Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
Online ISSN : 2188-4749
Print ISSN : 2188-4730
第45回ISCIE「確率システム理論と応用」国際シンポジウム(2013年11月, 沖縄)
A degenerate elliptic equation arising in an optimization problem under partial information
Yûsuke Watanabe
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ジャーナル フリー

2014 年 2014 巻 p. 71-76

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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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© 2014 ISCIE Symposium on Stochastic Systems Theory and Its Applications
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