Multiple yield curve modelling with CBI processes

نویسندگان

چکیده

We develop a modelling framework for multiple yield curves driven by continuous-state branching processes with immigration (CBI processes). Exploiting the self-exciting behavior of CBI jump processes, this approach can reproduce relevant empirical features spreads between different interbank rates. In particular, we introduce multi-curve models flow tempered alpha-stable processes. Such are especially parsimonious and tractable, generate contagion effects among spreads. provide complete analytical framework, including detailed study discounted exponential moments The proposed allows explicit valuation formulae all linear interest rate derivatives semi-closed non-linear via Fourier techniques quantization. show that simple specification model be successfully calibrated to market data.

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ژورنال

عنوان ژورنال: Mathematics and Financial Economics

سال: 2021

ISSN: ['1862-9679', '1862-9660']

DOI: https://doi.org/10.1007/s11579-020-00289-4