Chapter 4 situates the beginnings of extroverted financialisation at the time when US banks started to dominate the Eurodollar markets from the 1960s onwards. The Euromarkets are an important turning point for financialisation, but their impacts on European finance are rarely examined. During this time, however, German banks had their first contact with new US innovations, which fundamentally links the German post-WWII political economy with global offshore markets, significantly before the 1990s, when many accounts date the impact of financial globalisation. Identifying a gap of international funding for its developing export sector, this chapter shows that the making of the German coordinated market economy was already bound up with global financial markets. Tracing the financial innovations of German banks, this chapter argues that the transformative impact of US finance is not market expansion or regulatory evasion by going offshore per se. Instead, financialisation has posed distinct imperatives in relation to the rise of liability management that induced a qualitative change. Liability management fundamentally differs from the German banks’ original international strategies, which drove the banks' turn to the Eurodollar markets in order to meet the US challenge.