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游得过 · 2023年02月07日

不好意思,没看懂答案,能否画图并且解释一下

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NO.PZ202208160100000201

问题如下:

Based on the data in Exhibit 1, if a dealer quoted a bid–offer rate of CHF1.0741/EUR1.0746, then a profitable triangular arbitrage would most likely involve buying EUR1 from the dealer and then selling it in the interbank market for a profit of:

选项:

A.CHF0.0005. B.CHF0.0008. C.CHF0.0007.

解释:

Solution

A is correct. Calculate the CHF/EUR bid–offer cross rate implied by the interbank market using the equation CHF/EUR = (USD/CHF)–1 × USD/EUR = CHF/USD × USD/EUR. The equation shows that we have to invert the USD/CHF bid–offer quotes to get the CHF/USD bid–offer quotes.

First, given the USD/CHF quotes of 1.0453/1.0456, take the inverse of each and interchange the bid and offer, such that the CHF/USD quotes are (1/1.0456)/(11.0453) = 0.95639/0.95666 = 0.9564/0.9567.

Then multiply the CHF/USD and USD/EUR bid–offer quotes:

Bid: 0.9564 × 1.1241 = 1.07509 = 1.0751

Offer: 0.9567 × 1.1243 = 1.07562 = 1.0756

Thus, the CHF/EUR cross-rate implied by the interbank market is 1.0751/1.0756.

The dealer is posting an offer rate to sell the EUR at a rate below the interbank bid rate. Thus, triangular arbitrage would involve buying EUR from the dealer at 1.0746 (offer) and selling it in the interbank market at 1.0751 (bid) for a profit of CHF0.0005 (1.0751 – 1.0746) per EUR.


B is incorrect. It erroneously inverts the USD/CHF quotes but does not interchange the bid and offer and thus incorrectly calculates the interbank market cross rate.

Bid: 0.9567 × 1.1241 = 1.07543 = 1.0754

Offer: 0.9564 × 1.1243 = 1.07528 = 1.0753

Thus, the CHF/EUR cross-rate implied by the interbank market is 1.0754/1.0753. (Note that the bid is higher than the offer.)

Triangular arbitrage would involve buying EUR from the dealer at 1.0746 (offer) and selling it in the interbank market at 1.0754 (bid) for a profit of CHF0.0008 (1.0754 – 1.0746) per EUR.

C is incorrect. It erroneously inverts the USD/CHF quotes but incorrectly calculates the interbank market cross-rate by mixing up the cross bids and offers.

Bid: 0.9564 × 1.1243 = 1.07528 = 1.0753

Offer: 0.9567 × 1.1241 = 1.07543 = 1.0754

Thus, the CHF/EUR cross-rate implied by the interbank market is 1.0753/1.0754.

Triangular arbitrage would involve buying EUR from the dealer at 1.0746 (offer) and selling it in the interbank market at 1.0753 (bid) for a profit of CHF0.0007 (1.0753 – 1.0746) per EUR.

不好意思,没看懂答案,能否画图并且解释一下

2 个答案
已采纳答案

笛子_品职助教 · 2023年02月09日

嗨,爱思考的PZer你好:


比较三角套汇和dealer报价,就可以得出套利收益。 我想问的是后面比较的路径,前面几步我会,关键是后面

Hello,亲爱的同学!比较两个汇率的套利利润。过程如下:


我们得出2个汇率:

一是CHF/EUR = 1.0751-1.0756

二是CHF/EUR = 1.0741/1.0746


我们在dealer处买入,买入价为ask价1.0746。然后我们在interbank处卖出,卖出价是bid价1.0751。

利润是1.0751-1.0746=0.0005


如下表所示:




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笛子_品职助教 · 2023年02月08日

嗨,爱思考的PZer你好:


不好意思,没看懂答案,能否画图并且解释一下

Hello,亲爱的同学!

这是一道很典型的三角套汇的题目。

三角套汇就是有2个汇率。

一个是dealer直接报出了一个汇率。

一个是我们需要通过两个汇率进行换算得出的汇率。


然后我们比较dealer直接报出的汇率,和我们换算得出的汇率,有没有套利空间。

在这道题里,dealer直接报出的汇率是: CHF1.0741/EUR1.0746,写成CHF/EUR = 1.0741-1.0746


需要换算的汇率是:


我们在使用老师上课的口诀,相乘同边,相除对角。

这类是相除。

CHF/EUR = (USD / EUR) / (USD /CHF) = 1.1241/1.0453 - 1.1243/1.0453 = 1.0751-1.0756.


同学注意:这里不用画图,在考试的时候画图会非常费时间。我们直接使用老师给出的结论来做这类三角套汇题。

1、得出最终汇率是乘法还是除法,如果是除法,哪个除哪个。比如这题:CHF/EUR = (USD / EUR) / (USD /CHF),就是代数运算。

2、相乘同边,相除对角。我们这边是除法,用对角相除。所以是bid是1.1241/1.0453,ask是1.1243/1.0453。


然后我们比较三角套汇和dealer报价,就可以得出套利收益。


同学有时间的话不妨可以看一看基础讲义视频中三角套汇的例题。这类题目都是完全一样的思路和解法。








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NO.PZ202208160100000201问题如下Baseon the ta in Exhibit 1, if a aler quotea bioffer rate of CHF1.0741/EUR1.0746, then a profitable triangularbitrage woulmost likely involve buying EUR1 from the aler anthen selling it in the interbank market for a profit of:A.CHF0.0005.B.CHF0.0008.C.CHF0.0007. SolutionA is correct. Calculate the CHF/EUR bioffer cross rate impliethe interbank market using the equation CHF/EUR = (USCHF)–1 × USEUR = CHF/US× USEUR. The equation shows thwe have to invert the USCHF bioffer quotes to get the CHF/USbioffer quotes.First, given the USCHF quotes of 1.0453/1.0456, take the inverse of eaaninterchange the bianoffer, suththe CHF/USquotes are (1/1.0456)/(11.0453) = 0.95639/0.95666 = 0.9564/0.9567. Then multiply the CHF/USanUSEUR bioffer quotes:Bi 0.9564 × 1.1241 = 1.07509 = 1.0751Offer: 0.9567 × 1.1243 = 1.07562 = 1.0756Thus, the CHF/EUR cross-rate impliethe interbank market is 1.0751/1.0756.The aler is posting offer rate to sell the EUR a rate below the interbank birate. Thus, triangularbitrage woulinvolve buying EUR from the aler 1.0746 (offer) anselling it in the interbank market 1.0751 (bi for a profit of CHF0.0005 (1.0751 – 1.0746) per EUR.B is incorrect. It erroneously inverts the USCHF quotes but es not interchange the bianoffer anthus incorrectly calculates the interbank market cross rate.Bi 0.9567 × 1.1241 = 1.07543 = 1.0754Offer: 0.9564 × 1.1243 = 1.07528 = 1.0753Thus, the CHF/EUR cross-rate impliethe interbank market is 1.0754/1.0753. (Note ththe biis higher ththe offer.)Triangularbitrage woulinvolve buying EUR from the aler 1.0746 (offer) anselling it in the interbank market 1.0754 (bi for a profit of CHF0.0008 (1.0754 – 1.0746) per EUR.C is incorrect. It erroneously inverts the USCHF quotes but incorrectly calculates the interbank market cross-rate mixing up the cross bi anoffers.Bi 0.9564 × 1.1243 = 1.07528 = 1.0753Offer: 0.9567 × 1.1241 = 1.07543 = 1.0754Thus, the CHF/EUR cross-rate impliethe interbank market is 1.0753/1.0754.Triangularbitrage woulinvolve buying EUR from the aler 1.0746 (offer) anselling it in the interbank market 1.0753 (bi for a profit of CHF0.0007 (1.0753 – 1.0746) per EUR. 中文解析A是正确的。使用公式CHF/EUR = (USCHF) -1 × USEUR = CHF/US× USEUR计算银行间市场隐含的CHF/EUR买卖交叉利率。公式表明,我们必须反转美元/瑞士法郎的买卖报价才能得到瑞士法郎/美元的买卖报价。首先,假设美元/瑞郎的报价为1.0453/1.0456,取两者的逆并交换买入价和卖出价,这样瑞郎/美元的报价为(1/1.0456)/(11.0453)= 0.95639/0.95666 = 0.9564/0.9567。然后乘以瑞士法郎/美元和美元/欧元的买卖报价:竞价:0.9564 × 1.1241 = 1.07509 = 1.0751卖出价:0.9567 × 1.1243 = 1.07562 = 1.0756因此,银行间市场隐含的瑞郎/欧元交叉利率为1.0751/1.0756。交易商以低于银行间买入价的价格卖出欧元。因此,三角套利将涉及以1.0746(卖出价)向交易商买入欧元,并以1.0751(买入价)在银行间市场卖出欧元,每欧元获利0.0005瑞郎(1.0751 - 1.0746)。B不正确。它错误地反转了美元/瑞士法郎的报价,但没有交换买入价和卖出价,因此错误地计算了银行间市场交叉利率。竞价:0.9567 × 1.1241 = 1.07543 = 1.0754卖出价:0.9564 × 1.1243 = 1.07528 = 1.0753因此,银行间市场隐含的瑞郎/欧元交叉利率为1.0754/1.0753。(请注意,出价高于出价。)三角套利包括以1.0746(卖出价)向交易商买入欧元,并以1.0754(买入价)在银行间市场卖出,每欧元获利0.0008瑞郎(1.0754 - 1.0746)。C是不正确的。它错误地颠倒了美元/瑞士法郎的报价,但由于混淆了交叉买入价和卖出价而错误地计算了银行间市场的交叉利率。竞价:0.9564 × 1.1243 = 1.07528 = 1.0753卖出价:0.9567 × 1.1241 = 1.07543 = 1.0754因此,银行间市场隐含的瑞郎/欧元交叉利率为1.0753/1.0754。三角套利包括以1.0746(卖出价)向交易商买入欧元,并以1.0753(买入价)在银行间市场卖出,每欧元获利0.0007瑞郎(1.0753 - 1.0746)。 老师请看看我这么做有什么问题aler 报价CHF/EUR 1.0741-1.0746银行间报价USEUR 1.1241-1.1243 USCHF 1.0453-1.0456推导出银行间CHF/EUR 1.0751-1.0756,所以从aler处买欧元如果现在有1元CHF,可以在aler处买1/1.0746EUR,现在手上有了欧元,可以在银行间市场卖欧元买美元,于是就是1/1.0746*1.1241,然后再在银行间市场卖美元买CHF,就是1/1.0746*1.1241/1.0456=1.000443,减1后最接近a

2024-06-23 05:16 1 · 回答

NO.PZ202208160100000201 问题如下 Baseon the ta in Exhibit 1, if a aler quotea bioffer rate of CHF1.0741/EUR1.0746, then a profitable triangularbitrage woulmost likely involve buying EUR1 from the aler anthen selling it in the interbank market for a profit of: A.CHF0.0005. B.CHF0.0008. C.CHF0.0007. SolutionA is correct. Calculate the CHF/EUR bioffer cross rate impliethe interbank market using the equation CHF/EUR = (USCHF)–1 × USEUR = CHF/US× USEUR. The equation shows thwe have to invert the USCHF bioffer quotes to get the CHF/USbioffer quotes.First, given the USCHF quotes of 1.0453/1.0456, take the inverse of eaaninterchange the bianoffer, suththe CHF/USquotes are (1/1.0456)/(11.0453) = 0.95639/0.95666 = 0.9564/0.9567. Then multiply the CHF/USanUSEUR bioffer quotes:Bi 0.9564 × 1.1241 = 1.07509 = 1.0751Offer: 0.9567 × 1.1243 = 1.07562 = 1.0756Thus, the CHF/EUR cross-rate impliethe interbank market is 1.0751/1.0756.The aler is posting offer rate to sell the EUR a rate below the interbank birate. Thus, triangularbitrage woulinvolve buying EUR from the aler 1.0746 (offer) anselling it in the interbank market 1.0751 (bi for a profit of CHF0.0005 (1.0751 – 1.0746) per EUR.B is incorrect. It erroneously inverts the USCHF quotes but es not interchange the bianoffer anthus incorrectly calculates the interbank market cross rate.Bi 0.9567 × 1.1241 = 1.07543 = 1.0754Offer: 0.9564 × 1.1243 = 1.07528 = 1.0753Thus, the CHF/EUR cross-rate impliethe interbank market is 1.0754/1.0753. (Note ththe biis higher ththe offer.)Triangularbitrage woulinvolve buying EUR from the aler 1.0746 (offer) anselling it in the interbank market 1.0754 (bi for a profit of CHF0.0008 (1.0754 – 1.0746) per EUR.C is incorrect. It erroneously inverts the USCHF quotes but incorrectly calculates the interbank market cross-rate mixing up the cross bi anoffers.Bi 0.9564 × 1.1243 = 1.07528 = 1.0753Offer: 0.9567 × 1.1241 = 1.07543 = 1.0754Thus, the CHF/EUR cross-rate impliethe interbank market is 1.0753/1.0754.Triangularbitrage woulinvolve buying EUR from the aler 1.0746 (offer) anselling it in the interbank market 1.0753 (bi for a profit of CHF0.0007 (1.0753 – 1.0746) per EUR. 三角套汇是不是只能先买interbank的便宜货币?这道题,interbank的CHF便宜,所以就先从interbank买CHF,再到aler卖CHF.为什么却是先去aler买他的便宜货币?

2023-01-01 23:12 1 · 回答