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State space decomposition and classification of term structure shapes in the two-factor Vasicek model

Martin Keller-Ressel and Felix Sachse

Papers from arXiv.org

Abstract: Using the concept of envelopes we show how to divide the state space $\RR^2$ of the two-factor Vasicek model into regions of identical term-structure shape. We develop a formula for determining the shapes utilizing winding numbers and give a nearly complete classification of the parameter space regarding the occurring shapes.

Date: 2023-03
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