This paper uses an asymptotically valid expansion to derive explicitly agent's individual demand schedules and then the equilibrium allocations in options. Agents derive financial and non-tradeable income over time; they can only partially offset the latter using bonds and stocks and the option...

Dynamic models with inequality constraints pose a challenging prob- lem for two major reasons: Dynamic Programming techniques often necessitate a non established differentiability of the value function, while Euler equation based techniques have problematic or unknown convergence properties....

We consider an infinite horizon exchange economy with incomplete markets and default. As in Geanakoplos and Zame (1998) financial securities are traded if the promises associated with them are backed by collateral. The only collateral available in our economy are shares of Lucas trees. We prove...

In this paper we investigate the performance of the threshold accepting heuristic for the index tracking problem. The index tracking problem consists in minimizing the tracking error between a portfolio and a benchmark. The objective is to replicate the performance of a given index upon the...

A popular argument states that most of the diversification in a portfolio can be obtained with a rather small number of securities. In this paper we present three algorithms to approach the underlying NP-hard problem of portfolio optimization with a cardinality constraint. All three of these...

This paper introduces a simulation model extending the well known Capital Asset Pricing Model by Sharpe and Lintner. Investors are modeled as multi-period forward looking portfolio optimizers. However, the future is not known \emph{a priori}, but has to be modeled and estimated. We allow agents...

This paper extends the well known Capital Asset Pricing Model by Sharpe and Lintner to a multi-period context with possibly price dependent preferences. The model is built from individual forward looking agents adopting a portfolio selection scheme similar to the portfolio selection theory...

Ways of finding a maximum skewness portfolio, with given return, variance and kurtosis, are presented. The methods take advantage of the special shape of the efficient portfolios manifold. Simpler solutions are obtained if the higher moments tensor has some particular structures. The problem of...