Questions 5

Build an n=10-period binomial model for the short-rate, ri,j. The lattice parameters are: r0,0=5%, u=1.1, d=0.9 and q=1q=1/2.

Compute the initial value of a swap with expiration t = 11 and a fixed rate of 4.5%. (The first payment takes place at t = 1 and the final payment takes place at t = 11.) You should assume a swap notional of 1 million and assume that you receive floating and pay fixed.)