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必过1030_ · 2020年01月26日

问一道题:NO.PZ201902210100000106

* 问题详情,请 查看题干

问题如下:

If Winslow is allowed to hedge into any of the currencies, she can obtain the highest expected returns by

选项:

A.

buying the Greek 5-year in each portfolio and hedging it into Pesos.

B.

buying the Greek 5-year in each portfolio and hedging it into USD.

C.

buying the Mexican 5-year in each portfolio and not hedging the currency.

解释:

A is correct.

As shown in the previous question, the Greek bond is the most attractive. Although the Peso is expected to depreciate by 2% against the EUR and the GBP and by 1% against the USD, this is less than the benefit of hedging EUR into MXN (+3.475%). The net currency component of the expected return is +1.475% = (3.475% – 2.0%) for the EUR and GBP portfolios and +2.475% = (3.475% – 1.0%) for the USD-denominated portfolio. Hedging into GBP would add only 0.175% for any of the portfolios. Hedging into USD would reduce expected return for any of the portfolios because the pick up on the hedge (+0.625%) is less than the expected depreciation (–1.0%) of the USD against the Euro and GBP.

B is incorrect. Hedging the Euro-denominated Greek bond into USD would reduce expected return for any of the portfolios because the pick on the hedge (+0.625%) is less than the expected depreciation of the USD against the Euro and GBP.

C is incorrect. As shown above, the Greek bond is more attractive than the Mexican bond.

The net currency component of the expected return is +2.475% = (3.475% – 1.0%) for the USD-denominated portfolio. Hedging into GBP would add only 0.175% for any of the portfolios. 


这是什么意思?

1 个答案

发亮_品职助教 · 2020年02月03日

嗨,从没放弃的小努力你好:


“The net currency component of the expected return is +2.475% = (3.475% – 1.0%) for the USD-denominated portfolio. Hedging into GBP would add only 0.175% for any of the portfolios. 

这是什么意思?”


这是一道原版书Case题,这道题需要基于上面一道题,如下,要基于27题:

 

 

在第27题里,我们已经选出来了Greek bond是最好的债券,所以我们在所有的Portfolio里,都买了这支Greek bond。

然后这道题的要求是,我们可以把Portfolio里的这支Greek bond利用Forward Hedge成任意一种外汇,目标就是通过Forward的Hedge在额外赚取一笔外汇收益。

利用Forward把一种货币Hedge成另外一种货币,Hedge的收益约定于两国的利率差;因为Forward的期限是6个月的期限,所以是两国6个月的利率差。

 

根据这道题的利率表格,发现如果我们把EUR hedge成MXN,利用Forward获得的汇率收益最大,利用Forward hedge外汇产生的收益约等于两国的利率差,因为Hedge的目标货币是MXN,所以MXN的6个月利率应该在减号前面。所以把Greek bond的EUR收益,Hedge成MXN的收益为:

(7.10% - 0.15%) / 2 = 3.475%

虽然上面的利率数据都是6个月的利率数据,但是表格里给的是年化利率,所以要除以2。

对于USD Portfolio,我们利用6个月的Forward先把Greek bond的EUR收益Hedge成MXN,产生的收益是3.475%,但终究我们是USD portfolio,还需要把MXN的收益再换回USD。

根据题干信息:

Mexican Peso will depreciate by 2% against the Euro, the US Dollar will depreciate by 1% against the Euro, and the British Pound will remain stable versus the Euro

MXN相对EUR贬值2%,USD相对EUR贬值1%,所以MXN相对USD贬值1%。(本题近似)

所以,将来把MXN换回USD,我们会损失1%,所以我们先把USD账户里Greek bond的EUR收益通过Forward hedge成MXN收益,赚取3.475%的额外收益,再把MXN换回USD损失1%,这样一来一回的净收益为:

(3.475% - 1%)=2.475%

这就是答案里2.475%的意思。


相反,如果把Greek bond的EUR收益,Hedge成GBP,产生的收益为:

(0.50%-0.15%)/ 2 = 0.175%

Hedge成GBP产生的收益只有0.175%,远远小于Hedge成MXN 3.475%的收益。

如果要算Hedge成GBP的净收益的话,对于USD账户,利用Forward把Greek bond的EUR收益,Hedge成GBP,产生的收益为0.175%,再把GBP换回USD,损失1%,所以这一来一回净收益是:0.175% - 1%,收益为负数,显然不如2.475%的收益。


-------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!


jianghaiyang · 2020年10月27日

请问老师,为啥无论谁换成谁,最终都要换成美元,文章里和题目小项里提到了吗?

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