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moon · 2022年03月03日

问题

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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。

老师,

short forward on SEK/EUR。此时roll yield的计算式子是F-S/S。

那long foward公式是反过来的?为什么是这样

1 个答案

Hertz_品职助教 · 2022年03月04日

嗨,爱思考的PZer你好:


同学你好

Roll yield 的计算分short forward头寸和long forward头寸。

Long forward头寸,roll yield=S-F/S(不过这种情况极少出现在题目中);

Short forward头寸:roll yield=F-S/S。

Short forward头寸来说:

Roll yield因为是签合约可以给我们带来的好处,因此可以这样来理解,期初时S0,期末是F(远期合约约定的而价格),根据最简单的计算return的公式是:期末-期初/期初可知,short forward下roll yield的公式就是F-S/S。

那么我们知道forward合约他是零和博弈的额,一方赚的就等于另一方亏的,所以对于long forward头寸来说,就是在short forward前面加负号,于是就得到了long forward头寸下roll yield的计算式子为S-F/S

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