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兔小兔 · 2022年01月17日

老师 看下这题 我算三角套汇的profit in usd总是算不对

* 问题详情,请 查看题干

NO.PZ201512020800000102

问题如下:

2. Based on Exhibit 2, the most appropriate recommendation regarding the triangular arbitrage trade is to:

选项:

A.

decline the trade, no arbitrage profits are possible.

B.

execute the trade, buy BRL in the interbank market and sell it to the dealer.

C.

execute the trade, buy BRL from the dealer and sell it in the interbank market.

解释:

B is correct.

The dealer is posting an offer rate to buy BRL at a price that is too high. This overpricing is determined by calculating the interbank implied cross rate for the CHF/BRL using the intuitive equation-based approach:

CHF/BRL=CHF/USD×(BRL/USD)1CHF/BRL=CHF/USD\times{(BRL/USD)}^{-1}, or

CHF/BRL=CHF/USD×(USD/BRL)CHF/BRL=CHF/USD\times{(USD/BRL)}

Inverting the BRL/USD given quotes in Exhibit 2 determines the USD/BRL bid/offer rates of 0.56205/0.56211 (The bid of 0.56205 is the inverse of the BRL/USD offer, calculated as 1/1.7792; the offer of 0.56211 is the inverse of the BRL/USD bid, calculated as 1/1.7790). Multiplying the CHF/USD and USD/BRL bid/offer rates then leads to the interbank implied CHF/BRL cross rate of:

Bid: 0.9099 × 0.56205 = 0.5114

Offer: 0.9101 × 0.56211 = 0.5116

Since the dealer is willing to buy BRL at 0.5161 but BRL can be purchased from the interbank market at 0.5116, so there is an arbitrage opportunity to buy BRL in the interbank market and sell them to the dealer for a profit of 0.0045CHF (0.5161 – 0.5116) per BRL transacted.

考点:三角套汇的经典考法,考的是其中的第一步和第二步.

解析 : 第一步先判断有没有套利机会 , 也就是比较dealer 和 interbank相同币种的报价 。 这道题我们对比的是CHF以及BRL这两种货币的报价。

通过表二,运用交叉汇率,

CHF/BRL=CHF/USD×(BRL/USD)1CHF/BRL=CHF/USD\times{(BRL/USD)}^{-1}, 或者 CHF/BRL=CHF/USD×(USD/BRL)CHF/BRL=CHF/USD\times{(USD/BRL)},我们可以求得interbank市场上的买价和卖价,它们分别是:

Bid: 0.9099 × 0.56205 = 0.5114

Offer: 0.9101 × 0.56211 = 0.5116

观察到,dealer的报价是 0.5161/0.5163 高于interbank的报价,那么投资者就可以以 0.5116CHF/BRL的价格买入BRL,再以0.5161CHF/BRL的价格卖出BRL,从而实现0.0045CHF (0.5161 – 0.5116) 的套利利润。

这套题目能不能走一遍三角套汇的路径 按何老师上课的路径求profit



2 个答案

笛子_品职助教 · 2022年01月18日

嗨,爱思考的PZer你好:


是的,有一点混淆forward的Mark to market。交叉汇率,这里就直接交叉相除就好。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

笛子_品职助教 · 2022年01月18日

嗨,努力学习的PZer你好:


完整的走一遍交叉汇率的profit,所有交叉汇率计算profit的题目都是以下固定的套路。


计算交叉汇率分为2个步骤,

第一个步骤,就是一个原则,交叉相除或交叉相乘。

第二个步骤,就是确定买卖方向,从interbank处买入,dealer处卖出。或者从intebank处卖出,dealer处买入。注意买要用ask价,卖要用bid价。


结合本题

第一步:计算交叉汇率

计算 CHF /BRL,首先要确定,使用的是除法,交叉相除:


CHF/BRL = (0.9099/1.7792)/(0.9101/1.7790) = 0.5114/0.5116


这是interbank报价


第二步:对比interbank和dealer报价,计算profit


dealer的报价是 0.5161/0.5163


因此我们需要从interbank处买入BRL,在dealer处卖出BRL

买入价是interbank的ask价,就是0.5116

卖出价是dealer的bid价,就是0.5161


利润 = 0.5161-0.5116 = 0.0045CHF


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加油吧,让我们一起遇见更好的自己!

兔小兔 · 2022年01月18日

我的计算方法是不是和mtm value搞混了

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NO.PZ201512020800000102问题如下2. Baseon Exhibit 2, the most appropriate recommention regarng the triangularbitrage tra is to: A.cline the tra, no arbitrage profits are possible. B.execute the tra, buy BRL in the interbank market ansell it to the aler. C.execute the tra, buy BRL from the aler ansell it in the interbank market. B is correct.The aler is posting offer rate to buy BRL a prithis too high. This overpricing is terminecalculating the interbank impliecross rate for the CHF/BRL using the intuitive equation-baseapproach:CHF/BRL=CHF/US(BRL/US−1CHF/BRL=CHF/UStimes{(BRL/US}^{-1}CHF/BRL=CHF/US(BRL/US−1, orCHF/BRL=CHF/US(USBRL)CHF/BRL=CHF/UStimes{(USBRL)}CHF/BRL=CHF/US(USBRL)Inverting the BRL/USgiven quotes in Exhibit 2 termines the USBRL bioffer rates of 0.56205/0.56211 (The biof 0.56205 is the inverse of the BRL/USoffer, calculate1/1.7792; the offer of 0.56211 is the inverse of the BRL/USbi calculate1/1.7790). Multiplying the CHF/USanUSBRL bioffer rates then lea to the interbank implieCHF/BRL cross rate of:Bi 0.9099 × 0.56205 = 0.5114Offer: 0.9101 × 0.56211 = 0.5116Sinthe aler is willing to buy BRL 0.5161 but BRL cpurchasefrom the interbank market 0.5116, so there is arbitrage opportunity to buy BRL in the interbank market ansell them to the aler for a profit of 0.0045CHF (0.5161 – 0.5116) per BRL transacte考点三角套汇的经典考法,考的是其中的第一步和第二步.解析 第一步先判断有没有套利机会 , 也就是比较aler 和 interbank相同币种的报价 。 这道题我们对比的是CHF以及BRL这两种货币的报价。通过表二,运用交叉汇率,CHF/BRL=CHF/US(BRL/US−1CHF/BRL=CHF/UStimes{(BRL/US}^{-1}CHF/BRL=CHF/US(BRL/US−1, 或者 CHF/BRL=CHF/US(USBRL)CHF/BRL=CHF/UStimes{(USBRL)}CHF/BRL=CHF/US(USBRL),我们可以求得interbank市场上的买价和卖价,它们分别是Bi 0.9099 × 0.56205 = 0.5114Offer: 0.9101 × 0.56211 = 0.5116观察到,aler的报价是 0.5161/0.5163 高于interbank的报价,那么投资者就可以以 0.5116CHF/BRL的价格买入BRL,再以0.5161CHF/BRL的价格卖出BRL,从而实现0.0045CHF (0.5161 – 0.5116) 的套利利润。答案里面说那么投资者就可以以 0.5116CHF/BRL的价格买入BRL,再以0.5161CHF/BRL的价格卖出BRL,从而实现0.0045CHF (0.5161 – 0.5116) 的套利利润。套利货币到底是CHF还是BRL?

2022-03-20 16:58 1 · 回答

最后一段中文翻译是不是写反了

2019-03-08 13:51 1 · 回答

中文是不是写反了 应该是0.5116interbank买 然后0.5161卖给aler吧

2019-01-06 01:22 1 · 回答

    老师好,前面的计算过程都没问题。但是利用乘小除大算出来的是0.51141-0.51158不是interbank market吗?而题目中aler给的是另外的数据,所以我得出的结论是反的,应该是从interbank按照0.51158买更便宜的BRL,在aler 那里以0.5161来卖,才对 啊?我哪里错了?答案为什么这样?

2018-12-05 19:40 2 · 回答