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Portfolio Construction and Systematic Trading with Factor Entropy Pooling

Risk Magazine, Vol. 27, No. 5, pp. 56-61, 2014

36 Pages Posted: 13 May 2011 Last revised: 25 Aug 2014

Attilio Meucci

ARPM - Advanced Risk and Portfolio Management

David Ardia

University of Neuchatel - Institute of Financial Analysis; Laval University - Département de Finance et Assurance

Marcello Colasante

SYMMYS

Date Written: May 8, 2014

Abstract

The Entropy Pooling approach is a versatile theoretical framework to process market views and generalized stress-tests into an optimal "posterior" market distribution, which is then used for risk management and portfolio management. Entropy Pooling can be implemented non-parametrically or parametrically. The non-parametric implementation with historical scenarios is more suitable for risk management applications.

Here introduce the parametric implementation of Entropy Pooling under a factor structure, which we name Factor Entropy Pooling. The factor structure reduces the dimension of the problem and linearizes the parameter space, allowing for fast computation of the posterior market distribution.

We apply Factor Entropy Pooling to two portfolio construction problems.

First, we use the Factor Entropy Pooling to construct the "implied returns", i.e. a market distribution consistent with a target optimal portfolio, such as maximum diversification/risk parity, or the CAPM equilibrium. Our approach improves on the implied returns a-la-Black-Litterman, and the ensuing distribution can be used as the starting point for further portfolio construction.

Second, we use Factor Entropy Pooling to construct and backtest quantitative systematic trading strategies based on ranking views, or "portfolios from sorts". Unlike standard approaches, Factor Entropy Pooling closely ties to the actual empirical data.

Keywords: Trading signals, tactical allocation, Black-Litterman, equilibrium prior, shrinkage, risk management, Entropy Pooling, factor models, inequality views, portfolios from sorts, ranking, Kullback-Leibler

JEL Classification: C1, G11

Suggested Citation

Meucci, Attilio and Ardia, David and Colasante, Marcello, Portfolio Construction and Systematic Trading with Factor Entropy Pooling (May 8, 2014). Risk Magazine, Vol. 27, No. 5, pp. 56-61, 2014 . Available at SSRN: https://ssrn.com/abstract=1742559 or http://dx.doi.org/10.2139/ssrn.1742559

Attilio Meucci (Contact Author)

ARPM - Advanced Risk and Portfolio Management ( email )

HOME PAGE: http://www.arpm.co/

David Ardia

University of Neuchatel - Institute of Financial Analysis ( email )

Rue A.-L. Breguet 2
Neuchatel, CH-2000
Switzerland

Laval University - Département de Finance et Assurance ( email )

Pavillon Palasis-Prince
Quebec G1K 7P4
Canada

Marcello Colasante

SYMMYS ( email )

NY
United States

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