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Since the limit $H\\rightarrow\\frac{1}{2}$ of the SDE corresponds to a Stratonovich SDE driven by standard Brownian motion, and the naive Euler scheme is the extension of the classical Euler scheme for It\\^{o} SDEs for $H=\\frac{1}{2}$, the convergence rate of the naive Euler scheme deteriorates for $H\\rightarrow\\frac{1}{2}$. 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