Stochastic optimization applied to self-financing portfolio: does bequest matter?
AbstractThe article studies stochastic optimization of an intertemporal consumption model to allocate financial assets between risky and risk-free assets. We use a stochastic optimization technique, in which utility is maximized subject to a self-financing portfolio constraint. The papers in literature have estimated the errors of Euler equations using data from financial markets. It has been shown that it is sufficient to test the first order Euler equation implied by the model. However, they all assume a constant consumption-wealth ratio that constrains the boundary conditions, hence influencing the coefficient of the risk premium. The main contribution of our article is that we drop the assumption of a constant consumption-wealth ratio. We have an analytical solution using a utility maximization model with a stochastic self-financing portfolio. We introduce a terminal condition of wealth with and without bequests. We also simulate the stochastic optimization with a self-financing portfolio, distinguishing risk neutral investors (γ-low) from high risk averse investors (γ-high). We show that the model with bequest has a higher level of wealth and a smoother decline of consumption over time than the model with no bequest at the end of the period. The model with no bequest has the same level of consumption and a sharp fall at the end of the period. Risk averse agents with high return assets have a higher amount of wealth than risk-neutral agents with lower return assets.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Taylor & Francis Journals in its journal Applied Economics.
Volume (Year): 42 (2010)
Issue (Month): 30 ()
Contact details of provider:
Web page: http://www.tandfonline.com/RAEC20
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Naik, Vasanttilak & Lee, Moon, 1990. "General Equilibrium Pricing of Options on the Market Portfolio with Discontinuous Returns," Review of Financial Studies, Society for Financial Studies, vol. 3(4), pages 493-521.
- Kocherlakota, Narayana R, 1990. " Disentangling the Coefficient of Relative Risk Aversion from the Elasticity of Intertemporal Substitution: An Irrelevance Result," Journal of Finance, American Finance Association, vol. 45(1), pages 175-90, March.
- Sydney C. Ludvigson & Martin Lettau, 2005.
"Euler Equation Errors,"
2005 Meeting Papers
487, Society for Economic Dynamics.
- Lettau, Martin & Ludvigson, Sydney, 2005. "Euler Equation Errors," CEPR Discussion Papers 4922, C.E.P.R. Discussion Papers.
- Martin Lettau & Sydney C. Ludvigson, 2005. "Euler Equation Errors," NBER Working Papers 11606, National Bureau of Economic Research, Inc.
- Lettau, Martin & Ludvigson, Sydney, 2005. "Euler Equation Errors," CEPR Discussion Papers 5245, C.E.P.R. Discussion Papers.
- John Y. Campbell, 1992.
"Intertemporal Asset Pricing Without Consumption Data,"
NBER Working Papers
3989, National Bureau of Economic Research, Inc.
- Campbell, John Y, 1993. "Intertemporal Asset Pricing without Consumption Data," American Economic Review, American Economic Association, vol. 83(3), pages 487-512, June.
- Campbell, John, 1993. "Intertemporal Asset Pricing Without Consumption Data," Scholarly Articles 3221491, Harvard University Department of Economics.
- R. C. Merton, 1970.
"Optimum Consumption and Portfolio Rules in a Continuous-time Model,"
58, Massachusetts Institute of Technology (MIT), Department of Economics.
- Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
- Selden, Larry, 1978. "A New Representation of Preferences over "Certain A Uncertain" Consumption Pairs: The "Ordinal Certainty Equivalent" Hypothesis," Econometrica, Econometric Society, vol. 46(5), pages 1045-60, September.
- Epstein, Larry G & Zin, Stanley E, 1989. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework," Econometrica, Econometric Society, vol. 57(4), pages 937-69, July.
- Christopher D. Carroll, 1996.
"Buffer-Stock Saving and the Life Cycle/Permanent Income Hypothesis,"
NBER Working Papers
5788, National Bureau of Economic Research, Inc.
- Carroll, Christopher D, 1997. "Buffer-Stock Saving and the Life Cycle/Permanent Income Hypothesis," The Quarterly Journal of Economics, MIT Press, vol. 112(1), pages 1-55, February.
- Christopher D Carroll, 1990. "Buffer-Stock Saving and the Life Cycle/Permanent Income Hypothesis," Economics Working Paper Archive 371, The Johns Hopkins University,Department of Economics, revised Aug 1996.
- Martin Lettau, 2000. "Cross-variable restrictions in Euler equations and risk premia," Applied Economics Letters, Taylor & Francis Journals, vol. 7(2), pages 99-101.
- John Y. Campbell & John H. Cochrane, 1994.
"By Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior,"
CRSP working papers
412, Center for Research in Security Prices, Graduate School of Business, University of Chicago.
- John Y. Campbell & John H. Cochrane, 1994. "By force of habit: a consumption-based explanation of aggregate stock market behavior," Working Papers 94-17, Federal Reserve Bank of Philadelphia.
- John Y. Campbell & John H. Cochrane, 1995. "By Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," NBER Working Papers 4995, National Bureau of Economic Research, Inc.
- Cochrane, John H. & Campbell, John, 1999. "By Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," Scholarly Articles 3119444, Harvard University Department of Economics.
- Gurdip S. Bakshi & Zhiwu Chen, 1996. "The Spirit of Capitalism and Stock-Market Prices," CEMA Working Papers 511, China Economics and Management Academy, Central University of Finance and Economics.
- Epstein, Larry G & Zin, Stanley E, 1991. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: An Empirical Analysis," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 263-86, April.
- Eckhard Platen, 2001. "Arbitrage in Continuous Complete Markets," Research Paper Series 72, Quantitative Finance Research Centre, University of Technology, Sydney.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Michael McNulty).
If references are entirely missing, you can add them using this form.