An AI productivity boom can warrant lower nominal rates even when most gains are anticipated. I derive analytical representations of optimal rates under commitment and discretion in an economy with sticky prices and wages and hand-to-mouth households. Holding the realized productivity path fixed, I vary expectations. Anticipated gains raise the natural rate, but below-target inflation supports real wages and keeps nominal rates lower. Surprises leave the natural rate unchanged, calling for cuts. After surprises, expected redistribution toward hand-to-mouth households calls for deeper rate cuts to sustain savers’ spending. Raising rates requires more anticipation when wages are stickier relative to prices.