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Prospect Theory and Higher Moments Author info | Abstract | Publisher info | Download info | Related research | Statistics Ågren, Martin (Department of Economics)
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The paper relates cumulative prospect theory to the moments of returns distributions, e.g. skewness and kurtosis, assuming returns are normal inverse Gaussian distributed. The normal inverse Gaussian distribution parametrizes the first- to forth-order moments, making the investigation straightforward. Cumulative prospect theory utility is found to be positively related to the skewness. However, the relation is negative when probability weighing is set aside. This shows that cumulative prospect theory investors display a preference for skewness through the probability weighting function. Furthermore, the investor’s utility is inverse hump-shape related to the kurtosis. Consequences for portfolio choice issues are studied. The findings, among others, suggest that optimal cumulative prospect theory portfolios are not meanvariance efficient under the normal inverse Gaussian distribution.
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Paper provided by Uppsala University, Department of Economics in its series Working Paper Series with number
2006:24.
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Length: 31 pages
Date of creation: 17 Oct 2006Date of revision:
Handle: RePEc:hhs:uunewp:2006_024Contact details of provider: Postal: Department of Economics, Uppsala University, P. O. Box 513, SE-751 20 Uppsala, Sweden Phone: + 46 18 471 25 00 Fax: + 46 18 471 14 78 Email: Web page: http://www.nek.uu.se/ More information through EDIRC
For technical questions regarding this item, or to correct its listing, contact: (Katarina Grönvall).
Keywords: cumulative prospect theory ; skewness ; kurtosis ; normal inverse Gaussian distribution ; portfolio choice ; Other versions of this item:
Find related papers by JEL classification: C16 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Econometric and Statistical Methods; Specific Distributions D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
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