IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Log in (now much improved!) to save this paper

Portfolio Selection in Multidimensional General and Partial Moment Space

  • Walter Briec

    (University of Perpignan, GEREM)

  • Kristiaan Kerstens

    ()

    (CNRS-LEM (UMR 8179), IESEG School of Management)

This paper develops a general approach for the single period portfolio optimization problem in a multidimensional general and partial moment space. A shortage function is defined that looks for possible increases in odd moments and decreases in even moments. A main result is that this shortage function ensures suffcient conditions for global optimality. It also forms a natural basis for developing tests on the infuence of additional moments. Furthermore, a link is made with an approximation of an arbitrary order of a general indirectutility function. This nonparametric effciency measurement framework permits to dfferentiate mainly between portfolio effciency and allocative effciency. Finally, information can,in principle, be inferred about the revealed risk aversion, prudence, temperance and otherhigher-order risk characteristics of investors.

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.

File URL: http://my.ieseg.fr/bienvenue/DownloadDoc.asp?Fich=999006104_2009-ECO-08_Briec_Kerstens.pdf
Download Restriction: no

File URL:
Download Restriction: no

Paper provided by IESEG School of Management in its series Working Papers with number 2009-ECO-08.

as
in new window

Length: 47 pages
Date of creation: Aug 2009
Date of revision:
Handle: RePEc:ies:wpaper:e200908
Contact details of provider: Postal:
3, rue de la Digue, FR-59000 Lille

Phone: +33/320545892
Fax: +33/320574855
Web page: http://www.ieseg.fr/

More information through EDIRC

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.:

as in new window
  1. Walter Briec & K. Kerstens, 2009. "Infeasibilities and directional distance functions: with application to the determinateness of the luenberger productivity indicator," Post-Print hal-00372560, HAL.
  2. EECKHOUDT, louis & REY, Béatrice & SCHLESINGER, Harris, . "A good sign for multivariate risk taking," CORE Discussion Papers RP 1900, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. Tehranian, Hassan, 1980. " Empirical Studies in Portfolio Performance Using Higher Degrees of Stochastic Dominance," Journal of Finance, American Finance Association, vol. 35(1), pages 159-71, March.
  4. Rubinstein, Mark E., 1973. "The Fundamental Theorem of Parameter-Preference Security Valuation," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 8(01), pages 61-69, January.
  5. Fishburn, Peter C, 1977. "Mean-Risk Analysis with Risk Associated with Below-Target Returns," American Economic Review, American Economic Association, vol. 67(2), pages 116-26, March.
  6. EECKHOUDT, Louis & SCHLESINGER, Harris, . "Putting risk in its proper place," CORE Discussion Papers RP 1871, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. Zenios, Stavros A. & Holmer, Martin R. & McKendall, Raymond & Vassiadou-Zeniou, Christiana, 1998. "Dynamic models for fixed-income portfolio management under uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 22(10), pages 1517-1541, August.
  8. Kim, Tae-Hwan & White, Halbert, 2004. "On more robust estimation of skewness and kurtosis," Finance Research Letters, Elsevier, vol. 1(1), pages 56-73, March.
  9. Patrick L. Brockett & Yehuda Kahane, 1992. "Risk, Return, Skewness and Preference," Management Science, INFORMS, vol. 38(6), pages 851-866, June.
  10. Harlow, W. V. & Rao, Ramesh K. S., 1989. "Asset Pricing in a Generalized Mean-Lower Partial Moment Framework: Theory and Evidence," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 24(03), pages 285-311, September.
  11. Menezes, Carmen F. & Wang, X.Henry, 2005. "Increasing outer risk," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 875-886, November.
  12. Caballé, Jordi & Pomansky, Alexey, 1995. "Mixed Risk Aversion," Working Paper Series 444, Research Institute of Industrial Economics.
  13. Vinod, H. D., 2004. "Ranking mutual funds using unconventional utility theory and stochastic dominance," Journal of Empirical Finance, Elsevier, vol. 11(3), pages 353-377, June.
  14. DACHRAOUI, Kaïs & DIONNE, Georges & EECKHOUDT, Louis & GODFROID, Philippe, . "Comparative mixed risk aversion: definition and application to self-protection and willingness to pay," CORE Discussion Papers RP 1835, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  15. Emmanuel F. Jurczenko & Bertrand Maillet & Paul M. Merlin, 2008. "Efficient frontier for robust higher-order moment portfolio selection," Documents de travail du Centre d'Economie de la Sorbonne bla08062, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  16. Walter Briec & Kristiaan Kerstens, 2008. "Infeasibility and Directional Distance Functions with Application to the Determinateness of the Luenberger Productivity Indicator," Working Papers 2008-ECO-11, IESEG School of Management.
  17. Timo Kuosmanen, 2004. "Efficient Diversification According to Stochastic Dominance Criteria," Management Science, INFORMS, vol. 50(10), pages 1390-1406, October.
  18. Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-91, March.
  19. Jondeau, E. & Rockinger, M., 2004. "Optimal Portfolio Allocation Under Higher Moments," Working papers 108, Banque de France.
  20. Walter Briec & Kristiaan Kerstens & Jean Baptiste Lesourd, 2001. "Single Period Markowitz Portfolio Selection, Performance Gading and Duality: A Variation on Luenberger'a Shortage Function," Working Papers 0203, Departament Empresa, Universitat Autònoma de Barcelona, revised Apr 2002.
  21. Samuelson, Paul A., 1967. "General Proof that Diversification Pays," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 2(01), pages 1-13, March.
  22. Scott, Robert C & Horvath, Philip A, 1980. " On the Direction of Preference for Moments of Higher Order Than the Variance," Journal of Finance, American Finance Association, vol. 35(4), pages 915-19, September.
  23. Cornes,Richard, 1992. "Duality and Modern Economics," Cambridge Books, Cambridge University Press, number 9780521336017, November.
  24. Joseph Golec & Maurry Tamarkin, 1998. "Bettors Love Skewness, Not Risk, at the Horse Track," Journal of Political Economy, University of Chicago Press, vol. 106(1), pages 205-225, February.
  25. Donald E. Farrar, 1962. "The Investment Decision Under Uncertainty: Portfolio Selection," Journal of Finance, American Finance Association, vol. 17(4), pages 671-672, December.
  26. Walter Briec & Kristiaan Kerstens & Octave Jokung, 2005. "Mean-Variance-Skewness Portfolio Performance Gauging: A General Shortage Function and Dual Approach," Working Papers 2005-ECO-05, IESEG School of Management.
  27. Jun-ya Gotoh & Hiroshi Konno, 2000. "Third Degree Stochastic Dominance and Mean-Risk Analysis," Management Science, INFORMS, vol. 46(2), pages 289-301, February.
  28. Gul, Faruk, 1991. "A Theory of Disappointment Aversion," Econometrica, Econometric Society, vol. 59(3), pages 667-86, May.
  29. Thistle, Paul D., 1993. "Negative Moments, Risk Aversion, and Stochastic Dominance," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 28(02), pages 301-311, June.
  30. Gibbons, Michael R & Ross, Stephen A & Shanken, Jay, 1989. "A Test of the Efficiency of a Given Portfolio," Econometrica, Econometric Society, vol. 57(5), pages 1121-52, September.
  31. Markowitz, Harry M, 1991. " Foundations of Portfolio Theory," Journal of Finance, American Finance Association, vol. 46(2), pages 469-77, June.
  32. Simar, L. & Wilson, P.W., 1998. "A General Methodology for Bootstrapping in Nonparametric Frontier Models," Papers 9811, Catholique de Louvain - Institut de statistique.
  33. Jondeau, Eric & Rockinger, Michael, 2003. "Conditional volatility, skewness, and kurtosis: existence, persistence, and comovements," Journal of Economic Dynamics and Control, Elsevier, vol. 27(10), pages 1699-1737, August.
  34. Varian, Hal R., 1983. "Nonparametric Tests of Models of Investor Behavior," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 18(03), pages 269-278, September.
  35. Miles S. Kimball, 1989. "Precautionary Saving in the Small and in the Large," NBER Working Papers 2848, National Bureau of Economic Research, Inc.
  36. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, 03.
  37. Loistl, Otto, 1976. "The Erroneous Approximation of Expected Utility by Means of a Taylor's Series Expansion: Analytic and Computational Results," American Economic Review, American Economic Association, vol. 66(5), pages 904-10, December.
  38. Gourieroux, C. & Monfort, A., 2005. "The econometrics of efficient portfolios," Journal of Empirical Finance, Elsevier, vol. 12(1), pages 1-41, January.
  39. Chellathurai, Thamayanthi & Draviam, Thangaraj, 2007. "Dynamic portfolio selection with fixed and/or proportional transaction costs using non-singular stochastic optimal control theory," Journal of Economic Dynamics and Control, Elsevier, vol. 31(7), pages 2168-2195, July.
  40. Varian, Hal R., 1990. "Goodness-of-fit in optimizing models," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 125-140.
  41. Robert F. Dittmar, 2002. "Nonlinear Pricing Kernels, Kurtosis Preference, and Evidence from the Cross Section of Equity Returns," Journal of Finance, American Finance Association, vol. 57(1), pages 369-403, 02.
  42. Bawa, Vijay S., 1975. "Optimal rules for ordering uncertain prospects," Journal of Financial Economics, Elsevier, vol. 2(1), pages 95-121, March.
  43. Patrick L. Brockett & Linda L. Golden, 1987. "A Class of Utility Functions Containing all the Common Utility Functions," Management Science, INFORMS, vol. 33(8), pages 955-964, August.
  44. Campbell R. Harvey & Akhtar Siddique, 2000. "Conditional Skewness in Asset Pricing Tests," Journal of Finance, American Finance Association, vol. 55(3), pages 1263-1295, 06.
  45. Fare, Rolf & Grosskopf, Shawna, 1995. "Nonparametric tests of regularity, Farrell efficiency, and goodness-of-fit," Journal of Econometrics, Elsevier, vol. 69(2), pages 415-425, October.
  46. Luenberger, David G., 1992. "Benefit functions and duality," Journal of Mathematical Economics, Elsevier, vol. 21(5), pages 461-481.
  47. Paul A. Samuelson, 1970. "The Fundamental Approximation Theorem of Portfolio Analysis in terms of Means, Variances and Higher Moments," Review of Economic Studies, Oxford University Press, vol. 37(4), pages 537-542.
  48. Subodh Kumar & R. Robert Russell, 2002. "Technological Change, Technological Catch-up, and Capital Deepening: Relative Contributions to Growth and Convergence," American Economic Review, American Economic Association, vol. 92(3), pages 527-548, June.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:ies:wpaper:e200908. 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: (Monika Marin)

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.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.