  We deal with Calder\'on's problem in a layered anisotropic medium
$\Omega\subset\mathbb{R}^n$, $n\geq 3$, with complex anisotropic admittivity
$\sigma=\gamma A$, where $A$ is a known Lipschitz matrix-valued function and
$\gamma$ is an unknown complex-valued function, assumed to be affine on each
layer of $\Omega$. We provide H\"{o}lder and Lipschitz stability estimates of
$\sigma$ in terms of an ad hoc misfit functional as well as the more classical
Dirichlet to Neumann map localised on some open portion $\Sigma$ of
$\partial\Omega$, respectively.
