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In a sticky-price model with labor market search and matching frictions, forecast-based interest rate policy almost always induces indeterminacy when it is strictly inflation targeting and satisfies the Taylor principle. Indeterminacy is due to a vacancy channel of monetary policy that makes inflation expectations self-fulfilling. The effect of this channel strengthens as the sluggishness of the adjustment of employment relative to that of consumption increases. When this relative sluggishness is high, the Taylor principle fails to ensure determinacy, regardless of whether the policy is forecast-based or outcome-based, whether it is strictly or flexibly inflation targeting, or contains policy rate smoothing.

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In sticky price models based on micro evidence that each period a fraction of prices are kept unchanged, recent studies reach the qualitatively equivalent conclusion that higher trend inflation is a more serious source of indeterminacy of rational expectations equilibrium, regardless of whether labor is firm-specific or homogeneous. This paper shows that the model with firm-specific labor is more susceptible to indeterminacy induced by high trend inflation than the model with homogeneous labor, because these two different specifications of labor lead to distinct representations of inflation dynamics. In addition, the model with firm-specific labor is more susceptible to expectational instability of the equilibrium caused by high trend inflation.

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