There are several measures of association (or contingency or correlation) between two binary variables $p$ and $q$, among others
Pearson's phi coefficient

I wonder how the following number $\kappa$ relates to known measures, if it is statistically interesting, and under which name it is (possibly) discussed:
$$\kappa = 1 - \frac{2}{N}|p \triangle q|$$
with $|p \triangle q|$ the number of samples having property $p$ or property $q$ but not both (exclusive OR, symmetric difference), $N$ the total number of samples. Like the phi coefficient, $\kappa = ± 1$ indicates perfect agreement or disagreement, and $\kappa = 0$ indicates no relationship