Uncertainty about Input Data in Portfolio Management

Selected techniques suitable for postoptimality and sensitivity analysis for the optimal value of portfolio management problems based on incompletely known input data are presented. The discussed problems involve Markowitz mean-variance model with estimated expected returns (Section 2), the effect of inclusion of additional scenarios in bond management problems (Section 3) and a treatment of incomplete knowledge of liabilities (Section 4).

[1]  Jeremy F. Shapiro,et al.  Stochastic programming models for dedicated portfolio selection , 1988 .

[2]  Robert J. Vanderbei,et al.  Robust Optimization of Large-Scale Systems , 1995, Oper. Res..

[3]  Michael R. Asay,et al.  Financial optimization: An economic approach to valuation of single premium deferred annuities , 1993 .

[4]  S. Zenios,et al.  Constructing Optimal Samples from a Binomial Lattice , 1993 .

[5]  Stavros A. Zenios,et al.  Financial Simulations On a Massively Parallel Connection Machine , 1991, Int. J. High Perform. Comput. Appl..

[6]  Jitka Dupacová,et al.  Postoptimality for multistage stochastic linear programs , 1995, Ann. Oper. Res..

[7]  S. Bradley,et al.  A Dynamic Model for Bond Portfolio Management , 1972 .

[8]  Stavros A. Zenios,et al.  Integrated Simulation and Optimization Models for Tracking Indices of Fixed-Income Securities , 1994, Oper. Res..

[9]  W. Ziemba,et al.  The Russell-Yasuda Kasai Model: An Asset/Liability Model for a Japanese Insurance Company Using Multistage Stochastic Programming , 1994 .

[10]  J. Mulvey,et al.  Stochastic network programming for financial planning problems , 1992 .

[11]  Jürgen Guddat,et al.  Stability in convex quadratic parametric programming , 1976 .

[12]  Jitka Dupacová,et al.  Stability in stochastic programming with recourse-estimated parameters , 1984, Math. Program..

[13]  Dyneley Hussey,et al.  Annals of Opera , 1943 .

[14]  A. Stuart,et al.  Portfolio Selection: Efficient Diversification of Investments , 1959 .

[15]  J. Henry,et al.  System Modelling and Optimization: Proceedings of the 16th IFIP-TC7 Conference, Compiègne, France, July 5-9, 1993 , 1994, System Modelling and Optimization.

[16]  F. Black,et al.  A One-Factor Model of Interest Rates and Its Application to Treasury Bond Options , 1990 .

[17]  Ron S. Dembo.  Financial optimization: Scenario immunization , 1993 .

[18]  Anne Lohrli.  Chapman and Hall , 1985 .

[19]  Stavros A. Zenios,et al.  Some financial optimization models: I Risk management , 1993 .

[20]  Stavros A. Zenios,et al.  Complete prepayment models for mortgage-backed securities , 1992 .

[21]  W. Ziemba,et al.  The Effect of Errors in Means, Variances, and Covariances on Optimal Portfolio Choice , 1993 .

[22]  Sang Bin Lee,et al.  Term Structure Movements and Pricing Interest Rate Contingent Claims , 1986 .

[23]  William T. Ziemba,et al.  A Bank Asset and Liability Management Model , 1986, Oper. Res..

[24]  S. Ross,et al.  A theory of the term structure of interest rates'', Econometrica 53, 385-407 , 1985 .

[25]  T. Huoponen.  Stochastic Optimization of a Multi-currency Bond Portfolio , 1994 .

[26]  Diethard Klatte,et al.  On Procedures for Analysing Parametric Optimization Problems , 1982 .

[27]  Jonathan Eckstein,et al.  Stochastic dedication: designing fixed income portfolios using massively parallel Benders decomposition , 1993 .

[28]  Stavros A. Zenios,et al.  A stochastic programming model for funding single premium deferred annuities , 1996, Math. Program..

[29]  A. Madansky.  Inequalities for Stochastic Linear Programming Problems , 1960 .

[30]  S. Zenios,et al.  Capturing the Correlations of Fixed-income Instruments , 1994 .

[31]  E. Gol′šteĭn,et al.  Theory of Convex Programming , 1972 .

[32]  Martin R. Holmer,et al.  A stochastic programming model for money management , 1995 .

[33]  Marida Bertocchi,et al.  Management of bond portfolios via stochastic programming — postoptimality and sensitivity analysis , 1996 .

[34]  J. P. C. Blanc.  The Power-Series Algorithm Applied to the Shortest-Queue Model , 1992, Oper. Res..

[35]  M. Best,et al.  Sensitivity Analysis for Mean-Variance Portfolio Problems , 1991 .