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西红柿面 · 2025年02月25日

minimum-variance hedge的一个前提就是Currency之间的Correlation不能太高吗?

NO.PZ2022123002000026

问题如下:

In 2015, Testa informed Fournier that he had taken large positions in both a New Zealand firm and an Australian packaging firm. The positions were roughly equal in size in terms of the US dollar. Fournier informed Testa that the correlation between USD/AUD and USD/NZD was approximately 0.85. Given the size of the positions, Testa indicated that he wished to minimize any foreign exchange exposure.

The most appropriate hedging strategy for the 2015 positions, in keeping with Testa’s wishes, is based on a:

选项:

A.

direct hedge on each currency separately

B.

cross-hedge of the two currencies in the portfolio

C.

minimum-variance hedge of the two currencies in the portfolio

解释:

Correct Answer: A

A direct hedge on each currency is the most appropriate strategy for the long positions in the Australian and New Zealand dollar. The high correlation between the currencies does not help here because the investor will be using forward contracts to sell both of these currencies. The high correlation between the currencies could have been exploited with a cross-hedge or a minimum-variance hedge if one of the foreign assets was held long and the other short.

minimum-variance hedge的一个前提就是Currency之间的Correlation不能太高吗?

1 个答案

李坏_品职助教 · 2025年02月25日

嗨,从没放弃的小努力你好:


这道题关键在于“Testa indicated that he wished to minimize any foreign exchange exposure.” Testa是希望让外汇敞口最低。


敞口最低的方法是分别对澳元和纽币(新西兰元)进行对冲,从外汇金额的敞口来看,可以把敞口降到接近0.


minimum-variance hedge一般用于降低多币种的总体风险,而非外汇敞口,不符合本题的目标。



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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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