Title
Portfolio symmetry and momentum.
Abstract
This paper presents a novel theoretical framework to model the evolution of a dynamic portfolio (i.e., a portfolio whose weights vary over time), considering a given investment policy. The framework is based on graph theory and the quantum probability. Embedding the dynamics of a portfolio into a graph, each node of the graph representing a plausible portfolio, we provide the probabilities for a dynamic portfolio to lie on different nodes of the graph, characterizing its optimality in terms of returns. The framework embeds cross-sectional phenomena, such as the momentum effect, in stochastic processes, using portfolios instead of individual stocks. We apply our methodology to an investment policy similar to the momentum strategy of Jegadeesh and Titman (1993). We find that the strategy symmetry is a source of momentum.(C) 2011 Elsevier B.V. All rights reserved.
Year
DOI
Venue
2011
10.1016/j.ejor.2011.05.012
European Journal of Operational Research
Keywords
DocType
Volume
(P) Finance,Graph theory,Momentum,Quantum probability,Spectral analysis
Journal
214
Issue
ISSN
Citations 
3
0377-2217
1
PageRank 
References 
Authors
0.37
2
3
Name
Order
Citations
PageRank
Monica Billio1165.69
Ludovic Calès210.37
Dominique Guégan352.25