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Title: US6058377: Portfolio structuring using low-discrepancy deterministic sequences
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Country: US United States of America

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18 pages

 
Inventor: Traub, Joseph F.; New York, NY
Paskov, Spassimir; Scarsdale, NY
Vanderhoof, Irwin F.; Towaco, NJ
Papageorgiou, Anargyros; New York, NY

Assignee: The Trustees of Columbia University in the City of New York, New York, NY
other patents from COLUMBIA UNIVERSITY (112155) (approx. 555)
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Published / Filed: 2000-05-02 / 1998-02-09

Application Number: US1998000020733

IPC Code: Advanced: G06Q 40/00;
Core: more...
IPC-7: G06F 17/60;

ECLA Code: G06Q40/00A; G06Q40/00D;

U.S. Class: Current: 705/036.R; 705/035; 705/038;
Original: 705/036; 705/035; 705/038;

Field of Search: 705/035,36,38

Government Interest:     The United States Government has certain rights to this invention pursuant to grants CCR-91-14042 and IRI-92-12597 awarded by the National Science Foundation, and to grant AFOSR-91-0347 awarded by the U.S. Air Force.

Priority Number:
1998-02-09  US1998000020733
1999-08-18  CA1999002280476
1999-08-20  EP1999000306624
1999-10-07  JP1999000286401
1997-07-30  US1997000902921
1994-08-04  US1994000285902

Abstract:     In securities valuation, 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. Further to estimating the value of a complex security, sampling at points of a low-discrepancy deterministic sequence can be used in estimating value at risk in portfolio structuring.

Attorney, Agent or Firm: Baker & Botts, L.L.P. ;

Primary / Asst. Examiners: MacDonald, Allen R.; Meinecke-Diaz, Susanna

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Related Applications:
Application Number Filed Patent Pub. Date  Title
US1997000902921 1997-07-30       
US1994000285902 1994-08-04       


       
Parent Case:     This application is a continuation-in-part of pending application Ser. No. 08/902,921, still pending, which was filed Jul. 30, 1997 as a continuation application of now-abandoned application Ser. No. 08/285,902 filed Aug. 4, 1994.

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First Claim:
Show all 18 claims
We claim:     1. A method for structuring a portfolio, comprising:
  • (i) calculating, by computer, a number of potential-loss function values at points in a domain of stochastic market factors, the points being obtained from a low-discrepancy deterministic sequence;
  • (ii) determining a cumulative distribution function of the function values;
  • (iii) determining value at risk as one of the function values corresponding to a specified level of confidence; and
  • (iv) structuring the portfolio depending on a comparison of the value at risk with a specified target value.


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Forward References: Show 27 U.S. patent(s) that reference this one

       
U.S. References: Go to Result Set: All U.S. references   |  Forward references (27)   |   Backward references (0)   |   Citation Link

       
Foreign References: None

Other Abstract Info: DERABS G1999-468566 DERABS G2000-375065 DERABS G2000-375065

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