I have some difficulty imagining how we would in practice pursue secondary objectives in parallel with a primary goal, having only an interest rate at our disposal. There would occasionally be scope to let those secondary concerns weigh in the setting of rates, but it could never be anything systematic and consistent.
One wonders whether analytically a case can credibly be made for such on/off occasional fine tuning of occasional objectives. In popular political debate, there are, as you know, constant demands of this kind, so this is not an impertinent remark to make. Having expectations of low inflation, i.e.