This paper estimates a policy rule that explains the sign and the magnitude of the Federal Reserve's (Fed's) discount rate changes. It sets out a two-sided Type II Tobit model and develops a procedure for its estimation, considering the discrete and censored nature of the changes. The results suggest that the Fed has conducted discount rate policy counter-cyclically to influence output and to curb inflation, and that the Fed's response to policy indicators varies over monetary regimes. Furthermore, consistency is found between the model prediction of the discount rate change and a classification based on whether the change is technical or non-technical.