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Modelling jumps with CARMA(p,q)-Hawkes: An application to corporate bond markets

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  • Mercuri, Lorenzo
  • Perchiazzo, Andrea
  • Rroji, Edit

Abstract

In this paper, we employ the CARMA(p,q)-Hawkes model to investigate the intraday jumps observed in the corporate bond prices. We introduce a bivariate extension of the model, which deals with the cross-effect of upward and downward price movements. An empirical analysis is conducted on green and brown bonds with analogous characteristics. The findings indicate that higher-order univariate/bivariate CARMA(p,q)-Hawkes models produce a superior fit in jump activity with respect to Hawkes models with exponential kernels.

Suggested Citation

  • Mercuri, Lorenzo & Perchiazzo, Andrea & Rroji, Edit, 2025. "Modelling jumps with CARMA(p,q)-Hawkes: An application to corporate bond markets," Finance Research Letters, Elsevier, vol. 73(C).
    • Handle: RePEc:eee:finlet:v:73:y:2025:i:c:s1544612324015927
    DOI: 10.1016/j.frl.2024.106563
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    Keywords

    Hawkes; CARMA; Jumps; Green bonds;
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