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Olivia.W🌸 · 2024年04月21日

F0T是X吗?

NO.PZ2023040401000012

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.

这两我有点混乱,什么时候用f0T什么时候用X?这里为啥不是X?

1 个答案

李坏_品职助教 · 2024年04月21日

嗨,从没放弃的小努力你好:


X是用在期权(call option或put option)里面,本题说的是 forward contract,这是远期合约。

X的意思是执行价格,只有期权才有执行价格的概念,远期合约是没有这个概念的。


而F0(T)指的是在0时刻确定下来的远期合约交割价格,也是0时刻的远期价格。这个意思是,远期合约的多头必须要在合约到期日,向空头支付F0(T)这么多钱买入货物。在远期合约里,多头必须付钱,空头也必须交货。


而期权里面,期权的买方可以选择执行或者不执行权利,对于call option的买方来说,他可以在到期日按照X的执行价格从期权卖方手里买入资产,他也可以不执行权利。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!