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A wavelet-based assessment of market risk: The emerging markets case

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  • António Rua
  • Luís Catela Nunes

Abstract

The measurement of market risk poses major challenges to researchers and different economic agents. On one hand, it is by now widely recognized that risk varies over time. On the other hand, the risk profile of an investor, in terms of investment horizon, makes it crucial to also assess risk at the frequency level. We propose a novel approach to measuring market risk based on the continuous wavelet transform. Risk is allowed to vary both through time and at the frequency level within a unified framework. In particular, we derive the wavelet counterparts of well-known measures of risk. One is thereby able to assess total risk, systematic risk and the importance of systematic risk to total risk in the time-frequency space. To illustrate the method we consider the emerging markets case over the last twenty years, finding noteworthy heterogeneity across frequencies and over time, which highlights the usefulness of the wavelet approach.

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  • António Rua & Luís Catela Nunes, 2012. "A wavelet-based assessment of market risk: The emerging markets case," Working Papers w201203, Banco de Portugal, Economics and Research Department.
    • Handle: RePEc:ptu:wpaper:w201203
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