Publication Cover
Stochastics
An International Journal of Probability and Stochastic Processes
Volume 85, 2013 - Issue 4: Taksar Memorial Issue
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Original Articles

Deterministic mean-variance-optimal consumption and investment

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Pages 620-636 | Received 27 Feb 2013, Accepted 30 Apr 2013, Published online: 18 Jun 2013

References

  • Basak , S. and Chabakauri , G. 2010 . Dynamic mean-variance asset allocation . Rev. Financ. , 23 : 2970 – 3016 .
  • Bertsekas , D.P. 1995 . Dynamic programming and optimal control , Vol. I , Athena Scientific, Belmont, MA .
  • Björk , T. , Murgoci , A. and Zhou , X. Mean–variance portfolio optimization with state dependent risk aversion . preprint (2013), to appear in Math. Financ. , Available at http://people.maths.ox.ac.uk/zhouxy/article.htm
  • Cairns , A.J.G. 2000 . Some notes on the dynamics and optimal control of stochastic pension fund models in continuous time . ASTIN Bull. , 30 ( 1 ) : 19 – 55 .
  • Geering , H.P. , Herzog , F. and Dondi , G. 2010 . “ Stochastic optimal control with applications in financial engineering ” . In Optimization and Optimal Control: Theory and Applications , Edited by: Chinchuluun , A. , Pardalos , P.M. , Enkhbat , R. and Tseveendorj , I. 375 – 408 . Berlin : Springer .
  • Herzog , F. , Dondi , G. and Geering , H.P. 2007 . Stochastic model predictive control and portfolio optimization . Int. J. Theor. Appl. Financ. , 10 ( 2 ) : 231 – 244 .
  • Korn , R. and Trautmann , S. 1995 . Continuous-time portfolio optimization under terminal wealth constraints . Z. Oper. Res. , 42 ( 1 ) : 69 – 92 .
  • Korn , R. 1997 . Some applications of L2-hedging with a non-negative wealth process . Appl. Math. Financ. , 4 ( 1 ) : 64 – 79 .
  • Korn , R. 1997 . Optimal Portfolios , World Scientific, Singapore .
  • M.T. Kronborg and M. Steffensen, Inconsistent investment and consumption problems, (2011). Available at http://ssrn.com/abstract = 1794174
  • E.M. Kryger and M. Steffensen, Some solvable portfolio problems with quadratic and collective objectives, (2010). Available at http://ssrn.com/abstract = 1577265
  • Markowitz , H.M. 1952 . Portfolio selection . J. Financ. , 7 ( 1 ) : 77 – 91 .
  • Zhou , X. and Li , D. 2000 . Continuous-time mean-variance portfolio selection: A stochastic LQ framework . Appl. Math. Optim. , 42 : 19 – 33 .

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