Optimality of myopic strategies for multi-stock discrete time market with management costs

The paper studies multi-stock discrete time market models with serial correlations and with some management costs. We found a market structure that ensures that the optimal strategy is myopic for the case of either power or log utility function.

[1]  R. C. Merton,et al.  Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case , 1969 .

[2]  P. Kupiec,et al.  Noise traders, excess volatility, and a securities transactions tax , 1996 .

[3]  I. Gihman,et al.  Controlled Stochastic Processes , 1979 .

[4]  A Bounded Risk Strategy for A Market with Non-Observable Parameters , 2002 .

[5]  F. Black,et al.  The Valuation of Option Contracts and a Test of Market Efficiency , 1972 .

[6]  Duan Li,et al.  Optimal Dynamic Portfolio Selection: Multiperiod Mean‐Variance Formulation , 2000 .

[7]  The pricing of options in a financial market model with transaction costs and uncertain volatility , 1998 .

[8]  S. Shreve,et al.  Methods of Mathematical Finance , 2010 .

[9]  Michael J. Klass,et al.  A Diffusion Model for Optimal Portfolio Selection in the Presence of Brokerage Fees , 1988, Math. Oper. Res..

[10]  Keith V. Smith,et al.  A TRANSITION MODEL FOR PORTFOLIO REVISION , 1967 .

[11]  N. H. Hakansson. ON OPTIMAL MYOPIC PORTFOLIO POLICIES, WITH AND WITHOUT SERIAL CORRELATION OF YIELDS , 1971 .

[12]  Ralf Östermark,et al.  Vector forecasting and dynamic portfolio selection: Empirical efficiency of recursive multiperiod strategies , 1991 .

[13]  Edwin J. Elton,et al.  On the Optimality of Some Multiperiod Portfolio Selection Criteria , 1974 .

[14]  Sanford J. Grossman,et al.  Equilibrium Analysis of Portfolio Insurance , 1996 .

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

[16]  J. C. Francis Investments: Analysis and Management , 1991 .

[17]  DYNAMIC PORTFOLIO THEORY , 1969 .

[18]  Optimal portfolio selection and compression in an incomplete market , 2001, math/0207260.

[19]  N. Dokuchaev Dynamic portfolio strategies : quantitative methods and empirical rules for incomplete information , 2002 .

[20]  N. H. Hakansson.,et al.  On the use of mean-variance and quadratic approximations in implementing dynamic investment strategies: a comparison of returns and investment policies , 1993 .

[21]  N. H. Hakansson. MULTI-PERIOD MEAN-VARIANCE ANALYSIS: TOWARD A GENERAL THEORY OF PORTFOLIO CHOICE* , 1971 .

[22]  Edwin J. Elton,et al.  Finance as a dynamic process , 1974 .

[23]  P. Samuelson Lifetime Portfolio Selection by Dynamic Stochastic Programming , 1969 .

[24]  A. R. Norman,et al.  Portfolio Selection with Transaction Costs , 1990, Math. Oper. Res..

[25]  I. V. Evstigneev,et al.  Regular Conditional Expectations of Correspondences , 1977 .

[26]  Nikolai Dokuchaev,et al.  Discrete time market with serial correlations and optimal myopic strategies , 2007, Eur. J. Oper. Res..

[27]  S. Pliska Introduction to Mathematical Finance: Discrete Time Models , 1997 .

[28]  J. Mossin Optimal multiperiod portfolio policies , 1968 .

[29]  R. L. Winkler,et al.  A BAYESIAN MODEL FOR PORTFOLIO SELECTION AND REVISION , 1975 .

[30]  R. Uppal,et al.  Optimal Replication of Options with Transactions Costs and Trading Restrictions , 1993, Journal of Financial and Quantitative Analysis.

[31]  Stanley Zionts,et al.  The Optimal Portfolio Revision Policy , 1971 .

[32]  B. Dumas,et al.  An Exact Solution to a Dynamic Portfolio Choice Problem under Transactions Costs , 1991 .