Banker's rounding is "round to even", because it limits the amount of bias introduced by the rounding.
> But I know the regulator will expect round(0.5) = 1, not 0.
That's not necessarily the most helpful, as there's at least two tie-breakings which provide that, but differ in their treatment of negative numbers (round up or round to +∞, and round away from zero or round to ∞).
