Optimal Consumption and Investment with Transaction Costs and Multiple Risky Assets

Journal of Finance

Volumn 59, Issue 1, 2004, Pages 289-338

  Liu, Hong ^a  

^a WASHINGTON UNIVERSITY IN ST LOUIS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1642387320     PISSN: 00221082     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1540-6261.2004.00634.x     Document Type: Article

References (42)

1. Admati, Anat R., and Paul C. Pfleiderer, 1988, A theory of intraday patterns: Volume and price variability, Review of Financial Studies 1, 3-40.
2. Akian, Marianne, Jose Luis Menaldi, and Agnes Sulem, 1996, On an investment-consumption model with transaction costs, SIAM Journal of Control and Optimization 34, 329-364.
3. Barberis, Nicholas, 2000, Investing for the long run when returns are predictable, Journal of Finance 55, 225-264.
4. Bielecki, Tomasz R., and Stanley R. Pliska, 2000, Risk sensitive asset management with transaction costs, Finance Stochastics 4, 1-33.
5. Brekke, Kjell A., and Bernt Øksendal, 1998, A verification theorem for combined stochastic control and impulse control, in J. Gjerde, L. Decreusefond, B. Øksendal, and A. S. Üstunel, eds. Stochastic Analysis and Related Topics 6 (Birkhäuser, Boston, MA).
6. Cadenillas, Abel, and Fernando Zapatero, 1999, Optimal central bank intervention in the foreign exchange market, Journal of Economic Theory 87, 218-242.
7. Cheb-Terrab, Edgardo S., and Austin D. Roche, 1999, An Abel ODE class generalizing known integrable classes, Working paper, University of Waterloo.
8. Constantinides, George M., 1976, Stochastic cash management with fixed and proportional transaction costs, Management Science 22, 1320-1331.
9. Constantinides, George M., 1986, Capital market equilibrium with transaction costs, Journal of Political Economy 94, 842-862.
10. Constantinides, George M., and Scott F. Richard, 1978, Existence of optimal simple policies for discounted-cost inventory and cash management in continuous time, Operations Research 26, 620-636.
11. Cox, John C., and Chi-fu Huang, 1989, Optimal consumption and portfolio policies when asset prices follow a diffusion process, Journal of Economic Theory 49, 33-83.
12. Cuoco, Domenico, and Hong Liu, 2000, Optimal consumption of a divisible durable good, Journal of Economic Dynamics and Control 24, 561-613.
13. Davis, M. H. A., and A. R. Norman, 1990, Portfolio selection with transaction costs, Mathematics of Operations Research 15, 676-713.
14. Deelstra, Griselda, Huy Pham, and Nizar Touzi, 2001, Dual formulation of the utility maximization problem under transaction costs, Annals of Applied Probability 11, 1353-1383.
15. Duffie, Darrell, and Tong-Sheng Sun, 1990, Transaction costs and portfolio choice in a discrete-continuous time setting, Journal of Economic Dynamics and Control 14, 35-51.
16. Dumas, Bernard, 1991, Super contact and related optimality conditions, Journal of Economic Dynamics and Control 4, 675-685.
17. Dumas, Bernard, and Elisa Luciano, 1991, An exact solution to a dynamic portfolio choice problem under transaction costs, Journal of Finance 46, 577-595.
18. Eastham, Jerome F., and Kevin J. Hastings, 1988, Optimal impulse control of portfolios, Mathematics of Operation Research 13, 588-605.
19. Fleming, Wendell H., and H. Mete Soner, 1993, Controlled Markov Processes and Viscosity Solutions (Springer-Verlag, New York).
20. Grossman, Sanford J., and Guy Laroque, 1990, Asset pricing and optimal portfolio choice in the presence of illiquid durable consumption goods, Econometrica 58, 23-51.
21. Hartman, Philip, 1964, Ordinary Differential Equations (John Wiley & Sons, New York).
22. Ibbotson, Roger G., and Rex A. Sinquefeld, 1982, Stocks, Bonds, Bills and Inflation: The Past and the Future (Financial Research Analyst's Foundation, Charlottesville).
23. Judd, Kenneth L., 1999, Numerical Methods in Economics (MIT Press, Cambridge, MA).
24. Kandel, Shmuel, and Robert F. Stambaugh, 1996, On the predictability of stock returns: An asset-allocation perspective, Journal of Finance 51, 385-424.
25. Karatzas, Ioannis, and Steven E. Shreve, 1988, Brownian Motion and Stochastic Calculus (Springer-Verlag, New York).
26. Karlin, Samuel, and Howard M. Taylor, 1981, A Second Course in Stochastic Process (Academic Press, New York).
27. Korn, Ralf, 1997, Optimal impulse control when control actions have random consequences, Mathematics of Operations Research 22, 639-667.
28. Korn, Ralf, 1998, Portfolio optimization with strictly positive transaction costs and impulse controls, Finance and Stochastics 2, 85-114.
29. Leland, Hayne, 2000, Optimal portfolio implementation with transactions costs and capital gains taxes, Working paper, University of California at Berkeley.
30. Liu, Hong, and Mark Loewenstein, 2002, Optimal portfolio selection with transaction costs and finite horizons, Review of Financial Studies 15, 805-835.
31. Lo, Andrew W., Harry Mamaysky, and Jiang Wang, 2001, Asset prices and trading volume under fixed transaction costs, Working paper, MIT.
32. Lynch, Anthony W., and Sinan Tan, 2002, Multiple risky assets, transaction costs and return predictability: Implications for portfolio choice, Working paper, New York University.
33. Merton, Robert C., 1971, Optimum consumption and portfolio rules in a continuous time model, Journal of Economic Theory 3, 373-413.
34. Morton, Andrew J., and Stanley R. Pliska, 1995, Optimal portfolio management with fixed transaction costs, Mathematical Finance 5, 337-356.
35. Øksendal, Bernt, and Agnes Sulem, 1999, Optimal consumption and portfolio with both fixed and proportional transaction costs, Working paper, Department of Mathematics, University of Oslo.
36. Rogers, L. C. G., and David Williams, 2000, Diffusions, Markov Processes and Martingales, Volume 2: Itô Calculus (Cambridge University Press, Cambridge).
37. Schroder, Mark, 1995, Optimal portfolio selection with fixed transaction costs: Numerical solutions, Working paper, Michigan State University.
38. Shreve, Steven E., and H. Mete Soner, 1994, Optimal investment and consumption with transaction costs, Annals of Applied Probability 4, 609-692.
39. Vayanos, Dimitri, 1998, Transaction costs and asset prices: A dynamic equilibrium model, Review of Financial Studies 11, 1-58.
40. Wang, Jiang, 1994, A model of competitive stock trading volume, Journal of Political Economy 102, 127-168.
41. Williams, David, 1994, Probability with Martingales (Cambridge University Press, Cambridge, MA).
42. Xia, Yihong, 2001, Learning about predictability: The effects of parameter uncertainty on dynamic asset allocation, Journal of Finance 56, 205-246.