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A bank sells a three against six $3,000,000 FRA for a three-month period beginning three months from today and ending six months from today. The

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A bank sells a "three against six" $3,000,000 FRA for a three-month period beginning three months from today and ending six months from today. The purpose of the FRA is to cover the interest rate risk caused by the maturity mismatch from having made a three-month Eurodollar loan and having accepted a six-month Eurodollar deposit. The agreement rate with the buyer is 5.9 percent. There are actually 90 days in the three-month FRA period. Assume that three months from today the settlement rate is 5 percent. Determine how much the FRA is worth at the beginning of the FRA in 3-month, which is also the amount of money that the buyer pays the seller pays or the seller pays the buyer (keep two decimals, e.g., 23.33. Assume that there are 360 days a year)

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