Symmetry and order in the portfolio allocation problem
AbstractThis research studies the role of multivariate distribution structures on random asset returns in determining the optimal allocation vector for an expected utility maximizer. All our conclusions pertain for the set of risk averters. By carefully disturbing symmetry in the distribution of the, possibly covarying, returns, we ascertain the ordinal structure of the optimized allocation vector. Rank order of allocations is also established when a permutation symmetric random vector is mapped into the returns vector through location and scale shifts. It is shown that increased dispersion in the vectors of location and scale parameters benefit, ex-ante, investors as does a decrease in the rank correlation coefficient between the location and scale parameter vectors. Revealed preference comparative static results are identified for the location and scale vectors of asset returns. For most issues addressed, we arrive at much stronger inferences when a safe asset is available.
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 Springer in its journal Economic Theory.
Volume (Year): 19 (2002)
Issue (Month): 4 ()
Note: Received: August 8, 2000; revised version: January 8, 2001
Contact details of provider:
Web page: http://link.springer.de/link/service/journals/00199/index.htm
Other versions of this item:
- Lapan, Harvey E. & Hennessy, David A., 2002. "Symmetry and Order in the Portfolio Allocation Problem," Staff General Research Papers 5106, Iowa State University, Department of Economics.
- D8 - Microeconomics - - Information, Knowledge, and Uncertainty
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
- G1 - Financial Economics - - General Financial Markets
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- Lapan, Harvey E. & Hennessy, David A., 2006. "A note on cost arrangement and market performance in a multi-product Cournot oligopoly," International Journal of Industrial Organization, Elsevier, vol. 24(3), pages 583-591, May.
- Cheung, Ka Chun & Yang, Hailiang, 2004. "Ordering optimal proportions in the asset allocation problem with dependent default risks," Insurance: Mathematics and Economics, Elsevier, vol. 35(3), pages 595-609, December.
- Lapan, Harvey E. & Hennessy, David A., 2004. "Cost Arrangement and Welfare in a Multi-Product Cournot Oligopoly," Staff General Research Papers 12207, Iowa State University, Department of Economics.
- repec:ebl:ecbull:v:7:y:2004:i:1:p:1-7 is not listed on IDEAS
- Hennessy, David A. & Saak, Alexander E. & Babcock, Bruce A., 2003. "Fair Value Of Whole-Farm And Crop-Specific Revenue Insurance," 2003 Annual meeting, July 27-30, Montreal, Canada 21988, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
- Hennessy, David A. & Lapan, Harvey, 2007.
"When different market concentration indices agree,"
Elsevier, vol. 95(2), pages 234-240, May.
- Marat Ibragimov & Rustam Ibragimov, 2007.
"Market Demand Elasticity and Income Inequality,"
Springer, vol. 32(3), pages 579-587, September.
- Cheung, Ka Chun, 2006. "Optimal portfolio problem with unknown dependency structure," Insurance: Mathematics and Economics, Elsevier, vol. 38(1), pages 167-175, February.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Guenther Eichhorn) or (Christopher F Baum).
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.