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Analysing Global Fixed Income Markets with Tensors

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  • Bruno Scalzo Dees

Abstract

Global fixed income returns span across multiple maturities and economies, that is, they naturally reside on multi-dimensional data structures referred to as tensors. In contrast to standard "flat-view" multivariate models that are agnostic to data structure and only describe linear pairwise relationships, we introduce a tensor-valued approach to model the global risks shared by multiple interest rate curves. In this way, the estimated risk factors can be analytically decomposed into maturity-domain and country-domain constituents, which allows the investor to devise rigorous and tractable global portfolio management and hedging strategies tailored to each risk domain. An empirical analysis confirms the existence of global risk factors shared by eight developed economies, and demonstrates their ability to compactly describe the global macroeconomic environment.

Suggested Citation

  • Bruno Scalzo Dees, 2019. "Analysing Global Fixed Income Markets with Tensors," Papers 1908.02101, arXiv.org, revised Dec 2019.
    • Handle: RePEc:arx:papers:1908.02101
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    References listed on IDEAS

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    3. Driessen, J.J.A.G. & Melenberg, B. & Nijman, T.E., 2003. "Common factors in international bond returns," Other publications TiSEM 06a83942-b625-4d3c-808c-a, Tilburg University, School of Economics and Management.
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    5. Juneja, Januj, 2012. "Common factors, principal components analysis, and the term structure of interest rates," International Review of Financial Analysis, Elsevier, vol. 24(C), pages 48-56.
    6. Ledyard Tucker, 1958. "An inter-battery method of factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 23(2), pages 111-136, June.
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