This paper estimates a job search model with savings on Danish micro data that include observations on wealth and wages. Controlling for extensive observed and unobserved worker characteristics heterogeneity, the estimation relates observed unemployment spells to the model implied hazard rate for each worker. The model estimates are sensible and fit the data well. Optimal UI policy is determined in the estimated model as a trade-off between insurance provision and distortion of search incentives. The analysis emphasizes an important policy sensitivity to the interest rate and the importance of including transitional dynamics in the analysis.