We analyze the implications of trend growth for optimal monetary policy in the presence of search and matching unemployment. We show that trend growth interacts importantly with the inefficiencies stemming from the labor market. Higher trend growth exacerbates the inefficiencies of the labor market and therefore calls for larger deviations from price stability. Our analysis implies that lower trend growth reduces not only the level but also the optimal volatility of the nominal interest rate.

The paper reexamines the long-run Phillips curve in a New Keynesian model with job turnover and trend productivity growth. We show that an increase in money growth has substantial positive effects on steady state output, consumption, and employment in the presence of (i) observed job turnover rates and, if consumption smoothing is sufficiently strong, (ii) observed productive growth rates. Furthermore, we show that the optimal inflation rate is slightly under 2% for reasonable calibrations of job turnover and trend growth.

We analyze the implications of openness and growth for determinacy and learnability of rational expectations equilibria in a two-country New Keynesian model with alternative monetary policy rules. Under the contemporaneous data rule, the conditions for determinacy and learnability become more stringent as a result of openness but less stringent as a result of growth, so that growth weakens the effect of openness. Under the expectations-based rule, the conditions for determinacy and learnability also become more stringent as a result of openness, whereas as a result of trend growth the conditions for determinacy also become more stringent (thus reinforcing the effect of openness) but those for learnability become less stringent (thus weakening the effect of openness). As in related studies, the elasticity of intertemporal substitution is key to our result, but within a framework that is consistent with long-run labor supply and balanced growth facts.