The 1/N investment strategy is optimal under high model ambiguity
The 1/N investment strategy, i.e. the strategy to split one’s wealth uniformly between the available investment possibilities, recently received plenty of attention in the literature. In this paper, we demonstrate that the uniform investment strategy is rational in situations where an agent is faced with a sufficiently high degree of model uncertainty in the form of ambiguous loss distributions. More specifically, we use a classical risk minimization framework to show that, for a broad class of risk measures, as the uncertainty concerning the probabilistic model increases, the optimal decisions tend to the uniform investment strategy.
If 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.
References listed on IDEAS
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.:
- Kerkhof, Jeroen & Melenberg, Bertrand & Schumacher, Hans, 2010. "Model risk and capital reserves," Journal of Banking & Finance, Elsevier, vol. 34(1), pages 267-279, January.
- Tarashev, Nikola, 2010.
"Measuring portfolio credit risk correctly: Why parameter uncertainty matters,"
Journal of Banking & Finance,
Elsevier, vol. 34(9), pages 2065-2076, September.
- Nikola Tarashev, 2009. "Measuring portfolio credit risk correctly: why parameter uncertainty matters," BIS Working Papers 280, Bank for International Settlements.
- Victor DeMiguel & Lorenzo Garlappi & Francisco J. Nogales & Raman Uppal, 2009. "A Generalized Approach to Portfolio Optimization: Improving Performance by Constraining Portfolio Norms," Management Science, INFORMS, vol. 55(5), pages 798-812, May.
- Daniel Kahneman, 2003. "Maps of Bounded Rationality: Psychology for Behavioral Economics," American Economic Review, American Economic Association, vol. 93(5), pages 1449-1475, December.
- Tu, Jun & Zhou, Guofu, 2011. "Markowitz meets Talmud: A combination of sophisticated and naive diversification strategies," Journal of Financial Economics, Elsevier, vol. 99(1), pages 204-215, January.
- Lorenzo Garlappi & Raman Uppal & Tan Wang, 2007.
"Portfolio Selection with Parameter and Model Uncertainty: A Multi-Prior Approach,"
Review of Financial Studies,
Society for Financial Studies, vol. 20(1), pages 41-81, January.
- Raman Uppal & Lorenzo Garlappi & Tan Wang, 2004. "Portfolio Selection with Parameter and Model Uncertainty: A Multi-Prior Approach," Money Macro and Finance (MMF) Research Group Conference 2004 54, Money Macro and Finance Research Group.
- Garlappi, Lorenzo & Uppal, Raman & Wang, Tan, 2005. "Portfolio Selection with Parameter and Model Uncertainty: A Multi-Prior Approach," CEPR Discussion Papers 5041, C.E.P.R. Discussion Papers.
- Garlappi, Lorenzo & Uppal, Raman & Wang, Tan, 2005. "Portfolio Selection with Parameter and Model Uncertainty: A Multi-Prior Approach," CEPR Discussion Papers 5148, C.E.P.R. Discussion Papers.
- Richard H. Thaler & Shlomo Benartzi, 2001. "Naive Diversification Strategies in Defined Contribution Saving Plans," American Economic Review, American Economic Association, vol. 91(1), pages 79-98, March.
- Georg Pflug & David Wozabal, 2007. "Ambiguity in portfolio selection," Quantitative Finance, Taylor & Francis Journals, vol. 7(4), pages 435-442.
- Victor DeMiguel & Lorenzo Garlappi & Raman Uppal, 2009. "Optimal Versus Naive Diversification: How Inefficient is the 1-N Portfolio Strategy?," Review of Financial Studies, Society for Financial Studies, vol. 22(5), pages 1915-1953, May.
- Gur Huberman & Wei Jiang, 2006. "Offering versus Choice in 401(k) Plans: Equity Exposure and Number of Funds," Journal of Finance, American Finance Association, vol. 61(2), pages 763-801, April.
- Pascal J. Maenhout, 2004. "Robust Portfolio Rules and Asset Pricing," Review of Financial Studies, Society for Financial Studies, vol. 17(4), pages 951-983.
- Ravi Jagannathan & Tongshu Ma, 2003. "Risk Reduction in Large Portfolios: Why Imposing the Wrong Constraints Helps," Journal of Finance, American Finance Association, vol. 58(4), pages 1651-1684, August.
- Ravi Jagannathan & Tongshu Ma, 2002. "Risk Reduction in Large Portfolios: Why Imposing the Wrong Constraints Helps," NBER Working Papers 8922, National Bureau of Economic Research, Inc.
- Chan, Louis K C & Karceski, Jason & Lakonishok, Josef, 1999. "On Portfolio Optimization: Forecasting Covariances and Choosing the Risk Model," Review of Financial Studies, Society for Financial Studies, vol. 12(5), pages 937-974.
- Louis K.C. Chan & Jason Karceski & Josef Lakonishok, 1999. "On Portfolio Optimization: Forecasting Covariances and Choosing the Risk Model," NBER Working Papers 7039, National Bureau of Economic Research, Inc.
- Simonson, Itamar & Winer, Russell S, 1992. " The Influence of Purchase Quantity and Display Format on Consumer Preference for Variety," Journal of Consumer Research, Oxford University Press, vol. 19(1), pages 133-138, June.
- Vrontos, Spyridon D. & Vrontos, Ioannis D. & Giamouridis, Daniel, 2008. "Hedge fund pricing and model uncertainty," Journal of Banking & Finance, Elsevier, vol. 32(5), pages 741-753, May.
- Quaranta, Anna Grazia & Zaffaroni, Alberto, 2008. "Robust optimization of conditional value at risk and portfolio selection," Journal of Banking & Finance, Elsevier, vol. 32(10), pages 2046-2056, October.
- Frank Lutgens & Peter C. Schotman, 2010. "Robust Portfolio Optimisation with Multiple Experts," Review of Finance, European Finance Association, vol. 14(2), pages 343-383. Full references (including those not matched with items on IDEAS)
When requesting a correction, please mention this item's handle: RePEc:eee:jbfina:v:36:y:2012:i:2:p:410-417. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dana Niculescu)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.