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lehrwang · 2025年07月03日

roll yield 计算方式不知道对不对

NO.PZ2022123002000019

问题如下:

Testa acquired a Spanish packaging company. The Spanish investment involved Testa acquiring 200,000 shares of a packaging company at EUR90 per share. He decided to fully hedge the position with a six month USD/EUR forward contract. Details of the euro hedge at initiation and three months later are provided in Exhibit 1. Three months after the purchase, the shares had increased to EUR100 each, but Testa, believing that a still higher price was likely, maintained the position. He also indicated that he did not anticipate having to roll the hedge forward at its maturity.

Exhibit 1 2009 Spot and Forward USD/EUR Quotes (Bid-Offer) and Annualized Libor Rates

If the 2009 forward hedge had been rolled forward at its maturity, using Exhibit 1, the roll yield would most likely have been:

选项:

A.

negative, but the currency change made it less negative

B.

positive, but the currency change reduced some of this effect

C.

negative, and the currency change made it even more negative

解释:

Correct Answer: C

In implementing the hedge, euros (the base currency) must be sold against the US dollar. The base currency is selling at a discount and thus would “roll up the curve” as the contract approaches maturity. Settlement of the forward contract would entail buying euros at a higher price—that is, selling low and buying high—resulting in a negative roll yield. Since the euro has appreciated by the time the hedge needs to be extended, this tends to further increase the cost of euros to settle the original contract and makes the roll yield even more negative—that is, sell low, buy even higher.

0时点short 6个月的forward 1.3916

3时点long 现货 1.4210

所以roll yield =1.3916-1.4210/1.4210

这样理解对吗?

1 个答案

李坏_品职助教 · 2025年07月03日

嗨,爱思考的PZer你好:


不是的,0时刻计算roll yield 用的都是0时刻的条件,而3时点的那个1.4210 是在3时点再去计算roll yield才能用的。


roll yield与实际的反向平仓收益还是不一样的,它只是代表当前时刻理论上的收益。

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