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Characteristic functions in the Cheyette Interest Rate Model


  • Beyna, Ingo
  • Wystup, Uwe


We investigate the characteristic functions of multi-factor Cheyette Models and the application to the valuation of interest rate derivatives. The model dynamic can be classiffied as an affine-diffusion process implying an exponential structure of the characteristic function. The characteristic function is determined by a model specific system of ODEs, that can be solved explicitly for arbitrary Cheyette Models. The necessary transform inversion turns out to be numerically stable as a singularity can be removed. Thus the pricing methodology is reliable and we use it for the calibration of multi-factor Cheyette Models to caps.

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  • Beyna, Ingo & Wystup, Uwe, 2011. "Characteristic functions in the Cheyette Interest Rate Model," CPQF Working Paper Series 28, Frankfurt School of Finance and Management, Centre for Practical Quantitative Finance (CPQF).
  • Handle: RePEc:zbw:cpqfwp:28

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    Cheyette Model; Characteristic Function; Fourier Transform; Calibration of Multi-Factor Models;

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