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Canonical Portfolios: Optimal Asset and Signal Combination

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  • Nikan Firoozye
  • Vincent Tan
  • Stefan Zohren

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.

Suggested Citation

  • Nikan Firoozye & Vincent Tan & Stefan Zohren, 2022. "Canonical Portfolios: Optimal Asset and Signal Combination," Papers 2202.10817, arXiv.org, revised Jul 2023.
    • Handle: RePEc:arx:papers:2202.10817
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    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General

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