Is my understanding of the timeline of fixings for EUR and USD swaps correct? This is my current understanding:
EUR: Vanilla swaps have been based on LIBOR, and OIS swaps have been based on EONIA. However, since 2019, both of these have been replaced by swaps based on ESTR.
USD: Vanilla swaps have been based on LIBOR, and OIS swaps have been based on the FF rate. However, since 2019, the former has been replaced by swaps based on SOFR, however OIS swaps based on the FF rate still exist concurrently.
Furthermore, what is the equivalent timeline for the discounting curves used for these products? Is there a convention here, and has that convention changed in recent years (or at some other point in the past?) Do we always use the same rate as the fixing (e.g. LIBOR before the transition and the RFR rate after the transition?).