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emma爱地球 · 2024年07月13日

远期合约VALUE

NO.PZ2021061002000063

问题如下:

A client owns 1,000 common non-dividend-paying shares of K company, at a spot price of AUD124 per share. The client enters into a forward commitment to sell all the position in three months at a price of AUD 128.4.

Which of the following market events is most likely to result in the greatest loss in the forward contract MTM value from the client’s perspective?

选项:

A.

The rise in the risk-free interest rate.

B.

A fall in the risk-free interest rate.

C.

An immediate decline in the VIVU spot price following contract inception.

解释:

中文解析:

根据题干可知,客户想要通过远期合约在3个月后减少持有的股票头寸,因此他应该进入的是short forward头寸。

Short forward头寸下,MTM value = F0(T)/(1+r)T-t - St

由上式可以看到:无风险利率上涨会使得MTM value下降,也就是会产生loss。因此选A

而股票价格下跌,以及无风险利率的下跌会使得MTM value增加。

从逻辑上说,有一点不理解为什么forward contracts,在0时刻,v=0? 那是说在初始时,这个远期合约没有价值吗?感觉怪怪的,我花了钱去买了一个没有价值的东西? 怎么理解才是正确的呢?谢谢

1 个答案

李坏_品职助教 · 2024年07月13日

嗨,努力学习的PZer你好:


在初始时,这个远期合约没有价值,没错是这样的。

如果0时刻就有价值,那么对多头来说价值大于0,对空头来说价值是小于0,也就是多头占了便宜,空头肯定不愿意签合约。


远期合约在0时刻不需要你花费任何钱,你只是签合约而已。过了0时刻,价值才会出现大于0或小于0的变化,一直等到到期日T时刻,再去完成履约,兑现这个价值。



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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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