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Abstract and Applied Analysis
Volume 2014, Article ID 358623, 15 pages
http://dx.doi.org/10.1155/2014/358623
Research Article

Precommitted Investment Strategy versus Time-Consistent Investment Strategy for a General Risk Model with Diffusion

1School of Management, Tianjin University, Tianjin 300072, China
2School of Science, Tianjin University of Science and Technology, Tianjin 300457, China
3School of Science, Tianjin University, Tianjin 300072, China
4College of Economics & Management, Tianjin University of Science and Technology, Tianjin 300222, China

Received 16 February 2014; Accepted 11 March 2014; Published 9 April 2014

Academic Editor: Guanglu Zhou

Copyright © 2014 Lidong Zhang et al. 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. H. Markowitz, “Portfolio selection,” Journal of Finance, vol. 7, pp. 77–98, 1952. View at Google Scholar
  2. X. Y. Zhou and D. Li, “Continuous-time mean-variance portfolio selection: a stochastic LQ framework,” Applied Mathematics and Optimization, vol. 42, no. 1, pp. 19–33, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  3. D. Li and W.-L. Ng, “Optimal dynamic portfolio selection: multiperiod mean-variance formulation,” Mathematical Finance, vol. 10, no. 3, pp. 387–406, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  4. T. Björk and A. Murgoci, “A general theory of Markovian time inconsistent stochastic control problems,” Working Paper, Stockholm School of Economics, 2010. View at Google Scholar
  5. I. Ekeland and A. Lazrak, “Being serious about non-commitment: subgame perfect equilibrium in continuous time,” http://arxiv.org/abs/math/0604264.
  6. E. M. Kryger and M. Steffensen, “Some solvable portfolio problems with quadratic and collective objectives,” Working Paper, 2010. View at Google Scholar
  7. N. Bäuerle, “Benchmark and mean-variance problems for insurers,” Mathematical Methods of Operations Research, vol. 62, no. 1, pp. 159–165, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  8. L. Bai and H. Zhang, “Dynamic mean-variance problem with constrained risk control for the insurers,” Mathematical Methods of Operations Research, vol. 68, no. 1, pp. 181–205, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  9. Z. F. Li, Y. Zeng, and Y. Z. Lai, “Optimal time-consistent investment and reinsurance strategies for insurers under Heston's SV model,” Insurance: Mathematics & Economics, vol. 51, no. 1, pp. 191–203, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  10. Y. Zeng, Z. F. Li, and Y. Z. Lai, “Time-consistent investment and reinsurance strategies for mean-variance insurers with jumps,” Insurance: Mathematics & Economics, vol. 52, no. 3, pp. 498–507, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  11. W. H. Fleming and H. M. Soner, Controlled Markov Processes and Viscosity Solutions, Springer, New York, NY, USA, 2006.