An optimizing model of a small open emerging market economy (SOEME) with dualistic labor markets and two types of consumers, delivers a tractable model for monetary policy. Differences between the SOEME and the SOE are derived. Parameters depend on features of the labor market and on consumption inequality, and affect the natural interest rate, terms of trade and potential output. The supply curve turns out to be flatter and more volatile, with a larger number of shift factors, including policy-determined terms of trade. A simple basic version of the model is simulated in order to compare different policy targets in response to a cost shock. Flexible domestic inflation targeting gives the lowest volatility although there are trade-offs. Exchange rate volatility is relatively lower but still makes a major contribution to controlling inflation. Flexible CPI inflation targeting performs better when combined with some kind of managed floating. Inflation targeting has to be flexible. With more backward-looking behavior the policy response to a shock is reduced.