We characterize the contribution of changes in quality, price, and variety entry/exit to the aggregate price index for smooth, invertible demand systems, generalizing the standard results derived in the CES case. The results require the knowledge of heterogeneous cross-product elasticities of substitution. To apply them in practice, we also show how to identify rich demand systems using data only on prices and market shares, without the need for external cost-shock instruments or strong assumptions on the covariance between supply and demand shocks. Using this approach, we compute the U.S. import price index based on the Kimball demand system. We find that quality change on average lowered the inflation in import prices by around 0.007 log points annually (1989–2016). To further validate our approach, we show that it estimates price elasticities and quality changes similar to those found by the standard mixed logit (BLP) demand in data on the U.S. auto market.

This paper provides a unique snapshot of the asset exposures of EU banks to shadow banking entities within the global financial system. Drawing on a rich and novel dataset, we show that 60% of the EU banks’ exposures are towards non-EU entities, particularly US-domiciled shadow banking entities. We assess the degree of concentration across different types of shadow banking counterparties. We show that while banks’ exposures are diversified at the individual level, this diversification leads to high overlap across different types of shadow banking entities, with consequent systemic risk. We also examine how bank- and country-level characteristics relate to the exposures of EU banks to shadow banking entities. Our results emphasise the importance of monitoring these cross-border and cross-sector exposures and closing remaining data gaps.