We appreciate the thorough analysis of our paper (de Jong van Lier et al., 2006, referred to as QdJ) made by T. Schröder et al. (2007) and would like to reply to their comments (referred to as TS).

...
In their comment, the correctness of Eq. [45] in QdJ is questioned. The authors derive an analytical solution for the relation between M and r under identical boundary conditions (their Eq. [6]). The result differs from our Eq. [45]: 
\[M_{\mathrm{h}_{0}}{=}\frac{T_{\mathrm{p}}}{2\mathcal{z}}\left[\frac{r^{2}{-}r_{0}^{2}}{2}{+}\left(r_{\mathrm{m}}^{2}{-}r_{0}^{2}\right)\mathrm{ln}\frac{r}{r_{0}}\right]\]
[45] (QdJ)
 
\[M_{\mathrm{h}_{0}}{=}\frac{T_{\mathrm{p}}}{2\mathcal{z}}\left[\frac{r_{0}^{2}{-}r^{2}}{2}{+}\left(r_{\mathrm{m}}^{2}{+}r_{0}^{2}\right)\mathrm{ln}\frac{r}{r_{0}}\right]\]
[6] (TS)
After analysis and comparison of the derivation, we conclude that Eq. [6] (TS) is correct. Equation [45]...

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