PublishedThis is the author accepted manuscript. The final version is available from Elsevier via the DOI in this record.New Keynesian models have been criticised on the grounds that they require implausibly large price shocks to explain inflation. Bils et al. (2012) show that, while these shocks are needed to reduce the excessive inflation persistence generated by the models, they give rise to unrealistically volatile reset price inflation. This paper shows that introducing heterogeneity in price stickiness in the models overcomes these criticisms directed at them. The incorporation of heterogeneity in price stickiness reduces the need for large price shocks. With smaller price shocks, the new model comes close to matching the data on rese...