It is well known that the conventional CUSUM test suffers from low power and large detection delay. We therefore propose two alternative detector statistics. The backward CUSUM detector sequentially cumulates the recursive residuals in reverse chronological order, whereas the stacked backward...

Firms provide substantial insurance against wage fluctuations and job loss. This paper studies how the interaction between shock size and persistence affects the firm’s ability to insure workers against idiosyncratic firm-level shocks. Using linked employer-employee data from Germany, I find...