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The forward-looking policy is useful for joint decision-making between public and monetary authorities. The study calculates the monetary policy transparency index, inflation expectations, and their volatility spillover effects at a data-driven angle. Optimization mechanisms of monetary policy transparency influencing inflation and inflation expectations volatility, and transparency index based on market participants’ optimization decisions are analysed. Multivariate stochastic volatility models for measuring the volatility of inflation and inflation expectations are analysed. Additionally, the relationships between inflation and inflation expectations volatility and transparency are tested empirically. Tests show that: first, the most suitable models for measuring volatility of inflation and inflation expectations are obtained. Second, monetary policy transparency has a negative effect on the volatility of inflation and inflation expectations. Third, there is a unidirectional Granger relationship from the volatility of inflation expectations to the volatility of inflation, and it indicates that the volatility of inflation expectations has an important guiding effect on that of inflation, and it is necessary to stabilize inflation expectations for stabilizing inflation. Fourth, improving monetary policy transparency can not only reduce inflation, inflation expectations, inflation volatility, inflation expectations volatility, but also reduce the sacrifice rate, that is, to stabilize the price level with less anti-inflation costs.

Information overflow between monetary policy transparency and inflation expectations using multivariate stochastic volatility models