Canonical portfolios: Optimal asset and signal combination

Nikan Firoozye, Vincent Tan and Stefan Zohren

Journal of Banking & Finance, 2023, vol. 154, issue C

Abstract: This paper presents a novel framework for analyzing the optimal asset and signal combination problem. Our approach builds upon the dynamic portfolio selection problem introduced by Brandt and Santa-Clara (2006) and consists of two stages. First, we reformulate their original investment problem into a tractable one that allows us to derive a closed-form expression for the optimal portfolio policy that is scalable to large cross-sectional financial applications. Second, we recast the problem of selecting a portfolio of correlated assets and signals into selecting a set of uncorrelated managed portfolios through the lens of Canonical Correlation Analysis of Hotelling (1936). The new investment environment of uncorrelated managed portfolios offers unique economic insights into the joint correlation structure of our optimal portfolio policy. We also operationalize our theoretical framework to bridge the gap between theory and practice, showcasing the improved performance of our proposed method over natural competing benchmarks.

Keywords: Canonical correlation analysis; Dynamic portfolio selection; Mean-variance analysis (search for similar items in EconPapers)
JEL-codes: C1 D81 G11 (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Working Paper: Canonical Portfolios: Optimal Asset and Signal Combination (2023)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:jbfina:v:154:y:2023:i:c:s0378426623001577

DOI: 10.1016/j.jbankfin.2023.106952

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