  We calculate the strange magnetic moment of the nucleon on a quenched $16^3
\times 24$ lattice at $\beta = 6.0$, and with Wilson fermions at $\kappa$ =
0.148, 0.152, and 0.154. The strange quark contribution from the disconnected
insertion is estimated stochastically by employing the $Z_2$ noise method.
Using an unbiased subtraction along with the help of charge conjugation and
hermiticity, we reduce the error by a factor of 2 with negligible overhead. Our
result is $G_{M}^{s} = -0.28\pm0.10 \mu_{N}$.
