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Find the value of a 5-year collar that guarantees that the min and max interest rates on a LIBOR-based loan (with quarterly resets) are 3.0%

Find the value of a 5-year collar that guarantees that the min and max interest rates on a LIBOR-based loan (with quarterly resets) are 3.0% and 4.0% respectively. The LIBOR zero curve (continuously compounded) is currently flat at 3.6%. Use a flat volatility of 20%. Assume that the principal is $10 mill.

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