NO.PZ2020012005000040
问题如下:
Suppose that F1 and F2 are the futures prices on the same commodity with maturities t1 and t2 with t2 > t1. Storage costs are negligible. The risk-free rate is R for all maturities. Use an arbitrage argument to show that:
解释:
A trader can enter into a long futures contract with maturity t1 and a short futures contract with maturity t2. At time t1 F1 is borrowed and the asset is bought for F1. The loan is repaid at time t2 and the asset is sold for F2.
The cash flows are
Time , and
Time
This simple strategy is certain to lead to a profit at time t2 if:
Thus, the prices will adjust such that:
老师,您好。F2和F1调整无风险利率后的资产价值应该相等,题目中F2更小存在套利机会。那是不是应该低买高卖,longF2 shortF1 呀