All of the statements are correct. A synthetic commodity forward price can be derived by combining a long position on a commodity forward, F0,T , and a long zero-coupon bond that pays F0,T at time T. The total cost at time 0 is equivalent to the cost of the bond, e-rTF0,T. The forward contract does not have any initial cash flows at time 0. The payoff at time T is ST – F0,T + F0,T = ST, where ST is the spot price of the commodity at time T. The present value of the expected spot price at time T is E(ST)e–αT. This amount is equivalent to the cost of the bond, e-rTF0,T, because both represent the amount you would pay today to receive the commodity at time T. |