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航 · 2020年07月27日

问一道题:NO.PZ2019052801000039 [ FRM I ]

问题如下:

A farmer plans to sell 50,000 tons of soybeans in six months, he decides to purchase futures contracts to hedge against the price deline. The current price of soybeans is $ 508/ton, the contract size is 100 tons, the storage cost for the soybeans is 1.5% per year. The continuously compounded rate is 5%, what's the  price for the futures contract ?

选项:

A.

$35412.

B.

$76634.

C.

$50217.

D.

$52478.

解释:

D is correct.

考点:远期合约定价

解析:

FP  =S0e(r+C)×T=508e(0.05+0.015)×0.5=524.78FP\;=S_0e^{(r+C)\times T}=508e^{(0.05+0.015)\times0.5}=524.78

x100 tons per contract = $52478

能用老师上课讲的画图法解一下吗?谢啦
1 个答案

品职答疑小助手雍 · 2020年07月27日

嗨,从没放弃的小努力你好:


这道题其实不太涉及画图法哈,只是一个单纯的定价问题

现在一个合约量级的spot价格是508*100,只要在复合上storage cost和利率,求一个FV就是远期的定价了。


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