Abstract
A critical problem in Finance Engineering is to value the option and other derivatives securities correctly. The Monte Carlo method (MC) is an important one in the computation for the valuation of multiasset European option. But its convergence rate is very slow. So various quasi Monte Carlo methods and there relative parallel computing method are becoming an important approach to the valuing of multi-asset European option. In this paper, we use a number-theoretic method, which is a H-W method, to generate identical distributed point set in order to compute the value of the multi-asset European option. It turns out to be very effective, and the time of computing is greatly shortened. Comparing with other methods, the method computes less points and it is especially suitable for high dimension problem.
Weimin Zheng,Prof., Present research project: computer architecture, parallel and distribute process and math finance and so on. This research is supported by a joint research grant (No:60131160743, N_CityU102/01) of NSFC/RGC.
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References
Kwok Y.K., Mathematical Models of Financial Derivatives. Spring-Verlag Singapore Pte. Ltd(1998)
Stavros A. Z., High-Performance Computing in Finance: The Last 10 Years and The Next. Parallel Computing, 25(1999)2149–2175
Jenny X L, Gary L M. Parallel Computing of A Quasi-Monte Carlo Algorithm for Valuing Derivatives. Parallel Computing, 26(2000) 641–653
Acworth P., Broadie M., Glasserman P., A Comparison of Some Monte Carlo and Quasi Monte Carlo Techniques for Option Pricing, in: Niederreiter H., Hellekalek P., Larcher G., Zinterhof P.(Eds.) Monte Carlo and Quasi-Monte Carlo Methods 1996, Lecture Notes in Statistics, Springer,Berlin, 127(1998)1–18
Perry S.C., Grimwood R.H., Kerbyson D. J, et al. Performance Optimization of Financial Option Calculations. Parallel Computing, 26(2000)623–639
Morokoff W., Caflish R.E., Quasi-Random Sequences and Their Discrepancies. SIAM J. Sci. Stat. Computing, 15(1994)1251–1279
Paskov S.H. New Methodologies for Valuing Derivatives, in: Mathematics of Derivatives Securities. Isaac Newton Inst., Cambridge Univ. Press, Cambridge(1996)
Papageorgiou H.A., Traub J.F.. New Results on Deterministic Pricing of Financial Derivatives, Technical Report CUCS-028-96, Columbia: Department of computer Science, Columbia University(1996)
Fang K.T., Wang Y.. Applications of Number-theoretic Method in Statistics, The Science Press, Beijing, P.R. China (1996)
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Zheng, W., Shu, J., Deng, X., Gu, Y. (2003). Parallel Computing Method of Valuing for Multi-asset European Option. In: Sloot, P.M.A., Abramson, D., Bogdanov, A.V., Gorbachev, Y.E., Dongarra, J.J., Zomaya, A.Y. (eds) Computational Science — ICCS 2003. ICCS 2003. Lecture Notes in Computer Science, vol 2658. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44862-4_1
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DOI: https://doi.org/10.1007/3-540-44862-4_1
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