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Jochebed · 2024年07月28日

这题用的是哪一个公式?为什么用到Spot rates?

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: (2019 mock PM)

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.

这题用的是哪一个公式?为什么用到Spot rates?

强化讲义上算mark-to-market是直接用FPt和FP的,这里的交易具体是怎么做的,为什么需要用到spot rates

1 个答案
已采纳答案

pzqa27 · 2024年07月29日

嗨,从没放弃的小努力你好:


这里题说在3个月的时候卖掉西班牙的股票,那么整个过程是这样的:

  1. 在0时候签订一份short EUR的合约,持续期是6个月。执行价是1.3935 – 19/10,000 = 1.3916 USD/EUR.
  2. 在3个月的时候,我们需要关闭掉0时刻签订的合约,所以我们需要long 一份3个月到期的合约,执行价是1.4210 – 21/10,000 = 1.4189 USD/EUR.

然后我们可以计算现金流了,在6个月的时候,我们按 1.4189 USD/EUR.的价格买入欧元,然后再以1.3916 USD/EUR的价格卖出,总的本金18m,所以在6个月的时候总收入是18 million×(1.4189–1.3916)USD/EUR = USD491,400,将这个数字折现到3个月的时候就是491,400/(1 + 0.01266 × 90/360) = USD489,850.

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NO.PZ2022123002000001 问题如下 Testa acquirea Spanishpackaging company. The Spanish investment involveTesta acquiring 200,000shares of a packaging company EUR90 per share. He cito fully hee theposition with a six month USEUR forwarcontract. tails of the euro heeinitiation anthree months later are proviin Exhibit 1.Using Exhibit 1,if the Spanish shares hbeen solafter three months, the cash outflow (in USllars) requireto close out the forwarcontrawoulhave been closest to:(2019 moPM) A.489,182 B.489,850 C.491,400 The initialforeign asset position wEUR18 million: 200,000 shares × EUR90/share. Thesix-month forwarcontrawoulhave been solusing the biof the base currency(euro) all-in forwarrate of 1.3935 – 19/10,000 = 1.3916 USEUR.If the positionhbeen closein three months, a three-month forwarcontrawoulhave topurchasethe offer of the basecurrenall-in forwarrate of 1.4210 – 21/10,000 = 1.4189 USEUR.The cash outflowsettlement woulhave been EUR18 million×(1.4189–1.3916)USEUR= US91,400. This amount nee to scountethree months the US llarLibor rate: 491,400/(1 + 0.01266 × 90/360) = US89,850. 为什么不是损失呢?

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