  The magnetic dipole moment of the $\Delta (1232)$ is calculated in the
framework of manifestly Lorentz-invariant baryon chiral perturbation theory in
combination with the extended on-mass-shell renormalization scheme. As in the
case of the nucleon, at leading order both isoscalar and isovector anomalous
magnetic moments are given in terms of two low-energy constants. In contrast to
the nucleon case, at next-to-leading order the isoscalar anomalous magnetic
moment receives a (real) loop contribution. Moreover, due to the unstable
nature of the $\Delta (1232)$, at next-to-leading order the isovector anomalous
magnetic moment not only receives a real but also an imaginary loop
contribution.
