The weak convergence order of two Euler-type discretization schemes for the log-Heston model

We study the weak convergence order of two Euler-type discretizations of the log-Heston Model where we use symmetrization and absorption, respectively, to prevent the discretization of the underlying CIR process from becoming negative. If the Feller index $ν$ of the CIR process satisfies $ν>1$, we establish weak convergence order one, while for $ν\leq 1$, we obtain weak convergence order $ν-ε$ for $ε>0$ arbitrarily small. We illustrate our theoretical findings by several numerical examples.

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