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Optimal Consumption and Portfolio Strategies in a Discrete-Time Model with Summary-Dependent Preferences

Published online by Cambridge University Press:  06 April 2009

Samuel E. Bodily  and
Chelsea C. White
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Extract

This paper investigates optimal consumption and portfolio mixture for a new discrete-time, discrete-state preference model. In this model, the investor's preferences for future consumption depend on current wealth and on past consumption experience through a summary descriptor of past consumption. Relations between the optimal consumption/investment decisions and the wealth and summary descriptor states are found.

Type
Research Article
Information
Journal of Financial and Quantitative Analysis , Volume 17 , Issue 1 , March 1982 , pp. 1 - 14
Copyright
Copyright © School of Business Administration, University of Washington 1982

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References

REFERENCES

[1]Bodily, S. E., and White, C. C.. “Optimal Consumption and Portfolio Strategies with Summary-Dependent Preferences.” Charlottesville, VA: University of Virginia, DSWP–79–21, Darden School of Business (1979).Google Scholar
[2]Fishburn, P. C. “Mean-Risk Analysis with Risk Associated with Below-Target Returns.” The American Economic Review (03 1977), p. 116.Google Scholar
[3]Keeney, R. L., and Raiffa, H.. Decisions with Multiple Objectives: Preferences and Value Tradeoffs. New York: John Wiley & Sons, Inc. (1976).Google Scholar
[4]Kreps, D. M. “Decision Problems with Expected Utility Criteria, II: Stationarity.” Mathematics of Operations Research (08 1977), p. 266.CrossRefGoogle Scholar
[5]Kreps, D. M. “Markov Decision Problems with Expected Utility Criterion.” Stanford, CA: Stanford University, Tech. Rep. #29, Dept. of Opns. Res. (1975).Google Scholar
[6]Kreps, D. M., and Porteus, E. L.. “On the Optimality of Structured Policies in Countable Stage Decision Processes, II: Positive and Negative Problems.” SIAM Journal of Applied Mathematics (03 1977), p. 457.CrossRefGoogle Scholar
[7]Merton, R. C. “Optimum Consumption and Portfolio Rules in a Continuous-Time Model.” Journal of Economic Theory, No. 4 (1971), p. 373.CrossRefGoogle Scholar
[8]Merton, R. C. “Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case.” Review of Economics and Statistics (08 1969), p. 247.CrossRefGoogle Scholar
[9]Meyer, R. F. “Preferences over Time.” In Decisions with Multiple Objectives: Preferences and Value Tradeoffs, Ch. 9, Keeney, & Raiffa, , eds. (1976), p. 473.Google Scholar
[10]Mossin, J. “Optimal Multiperiod Portfolio Policies.” Journal of Business of the University of Chicago (04 1968), p. 215.Google Scholar
[11]Porteus, E. L. “OntheOptimality of Structured Policies in Countable Stage Decision Processes.” Management Science, Vol. 22 (1975), p. 148.CrossRefGoogle Scholar
[12]Rubenstein, M. “The Strong Case fortheGeneralized Logarithmic Utility Model as the Premier Model of Financial Markets.” Journal of Finance (05 1976), p. 551.CrossRefGoogle Scholar
[13]Samuelson, P. A. “Lifetime Portfolio Selection by Dynamic Stochastic Programming.” Review of Economics and Statistics (08 1969), p. 239.CrossRefGoogle Scholar
[14]Topkis, D. M. “Minimizing a Submodular Function on a Lattice.” Operations Research (03–04 1978), p. 305.CrossRefGoogle Scholar
[15]Topkis, D. M. “Ordered Optimal Solutions.” Doctoral Dissertation, Stanford University (1968).Google Scholar
[16]Twentieth Century Fund Task Force on College and University Endowment Policy, Funds for the Future. New York: McGraw-Hill (1975).Google Scholar
[17]White, C. C. “The Optimality of Isotone Strategies for Markov-Decision Problems with Utility Criterion.” In Recent Developments in Markov Decision Process, Hartley, R., Thomas, L. C., and White, D. J., eds. London: Academic Press (1980).Google Scholar