , and R. Kiesel . 1998 . Risk-Neutral Valuation – Pricing and Hedging of Financial Derivatives . Heidelberg : Springer-Verlag .
- Lütkebohmert , E.M. 2004 . Finite Dimensional Realizations of Interest Rate Models with Jumps and an Asymptotic Expansion for the Black-Scholes Model with Generalized Volatility . Ph.D. Thesis, Stochastics, Inst. of Appl. Math. , University of Bonn , Germany .
- Kosyak , A. Quasi-Invariant Measures and Irreducible Representations of the Inductive Limit of the Special Linear Groups . In preparation .