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

ISBN-10: 0817645446

ISBN-13: 9780817645441

ISBN-10: 0817645454

ISBN-13: 9780817645458

This self-contained quantity brings jointly a set of chapters through probably the most uncommon researchers and practitioners within the fields of mathematical finance and monetary engineering. providing cutting-edge advancements in idea and perform, the Festschrift is devoted to Dilip B. Madan at the social gathering of his sixtieth birthday.

Specific issues lined include:

* conception and alertness of the Variance-Gamma process

* Lévy strategy pushed fixed-income and credit-risk versions, 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 cost bubbles

* software valuation for credits derivatives and portfolio management

Advances in Mathematical Finance is a precious 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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The photograph shown in Figure 1 taken in my Sydney office shows Dilip and me finalizing a first revision of what became [21] just before he left Sydney for the University of Maryland, and so dates to about July 1988. S. academic year, and I recall last touches on a brief conference visit which I made to the United States in January 1990. Acknowledgments I am indebted to Keith McLaren, Professor of Econometrics at Monash University, and Emeritus Professor Helen Praetz, Peter Praetz’s widow, for biographical and academic information about him.

W. Epps. Pricing Derivative Securities. World Scientific, 2000. 3. F. Fama. The behaviour of stock-market prices. J. Business, 38:34–105,1965. 4. A. Feuerverger and P. McDunnough. On the efficiency of empirical characteristic function procedures. J. R. Statist. , Ser. B, 43:20–27, 1981. 5. R. Finlay and E. Seneta. Stationary-increment Student and Variance-Gamma processes. J. Appl. , 43:441–453, 2006. 6. T. Fung and E. Seneta. Operations Research Letters, in press, 2006. 7. W. Harrar, E. K. Gupta. G.

F. involves; and likewise for the asymmetric VG distribution, given later in [10]. The Early Years of the Variance-Gamma Process 15 7 The VG paper of 1990 The Journal of Business does not show received/revised dates for [21], but the original submission, printed on a dot-matrix printer, carries the date February 1988, and I have handwritten notes dated 23 March 1988 relating to things that need to be addressed in a possible revision. To give an idea of the evolution to [21], the following presents some of the flow of the original submission, which begins by taking the distribution of the return R to be given by R|V ∼ N (μ, σ 2 V ), where V ∼ Γ (γ, c).

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


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