Eurodollar futures contract vs T-bill futures contract?

CFA Level II
#1

What is the difference between a Eurodollar futures contract and a T-bill futures contract?

#2

And why does a long Eurodollar futures contract increase in value if interest rates fall?

#3

Different benchmarks… interest rates fall = bond price rises… therefore a futures contract on a bond will increase in price

#4

Eurodollars = LIBOR TBill = Tbills Both are discount instruments (aka zeros) so they are extremely sensitive to movements in interest rates. Typical bond/interest rate relationship.