Advances in Mathematical Finance by Michael C. Fu, Robert A. Jarrow, Ju-Yi Yen, Robert J Elliott

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By Michael C. Fu, Robert A. Jarrow, Ju-Yi Yen, Robert J Elliott

This self-contained quantity brings jointly a set of chapters via one of the most amazing researchers and practitioners within the fields of mathematical finance and monetary engineering. featuring state of the art advancements in concept and perform, the Festschrift is devoted to Dilip B. Madan at the get together of his sixtieth birthday.

Specific issues coated include:

* thought and alertness of the Variance-Gamma process

* Lévy procedure pushed fixed-income and credit-risk types, together with CDO pricing

* Numerical PDE and Monte Carlo methods

* Asset pricing and derivatives valuation and hedging

* Itô formulation for fractional Brownian motion

* Martingale characterization of asset fee bubbles

* application valuation for credits derivatives and portfolio management

Advances in Mathematical Finance is a worthy source for graduate scholars, researchers, and practitioners in mathematical finance and fiscal engineering.

Contributors: H. Albrecher, D. C. Brody, P. Carr, E. Eberlein, R. J. Elliott, M. C. Fu, H. Geman, M. Heidari, A. Hirsa, L. P. Hughston, R. A. Jarrow, X. Jin, W. Kluge, S. A. Ladoucette, A. Macrina, D. B. Madan, F. Milne, M. Musiela, P. Protter, W. Schoutens, E. Seneta, okay. Shimbo, R. Sircar, J. van der Hoek, M.Yor, T. Zariphopoulou

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Sample text

System) jointly in the Department of Econometrics and Operations Research and in the Department of Accounting and Finance, Monash University. He took early retirement in 1989 on account of his health, and died October 6, 1997. As a young academic at the Australian National University, Canberra, from the beginning of 1965, and interested primarily in stochastic processes, I had noticed in the Australian Journal of Statistics the well-documented paper of Praetz [24] investigating thoroughly the adequacy of various properties of the simple Brownian model for returns (Bachelier), in particular independence 12 Eugene Seneta of nonoverlapping increments and the tail weight of the common distribution.

16. P. J¨ ackel. Monte Carlo Methods in Finance. Wiley, 2002. 17. S. Laprise. Stochastic Dynamic Programming: Monte Carlo Simulation and Applications to Finance. D. dissertation, Department of Mathematics, University of Maryland, 2002. 18. B. Madan, P. C. Chang. The variance gamma process and option pricing. European Finance Review, 2:79–105, 1998. 19. B. Madan and F. Milne. G. martingale components. Mathematical Finance, 1:39–55, 1991. 20. B. Madan and E. Seneta. ) model for share market returns.

S, using Kolmogorov’s test. A variant of this estimation procedure was to be investigated in the next two papers [16], [18]. This is anticipated in [14] by mentioning the paper [4]. It was remarked that the estimate of θ for the NCP was generally small, thus arguing for a purely compound Poisson process, and against the stable laws. The VG distribution and process were yet to make their appearance. The VG was to share equal standing with the NCP in the next two papers [16] and [18]. An important difference between the VG and NCP models, however, is that the VG turns out to be a pure jump process, and the limit of compound Poisson processes.

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