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20212023
most citedSharp -Approximation of the log-Heston SDE by Euler-type methods

2 citations · 2 across the 5 of their papers we have counts for

collaborators

5 papers

q-fin.MF2023

Worst-Case Optimal Investment in Incomplete Markets

Sascha Desmettre, Sebastian Merkel, Annalena Mickel +1

We study and solve the worst-case optimal portfolio problem as pioneered by Korn and Wilmott (2002) of an investor with logarithmic preferences facing the possibility of a market c…

math.NA2023

On the convergence order of the Euler scheme for scalar SDEs with Hölder-type diffusion coefficients

Annalena Mickel, Andreas Neuenkirch

We study the Euler scheme for scalar non-autonomous stochastic differential equations, whose diffusion coefficient is not globally Lipschitz but a fractional power of a globally Li…

math.NA2022

The order barrier for the -approximation of the log-Heston SDE at a single point

Annalena Mickel, Andreas Neuenkirch

We study the -approximation of the log-Heston SDE at the terminal time point by arbitrary methods that use an equidistant discretization of the driving Brownian motion. We sho…

math.NA2022★ 2 cited

Sharp -Approximation of the log-Heston SDE by Euler-type methods

Annalena Mickel, Andreas Neuenkirch

We study the -approximation of the log-Heston SDE at equidistant time points by Euler-type methods. We establish the convergence order for arbitrarily small, if…

math.NA2021

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

Annalena Mickel, Andreas Neuenkirch

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 discretizatio…