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Solvency Constraint, Underdiversification, and Idiosyncratic Risks

Published online by Cambridge University Press:  13 May 2014

Hong Liu*
Affiliation:
liuh@wustl.edu, Olin Business School, Washington University in St. Louis, 1 Brookings Dr, St. Louis, MO 63130 and China Academy of Financial Research (CAFR).

Abstract

Contrary to the prediction of the standard portfolio diversification theory, many investors place a large fraction of their stock investment in a small number of stocks. I show that underdiversification may be caused by solvency requirements. My model predicts that for quite general preferences and return distributions: (1) underdiversification decreases in discretionary wealth; and (2) expected return and covariance determine which stocks to invest in, but variance, higher moments, and Sharpe ratio do not matter for this choice. In addition, a less-diversified stock portfolio has a higher expected return, a higher volatility, and a higher skewness, and idiosyncratic risks are priced.

Type
Research Articles
Copyright
Copyright © Michael G. Foster School of Business, University of Washington 2014 

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References

Anderson, J. M. “The Wealth of U.S. Families: Analysis of Recent Census Data.” Working Paper, Bureau of Census (1999).Google Scholar
Ang, A.; Hodrick, R.; Xing, Y.; and Zhang, X.. “The Cross-Section of Volatility and Expected Returns.” Journal of Finance, 61 (2006), 259299.CrossRefGoogle Scholar
Barberis, N. C., and Huang, M.. “Stocks as Lotteries: The Implications of Probability Weighting for Security Prices.” American Economic Review, 98 (2008), 20662100.CrossRefGoogle Scholar
Bessembinder, H. “Systematic Risk, Hedging Pressure, and Risk Premiums in Futures Markets.” Review of Financial Studies, 5 (1992), 637667.CrossRefGoogle Scholar
Blume, M. E.; Crockett, J.; and Friend, I.. “Stockholders in the United States: Characteristics and Trends.” Survey of Current Business, 54 (1974), 1640.Google Scholar
Boehmer, E.; Jones, C. M.; and Zhang, X.. “Which Shorts Are Informed?Journal of Finance, 63 (2008), 491527.CrossRefGoogle Scholar
Boyle, P.; Garlappi, L.; Uppal, R.; and Wang, T.. “Keynes Meets Markowitz: The Trade-Off between Familiarity and Diversification.” Management Science, 58 (2012), 253272.CrossRefGoogle Scholar
Brennan, M. J. “The Optimal Number of Securities in a Risky Asset Portfolio When There Are Fixed Costs of Transacting: Theory and Some Empirical Results.” Journal of Financial and Quantitative Analysis, 10 (1975), 483496.CrossRefGoogle 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), 707747.CrossRefGoogle Scholar
Campbell, J. Y. “Household Finance.” Journal of Finance, 61 (2006), 239244.CrossRefGoogle Scholar
Chetty, R., and Szeidl, A.. “Consumption Commitments and Risk Preferences.” Quarterly Journal of Economics, 122 (2007), 831877.CrossRefGoogle Scholar
Chetty, R., and Szeidl, A.. “Consumption Commitments: A Foundation for Reference-Dependent Preferences and Habit Formation.” Working Paper, Harvard University (2010).Google Scholar
Constantinides, G. M. “Habit Formation: A Resolution of the Equity Premium Puzzle.” Journal of Political Economy, 98 (1990), 519543.CrossRefGoogle Scholar
Cuoco, D., and Liu, H.. “A Martingale Characterization of Consumption Choices and Hedging Costs with Margin Requirements.” Mathematical Finance, 10 (2000), 355385.CrossRefGoogle Scholar
Cuoco, D., and Liu, H.. “An Analysis of VaR-Based Capital Requirements.” Journal of Financial Intermediation, 15 (2006), 362394.CrossRefGoogle Scholar
Dybvig, P. H. “Short Sales Restrictions and Kinks on the Mean Variance Frontier.” Journal of Finance, 36 (1984), 239244.CrossRefGoogle Scholar
Dybvig, P. H. “Duesenberry’s Racheting of Consumption: Optimal Dynamic Allocation and Investment Given Intolerance for any Decline in Standard of Living.” Review of Economic Studies, 62 (1995), 287313.CrossRefGoogle Scholar
Epstein, L. G., and Zin, S. E.. “Substitution, Risk Aversion and the Temporal Behavior of Consumption and Asset Returns.” Econometrica, 57 (1989), 937969.CrossRefGoogle Scholar
Flavin, M., and Nakagawa, S.. “A Model of Housing in the Presence of Adjustment Costs: A Structural Interpretation of Habit Persistence.” American Economic Review, 98 (2008), 474495.CrossRefGoogle Scholar
Fratantoni, M. C. “Homeownership, Committed Expenditure Risk, and the Stockholding Puzzle.” Oxford Economic Papers, 53 (2001), 241259.CrossRefGoogle Scholar
Friedman, M., and Savage, L. J.. “The Utility Analysis of Choices Involving Risk.” Journal of Political Economy, 56 (1948), 279304.CrossRefGoogle Scholar
Goetzmann, W. N., and Kumar, A.. “Equity Portfolio Diversification.” Review of Finance, 12 (2008), 433463.CrossRefGoogle Scholar
Gul, F. “A Theory of Disappointment Aversion.” Econometrica, 59 (1991), 667686.CrossRefGoogle Scholar
Huberman, G. “Familiarity Breeds Investment.” Review of Financial Studies, 14 (2001), 659680.CrossRefGoogle Scholar
Ivkovich, Z.; Sialm, C.; and Weisbenner, S.. “Portfolio Concentration and the Performance of Individual Investors.” Journal of Financial and Quantitative Analysis, 43 (2008), 613656.CrossRefGoogle Scholar
Ivkovich, Z., and Weisbenner, S.. “Local Does as Local Is: Information Content of the Geography of Individual Investors’ Common Stock Investments.” Journal of Finance, 60 (2005), 267306.CrossRefGoogle Scholar
Kahneman, D., and Tversky, A.. “Prospect Theory: An Analysis of Decision under Risk.” Econometrica, 47 (1979), 263291.CrossRefGoogle Scholar
Kraus, A., and Litzenberger, R.. “Skewness Preference and the Valuation of Risk Assets.” Journal of Finance, 31 (1976), 10851100.Google Scholar
Kumar, A. “Do the Diversification Choices of Individual Investors Influence Stock Returns?Journal of Financial Markets, 10 (2007), 362390.CrossRefGoogle Scholar
Machina, M. J. “‘Expected Utility’ Analysis without the Independence Axiom.” Econometrica, 50 (1982), 277323.CrossRefGoogle Scholar
Merton, R. C. “A Simple Model of Capital Market Equilibrium with Incomplete Information.” Journal of Finance, 42 (1987), 483510.CrossRefGoogle Scholar
Mitton, T., and Vorkink, K.. “Equilibrium Underdiversification and the Preference for Skewness.” Review of Financial Studies, 20 (2007), 12551288.CrossRefGoogle Scholar
Morin, R. A., and Suarez, F.. “Risk Aversion Revisited.” Journal of Finance, 38 (1983), 12011216.CrossRefGoogle Scholar
Palsson, J. M. “Does the Degree of Relative Risk Aversion Vary with Household Characteristics?Journal of Economic Psychology, 17 (1996), 771787.CrossRefGoogle Scholar
Polkovnichenko, V. “Household Portfolio Diversification: A Case for Rank Dependent Preferences.” Review of Financial Studies, 18 (2005), 14671502.CrossRefGoogle Scholar
Postlewaite, A.; Silverman, D.; and Samuelson, L.. “Consumption Commitments and Employment Contracts.” Review of Economic Studies, 75 (2008), 559578.CrossRefGoogle Scholar
Ross, S. A. “The Capital Asset Pricing Model (CAPM), Short-Sale Restrictions and Related Issues.” Journal of Finance, 32 (1977), 177183.Google Scholar
Shore, S., and Sinai, T.. “Commitment, Risk, and Consumption: Do Birds of a Feather Have Bigger Nests?Review of Economics and Statistics, 92 (2010), 408424.CrossRefGoogle Scholar
Uppal, R., and Wang, T.. “Model Misspecification and Underdiversification.” Journal of Finance, 58 (2003), 24652486.CrossRefGoogle Scholar
Van Nieuwerburgh, S., and Veldkamp, L.. “Information Acquisition and Under-Diversification.” Review of Economic Studies, 77 (2010), 779805.CrossRefGoogle Scholar
Vissing-Jørgensen, A. “Comments on ‘Stock Prices and Fundamentals’ by John Heaton and Deborah Lucas.” NBER Macroeconomics Annual (1999).Google Scholar
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