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Life-Cycle Asset Allocation with Ambiguity Aversion and Learning

Published online by Cambridge University Press:  08 October 2018

Kim Peijnenburg
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Abstract

Ambiguity and learning about the equity premium can simultaneously explain the low fraction of financial wealth allocated to stocks over the life cycle and the stock market participation puzzle. Individuals are ambiguous about the size of the equity premium and are averse to this ambiguity, resulting in lower stock allocations over the life cycle, consistent with the data. As agents get older, they learn about the equity premium and increase their allocation to stocks. Furthermore, I find that ambiguity leads to underdiversification, home bias, lower Sharpe ratios, and higher savings. Similar results cannot be obtained by assuming higher risk aversion.

Type
Research Article
Information
Journal of Financial and Quantitative Analysis , Volume 53 , Issue 5 , October 2018 , pp. 1963 - 1994
Copyright
Copyright © Michael G. Foster School of Business, University of Washington 2018 

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Footnotes

1

I thank Johannes Binswanger, Stephen Brown (the editor), Laurent Calvet (the referee), Katie Carman, Meltem Daysal, Joost Driessen, Thijs van der Heijden, Luigi Iovino, Frank de Jong, Ralph Koijen, Bertrand Melenberg, Olivia Mitchell, Theo Nijman, Paolo Porchia, Lisanne Sanders, Kent Smetters, Peter Snoeren, Arthur van Soest, Stefan Trautmann, Raman Uppal, Bas Werker, and seminar participants at the 2012 American Economic Association, BI Norwegian School of Management, Bocconi University, Catolica Lisbon, Copenhagen Business School, Erasmus University, IE University, Maastricht University, Melbourne University, Stockholm School of Economics, Tilburg Institute for Behavioral Economics Research conference, Tilburg Center of Finance conference, Tilburg University, University of Geneva, and Vrije Universiteit Amsterdam for helpful comments and suggestions. Part of this research was conducted while I was visiting the University of Pennsylvania, and I am grateful for their hospitality. I acknowledge financial support by All Pensions Group.

References

Benzoni, L.; Collin-Dufresne, P.; and Goldstein, R.. “Portfolio Choice over the Life-Cycle When the Stock and Labor Market Are Cointegrated.” Journal of Finance, 62 (2007), 2123–2167.Google Scholar
Boyle, P.; Garlappi, L.; Uppal, R.; and Wang, T.. “Keynes Meets Markowitz: The Tradeoff between Familiarity and Diversification.” Management Science, 58 (2012), 253–272.Google Scholar
Brandt, M.; Goyal, A.; Santa-Clara, P.; and Stroud, J.. “A Simulation Approach to Dynamic Portfolio Choice with an Application to Learning About Return Predictability.” Review of Financial Studies, 18 (2005), 831–873.Google Scholar
Branger, N.; Larsen, L. S.; and Munk, C.. “Robust Portfolio Choice with Ambiguity and Learning About Return Predictability.” Journal of Banking and Finance, 37 (2013), 1397–1411.Google Scholar
Brennan, M.“The Role of Learning in Dynamic Portfolio Decisions.” European Finance Review, 1 (1998), 295–306.Google Scholar
Calvet, L. E.; Campbell, J. Y.; and Sodini, P.. “Down or Out: Assessing the Welfare Costs of Household Investment Mistakes.” Journal of Political Economy, 115 (2007), 707–747.Google Scholar
Calvet, L. E.; Campbell, J. Y.; and Sodini, P.. “Measuring the Financial Sophistication of Households.” American Economic Review, 99 (2009), 393–398.Google Scholar
Campanale, C.“Learning, Ambiguity, and Life-Cycle Portfolio Allocation.” Review of Economic Dynamics, 14 (2011), 339–367.Google Scholar
Cao, H.; Wang, T.; and Zhang, H.. “Model Uncertainty, Limited Market Participation, and Asset Prices.” Review of Financial Studies, 18 (2005), 1219–1251.Google Scholar
Carroll, C.“The Method of Endogenous Gridpoints for Solving Dynamic Stochastic Optimization Problems.” Economics Letters, 91 (2006), 312–320.Google Scholar
Chateauneuf, A.; Eichberger, J.; and Grant, S.. “Choice under Uncertainty with the Best and Worst in Mind: Neo-Additive Capacities.” Journal of Economic Theory, 137 (2007), 538–567.Google Scholar
Cocco, J.; Gomes, F.; and Maenhout, P.. “Consumption and Portfolio Choice over the Life Cycle.” Review of Financial Studies, 18 (2005), 491–533.Google Scholar
Cvitanic, J.; Lazrak, A.; Martellini, L.; and Zapatero, F.. “Dynamic Portfolio Choice with Parameter Uncertainty and the Economic Value of Analysts’ Recommendations.” Review of Financial Studies, 19 (2006), 1113–1156.Google Scholar
Dimmock, S.; Kouwenberg, R.; Mitchell, O.; and Peijnenburg, K.. “Estimating Ambiguity Preferences and Perceptions in Multiple Prior Models: Evidence from the Field.” Journal of Risk and Uncertainty, 51 (2015), 219–244.Google Scholar
Dimmock, S.; Kouwenberg, R.; Mitchell, O.; and Peijnenburg, K.. “Ambiguity Aversion and Household Portfolio Choice Puzzles: Empirical Evidence.” Journal of Financial Economics, 119 (2016), 559–577.Google Scholar
Dow, J.; Ribeiro, S.; and Werlang, C.. “Uncertainty Aversion, Risk Aversion, and the Optimal Choice of Portfolio.” Econometrica, 60 (1992), 197–204.Google Scholar
Dynan, K. E.; Skinner, J.; and Zeldes, S. P.. “Do the Rich Save More?” Journal of Political Economy, 112 (2004), 397–444.Google Scholar
Easley, D., and O’Hara, M.. “Ambiguity and Nonparticipation: The Role of Regulation.” Review of Financial Studies, 22 (2009), 1817–1843.Google Scholar
Ellsberg, D.“Risk, Ambiguity, and the Savage Axioms.” Quarterly Journal of Economics, 75 (1961), 643–669.Google Scholar
Epstein, L.; Noor, J.; and Sandroni, A.. “Non-Bayesian Learning.” B. E. Journal of Theoretical Economics, 10 (2010), 1–20.Google Scholar
Epstein, L., and Schneider, M.. “Recursive Multiple-Priors.” Journal of Economic Theory, 113 (2003), 1–31.Google Scholar
Epstein, L., and Schneider, M.. “Learning under Ambiguity.” Review of Economic Studies, 74 (2007), 1275–1303.Google Scholar
Epstein, L., and Schneider, M.. “Ambiguity and Asset Markets.” Annual Review of Financial Economics, 2 (2010), 315–346.Google Scholar
Garlappi, L.; Uppal, R.; and Wang, T.. “Portfolio Selection with Parameter and Model Uncertainty: A Multi-Prior Approach.” Review of Financial Studies, 20 (2007), 41–81.Google Scholar
Gennotte, G.“Optimal Portfolio Choice under Incomplete Information.” Journal of Finance, 41 (1986), 733–746.Google Scholar
Ghirardato, P.; Maccheroni, F.; and Marinacci, M.. “Differentiating Ambiguity and Ambiguity Attitude.” Journal of Economic Theory, 118 (2004), 133–173.Google Scholar
Gilboa, I., and Schmeidler, D.. “Maxmin Expected Utility with Non-Unique Prior.” Journal of Mathematical Economics, 18 (1989), 141–153.Google Scholar
Gollier, C.“Portfolio Choices and Asset Prices: The Comparative Statics of Ambiguity Aversion.” Review of Economic Studies, 78 (2011), 1329–1344.Google Scholar
Gomes, F., and Michaelides, A.. “Optimal Life-Cycle Asset Allocation: Understanding the Empirical Evidence.” Journal of Finance, 60 (2005), 869–904.Google Scholar
Guidolin, M., and Liu, H.. “Ambiguity Aversion and Underdiversification.” Journal of Financial and Quantitative Analysis, 51 (2016), 1297–1323.Google Scholar
Guidolin, M., and Rinaldi, F.. “Ambiguity in Asset Pricing and Portfolio Choice: A Review of the Literature.” Theory and Decision, 74 (2013), 183–217.Google Scholar
Hanany, E., and Klibanoff, P.. “Updating Ambiguity Averse Preferences.” B. E. Journal of Theoretical Economics, 9 (2009), 1–51.Google Scholar
Heaton, J., and Lucas, D.. “Portfolio Choice in the Presence of Background Risk.” Economic Journal, 110 (2000), 1–26.Google Scholar
Kan, R., and Zhou, G.. “Optimal Portfolio Choice with Parameter Uncertainty.” Journal of Financial and Quantitative Analysis, 42 (2007), 621–656.Google Scholar
Klibanoff, P.; Marinacci, M.; and Mukerji, S.. “A Smooth Model of Decision Making under Ambiguity.” Econometrica, 73 (2005), 1849–1892.Google Scholar
Knight, F. Risk, Uncertainty, and Profit. Boston, MA: Hart, Schaffner, and Marx; Houghton Mifflin (1921).Google Scholar
Koijen, R.; Nijman, T.; and Werker, B.. “When Can Life Cycle Investors Benefit from Time-Varying Bond Risk Premia?” Review of Financial Studies, 23 (2010), 741–780.Google Scholar
Leippold, M.; Trojani, F.; and Vanini, P.. “Learning and Asset Prices under Ambiguous Information.” Review of Financial Studies, 21 (2008), 2565–2597.Google Scholar
Liu, H.“Dynamic Portfolio Choice under Ambiguity and Regime Switching Mean Returns.” Journal of Economic Dynamics and Control, 35 (2011), 623–640.Google Scholar
Lundtofte, F.“Expected Life-Time Utility and Hedging Demands in a Partially Observable Economy.” European Economic Review, 52 (2008), 1072–1096.Google Scholar
Malmendier, U., and Nagel, S.. “Depression Babies: Do Macroeconomic Experiences Affect Risk Taking?” Quarterly Journal of Economics, 126 (2011), 373–416.Google Scholar
Merton, R.“Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case.” Review of Economics and Statistics, 51 (1969), 247–257.Google Scholar
Miao, J.“Ambiguity, Risk and Portfolio Choice under Incomplete Information.” Annals of Economics and Finance, 10 (2009), 257–279.Google Scholar
Pastor, L.“Portfolio Selection and Asset Pricing Models.” Journal of Finance, 55 (2000), 179–223.Google Scholar
Pastor, L., and Veronesi, P.. “Learning in Financial Markets.” Annual Review of Financial Economics, 1 (2009), 361–381.Google Scholar
Polkovnichenko, V.“Life-Cycle Portfolio Choice with Additive Habit Formation Preferences and Uninsurable Labor Income Risk.” Review of Financial Studies, 20 (2007), 83–124.Google Scholar
van Rooij, M.; Lusardi, A.; and Alessie, R.. “Financial Literacy and Stock Market Participation.” Journal of Financial Economics, 101 (2011), 449–472.Google Scholar
Samuelson, P.“Lifetime Portfolio Selection by Dynamic Stochastic Programming.” Review of Economics and Statistics, 51 (1969), 239–246.Google Scholar
Sutter, M.; Kocher, M.; Glätzle-Retzler, D.; and Trautmann, S. T.. “Impatience and Uncertainty: Experimental Decisions Predict Adolescents’ Field Behavior.” American Economic Review, 103 (2013), 510–531.Google Scholar
Tu, J., and Zhou, G.. “Incorporating Economic Objectives into Bayesian Priors: Portfolio Choice under Parameter Uncertainty.” Journal of Financial and Quantitative Analysis, 45 (2010), 959–986.Google Scholar
Viceira, L.“Optimal Portfolio Choice for Long-Horizon Investors with Non-Tradable Labor Income.” Journal of Finance, 56 (2001), 433–470.Google Scholar
Vissing-Jørgensen, A.“Towards an Explanation of Household Portfolio Choice Heterogeneity: Nonfinancial Income and Participation Cost Structures.” National Bureau of Economic Research Working Paper No. 8884 (2002).Google Scholar
Xia, Y.“Learning About Predictability: The Effects of Parameter Uncertainty on Dynamic Asset Allocation.” Journal of Finance, 56 (2001), 205–246.Google Scholar