Suppose that f1nbspand f2nbspare two futures contracts on

Question

Suppose that F₁ and F₂ are two futures contracts on the same commodity with times to maturity, t₁ and t₂, where t₂ > t₁. Prove that

where r is the interest rate (assumed constant) and there are no storage costs. For the purposes of this problem, assume that a futures contract is the same as a forward contract.