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Incomplete markets, transaction costs and liquidity effects

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Date
1997-12
Dewey
Economie financière
Sujet
Transaction costs; contingent claim; incomplete markets
JEL code
D23; G14; G13
Journal issue
The European Journal of Finance
Volume
3
Number
4
Publication date
12-1997
Article pages
325-347
Publisher
Routledge
DOI
http://dx.doi.org/10.1080/135184797337408
URI
https://basepub.dauphine.fr/handle/123456789/5606
Collections
  • CEREMADE : Publications
Metadata
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Author
Jouini, Elyès
Touzi, Nizar
Koehl, Pierre-François
Type
Article accepté pour publication ou publié
Abstract (EN)
An agent's optimization problem of the expected terminal wealth utility in a trinomial tree economy is solved. At each transaction date, the agent can trade in a riskless asset, a primitive asset subject to constant proportional transaction costs, and a contingent claim characterized by some parameter kappa whose bid and ask price is defined by allowing for different equivalent martingale measures. In addition to the classical portfolio choice problem, the characteristic of the contingent claim κ is determined endogenously in the optimization problem. Under suitable conditions, it is proved that the optimal demand of the agent in the primitive risky asset is zero independently of the choice of the terminal wealth utility function : the agent prefers not to trade in the asset subject to transaction costs, which prevents the market from being complete, rather than trading in both assets. Next, the optimal choice of the contingent claim is characterized and the results are applied to European call and put options with fixed maturity and varying exercise price κ.

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