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荷间心素 · 2019年05月03日

问一道题:NO.PZ201902210100000106 第6小题 [ CFA III ]

* 问题详情,请 查看题干

问题如下图:

选项:

A.

B.

C.

解释:

为何在比较hedged到哪个币值好的时候,要用6m libor,不用其他期限的利率做比较?不是比较hedg还是不hedg好,而是比较hedg到哪个币种的情况下,应该不受6m期限限制啊

1 个答案

发亮_品职助教 · 2019年05月05日

他这里是这样:整个这道题的预期是预期到未来6个月内收益率曲线Stable所以Carry trade的投资策略只做这6个月。题干其实也有句子表明这这点:

Winslow expects yields in the US, Euro, UK, and Greek markets to remain stable over the next six months.......

Based on these views, Winslow is considering three types of trades. First, she is looking at carry trades, with or without taking currency exposure, among her three base currency markets.


这样的话,因为Carry trade是做6个月,如果要Hedge成其他的货币,只需签订一个6个月的Currency Forward即可,即在Carry trade结束后结算收益时Hedge成其他货币。

使用Forward hedege的收益为:(F-S)/S,如果题目给了F是多少,直接带即可。但是本题没给,所以需要我们利用Covered interest parity导一下。

Hedge时使用的Forward按照Covered interest parity,对于Forward的定价为:

因为是为6个月的Forward定价,所以等式右边的外国利率和本国利率都是6-month利率。

然后对这个进行变形,近似得到下面:

这样的话,发生上面式子左边其实就是利用Forward进行Hedge的收益,这是我们想算的收益,右边就是两国利率相减,因为是对6个月的Forward进行定价的,所以这个式子里面的利率都是6个月利率。

所以算Forward hedge的近似收益时,直接就用两国6个月的利率相减即可。这也就是本题算Hedge收益时,是用两国6个月利率相减的原因。


总结一下:三级固收这里,算Forward hedge的近似收益,用上面的近似公式即可,两国利率直接相减。使用到的利率和Forward的期限一致。因为本题是6个月的Forward进行Hedge,所以算Forward的Hedge收益率时,用6个月的利率即可。

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