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Tytuł artykułu

An Application of Wavelet Analysis to Pricing and Hedging Derivative Securities

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Języki publikacji
EN
Abstrakty
EN
This work provides an application of wavelet analysis to pricing and hedging path-dependent contingent claims within the framework of the Black-Scholes model.
Rocznik
Strony
43--53
Opis fizyczny
Bibliogr. 16 poz.
Twórcy
autor
  • Mathematisches Institut, Universität Tübingen, 72076 Tübingen, Germany
Bibliografia
  • [1] P. P. Boyle, Valuation of derivative securities involving several assets using discrete time models, Insurance 9 (1990).
  • [2] I. Daubechies, Ten Lectures on Wavelets, CBMS-NFS Regional Conference Series in Applied Mathematics, Philadelphia 1992.
  • [3] E. B. Davies, Quantum Theory of Open Systems, Academic Press, New York 1976.
  • [4] F. Delban, P. Monat, C. Stricker, W. Schachermayer and M. Schweizer, Weighted norm inequalities and hedging in incomplete markets, Finance & Stochastics (to appear).
  • [5] D. Duffie, Dynamic Asset Pricing Theory, Princeton University Press, Princeton 1996.
  • [6] - and P. Glynn, Efficient Monte Carlo estimation of security prices, Ann. Appl. Probab. 5, No. 4 (1985), pp. 897-905.
  • [7] A. Grossmann, J. Morlet and T. Paul, Transformations associated to square integrable group representations. I: General results, J. Math. Phys. 26 (1985), pp. 2473-2479.
  • [8] - Transformations associated to square integrable group representations. II: Examples, Ann. Inst. H. Poincaré Phys. Théor. 45 (1986), pp. 293-309.
  • [9] W. Hackenbroch and A. Thalmeier, Stochastische Analysis, Teubner, Stuttgart 1994.
  • [10] J. M. Harrison and S. R. Pliska, Martingales and stochastic integrals in the theory of continuous trading, Stochastic Process. Appl. 11 (1981), pp. 215-260.
  • [11] T. Hida, Brownian Motion, Springer-Verlag, New York-Heidelberg-Berlin 1980.
  • [12] M. Musiela and M. Rutkowski, Martingale Methods in Financial Modelling, Springer-Verlag, Berlin-Heidelberg-New York 1997.
  • [13] N. Neftci, An Introduction to the Mathematics of Financial Derivatives, Academic Press, San Diego 1996.
  • [14] K. R. Parthasarathy, An Introduction to Quantum Stochastic Calculus, Birkhäuser, Basel-Boston-Berlin 1992.
  • [15] M. Schweizer, Option hedging for semimartingales, Stochastic Process. Appl. 37 (1991), pp. 339-363.
  • [16] H. Weizsäcker and G. Winkler, Stochastic Integrals, Friedr. Vieweg & Sohn, Braunschweig, Wiesbaden 1990.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-02d9786f-1043-4c41-84c3-38b9d8756105
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