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Preservation of structural properties of the CIR model by θ-Milstein schemes

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The ability of theta-Milstein methods with theta >= 1 {\theta\geq 1} to capture the non-negativity and the mean-reversion property of the exact solution of the CIR model is shown. In addition, the order of convergence and the preservation of the long-term variance is studied. These theoretical results are illustrated with numerical examples.

CIR modelmean-reversionnon-negativitystochastic numerical methodimplicit MilsteinSTRONG APPROXIMATIONSTRONG-CONVERGENCE

Llamazares-Elias, Samir、Tocino, angel Andres

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Univ Salamanca

2025

Monte carlo methods and applications

Monte carlo methods and applications

ISSN:0929-9629
年,卷(期):2025.31(2)
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