@article{AIHPB_2005__41_3_559_0, author = {Jin, Hanqing and Yan, Jia-An and Zhou, Xun Yu}, title = {Continuous-time mean-risk portfolio selection}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, volume = {41}, year = {2005}, pages = {559-580}, doi = {10.1016/j.anihpb.2004.09.009}, zbl = {02191867}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPB_2005__41_3_559_0} }
Jin, Hanqing; Yan, Jia-An; Zhou, Xun Yu. Continuous-time mean-risk portfolio selection. Annales de l'I.H.P. Probabilités et statistiques, Tome 41 (2005) pp. 559-580. doi : 10.1016/j.anihpb.2004.09.009. http://gdmltest.u-ga.fr/item/AIHPB_2005__41_3_559_0/
[1] T.R. Bielecki, S.R. Pliska, H. Jin, X.Y. Zhou, Continuous-time mean-variance portfolio selection with bankruptcy prohibition, Math. Finance, in press. | MR 2132190 | Zbl 05004610
[2] Portfolio optimization under a minimax rule, Manag. Sci. 46 (2000) 957-972.
, , , ,[3] On dynamic measures of risk, Finance Stochast. 3 (1999) 451-482. | MR 1842283 | Zbl 0982.91030
, ,[4] Backward stochastic differential equations in finance, Math. Finance 7 (1997) 1-71. | MR 1434407 | Zbl 0884.90035
, , ,[5] Mathematics of Financial Markets, Springer-Verlag, New York, 1999. | MR 1674047 | Zbl 0943.91035
, ,[6] Mean-risk analysis with risk associated with below-target returns, Amer. Econ. Rev. 67 (1977) 116-126.
,[7] Quantile hedging, Finance Stochast. 3 (1999) 251-273. | MR 1842286 | Zbl 0977.91019
, ,[8] H. Jin, X.Y. Zhou, Continuous-time Markowitz's problems in an incomplete market, with constrained portfolios, Working paper, 2004.
[9] Vale at Risk: The New Benchmark for Managing Financial Risk, McGraw-Hill, New York, 2001.
,[10] Methods of Mathematical Finance, Springer-Verlag, New York, 1998. | MR 1640352 | Zbl 0941.91032
, ,[11] Optimal control of a favorable game with a time-limit, SIAM J. Contr. Optim. 31 (1993) 52-69. | MR 1200222 | Zbl 0770.90099
,[12] Mean-absolute deviation portfolio optimization model and its application to Tokyo stock market, Manag. Sci. 37 (1991) 519-531.
, ,[13] Dynamic mean-variance portfolio selection with no-shorting constraints, SIAM J. Contr. Optim. 40 (2001) 1540-1555. | MR 1882807 | Zbl 1027.91040
, , ,[14] Mean-variance portfolio selection with random parameters in a complete market, Math. Oper. Res. 27 (2002) 101-120. | MR 1886222 | Zbl 1082.91521
, ,[15] Solving forward-backward stochastic differential equations explicitly - a four step scheme, Prob. Theory Related Fields 98 (1994) 339-359. | MR 1262970 | Zbl 0794.60056
, , ,[16] Forward-Backward Stochastic Differential Equations and Their Applications, Lect. Notes in Math., vol. 1702, Springer-Verlag, New York, 1999. | MR 1704232 | Zbl 0927.60004
, ,[17] Portfolio selection, J. Finance 7 (1952) 77-91.
,[18] Portfolio Selection: Efficient Diversification of Investments, Wiley, New York, 1959. | MR 103768
,[19] A brief history of downside risk measures, J. Investing 8 (1999) 9-25.
,[20] A discrete time stochastic decision model, in: , (Eds.), Advances in Filtering and Optimal Stochastic Control, Lecture Notes in Control and Information Sci., vol. 42, Springer-Verlag, New York, 1982, pp. 290-304. | MR 794525 | Zbl 0501.90088
,[21] Convex Analysis, Princeton University Press, Princeton, 1970. | MR 274683 | Zbl 0193.18401
,[22] Downside risk, J. Portfolio Manag. 17 (1991) 27-31.
, ,[23] Markowitz revisited: mean-variance models in financial portfolio analysis, SIAM Rev. 43 (2001) 31-85. | MR 1854646 | Zbl 1049.91086
,[24] Stochastic Controls: Hamiltonian Systems and HJB Equations, Springer, New York, 1999. | MR 1696772 | Zbl 0943.93002
, ,[25] Markowitz's world in continuous-time, and beyond, in: , (Eds.), Stochastic Modeling and Optimization, Springer, New York, 2003, pp. 279-310. | MR 1963526 | Zbl 1050.91055
,[26] Continuous time mean-variance portfolio selection: a stochastic LQ framework, Appl. Math. Optim. 42 (2000) 19-33. | MR 1751306 | Zbl 0998.91023
, ,