Floating rate bond

Let T0, T1, … , Tn be a sequence of times with Ti+1 = Ti + α for a constant α > 0. A floating rate bond with notional 1, start date T0 and maturity Tn pays libor coupons of αLTi [Ti, Ti + α] at times Ti+1, for i = 0, … , n – 1, and notional 1 at Tn.
(a) Find the price at t 0 of the floating rate bond.
(b) Using a replication argument, find the forward price at t for the floating rate bond (for a forward contract with maturity Floating rate bond Let T0, T1, … , Tn be a sequence of times with Ti+1 = Ti + α for a constant α > 0. A floating rate bond with notional 1, start date T0 and maturity Tn pays libor coupons of αLTi [Ti, Ti + α] at times Ti+1, for i = 0, … , n – 1, and notional 1 at Tn.
(a) Find the price at t 0 of the floating rate bond.
(b) Using a replication argument, find the forward price at t for the floating rate bond (for a forward contract with maturity T), t 0.T), t 0.

Floating rate bond