A Strategy for Including Odd and Even-Numbered Higher Moments in Portfolio Selection
Previous theoretical work by the authors has developed a framework for optimizing portfolio decisions when moments higher than the variance are considered. Apart a significant increase in computational complexity, inclusion of higher order moments implies a careful judgement on which cross-moments to choose as non-zero. The reason for this lies not only in that the number of cross-moments grows exponentially with the order (of the moment), making results more difficult to obtain and interpret, as well as in the fact that solutions can vary widely, depending on the zeros assigned to a given higher-order moments tensor. On the other hand, empirical evidence produced up to now shows that mean-variance solutions are usually not robust, so inclusion of some higher-order moments is a must. We try to outline criteria for setting up an optimal portfolio selection programme that tries to reconcile parsimony and simplicity of interpretation with the robustness acquired with the use of more moments. The criteria combine statistical (sample dependent) and theoretical considerations, to devise nearly-optimal rules to be applied in a concrete case. The rules can be easily translated to a dynamic setting. If the user accepts to include risk behaviour assumptions, the rules can be sharpened and the procedure becomes simpler. Though the framework is general, the paper focuses on the 3rd and 4th moment cases.
To our knowledge, this item is not available for
download. To find whether it is available, there are three
1. Check below under "Related research" whether another version of this item is available online.
2. Check on the provider's web page whether it is in fact available.
3. Perform a search for a similarly titled item that would be available.
|Date of creation:||11 Aug 2004|
|Date of revision:|
|Contact details of provider:|| Web page: http://comp-econ.org/|
More information through EDIRC
When requesting a correction, please mention this item's handle: RePEc:sce:scecf4:341. 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: (Christopher F. Baum)
If references are entirely missing, you can add them using this form.