This problem examines the role of a financial intermediary in arranging two separate interest rate swaps with

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This problem examines the role of a financial intermediary in arranging two separate interest rate swaps with two companies that would like to transform a floating rate loan into a fixed rate loan and vice versa. Consider the following situation: 

Company A aims at transforming a fixed rate loan paying 6.2% per annum into a floating rate loan paying LIBOR + 0.2%. 

Company B aims at transforming a floating rate loan paying LIBOR + 2.2% into a fixed rate loan paying 8.4% per annum.

Instead of having these two companies getting in touch directly to arrange an interest rate swap, how can a financial intermediary design separate interest swaps with the two companies and secure a profit on the spread of the borrowing rates?  

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