I present an attempt to construct multi-period, finite horizon extensions to the well -known two- period financial innovations literature. I first extend the definition of competitive equilibrium with innovations. It is shown that, with a dominating house

In this article the problem of the American option valuation in a Levy process setting is analysed. The perpetual case is first considered. Without possible discontinuities (i.e. with negative jumps in the call case), known results concerning the currency option value as well as the exercise...

Various methods of option pricing in discrete time models are discussed. The classical risk minimization method often results in negative prices and a natural modification is proposed. Another method of risk minimization using an inductive procedure as in the Cox-Ross-Rubinstein model is also...

The problem of option pricing is treated using the Stochastic Volatility (SV) model: the volatility of the underlying asset is a function of an exogenous stochastic process, typically assumed to be mean-reverting. Assuming that only discrete past stock information is available, an interacting...

We construct a dynamic heterogeneous-agent model with random uninsurable endowments. Two allocation mechanisms are considered, one with long-term complete credit arrangements under private information, and one with incomplete competitive markets. A role for money arises due to random limited...

In the incomplete markets model with numeraire asset and a single con- sumption good we show that, even with homothetic preferences, on compact sets of prices Continuity, Walras' identity and Homogeneity characterize the properties of market excess demand.This result is proved by an extension of...

The purpose of this paper is to give a global characterization of excess demand functions in a two period exchange economy with incomplete real asset markets. We show that continuity, homogeneity and Walras’ law characterize the aggregate excess demand functions on any compact price set which...

The paper considers the evolution of portfolio rules in markets with stationary returns and endogenous prices. The ultimate success of a portfolio rule is measured by the wealth share the rule is eventually able to conquer in competition with other portfolio rules. We give nec-essary and...

This paper shows that a stock market is evolutionary stable if and only if stocks are evaluated by expected relative dividends. Any other market can be invaded by portfolio rules that will gain market wealth and hence change the valuation. In the model the valuation of assets is given by the...

When markets are incomplete, the competitive equilibria considered so far are not constrained Pareto-efficient, production efficiency breaks down and shareholders no longer agree on the objective function of the firm. We first show by way of an example that these inefficiencies originate in the...