We analyse nominal exchange rate and price dynamics after risk premium shocks with short-term interest rates constrained by the zero lower bound (ZLB). In a small-open-economy DSGE model, temporary risk premium shocks lead to shifts of the exchange rate and the price level if a central bank implements an inflation target by means of a traditional Taylor rule. These shifts are strongly amplified and become more persistent once the ZLB is included in the model. We also provide empirical support for this finding. Using a Bayesian VAR for Switzerland, we find that responses of the exchange rate and the price level to a temporary risk premium shock are larger and more persistent when the ZLB is binding. Our theoretical discussion shows that alternative monetary policy rules that stabilise price-level expectations are able to dampen exchange rate and price fluctuations when the ZLB is binding. This stabilisation can be achieved by including either the price level or, alternatively, the nominal exchange rate in the policy rule.