Suppose that all 12-month LIBOR forward rates are 5% with annual compounding. The OIS zero curve is

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Suppose that all 12-month LIBOR forward rates are 5% with annual compounding. The OIS zero curve is flat at 4.8% with continuous compounding. In a five-year swap, company X pays a fixed rate of 6% and receives LIBOR. The volatility of the two-year swap rate in three years is 20%.

(a) What is the value of the swap?

(b) Use DerivaGem to calculate the value of the swap if company X has the option to cancel after three years.

(c) Use DerivaGem to calculate the value of the swap if the counterparty has the option to cancel after three years.

(d) What is the value of the swap if either side can cancel at the end of three years?

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