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Allez😃Sea · 2020年08月14日

问一道题:NO.PZ2018062007000058

问题如下:

Which of the following statements best describes the payoff from a forward contract?

选项:

A.

The buyer has more to gain going long than the seller has to lose going short.

B.

The buyer profits if the price of the underlying at expiration exceeds the forward price.

C.

The gains from owning the underlying versus owning the forward contract are equivalent.

解释:

B is correct. The buyer is obligated to pay the forward price F0(T) at expiration and receives an asset worth ST, the price of the underlying. The contract effectively pays off ST – F0(T), the value of the contract at expiration. The buyer therefore profits if ST > F0(T). A is incorrect because the long and the short are engaged in a zero- sum game. This is a type of competition in which one participant’s gains are the other’s losses, with their payoffs effectively being mirror images. C is incorrect because although the gain from owning the underlying and the gain from owning the forward are both driven by ST, the price of the underlying at expiration, they are not the same value. The gain from owning the underlying would be ST – S0, the change in its price, whereas the gain from owning the forward would be ST – F0(T), the value of the forward at expiration.

老师The gains from owning the underlying versus owning the forward contract are equivalent.针对这个c选项,我还是不理解,我觉得是对的。如果水涨价了,有水的卖家也赚了,期权约定方比如3块5一瓶的到期涨到4块了,也赚到了。这双方不是对等的gain吗

1 个答案

xiaowan_品职助教 · 2020年08月15日

嗨,从没放弃的小努力你好:


同学你好,

举个例子,在0时刻水价值3元,此时远期合约价格3.5(也就是说远期合约的买方可以以3.5在T时刻购买水),T时刻,水实际的价格是4元。

那么,单纯持有水的收益是4-3 = 1元,而购买远期合约的收益是4-3.5 = 0.5元


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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!


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