Tytuł artykułu
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Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Konferencja
Federated Conference on Computer Science and Information Systems (17 ; 04-07.09.2022 ; Sofia, Bulgaria)
Języki publikacji
Abstrakty
In the contemporary finance the Monte Carlo andquasi-Monte Carlo methods are solid instruments to solve various problems. In the paper the problem of finding the fair value of European style options is considered. Regarding the option pricing problems, Monte Carlo methods are extremely efficient and useful, especially in higher dimensions. In this paper we show simulation optimization methods which essentially improve the accuracy of the standard approaches for European style options.
Rocznik
Tom
Strony
97--100
Opis fizyczny
Bibliogr. 25 poz., tab., wz.
Twórcy
autor
- nstitute of Mathematics and Informatics Bulgarian Academy of Sciences 8 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
- nstitute of Information and Communication Technologies Bulgarian Academy of Sciences 25A Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
autor
- nstitute of Mathematics and Informatics Bulgarian Academy of Sciences 8 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
- Department of Applied Mathematics and Statistics Angel Kanchev University of Ruse 8 Studentska Str., 7004 Ruse, Bulgaria
Bibliografia
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- 2. F. Black, M. Scholes, The pricing of pptions and corporate liabilities, J. Pol. Econ. 81, 637-659, 1973.
- 3. P. P. Boyle, Options: a Monte Carlo approach, J. Finan. Econ. 4, 323-338, 1977.
- 4. P. Bratley, B. Fox, Algorithm 659: Implementing Sobol’s quasirandom sequence generator, ACM Transactions on Mathematical Software, 14 (1), 88-100, 1988.
- 5. D. M. Chance, An Introduction to Derivatives (third edition), The Dryden Press, 1995.
- 6. J. C. Cox, S. A. Ross, M. Rubinstein, Option Pricing: a simplified approach, J. Fin. Econ. 7, 229-263, 1979.
- 7. I. Dimov, Monte Carlo Methods for Applied Scientists, New Jersey, London, Singapore, World Scientific, 2008.
- 8. D. Duffie, Dynamic Asset Pricing Theory, Princeton, 1992.
- 9. D. Duffie, Security Markets: Stochastic Models, Academic Press, Inc. 1988.
- 10. R. Eckhardt, Stan Ulam, John von Neumann and the Monte Carlo Method, 1987.
- 11. V. Eglajs, P. Audze, New approach to the design of multifactor experiments. Problems of Dynamics and Strengths, 35 (in Russian), Riga, Zinatne Publishing House, 104-107, 1977.
- 12. B. Fox, Algorithm 647: Implementation and relative efficiency of quasirandom sequence generators, ACM Transactions on Mathematical Software, 12(4), 362-376, 1986.
- 13. J. Halton, On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals, Numerische Mathematik, 2, 84-90, 1960.
- 14. J. Halton, G.B. Smith, Algorithm 247: Radical-inverse quasi-random point sequence, Communications of the ACM, 7, 701-702, 1964.
- 15. W. Jarosz, Efficient Monte Carlo Methods for Light Transport in Scattering Media, PhD dissertation, UCSD, 2008.
- 16. S. Joe, F. Kuo, Remark on Algorithm 659: Implementing Sobol’s quasirandom sequence generator, ACM Transactions on Mathematical Software, 29(1), 49-57, 2003.
- 17. M. Broadie, P. Glasserman, Pricing American-style securities using simulation, J. of Economic Dynamics and Control 21, 1323-1352, 1997.
- 18. H. Niederreiter, Random Number Generation and Quasi-Monte Carlo Methods CBSM 63, 1992.
- 19. H. Niederreiter, Monatsh. Math. 86, 203-219, 1978.
- 20. M.D. McKay, R.J. Beckman, W.J. Conover, A comparison of three methods for selecting values of input variables in the analysis of output from a computer code, Technometrics 21(2), 239-245, 1979.
- 21. B. Minasny, B. McBratney, A conditioned Latin hypercube method for sampling in the presence of ancillary information, Journal Computers and Geosciences archive, 32(9), 1378-1388, 2006.
- 22. B. Minasny, B. McBratney, Conditioned Latin Hypercube Sampling for Calibrating Soil Sensor Data to Soil Properties, Chapter: Proximal Soil Sensing, Progress in Soil Science, 111-119, 2010.
- 23. Y. Lai, J. Spanier, Applications of Monte Carlo/Quasi-Monte Carlo Methods in Finance: Option Pricing, Proceedings of a conference held at the Claremont Graduate University, 1998.
- 24. I. Sobol, Numerical methods Monte Carlo, Nauka, Moscow, 1973.
- 25. P. Wilmott, J. Dewynne, S. Howison, Option Pricing: Mathematical Models and Computation, Oxford University Press, 1995.
Uwagi
Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-00700381-5b44-49d0-a34b-07751c220377