Japan Journal of Industrial and Applied Mathematics

, Volume 35, Issue 3, pp 1037–1063 | Cite as

Risk-sensitive portfolio optimization problem for a large trader with inside information

  • Hiroaki HataEmail author
Original Paper Area 4


We consider a financial model that captures the characteristics of a large trader and an insider. This trader has some influence on the dynamics of prices. Moreover, the information of the insider is the final price plus a blurring noise that disappears as the final time approaches. In such a setting, we try to obtain the explicit solution of a risk-sensitive portfolio optimization problem with a finite time horizon.


Risk-sensitive control Stochastic factor model Insider trading HJB equation 

Mathematics Subject Classification

93E20 91B28 49L20 90C40 60J70 60H30 



The author thanks the anonymous referee for variable comments and suggestions. The author also thanks Professor A. Kohatsu-Higa for his helpful comments. This work is supported by Grant-in-Aid for Young Scientists (B) No. 15K17584 from the Japan Society for the Promotion of Science.


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Copyright information

© The JJIAM Publishing Committee and Springer Japan KK, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of EducationShizuoka UniversityShizuokaJapan

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