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We study optimal monetary policy and welfare properties of a dynamic stochastic general equilibrium (DSGE) model with a labor selection process, labor turnover costs, and Nash bargained wages. We show that our model implies inefficiencies that cannot be offset in a standard wage bargaining regime. We also show that the inefficiencies rise with the magnitude of firing costs. As a result, in the optimal Ramsey plan, the optimal inflation volatility deviates from zero and is an increasing function of firing costs.