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The Solution of an Optimal Control Problem in Financial Modeling

Author

Listed:
  • Blaine E. Davis

    (American Telephone and Telegraph Company, New York, New York)

  • D. Jack Elzinga

    (The Johns Hopkins University, Baltimore, Maryland)

Abstract

This paper solves a financial decision-making model in investment activity. Although highly simplified, it leads to a very complicated nonlinear optimal control problem whose complete feedback control solution is obtained by means of a reverse-time construction technique. A dispersal surface with nonunique solutions is present in the optimal solution because of the non-concavity of the problem.

Suggested Citation

  • Blaine E. Davis & D. Jack Elzinga, 1971. "The Solution of an Optimal Control Problem in Financial Modeling," Operations Research, INFORMS, vol. 19(6), pages 1419-1433, October.
  • Handle: RePEc:inm:oropre:v:19:y:1971:i:6:p:1419-1433
    DOI: 10.1287/opre.19.6.1419
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    Cited by:

    1. Eugene Khmelnitsky, 2002. "A Combinatorial, Graph-Based Solution Method for a Class of Continuous-Time Optimal Control Problems," Mathematics of Operations Research, INFORMS, vol. 27(2), pages 312-325, May.

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