Mean-Variance Portfolio Selection with Random Parameters in a Complete Market
Published Online:1 Feb 2002https://doi.org/10.1287/moor.27.1.101.337
References
- Linear quadratic optimal stochastic control with random coefficients. SIAM J. Control Optim. (1976) 36:419–414Crossref, Google Scholar
- Stochastic linear quadratic regulators with indefinite control weight costs. SIAM J. Control Optim. (1998) 36:1685–1702Crossref, Google Scholar
- Stochastic linear quadratic optimal control problems with random coefficients. Chinese Ann. Math. Ser. B (2000) 21:323–338Crossref, Google Scholar
- Optimal consumption and portfolio policies when asset prices follow a diffusion process. J. Econom. Theory (1989) 49:33–83Crossref, Google Scholar
- A variational problem arising in financial economics. J. Math. Econom. (1991) 20:465–487Crossref, Google Scholar
- Convex duality is constrained portfolio optimization. Ann. Appl. Prob. (1992) 2:767–818Crossref, Google Scholar
- Optimal hedging and equilibrium in a dynamic futures market. J. Econom. Dynam. Control (1990) 14:21–33Crossref, Google Scholar
- Mean-variance hedging in continuous time. Ann. Appl. Probab. (1991) 1:1–15Crossref, Google Scholar
- Backward stochastic differential equations in finance. Math. Finance (1997) 7:1–71Crossref, Google Scholar
- , Mas-Colell A., Hildenbrand W. Hedging of non-redundant contingent claims. Contributions to Mathematical Economics (1986) (North-Holland, Amsterdam, The Netherlands) 205–233Google Scholar
- Optimal portfolio and consumption decisions for a “small investor” on a finite horizon. SIAM J. Control Optim. (1987) 25:1557–1586Crossref, Google Scholar
- Brownian Motion and Stochastic Calculus (1988) (Springer-Verlag, New York) Crossref, Google Scholar
- Optimal control of linear stochastic systems with singular costs, and the meanvariance hedging problem with stochastic market conditions. (2000) . Working paper, Faculty for Mathematics and Information, University of Konstanz, Konstanz, GermanyGoogle Scholar
- Relationship between backward stochastic differential equations and stochastic controls: A linear-quadratic approach. SIAM J. Control Optim. (2000) 38:1392–1407Crossref, Google Scholar
- Optimal Portfolios: Stochastic Models for Optimal Investment and Risk Management in Continuous Time (1997) (World Scientific, Singapore) Google Scholar
- Optimal dynamic portfolio selection: Multi-period mean-variance formulation. Math. Finance (2000) 10:387–406Crossref, Google Scholar
- Quadratic hedging and mean-variance portfolio selection with random parameters in an incomplete market. (2001) . Working paper, Department of Industrial Engineering and Operations Research, Columbia University, New YorkGoogle Scholar
- Optimal stochastic LQR control with integral quadratic constraints and indefinite control weights. IEEE Trans. Automatic Control (1999) 44(7):1359–1369Crossref, Google Scholar
- Optimization by Vector Space Methods (1968) (John Wiley, New York) Google Scholar
- Investment Science (1998) (Oxford University Press, New York) Google Scholar
- Forward-Backward Stochastic Differential Equations and Their Applications (1999) 1702(Springer, New York) Lect. Notes Math.Google Scholar
- Portfolio selection. J. Finance (1952) 7:77–91Google Scholar
- Portfolio Selection: Efficient Diversification of Investment (1959) (John Wiley & Sons, New York) Google Scholar
- An analytic derivation of the efficient frontier. J. Finance Quant. Anal. (1972) 7:1851–1872Crossref, Google Scholar
- Adapted solution of backward stochastic equation. Systems Control Lett. (1990) 14:55–61Crossref, Google Scholar
- Stochastic Hamilton-Jacobi-Bellman equations. SIAM J. Control Optim. (1992) 30:284–304Crossref, Google Scholar
- Large-scale portfolio optimization. Management Sci. (1984) 30:1143–1160Link, Google Scholar
- Capital asset prices: A theory of market equilibrium under conditions of risk. J. Finance (1964) 19:425–442Google Scholar
- Liquidity preference as behavior toward risk. Rev. Econom. Stud. (1958) 26:65–86Crossref, Google Scholar
- Stochastic Controls: Hamiltonian Systems and HJB Equations (1999) (Springer, New York) Crossref, Google Scholar
- Mean-variance versus expected utility in dynamic investment analysis. (2000) . Working paper, Faculty of Commerce and Business Administration, University of British Columbia, Columbia, Vancouver, CanadaGoogle Scholar
- Continuous-time mean-variance portfolio selection: A stochastic LQ framework. Appl. Math. Optim. (2000) 42:19–33Crossref, Google Scholar

