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西红柿面 · 2025年06月03日

Mark-to-market Value

NO.PZ2022123002000001

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.


Using Exhibit 1, if the Spanish shares had been sold after three months, the cash outflow (in US dollars) required to close out the forward contract would have been closest to:

选项:

A.

489,182

B.

489,850

C.

491,400

解释:

The initial foreign asset position was EUR18 million: 200,000 shares × EUR90/share. The six-month forward contract would have been sold using the bid of the base currency (euro) at an all-in forward rate of 1.3935 – 19/10,000 = 1.3916 USD/EUR.

If the position had been closed in three months, a three-month forward contract would have to be purchased at the oer of the base currency at an all-in forward rate of 1.4210 – 21/10,000 = 1.4189 USD/EUR.

The cash outflow at settlement would have been EUR18 million×(1.41891.3916)USD/EUR = USD491,400. This amount needs to be discounted by three months at the US dollar Libor rate: 491,400/(1 + 0.01266 × 90/360) = USD489,850.

the cash outflow (in US dollars) required to close out the forward contract为什么就是对应的3月的Mark-to-market Value?

1 个答案

李坏_品职助教 · 2025年06月03日

嗨,爱思考的PZer你好:


the cash outflow (in US dollars) required to close out the forward contract意思是,为了平仓了结这个远期合约,需要支付多少钱?


原则上forward合约是不能提前平仓的,futures才可以随意的提前平仓。但是现在要求我们必须提前平仓,那只能签订一个和原来的forward合约方向相反的新合约,这样来把之前那个合约对冲掉(也就是提前结算掉)。也就是我们需要以1.4189 USD/EUR的汇率买入EUR。


由于之前开仓的价格是1.3916, 开仓的方向是卖出EUR,那么我们实际上是高价买入EUR并且低价卖出EUR,这样一来就是现金流出了,流出金额是EUR18 million×(1.4189–1.3916)。 但是forward的结算时刻是在期末,我们是需要提前结算,所以还要折现3个月。

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