<r>ok...first, you have to show that the value of the floating leg is: 1-DF(N)then you have to impose that: 1-DF(N)=fixed_rate*Sum(DF(1,.....,N))i.e. 1-DF(N)-fixed_rate*Sum(DF(1,.....,N))=0i.e. fixed_rate= [1-DF(N)]/Sum(DF(1,.....,N))P.S. the first step is just the usual time value of money...Sorry ...