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What is the specific difference between future interest rates and forward interest rates?
The difference is the difference between forward (forward contract) and futures (futures contract)

Futures interest rate is interest rate futures, with interest rate as the target and futures exchange as the counterparty. There is no risk of default, and a deposit is required, which is recorded at the market price every day.

Forward interest rate is a kind of interest rate forward contract, with interest rate as the target, and the counterparty is an individual or institution, which does not need a deposit and is due for delivery, so there is a risk of default.