A degenerate elliptic equation arising in an optimization problem under partial information

  • Watanabe Yûsuke
    Division of Mathematical Science for Social Systems, Graduate School of Engineering Science, Osaka University

抄録

In a financial market where risky securities are affected by hidden economic factors, we consider an optimal consumption/investment problem for the expected HARA utility of the investor's wealth on infinite time horizon. We report some results on the related Hamilton-Jacobi-Bellman equation, which is, after some transformation, a second order linear degenerate elliptic equation. Using its solution, an optimal consumption/investment strategy is specified.

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