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alexanderwang · 2024年09月23日

spot rate转化时得不出答案的数

NO.PZ2023041102000006

问题如下:

Anna Goldsworthy is the chief financial officer of a manufacturing firm headquartered in the United Kingdom. Goldsworthy gathers the exchange rates from Dealer A in Exhibit 1.

In three months, the firm will receive EUR 5,000,000 (euros) from another customer. Six months ago, the firm sold EUR 5,000,000 against the GBP using a nine-month forward contract at an all-in price of GBP/EUR 0.7400. To mark the position to market, Underwood collects the GBP/EUR forward rates in Exhibit 2.

Based on Exhibits 1, 2, the mark-to-market gain for Goldsworthy’s forward position is closest to:

选项:

A.GBP 20,470.

B.GBP 20,500.

C.GBP 21,968.

解释:

Marking her nine-month contract to market six months later requires buying GBP/EUR three months forward. The GBP/EUR spot rate is 0.7342/0.7344, and the three-month forward points are 14.0/15.0. The three-month forward rate to use is 0.7344 + (15/10000) = 0.7359. Goldsworthy sold EUR 5,000,000 at 0.7400 and bought at 0.7359. The net cash flow at the settlement date will equal EUR 5,000,000 × (0.7400 – 0.7359) GBP/EUR = GBP 20,500. This cash flow will occur in three months, so we discount at the three-month GBP Libor rate of 58 bps:

6个月后将她的9个月合约与市场挂钩,需要买入英镑/欧元3个月的元气合约。英镑兑欧元即期汇率为0.7342/0.7344,三个月远期汇率的点数为14.0/15.0。三个月远期汇率为0.7344 +(15/10000)= 0.7359。Goldsworthy在0.7400卖出500万欧元,在0.7359买入。结算日的净现金流量将等于500万欧元×(0.7400 - 0.7359)英镑/欧元= 20,500英镑。这笔现金流将在三个月后发生,因此我们以三个月期英镑伦敦银行同业拆借利率58个基点进行贴现得到:


老师好,表格中:

USD/EUR=1.1572~1.1576

USD/GBD=1.5762~1.5766

GBD/EUR就等于两者相除,根据规则,相除除对角,也就是

GBD/EUR=1.1572/1.5766~1.1576/1.5762=0.733985~0.734425,即使四舍五入,也是0.7340~0.7344

这和答案中的GBP/EUR=0.7342~0.7344对不上

请问答案这个数是怎么得来的,是只算了2位小数吗,谢谢!

alexanderwang · 2024年09月23日

老师,同样的问题也出现在了这里:500*(0.7400-0.7359)=20500,我计算出来的准确数位0.735925,得出来的答案是20375,相差很大,和结果也相差很远,很容易选错,请问对此老师有什么建议吗,谢谢。

1 个答案
已采纳答案

笛子_品职助教 · 2024年09月23日

嗨,努力学习的PZer你好:


GBD/EUR就等于两者相除,根据规则,相除除对角,也就是

GBD/EUR=1.1572/1.5766~1.1576/1.5762=0.733985~0.734425,即使四舍五入,也是0.7340~0.7344

这和答案中的GBP/EUR=0.7342~0.7344对不上

请问答案这个数是怎么得来的,是只算了2位小数吗,谢谢!

Hello,亲爱的同学~

GBP/EUR=0.7342~0.7344,这不是答案里计算的,这本就是题目里的已知条件。



既然是已知条件,我们就直接拿来使用就可以了,并不需要去判断这个已知条件给得是否合理。


另外拓展一下,USD/EUR和USD/GBP这是dealerA的报价,GBP/EUR这也是DealerA的报价。

如果GBP /EUR的报价,与USD/EUR和USD/GBP的交叉汇率计算结果不等,这是允许的,说明这里面存在套利的空间。


老师,同样的问题也出现在了这里:500*(0.7400-0.7359)=20500,我计算出来的准确数位0.735925,得出来的答案是20375,相差很大,和结果也相差很远,很容易选错,请问对此老师有什么建议吗,谢谢。

这是关于小数点精度的问题。

外汇里的小数点精度是有明确的规则的:题目里的外汇标价是几位小数,我们计算结果就是几位小数。

结合本题,题目里的外汇标价是四位小数,所以我们计算也保留四位小数。因此用0.7395。



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