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Company X wants to borrow 1 mln dollars at a fixed rate and company Y wants to borrow 1 mln dollars at a floating rate.

Company X wants to borrow 1 mln dollars at a fixed rate and company Y wants to borrow 1 mln dollars at a floating rate. On their own, Company X can borrow either at 9% fixed or at LIBOR+3% floating, while Company Y can borrow either at 8% or at LIBOR+2.5%. Assume that that in a mutually beneficial swap one company borrows 1 mln dollars from the other at LIBOR +2% in exchange for paying X%, and the companies split the QSD equally. Find X.

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