The problem of fair pricing of contingent claims is well understood in the contex of an arbitrage free, complete financial market, with perfect information : the so-called arbitrage approach permits to construct a unique valuation operator compatible with observed price rocesses. In the more...

In this paper, we start by considering market models with fixed costs; in such a context, we characterize the absence of arbitrage opportunity and we provide pricing rules. We then apply these results to extend some classical interest rate and option pricing models. In particular, we prove that...

We consider a model in which all investment opportunities are described in terms of cash flows. We don't assume that there is a numéraire, the time horizon is not supposed to be finite, the investment opportunities are not specifically related to the buying and selling of securities on a...

Our aim is to analyze the link between optimism and risk aversion in a subjective expected utility setting and to estimate the average level of optimism when weighted by risk tolerance. Its estimation leads to a non-trivial statistical problem. We start from a large lottery survey (1536...

In this paper we study the stability (in the L <Superscript> p </Superscript> as well as for the almost sure convergence sense) of the optimal investment-consumption strategy with respect to the choice of the utility function. Copyright Springer-Verlag Berlin/Heidelberg 2004

This paper studies foundational issues in securities markets models with fixed costs of trading, i.e. transaction costs that are bounded regardless of the transaction size, such as : fixed brokerage fees, investment taxes, operational and processing costs, or opportunity costs. We show that the...

We study securities market models with fixed costs. We first characterize the absence of arbitrage opportunities and provide fair pricing rules. We then apply these results to extend some popular interest rate and option pricing models that present arbitrage opportunities in the absence of fixed...

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 belief, as well as a consensus consumer, are shown to be valid modulo a finite variation aggregation bias, which takes the form of...

In securities markets, the characterisation of the absence of arbitrage by the existence of state price deflators is generally obtained through the use of the Kreps-Yan theorem. This paper deals with the validity of this theorem in a general framework. We apply this results to the...