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甜宝 · 2023年11月07日

为什么是GBP

* 问题详情,请 查看题干

NO.PZ202106160100000104

问题如下:

Based on Exhibits 1, 2, and 3, the mark-to-market gain for Goldsworthy’s forward position is closest to:

选项:

A.

GBP 19,971.

B.

GBP 20,500.

C.

GBP 21,968.

解释:

A is correct.

Marking her nine-month contract to market six months later requires buying GBP/EUR three months forward. The GBP/EUR spot rate is 0.9467/0.9471, and the three-month forward points are 14.0/15.0. The three-month forward rate to use is 0.9471+ (15/10000) = 0.9486. Goldsworthy sold EUR 5,000,000 at 0.9526 and bought at 0.9486. The net cash flow at the settlement date will equal EUR 5,000,000 × (0.9526 – 0.9486) GBP/EUR = GBP 20,000. This cash flow will occur in three months, so we discount at the three-month GBP Libor rate of 58 bps:

GBP20,0001+0.0058[90/360]=GBP19,971.04\frac{GBP20,000}{1+0.0058\lbrack90/360\rbrack}=GBP19,971.04

考点:Mark –to-Market Value

解析:计算Market-to-Market Value的方法就是在当前时刻签订一笔反向对冲合约。

投资者在6个月前先签订了一份长达9个月的合约, 这份合约准许投资人以GBP/EUR=0.9526的价格卖出EUR.
现在过去6个月的时间,该份合约还剩3个月到期,那么我们在当前时候就要签订一份时长为3个月的买EUR的合约。

注意到表二中提供了3个月的汇率远升水情况。据此,我们可以求得未来三个月的远期汇率,由于反向对冲合约是在未来3个月买入EUR,所以要求DEALER的卖价,即:

ASK:0.9471 + (15/10000) = 0.9486

投资者以0.9486的价格买入EUR,并且以0.9526的价格卖出EUR,并且本金是5,000,000EUR,所以合约为投资者带来的收益是5,000,000 × (0.9526 – 0.9486) GBP/EUR = GBP 20,000. 但是注意到这里的收益是发生在合约到期时的收益,而 Mark – to-Market Value要求的是当前时刻的收益,所以我们还要对GBP 20,000进行折现,折现的期限就是3个月。在本题中,收益是以GBP形式表现的,所以折现利率应该选用GBP的3个月的利率水平。于是得到:

GBP20,0001+0.0058[90/360]=GBP19,971.04\frac{GBP20,000}{1+0.0058\lbrack90/360\rbrack}=GBP19,971.04

投资者以0.9486的价格买入EUR,并且以0.9526的价格卖出EUR,并且本金是5,000,000EUR,所以合约为投资者带来的收益是5,000,000 × (0.9526 – 0.9486) GBP/EUR = GBP 20,000.



老师,这里2000的单位怎么判定是EUR还是GBP,可以帮我捋一下逻辑吗?

1 个答案

笛子_品职助教 · 2023年11月07日

嗨,从没放弃的小努力你好:


老师,这里2000的单位怎么判定是EUR还是GBP,可以帮我捋一下逻辑吗?


Hello,亲爱的同学~

同学首先需要了解一个知识点:基础货币(base currency)和计价货币(price currency)

基础货币,是指/后的货币,计价货币是指/前的货币。

例如A/B这种汇率表达式,B就是base currency,A就是price currency

同学可以把base currency理解为物品。

例如,2元人民币/苹果。表示1个苹果值2元钱,/后的苹果就是base currency,/前的2元人民币就是price currency。


汇率的数字,表示基础货币的升跌。

汇率数字增加,基础货币升值。


结合本题,同学看本题选项。


gain是用GBP表示的,因此GBP是计价货币。

对于GBP/EUR汇率表达式,EUR是基础货币,GBP是计价货币。因此计价单位是GBP。


本题知识点对应的是基础讲义28页的例题,同学可以先听一听对应视频哦。


如果听完视频后还有问题,也欢迎随时提问,祝学习顺利~


----------------------------------------------
加油吧,让我们一起遇见更好的自己!

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NO.PZ202106160100000104 问题如下 Baseon Exhibits 1, 2, an3, the mark-to-market gain for Golworthy’s forwarposition is closest to: A.G19,971. B.G20,500. C.G21,968. A is correct.Marking her nine-month contrato market six months later requires buying GBP/EUR three months forwar The GBP/EUR spot rate is 0.9467/0.9471, anthe three-month forwarpoints are 14.0/15.0. The three-month forwarrate to use is 0.9471+ (15/10000) = 0.9486. Golworthy solEUR 5,000,000 0.9526 anbought 0.9486. The net cash flow the settlement te will equEUR 5,000,000 × (0.9526 – 0.9486) GBP/EUR = G20,000. This cash flow will occur in three months, so we scount the three-month GLibor rate of 58 bps:GBP20,0001+0.0058[90/360]=GBP19,971.04\frac{GBP20,000}{1+0.0058\lbrack90/360\rbrack}=GBP19,971.041+0.0058[90/360]GBP20,000​=GBP19,971.04考点Mark –to-Market Value解析计算Market-to-Market Value的方法就是在当前时刻签订一笔反向对冲合约。投资者在6个月前先签订了一份长达9个月的合约, 这份合约准许投资人以GBP/EUR=0.9526的价格卖出EUR.现在过去6个月的时间,该份合约还剩3个月到期,那么我们在当前时候就要签订一份时长为3个月的买EUR的合约。注意到表二中提供了3个月的汇率远升水情况。据此,我们可以求得未来三个月的远期汇率,由于反向对冲合约是在未来3个月买入EUR,所以要求ALER的卖价,即ASK:0.9471 + (15/10000) = 0.9486投资者以0.9486的价格买入EUR,并且以0.9526的价格卖出EUR,并且本金是5,000,000EUR,所以合约为投资者带来的收益是5,000,000 × (0.9526 – 0.9486) GBP/EUR = G20,000. 但是注意到这里的收益是发生在合约到期时的收益,而 Mark – to-Market Value要求的是当前时刻的收益,所以我们还要对G20,000进行折现,折现的期限就是3个月。在本题中,收益是以GBP形式表现的,所以折现利率应该选用GBP的3个月的利率水平。于是得到GBP20,0001+0.0058[90/360]=GBP19,971.04\frac{GBP20,000}{1+0.0058\lbrack90/360\rbrack}=GBP19,971.041+0.0058[90/360]GBP20,000​=GBP19,971.04 按照公式,不是 汇率的买卖,不是乘小除大么?

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2024-05-01 15:06 1 · 回答

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