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We study an affine two-factor model introduced by Barczy et al. (2014). Onecomponent of this two-dimensional model is the so-called $\alpha$-root process,which generalizes the well known CIR process. In this paper, we show that thisaffine two-factor model is exponentially ergodic when $\alpha\in(1,2)$.

Exponential ergodicity of an affine two-factor model based on the $\alpha$-root process