Optimal Consumption and Portfolio Selection with Stochastic Differential Utility

Journal of Economic Theory

Volumn 89, Issue 1, 1999, Pages 68-126

  Schroder, Mark ^a   Skiadas, Costis ^b  

^a MICHIGAN STATE UNIVERSITY   (United States)

^b NORTHWESTERN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001968456     PISSN: 00220531     EISSN: None     Source Type: Journal    
DOI: 10.1006/jeth.1999.2558     Document Type: Article

References (51)

1. Antonelli F. Backward-forward stochastic differential equations. Ann. Appl. Probab. 3:1993;777-793.
2. Campbell J., Viceira L. Consumption and Portfolio Decisions when Expected Returns are Time Varying. working paper. 1998;Harvard UniversityDepartment of Economics.
3. Chew S. H., Epstein L. The structure of preferences and attitudes towards the timing of resolution of uncertainty. Int. Econ. Rev. 30:1989;103-117.
4. Chew S. H., Epstein L. Recursive utility under uncertainty. Kahn A., Yannelis N. Equilibrium Theory with an Infinite Number of Commodities. 1991;Springer-Verlag, New York.
5. Cox J., Huang C.-F. Optimal consumption and portfolio policies when asset prices follow a diffusion process. J. Econ. Theory. 49:1989;33-83.
6. Cox J., Huang C.-F. A Variational problem arising in financial economics. J. Math. Econ. 20:1991;465-487.
7. Cvitanić J. Nonlinear financial markets: hedging and portfolio optimization. Dempster, Pliska. Mathematics of Derivative Securities. 1997;Cambridge Univ. PressProc. of the Isaac Newton Institute, Cambridge.
8. Cvitanić J., Ma J. Hedging options for a large investor and forward-backward SDEs. Ann. Appl. Probab. 6:1996;370-398.
9. Dai Q., Liu J., Singleton K. Admissibility and Identification of Affine Asset Pricing Models. working paper. 1997;Stanford UniversityGSB.
10. Douglas J. Jr., Ma J., Protter P. Numerical methods for forward-backward stochastic differential equations. Ann. Appl. Probab. 6:1996;940-968.
11. Duffie D. Dynamic Asset Pricing Theory. 1996;Princeton University Press, Princeton.
12. Duffie D., Epstein L. Stochastic differential utility. Econometrica. 60:1992;353-394.
13. Duffie D., Epstein L. Asset pricing with stochastic differential utility. Rev. Finan. Stud. 5:1992;411-436.
14. Duffie D., Geoffard P.-Y., Skiadas C. Efficient and equilibrium allocations with stochastic differential utility. J. Math. Econ. 23:1994;133-146.
15. Duffie D., Kan R. A yield factor model of interest rates. Math. Finance. 6:1996;379-406.
16. Duffie D., Lions P.-L. PDE solutions of stochastic differential utility. J. Math. Econ. 21:1992;577-606.
17. Duffie D., Ma J., Yong J. Black's consol rate conjecture. Ann. Appl. Probab. 5:1995;356-382.
18. Duffie D., Schroder M., Skiadas C. Recursive valuation of defaultable securities, and the timing of resolution of uncertainty. Ann. Appl. Probab. 6:1996;1075-1090.
19. Duffie D., Schroder M., Skiadas C. A term structure model with preferences for the timing of resolution of uncertainty. Econ. Theory. 9:1997;3-22.
20. Duffie D., Skiadas C. Continuous-time security pricing: A utility gradient approach. J. Math. Econ. 23:1994;107-131.
21. Dumas B., Uppal R., Wang T. Efficient Intertemporal Allocations with Recursive Utility. working paper. 1997.
22. Karoui N. El, Peng S., Quenez M. C. Backward stochastic differential equations in finance. Math. Finance. 7:1997;1-71.
23. Epstein L. Behavior under risk: Recent developments in theory and applications. Laffont J.-J. Advances in Economic Theory: Sixth World Congress. 1992;Cambridge Univ. Press, Cambridge.
24. Epstein L., Zin. Substitution, risk aversion, and the temporal behavior of consumption and asset returns: A theoretical framework. Econometrica. 57:1989;937-969.
25. Fisher M., Gilles C. Consumption and asset Prices with Recursive Preferences. working paper. 1998;Federal Reserve Board.
26. Foldes L. Conditions for optimality in the infinite-horizon portfolio-cum-saving problem with semimartingale investments. Stochastics. 29:1990;133-171.
27. Gelb A. Applied Optimal Estimation. 1974;MIT Press, Cambridge.
28. Geoffard P.-Y. Discounting and optimizing: Capital accumulation as a variational minmax problem. J. Econ. Theory. 69:1996;53-70.
29. Giovannini A., Weil P. Risk Aversion and Intertemporal Substitution in a the Capital Asset Pricing Model. NBER working paper. 2824:1989.
30. Harrison J. M., Kreps D. Martingales and arbitrage in multiperiod securities markets. J. Econ. Theory. 20:1979;381-408.
31. Karatzas I., Lehoczky J., Shreve S. Optimal portfolio and consumption decisions for a "Small investor" on a finite horizon. SIAM J. Control Opt. 25:1987;1557-1586.
32. Karatzas I., Shreve S. Brownian Motion and Stochastic Calculus. 1988;Springer-Verlag, New York.
33. Karatzas I., Shreve S. Methods of Mathematical Finance. 1998;Springer-Verlag, New York.
34. Kim T. S., Omberg E. Dynamic nonmyopic portfolio behavior. Rev. Finan. Stud. 9:1996;141-162.
35. Kreps D., Porteus E. Temporal resolution of uncertainty and dynamic choice theory. Econometrica. 46:1978;185-200.
36. Lancaster P., Rodman L. Algebraic Riccati Equations. 1995;Oxford Univ. Press, Oxford/New York.
37. Liu J. Portfolio Selection in Stochastic Environments. working paper. 1998;Stanford University.
38. Luenberger D. Optimization by Vector Space Methods. 1969;Wiley, New York.
39. Ma J., Protter P., Yong J. Solving forward-backward stochastic differential equations explicitly - A four step scheme. Probab. Theory Relat. Fields. 98:1994;339-359.
40. Merton R. Optimum consumption and portfolio rules in a continuous-time model. J. Econ. Theory. 3:1971;373-413.
41. Merton R. Continuous Time Finance. 1990;Basil Blackwell, Oxford.
42. Obstfeld M. Risk-taking, global diversification, and growth. Amer. Econ. Rev. 84:1994;1310-1329.
43. Pardoux E., Peng S. Adapted solution of a backward stochastic differential equation. Systems Control Lett. 14:1990;55-61.
44. Pliska S. A stochastic calculus model of continuous trading: Optimal portfolios. Math. Oper. Research. 11:1986;371-382.
45. Schroder M., Skiadas C. Optimal Consumption and Portfolio Selection with Stochastic Differential Utility. Working Paper. 226:1997;KGSM, Northwestern UniversityDept. of Finance.
46. Schroder M., Skiadas C. An Isomorphism between Asset Pricing Models with and without Linear Habit Formation. Working Paper. 247:1998;KGSM, Northwestern UniversityDept. of Finance.
47. Skiadas C. Recursive utility and preferences for information. Econ. Theory. 12:1998;293-312.
48. Stokey N., Lucas R. Recursive Methods in Economic Dynamics. 1989;Harvard Univ. Press, Cambridge.
49. Svensson L. E. O. Portfolio choice with non-expected utility in continuous time. Econ. Lett. 30:1989;313-317.
50. Wachter J. Portfolio and Consumption Decisions under Mean-Reverting Returns: An Exact Solution in Complete Markets. working paper. 1999;Harvard University.
51. Weil P. Nonexpected utility in macroeconomics. Quart. J. Econ. 105:1990;29-42.