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Mathematical Problems in Engineering
Volume 2013, Article ID 715869, 9 pages
http://dx.doi.org/10.1155/2013/715869
Research Article

Optimal Portfolio of Corporate Investment and Consumption Problem under Market Closure: Inflation Case

1School of Mathematics, Shandong University, Jinan 250100, China
2School of Economics, Shandong University, Jinan 250100, China

Received 21 January 2013; Revised 24 March 2013; Accepted 22 April 2013

Academic Editor: Guangchen Wang

Copyright © 2013 Zongyuan Huang and Detao Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. R. Merton, “An equilibrium market model with incomplete information,” Journal of Finance, vol. 42, no. 3, pp. 483–510, 1987. View at Publisher · View at Google Scholar
  2. D. Duffie, Dynamic Asset Pricing Theory, Princeton University Press, Princeton, NJ, USA, 1992.
  3. I. Karatzas, “Optimization problems in the theory of continuous trading,” SIAM Journal on Control and Optimization, vol. 27, no. 6, pp. 1221–1259, 1989. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  4. J. J. Choi, “Diversification, exchange risks and corporate international investment,” Journal of International Business Studies, vol. 20, no. 1, pp. 145–155, 1989. View at Publisher · View at Google Scholar
  5. M. Bellalah and Z. Wu, “A simple model of corporate international investment under incomplete information and taxes,” Annals of Operations Research, vol. 165, no. 1, pp. 123–143, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  6. Z. Wu and L. Y. Zhang, “The corporate optimal portfolio and consumption choice problem in the real project with borrowing rate higher than deposit rate,” Applied Mathematics and Computation, vol. 175, no. 2, pp. 1596–1608, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  7. M. Bellalah and Z. Wu, “A model for market closure and international portfolio management within incomplete information,” International Journal of Theoretical and Applied Finance, vol. 5, pp. 479–495, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  8. Z. Y. Huang and Z. Wu, “One kind of corporate international optimal investment and consumption choice problem,” in Proceedings of the 27th Chinese Control Conference (CCC '08), pp. 603–606, Kunming, China, July 2008. View at Publisher · View at Google Scholar · View at Scopus
  9. D. T. Zhang and T. Zhang, “Optimal portfolio of corporate investment and consumption under market closure,” International Journal of Business, vol. 17, no. 1, pp. 25–38, 2012. View at Google Scholar
  10. J. M. Yong and X. Y. Zhou, Stochastic Controls: Hamiltonian Systems and HJB Equations, Springer, New York, NY, USA, 1999.
  11. G. Wang, Z. Wu, and J. Xiong, “Maximum principles for forward-backward stochastic control systems with correlated state and observation noises,” SIAM Journal on Control and Optimization, vol. 51, no. 1, pp. 491–524, 2013. View at Publisher · View at Google Scholar
  12. G. C. Wang and Z. Wu, “The maximum principles for stochastic recursive optimal control problems under partial information,” IEEE Transactions on Automatic Control, vol. 54, no. 6, pp. 1230–1242, 2009. View at Publisher · View at Google Scholar · View at Scopus
  13. G. C. Wang and Z. Wu, “General maximum principles for partially observed risk-sensitive optimal control problems and applications to finance,” Journal of Optimization Theory and Applications, vol. 141, no. 3, pp. 677–700, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus