On the tracking and replication of hedge fund optimal investment portfolio strategies in global The hedge fund represents a unique investment opportunity for the institutional and private investors in the diffusion-type financial systems. The main objective of this condensed article is to...

Hedge fund flows chase alpha, yet they also follow returns attributable to traditional and exotic risk exposures. Investors appear more cognizant of exotic risks over time, with flows increasing their relative emphasis on returns from exotic betas in recent years. Investors also discriminate...

CAPM alpha explains hedge fund flows better than alphas from more sophisticated models. This suggests that investors pool together sophisticated model alpha with returns from exposures to traditional (except for the market) and exotic risks. We decompose performance into traditional and exotic...

This paper presents a set of tools, which allow gathering information about the frequency components of a time-series. We focus on the concepts rather than giving too much weight to mathematical technicalities. In a first step, we discuss spectral analysis and filtering methods. Spectral...

This paper explores a linear hedge fund replication and alternative beta methodology that is robust to the presence of non linearities and the possibility of model mis-specification. In a fashion similar to Roncalli and Weisang (2009a), the problem is cast as a tracking problem in order to allow...

This paper makes use of perturbation theory to solve analytically a class of robust control problems implied by Anderson, Hansen and Sargent (2000) (AHS (2000)) model of a preference for robustness. For the constant opportunity set model, we provide (i) asymptotic expressions that characterize...

We propose a Markov-chain approximation method for discrete-time control problems, showing how to reap the speed gains from continuous-time algorithms in this class of models. Our approach specifies a discrete Markov chain on a grid, taking a first-order approximation of conditional...

This paper presents a tractable model of non-linear dynamics of market returns using a Langevin approach.Due to non-linearity of an interaction potential, the model admits regimes of both small and large return fluctuations. Langevin dynamics are mapped onto an equivalent quantum mechanical (QM)...

In this note, we review the conclusions of a paper comparing a cyclical coordinate descent (CCD) algorithm with other algorithms for solving risk parity portfolio optimization problems. In particular, we show that a proper numerical implementation of the CCD algorithm is fast, robust and...