Sunday, April 17, 2011

interest rate floor: valuation

[Question]
If 1-year LIBOR at the end of year 2 is 5.8%, the absolute value of a position (long or short) in the 2-year, 6%, $30 million interest rate floor at the end of year 2 is:

Answer:
(6%-5.8%)*$30,000,000/(1+5.8%) = 56,710.78

The floor pays off in arrears, so the $60,000 payoff is made at the end of the third year, and the floor value at maturity is the present value of the $60,000 payoff discounted 1 year at 5.8%.

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