Incomplete markets, transaction costs and liquidity effects
Jouini, Elyès; Touzi, Nizar; Koehl, Pierre-François (1997), Incomplete markets, transaction costs and liquidity effects, The European Journal of Finance, 3, 4, p. 325-347. http://dx.doi.org/10.1080/135184797337408
TypeArticle accepté pour publication ou publié
Nom de la revueThe European Journal of Finance
MétadonnéesAfficher la notice complète
Résumé (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.
Mots-clésTransaction costs; contingent claim; incomplete markets
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