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toffee · 2023年05月21日

这个题有点奇怪?

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NO.PZ202208100100000403

问题如下:

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.489,182.00 B.489,850.00 C.491,400.00

解释:

B is correct.

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 offer 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 × (1.4189 – 1.3916) 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.

A is incorrect. The euro Libor rate is used to discount the settlement cash flow: 491,400/(1 + 0.01814 × 90/360) = USD489,182.

中文解析:

初始的外币资产头寸是18million的欧元(0.2million股*90欧元/股)。

因此一开始需要short forward on 欧元,期限是6个月,对应的远期汇率是1.3935 – 19/10,000 = 1.3916 USD/EUR。(此合约在到期的时候是卖欧元,收到美元)

那现在3个月的时候股票被卖掉了,所以原来的6个月期限的合约用不到了,需要平仓平掉。签反向对冲合约:long forward on欧元,期限是3个月,对应的远期汇率是1.4210 – 21/10,000 = 1.4189 USD/EUR。(此合约到期的时候是买欧元,支付美元)

那么在到期的时候(也就是再过3个月后),对应的cash outflow就是EUR18 million×(1.41891.3916)USD/EUR = USD491,400。

但现在是站在3时刻,因此需要在到期时候的金额USD491,400向前折现3个月,即:491,400/(1 + 0.01266 × 90/360) = USD489,850。

C is incorrect. It uses the settlement cash flow, ignoring any discounting: USD491,400.Solution

课后题有涉及到计算现金流的也没要求折现啊? 而且 即使是折现,那描述的应该是mark to market 计算value啊 ?

1 个答案

pzqa31 · 2023年05月22日

嗨,从没放弃的小努力你好:


一开始的时候我们为了hedge是签了6个月的远期,现在过了三个月了这个远期合约还有三个月到期。 我们现在要做的是把剩下的三个月平仓平掉,所以签3个月的远期。这里注意我们在现在签合约,是在合约到期的时候进行交割,所以是再过三个月后才计算结果,因此需要折现到现在,即折现三个月。


并不是只有算Mark to market才会要求折现,这道题是要算实际结算的金额,肯定是要折现计算准确金额,具体还是要看题目要求。

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努力的时光都是限量版,加油!

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