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考拉 · 2024年01月25日

为什么不涉及基差风险basis risk ?

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NO.PZ201601050100000403

问题如下:

3. Given the recent movement in the forward premium for the SEK/EUR rate, Björk can expect that the hedge will experience higher:

选项:

A.

basis risk.

B.

roll yield.

C.

premia income.

解释:

B is correct.

To hedge the EUR-denominated assets Björk will be selling forward contracts on the SEK/EUR cross rate. A higher forward premium will result in higher roll return as Björk is selling the EUR forward at a higher all-in forward rate, and closing out the contract at a lower rate (all else equal), given that the forward curve is in contango.

A is incorrect because Björk is hedging EUR-denominated assets with a EUR-denominated forward contract. While it is true that the gap between spot and forward rates will be higher the higher the interest rate differential between countries, this gap (basis) converges to zero near maturity date, when the forward contracts would be rolled.

C is incorrect because forward contracts do not generate premia income; writing options does.

中文解析:

这道题目从roll yield的公式来判断。

首先明确一下持有的是外币EUR的资产,因此是short forward on SEK/EUR。此时roll yield的计算式子是F-S/S。

而forward premium指的是F>S,所以根据roll yield的公式可知,roll yield为正,即有更高的roll yield的。

C选项指的是期权费,本题不涉及,A选项的基差风险本题也不涉及。

根据原版书basis risk是The risk resulting from using a hedging instrument that is imperfectly matched to the investment being hedged; in general, the risk that the basis wil change in an unpredicated way. 这题是用forward contract 来hedge currency risk .当汇率发生波动,为什么会不涉及更高的basis risk ?

1 个答案

pzqa31 · 2024年01月26日

嗨,爱思考的PZer你好:


basis risk说的是基差风险,即对冲工具的涨跌不能百分之百匹配敞口头寸涨跌的风险,

举个例子说就是用1份forward去对冲1份资产,理想状态下forward价格涨跌和资产价格涨跌完全一致,可以完美对冲,但现实中两者价格变化会有微小差别,不能做到完美对冲,basis risk说的是这个风险。


咱们做题要具体问题具体分析,看题目给的条件来判断,这道题给的条件里并没涉及basis risk.

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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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