ebooks logo journals logo reference works logo abstract databases logo
bullet  SIGN IN Register | Why Register? | Got a Voucher? alerts   marked lists   shopping cart 

informaworld

HOME   |   SEARCH   |   BROWSE
    Issues List       Latest Issue       Forthcoming Articles       Volume 4 Issue 3       Subscribe       Article       References       Cited By       Related articles      
firstfirst   < prevprev   Table of contentstoc   next >next   last >>last
Publisher Logo Publication Cover
Search within this journal

Fuzzy measures and asset prices: accounting for information ambiguity 

Author: Umberto Cherubini a
Affiliation:   a Banca Commerciale Italiana, Economic Research Department, Via Borgonuovo, 2, 20121 Milan, Italy.
DOI: 10.1080/135048697334773
Publication Frequency: 6 issues per year
Published in: journal Applied Mathematical Finance, Volume 4, Issue 3 September 1997 , pages 135 - 149
Number of References: 34
Formats available: PDF (English)
Article Requests: Order Reprints : Request Permissions
View Article: View Article (PDF) View Article (PDF)


Abstract

A recent stream of literature has suggested that many market imperfections or 'puzzles' can be easily explained once information ambiguity, or knightian uncertainty is taken into account. Here we propose a parametric representation of this concept by means of a special class of fuzzy measures, known as gλ-measures. The parameter λ may be considered an indicator of uncertainty. Starting with a distribution, a value λ in (0, ∞) and a benchmark utility function we obtain a sub-additive expected utility, representing uncertainty aversion. A dual value λ* in (-1, 0) defining a super-additive expected utility is also recovered, while the benchmark expected utility is obtained for λ = λ* = 0. The two measures may be considered as lower and upper bounds of expected utility with respect to a set of probability measures, in the spirit of Gilboa-Schmeidler MMEU theory and of Dempster probability interval approach. The parametrization may be used to determine the effect of information ambiguity on asset prices in a very straightforward way. As examples, we determine the price of a corporate debt contract and a 'fuzzified' version of the Black and Scholes model.
Keywords: Knightian Uncertainty; Market Incompleteness; Non-additive Measures; Asset Pricing
view references (34) : view citations
Bookmark with:
  • CiteULike
  • Del.icio.us
  • BibSonomy
  • Connotea
  • More bookmarks
Privacy Policy | Terms & Conditions | Accessibility | RSS
FAQs in: English . Français . Español . 中文(简体和繁體)
© 2010 Informa plc