I estimate the inflation/output-gap variance trade-off faced by monetary policy makers in the United States. For policy makers who fare about the deviations of inflation around target and output around potential. the estimated trade-off represents the ''optimal policy frontier. Given the structure of the economy, policy makers can do no better than to attain weighted variances of inflation and output that lie on the frontier. I find that the variance trade-off becomes quite severe when the standard deviation of inflation or output drops much below 2 percent. This suggests that approximately balanced responses to policy goals are consistent with reasonable preferences over inflation and output variability.