The rank of the Hankel matrix, corresponding to a system transfer function, is equal to the order of its minimal state space realization. The computation of the rank of the Hankel matrix is complicated by the fact that its block elements are rarely given exactly but are estimated instead. In...

The rank of the spectral density matrix conveys relevant information in a variety of modelling scenarios. Phillips (1986) showed that a necessary condition for cointegration is that the spectral density matrix of the innovation sequence at frequency zero is of a reduced rank. In a recent paper...

Testing and estimating the rank of a matrix of estimated parameters is key in a large variety of econometric modelling scenarios. This paper describes general methods to test for and estimate the rank of a matrix, and provides details on a variety of modelling scenarios in the econometrics...

This paper provides evidence on whether the creation of the euro has changed the way global turbulences affect euro area and other economies. Specifically, it considers the impact of global shocks on the competitiveness of individual euro area countries and assesses whether their responses to...

This paper tests for uncovered interest parity (UIP) at distant horizons for the US and its main trading partners, including both mature and emerging market economies, also exploring the existence of nonlinearities. At long and medium horizons, it finds support in favour of the standard, linear,...

This paper analyses the impact of the shift away from a US dollar focus of systemically important emerging market economies (EMEs) on configurations between the US dollar, the euro and the yen. Given the difficulty that fixed or managed US dollar exchange rate regimes remain pervasive and...

This paper assesses whether the international monetary system is already tripolar and centred around the US dollar, the euro and the Chinese renminbi (RMB). It focuses on what we call China’s “dominance hypothesis”, i.e. whether the renminbi is already the dominant currency in Asia,...

I estimate the transmission of large global volatility shocks in international equity markets from the earlier (pre-1914) to the modern era of globalisation. To that end, I identify 43 such shocks over the period 1885-2011, defined as significant increases in unanticipated volatility in US...

We analyze, for the first time, how firms choose the currency in which they price transactions in international trade of services and investigate, using direct evidence, whether the US dollar (USD) plays a dominant role in services trade. Drawing on a new granular dataset on extra-European Union...

This paper presents the most comprehensive and up-to-date panel data set of invoicing currencies in global trade. It provides data on the shares of exports and imports invoiced in US dollars, euros, and other currencies for more than 100 countries since 1990. The evidence from these data...