Estimation method and system for complex securities using low-di

Data processing: financial – business practice – management – or co – Automated electrical financial or business practice or... – Finance

Patent

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

705 37, G06F 1760

Patent

active

059408103

ABSTRACT:
In securities trading, in setting the initial offering price of a financial instrument, or in later revaluation as financial parameters such as interest rates may change, an estimate of the value of the instrument may be represented as a multi-dimensional integral. For evaluation of the integral, numerical integration is preferred with the integrand being sampled at deterministic points having a low-discrepancy property. The technique produces approximate values at significant computational savings and with greater reliability as compared with the Monte Carlo technique.

REFERENCES:
patent: 4953085 (1990-08-01), Atkins
patent: 5148365 (1992-09-01), Dembo
patent: 5193056 (1993-03-01), Boes
Niederreiter, H., "Random Number Generation and Quasi-Monte Carlo Methods", CBMS-NSF, 63, Siam, Philadelphia 1992, pp. 1-45.
M. Karlos et al., "Monte Carlo Methods", John Wiley & Sons, 1986 pp. 89-117.
H. Wozniakowski, "Average Case Complexity of Linear Multivariate Problems", Journal of Complexity 8 pp. 373-392, 1992.
H. Wozniakowski, "Average Case Complexity of Multivariate Integration", Bulletin of Amer. Math. Society, vol. 24, No. 1, Jan. 1991, pp. 185-194.
B.W. Kernighan et al., The Programming Language C, Prentice-Hall, 1978, Cover Page and Table of Contents only.
H. Niederreiter, Random Number Generation and Quasi-Monte Carlo Methods, CBMS-NSF, 63, SIAM, Philadelphia, 1992. Cover Page and Table of Contents only.
S. Paskov, "Average Case Complexity of Multivariate Integration for Smooth Functions", Journal of Complexity, vol. 9 (1993), pp. 291-312.
W. Press et al., Numerical Recipes in C, Cambridge University Press, 1992, Cover page and Table of Contents only.
M. Kalos et al., Monte Carlo Methods, John Wiley & Sons, 1986, Cover Page, Preface and Table of Contents only.
P. Bratley, B. L. Fox and H. Niederreiter, "Implementation and Tests of Low-Discrepancy Sequences", ACM Transactions on Modeling and Computer Simulation, vol. 2 (1992), pp. 195-213.
E. J. Janse van Rensburg et al., "Estimation of Multidimensional Integrals: Is Monte Carlo the Best Method?", J. Phys. A: Math. Gen., vol. 26 (1993), pp. 943-953.
I.M. Sobol, A Primer for the Monte Carlo Method, CRC Press, 1994, pp. 99, 104.
B. Moskowitz et al., "Smoothness and Dimension Reduction in Quasi-Monte Carlo Methods", Mathematical and Computational Modelling, vol. 23 (1996), pp. 37-54.
S. Tezuka, Uniform Random Numbers: Theory and Practice, Kluwer Academic Publishers, 1995, pp. xi-xii.
S. Tezuka, "A Generalization of Faure Sequences and its Efficient Implementation", IBM Research Report RT0105, Nov. 14, 1994, pp. 1, 5, 6, 10.
S. Ninomiya and S. Tezuka, "Toward Real-time Pricing of Complex Financial Derivatives", Applied Mathematical Finance, vol. 3 (1996), pp. 1, 2, 20.
S.H. Paskov, "Computing High-dimensional Integrals with Applications to Finance", Columbia University Technical Report CUCS-023-94, pp. 1-20.
J. Case, "Wall Street's Dalliance with Number Theory", SIAM News, Dec. 1995, pp. 8-9.
B. Cipra, What's Happening in the Mathematical Sciences (1995-1996), vol. 3, American Mathematical Society, 1996, pp. 101-111.

LandOfFree

Say what you really think

Search LandOfFree.com for the USA inventors and patents. Rate them and share your experience with other people.

Rating

Estimation method and system for complex securities using low-di does not yet have a rating. At this time, there are no reviews or comments for this patent.

If you have personal experience with Estimation method and system for complex securities using low-di, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Estimation method and system for complex securities using low-di will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFUS-PAI-O-325678

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.