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Suppose that OIS rates of all maturities are 6% per annum, continuously compounded. The one-year LIBOR...

Suppose that OIS rates of all maturities are 6% per annum, continuously compounded. The one-year LIBOR rate is 6.4%, annually compounded and the two-year swap rate for a swap where payments are exchanged annually is 6.8%, annually compounded. Which of the following is closest to the LIBOR forward rate for the second year when LIBOR discounting is used and the rate is expressed with annual compounding

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Answer #1

In two-year swap forward rate corresponding to first exchange is one-year zero rate or 6.4%. That is, when fixed rate is paid, value of the exchange per $100 in principal is $100*(6.4%-6.8%)e^(−6%*1)=-$0.3767. If F is forward rate for 2nd year, then (F-6.8%)e^(-6%*2)=0.3767 implying F=0.07225 or 7.225%

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