In the context of decentralized portfolio optimization, understanding how to distribute a fixed budget among decentralized intermediaries is a relevant investment problem, that has been recently introduced in the mathematical economics literature. While existing contributions focus on incentive...

Purpose - The purpose of this paper is to study the Hölder calmness of solutions to equilibrium problems and apply it to economics. Design/methodology/approach - The authors obtain the Hölder calmness by using an effective approach. More precisely, under the key assumption of strong convexity,...

We study the optimal design of a menu of funds by a manager who is required to use linear pricing and does not observe the preferences of investors regarding one of the risky assets. The optimal menu involves bundling of assets and can be explicitly constructed from the solution to a calculus of...

Existing literature regarding the natural hedge potential that arises from combining liabilities with different sensitivities focuses on the optimal liability mix, but does not address the question whether and how changes in the liability mix can be obtained. In the absence of a well-functioning...

This chapter gives an overview of current research in evolutionary finance. We mainly focus on the survival and stability properties of investment strategies associated with the Kelly rule. Our approach to the study of the wealth dynamics of investment strategies is inspired by Darwinian ideas...

Measuring the performance of stock portfolios that include options is challenging due to options' nonlinearity in the underlying, their exposure to volatility risk, and their time decay. Our contribution to the literature is twofold: First, we provide a theoretically rigorous derivation of the...

I develop a portfolio choice model that allows for partial default and accommodates trade in a rich set of assets. I characterize the solution to an infinite horizon, consumption/portfolio problem with Markov shocks and many assets. The characterization facilitates a simple solution algorithm...

The impact of transaction costs on asset pricing in equilibrium is rarely studied. We study an equilibrium model with proportional transaction costs where two investors trade in a derivative to hedge non-traded endowments. For any positive transaction cost there always exist no trade equilibria....

We establish the existence and uniqueness of the equilibrium for a stochastic mean-field game of optimal investment. The analysis covers both finite and infinite time horizons, and the mean-field interaction of the representative company with a mass of identical and indistinguishable firms is...

In recent years, academics, regulators, and market practitioners have increasingly addressed liquidity issues. Amongst the numerous problems addressed, the optimal execution of large orders is probably the one that has attracted the most research works, mainly in the case of single-asset...