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J.P. Morgan sells a 3 against 12 FRA for $1m at an annualized rate of 4.75%. Three months after the sale, interest rates have the

J.P. Morgan sells a "3 against 12" FRA for $1m at an annualized rate of 4.75%. Three months after the sale, interest rates have the following term structure: Maturity (months) Interest rate 3 4% 6 4,5% 9 5% 12 5,5% 


a. How much cash does the bank pay to, or receive from, the FRA buyer?

b. What is J.P. Morgan's effective lending rate for the 270-day lending period?

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