Given exogenously the price process of some assets, we constrain the price process of other assets, which are characterised by their final pay-offs. We deal with an incomplete market framework in a discrete time model and assume the existence of the equilibrium. In this setup, we derive...

We consider a general discrete-time dynamic nancial market with three assets: a riskless bond, a security and a derivative. The market is incomplete (apriori) and at equilibrium. We assume also that the agents of the economy have short-sales constraints on the stock and that the payo at the...

We consider a complete financial market with primitive assets and derivatives on these primitive assets. Nevertheless, the derivative assets are non-redundant in the market, in the sense that the market is complete, only with their existence. In such a framework, we derive an equilibrium...

The aim of the paper is to analyze the impact of heterogeneous beliefs in an otherwise standard competitive complete market economy. The construction of a consensus probability belief, as well as a consensus consumer, are shown to be valid modulo an aggregation bias, which takes the form of a...

We provide a price characterization of efficient contingent claims - that is, chosen by at least a rational agent - in multiperiod economies with market frictions. Frictions include market incompleteness, transaction costs, short-selling, and borrowing costs. We characterize the inefficiency...

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...

La tendance à transférer les risques sur les particuliers, à les sortir des bilans des établissements financiers pour les diluer, notamment sous forme de fonds de placements collectifs dans les avoirs d'une multitude d'épargnants éparpillés, est une tendance lourde de nos économies. La...

La modélisation et l'analyse des comportements individuels et collectifs vis-à-vis du risque est au coeur des problématiques de recherche de la chaire de la Fondation du Risque " Les particuliers face aux risques : analyse et réponse des marchés " créée grâce au soutien de Groupama....

We study comparative statics of Nth-degree risk increases within a large class of problems that involve bidimensional payoffs and additive or multiplicative risks. We establish necessary and sufficient conditions for unambiguous impact of Nth-degree risk increases on optimal decision making. We...