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Aversion Analysis

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Author Info
ALLARD, Marie
BRONSARD, Camille
GOURIÉROUX Christian

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Abstract

In this paper : a) the consumer’s problem is studied over two periods, the second one involving S states, and the consumer being endowed with S+1 incomes and having access to N financial assets; b) the consumer is then representable by a continuously differentiable system of demands, commodity demands, asset demands and desirabilities of incomes (the S+1 Lagrange multiplier of the S+1 constraints); c) the multipliers can be transformed into subjective Arrow prices; d) the effects of the various incomes on these Arrow prices decompose into a compensation effect (an Antonelli matrix) and a wealth effect; e) the Antonelli matrix has rank S-N, the dimension of incompleteness, if the consumer can financially adjust himself when facing income shocks; f) the matrix has rank S, if not; g) in the first case, the matrix represents a residual aversion; in the second case, a fundamental aversion; the difference between them is an aversion to illiquidity; this last relation corresponds to the Drèze-Modigliani decomposition (1972); h) the fundamental aversion decomposes also into an aversion to impatience and a risk aversion; i) the above decompositions span a third decomposition; if there exists a sure asset (to be defined, the usual definition being too specific), the fundamental aversion admits a three-component decomposition, an aversion to impatience, a residual aversion and an aversion to the illiquidity of risky assets; j) the formulas of the corresponding financial premiums are also presented.

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Publisher Info
Paper provided by Universite de Montreal, Departement de sciences economiques in its series Cahiers de recherche with number 2003-06.

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Length: 55 pages
Date of creation: 2003
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Handle: RePEc:mtl:montde:2003-06

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Related research
Keywords: risk aversion; aversion to imtience; illiquidity aversion; multidimensional aversions; financial emiums; Antonelli matrix; asset substitutability; Drèze-Modigliani decomsition; subjective certainty; sure and risky assets; incomete markets;

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Full references

Cited by:
(explanations, 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.)

  1. Alexander Harin, 2005. "Gains and losses. The same or different choices?," International Finance 0508004, EconWPA. [Downloadable!]
  2. Alexander Harin, 2005. "Gains and losses: the same or different choices? A “non-ideal” economics approach," International Finance 0509002, EconWPA. [Downloadable!]
  3. Alexander Harin, 2005. "Scientific Revolution. A Farewell to EconWPA," Method and Hist of Econ Thought 0512003, EconWPA. [Downloadable!]
  4. Alexander Harin, 2005. "A Rational Irrational Man," Public Economics 0511005, EconWPA. [Downloadable!]
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