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Jon · 2023年02月19日

答案中第二点129.96的计算过程和逻辑麻烦讲解下

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NO.PZ202208160100000105

问题如下:

Based on the data in Exhibit 1, the expected net investment return on a one-year carry trade based on the JPY/EUR currency pair, measured in JPY terms, is closest to:

选项:

A.2.86%.

B.3.10%.

C.3.01%.

解释:

Solution

A is correct. In a carry trade, an investor will borrow in the low interest rate currency, the JPY, at 0.15% and invest in the high interest rate currency, the EUR, at 1.40%.

Calculate the current and one-year-later JPY/EUR cross-rates.

  1. Borrow JPY and buy USD for JPY117.66 (offer); then use USD to buy EUR for USD1.0873 (offer). This generates a cross-rate of 117.66 × 1.0873 = 127.932 = 127.93JPY/EUR.

  2. The one-year-later cross-rate for the JPY/EUR is calculated as 118.32 × 1.0984 = 129.963 = 129.96.

The net investment return for the unhedged EUR deposit, measured in JPY, is calculated as

[1127.93×(1+0.0140)×129.96][1.000×(1+0.0015)]=1.03011.0015=0.0286=2.86%

C is incorrect. It neglects to deduct the interest on the JPY loan.

[1127.93×(1+0.0140)×129.96](1.0000)=1.03011.0000=0.0301=3.01%

B is incorrect. It incorrectly uses the bid cross-rate in the first step.

117.62 × 1.0851 = 127.629 = 127.63

[1127.63×(1+0.0140)×129.96][1.0000×(1+0.0015)]=1.03251.0015=0.0310=3.10%

答案中第二点129.96的计算过程和逻辑麻烦讲解下

1 个答案

笛子_品职助教 · 2023年02月21日

嗨,从没放弃的小努力你好:


答案中第二点129.96的计算过程和逻辑麻烦讲解下


Hello,亲爱的同学!

我们看条件。


同学的问题是,JPY/USD = 118.32,USD/EUR = 1.0984,如何计算JPY/EUR


我们看JPY/EUR = JPY/USD x USD/EUR,两个汇率乘起来,JPY/USD,分母USD,正好和,USD/EUR,分子的USD,抵消,就得到了JPY/EUR。


因此:

JPY/EUR = JPY/USD x USD/EUR = 118.32 × 1.0984 = 129.96


如果还有其他问题,欢迎同学随时提问~ 祝学习顺利!


----------------------------------------------
努力的时光都是限量版,加油!

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NO.PZ202208160100000105 问题如下 Baseon the ta in Exhibit 1, the expectenet investment return on a one-yecarry tra baseon the JPY/EUR currenpair, measurein JPY terms, is closest to: A.2.86%. B.3.10%. C.3.01%. SolutionA is correct. In a carry tra, investor will borrow in the low interest rate currency, the JPY, 0.15% aninvest in the high interest rate currency, the EUR, 1.40%.Calculate the current anone-year-later JPY/EUR cross-rates.Borrow JPY anbuy USfor JPY117.66 (offer); then use USto buy EUR for US.0873 (offer). This generates a cross-rate of 117.66 × 1.0873 = 127.932 = 127.93JPY/EUR.The one-year-later cross-rate for the JPY/EUR is calculate118.32 × 1.0984 = 129.963 = 129.96.The net investment return for the unheeEUR posit, measurein JPY, is calculateas[1127.93×(1+0.0140)×129.96]−[1.000×(1+0.0015)]=1.0301−1.0015=0.0286=2.86% 1 127.93 × 1+0.0140 ×129.96 − 1.000× 1+0.0015 =1.0301−1.0015 =0.0286=2.86% C is incorrect. It neglects to the interest on the JPY loan.[1127.93×(1+0.0140)×129.96]−(1.0000)=1.0301−1.0000=0.0301=3.01% 1 127.93 × 1+0.0140 ×129.96 − 1.0000 =1.0301−1.0000 =0.0301=3.01% B is incorrect. It incorrectly uses the bicross-rate in the first step.117.62 × 1.0851 = 127.629 = 127.63 [1127.63×(1+0.0140)×129.96]−[1.0000×(1+0.0015)]=1.0325−1.0015=0.0310=3.10% 1 127.63 × 1+0.0140 ×129.96 − 1.0000× 1+0.0015 =1.0325−1.0015 =0.0310=3.10% A是正确的。在套利交易中,投资者将以0.15%的利率借入低利率货币日元,并以1.40%的利率投资于高利率货币欧元。计算当前和一年后的日元/欧元交叉汇率。借入日元并买入美元至JPY117.66(卖出价);然后用美元以1.0873美元(卖出价)买入欧元。这就产生了117.66 × 1.0873 = 127.932 = 127.93日元/欧元的交叉汇率。一年后日元/欧元的交叉汇率计算为118.32 × 1.0984 = 129.963 = 129.96。 未对冲欧元存款的净投资回报,以日元计算,计算公式为[1127.93×(1 + 0.0140)×129.96)−[1.000×(1 + 0.0015)= 1.0301−1.0015 = 0.0286 = 2.86%C是不正确的。它忽略了扣除日元贷款的利息。[1127.93×(1 + 0.0140)×129.96)−(1.0000)= 1.0301−1.0000 = 0.0301 = 3.01%B不正确。它在第一步中错误地使用了买价交叉汇率。117.62 × 1.0851 = 127.629 = 127.63[1127.63×(1 + 0.0140)×129.96)−[1.0000×(1 + 0.0015)= 1.0325−1.0015 = 0.0310 = 3.10%A是不正确的。候选人将美元/欧元的报价颠倒,但没有交换买入价和卖出价,因此使用卖出价交叉利率错误地计算了银行间市场的买入价交叉利率。买价:0.9216 × 0.7050 = 0.64973 = 0.6497因此,银行间市场隐含的欧元/澳元买入价交叉利率为0.6497。C是不正确的。候选人错误地将两个投标利率相乘以计算银行间市场交叉利率。买价:0.7050 × 1.0851 = 0.76500 = 0.7650因此,银行间市场隐含的欧元/澳元买入价交叉利率为0.7650。 谢谢

2024-08-22 06:52 2 · 回答

NO.PZ202208160100000105 问题如下 Baseon the ta in Exhibit 1, the expectenet investment return on a one-yecarry tra baseon the JPY/EUR currenpair, measurein JPY terms, is closest to: A.2.86%. B.3.10%. C.3.01%. SolutionA is correct. In a carry tra, investor will borrow in the low interest rate currency, the JPY, 0.15% aninvest in the high interest rate currency, the EUR, 1.40%.Calculate the current anone-year-later JPY/EUR cross-rates.Borrow JPY anbuy USfor JPY117.66 (offer); then use USto buy EUR for US.0873 (offer). This generates a cross-rate of 117.66 × 1.0873 = 127.932 = 127.93JPY/EUR.The one-year-later cross-rate for the JPY/EUR is calculate118.32 × 1.0984 = 129.963 = 129.96.The net investment return for the unheeEUR posit, measurein JPY, is calculateas[1127.93×(1+0.0140)×129.96]−[1.000×(1+0.0015)]=1.0301−1.0015=0.0286=2.86% 1 127.93 × 1+0.0140 ×129.96 − 1.000× 1+0.0015 =1.0301−1.0015 =0.0286=2.86% C is incorrect. It neglects to the interest on the JPY loan.[1127.93×(1+0.0140)×129.96]−(1.0000)=1.0301−1.0000=0.0301=3.01% 1 127.93 × 1+0.0140 ×129.96 − 1.0000 =1.0301−1.0000 =0.0301=3.01% B is incorrect. It incorrectly uses the bicross-rate in the first step.117.62 × 1.0851 = 127.629 = 127.63 [1127.63×(1+0.0140)×129.96]−[1.0000×(1+0.0015)]=1.0325−1.0015=0.0310=3.10% 1 127.63 × 1+0.0140 ×129.96 − 1.0000× 1+0.0015 =1.0325−1.0015 =0.0310=3.10% A是正确的。在套利交易中,投资者将以0.15%的利率借入低利率货币日元,并以1.40%的利率投资于高利率货币欧元。计算当前和一年后的日元/欧元交叉汇率。借入日元并买入美元至JPY117.66(卖出价);然后用美元以1.0873美元(卖出价)买入欧元。这就产生了117.66 × 1.0873 = 127.932 = 127.93日元/欧元的交叉汇率。一年后日元/欧元的交叉汇率计算为118.32 × 1.0984 = 129.963 = 129.96。 未对冲欧元存款的净投资回报,以日元计算,计算公式为[1127.93×(1 + 0.0140)×129.96)−[1.000×(1 + 0.0015)= 1.0301−1.0015 = 0.0286 = 2.86%C是不正确的。它忽略了扣除日元贷款的利息。[1127.93×(1 + 0.0140)×129.96)−(1.0000)= 1.0301−1.0000 = 0.0301 = 3.01%B不正确。它在第一步中错误地使用了买价交叉汇率。117.62 × 1.0851 = 127.629 = 127.63[1127.63×(1 + 0.0140)×129.96)−[1.0000×(1 + 0.0015)= 1.0325−1.0015 = 0.0310 = 3.10%A是不正确的。候选人将美元/欧元的报价颠倒,但没有交换买入价和卖出价,因此使用卖出价交叉利率错误地计算了银行间市场的买入价交叉利率。买价:0.9216 × 0.7050 = 0.64973 = 0.6497因此,银行间市场隐含的欧元/澳元买入价交叉利率为0.6497。C是不正确的。候选人错误地将两个投标利率相乘以计算银行间市场交叉利率。买价:0.7050 × 1.0851 = 0.76500 = 0.7650因此,银行间市场隐含的欧元/澳元买入价交叉利率为0.7650。

2024-07-23 23:27 1 · 回答

NO.PZ202208160100000105 问题如下 Baseon the ta in Exhibit 1, the expectenet investment return on a one-yecarry tra baseon the JPY/EUR currenpair, measurein JPY terms, is closest to: A.2.86%. B.3.10%. C.3.01%. SolutionA is correct. In a carry tra, investor will borrow in the low interest rate currency, the JPY, 0.15% aninvest in the high interest rate currency, the EUR, 1.40%.Calculate the current anone-year-later JPY/EUR cross-rates.Borrow JPY anbuy USfor JPY117.66 (offer); then use USto buy EUR for US.0873 (offer). This generates a cross-rate of 117.66 × 1.0873 = 127.932 = 127.93JPY/EUR.The one-year-later cross-rate for the JPY/EUR is calculate118.32 × 1.0984 = 129.963 = 129.96.The net investment return for the unheeEUR posit, measurein JPY, is calculateas[1127.93×(1+0.0140)×129.96]−[1.000×(1+0.0015)]=1.0301−1.0015=0.0286=2.86% 1 127.93 × 1+0.0140 ×129.96 − 1.000× 1+0.0015 =1.0301−1.0015 =0.0286=2.86% C is incorrect. It neglects to the interest on the JPY loan.[1127.93×(1+0.0140)×129.96]−(1.0000)=1.0301−1.0000=0.0301=3.01% 1 127.93 × 1+0.0140 ×129.96 − 1.0000 =1.0301−1.0000 =0.0301=3.01% B is incorrect. It incorrectly uses the bicross-rate in the first step.117.62 × 1.0851 = 127.629 = 127.63 [1127.63×(1+0.0140)×129.96]−[1.0000×(1+0.0015)]=1.0325−1.0015=0.0310=3.10% 1 127.63 × 1+0.0140 ×129.96 − 1.0000× 1+0.0015 =1.0325−1.0015 =0.0310=3.10% A是正确的。在套利交易中,投资者将以0.15%的利率借入低利率货币日元,并以1.40%的利率投资于高利率货币欧元。计算当前和一年后的日元/欧元交叉汇率。借入日元并买入美元至JPY117.66(卖出价);然后用美元以1.0873美元(卖出价)买入欧元。这就产生了117.66 × 1.0873 = 127.932 = 127.93日元/欧元的交叉汇率。一年后日元/欧元的交叉汇率计算为118.32 × 1.0984 = 129.963 = 129.96。 未对冲欧元存款的净投资回报,以日元计算,计算公式为[1127.93×(1 + 0.0140)×129.96)−[1.000×(1 + 0.0015)= 1.0301−1.0015 = 0.0286 = 2.86%C是不正确的。它忽略了扣除日元贷款的利息。[1127.93×(1 + 0.0140)×129.96)−(1.0000)= 1.0301−1.0000 = 0.0301 = 3.01%B不正确。它在第一步中错误地使用了买价交叉汇率。117.62 × 1.0851 = 127.629 = 127.63[1127.63×(1 + 0.0140)×129.96)−[1.0000×(1 + 0.0015)= 1.0325−1.0015 = 0.0310 = 3.10%A是不正确的。候选人将美元/欧元的报价颠倒,但没有交换买入价和卖出价,因此使用卖出价交叉利率错误地计算了银行间市场的买入价交叉利率。买价:0.9216 × 0.7050 = 0.64973 = 0.6497因此,银行间市场隐含的欧元/澳元买入价交叉利率为0.6497。C是不正确的。候选人错误地将两个投标利率相乘以计算银行间市场交叉利率。买价:0.7050 × 1.0851 = 0.76500 = 0.7650因此,银行间市场隐含的欧元/澳元买入价交叉利率为0.7650。 这道题用的是哪个公式

2024-06-29 09:56 1 · 回答

NO.PZ202208160100000105 问题如下 Baseon the ta in Exhibit 1, the expectenet investment return on a one-yecarry tra baseon the JPY/EUR currenpair, measurein JPY terms, is closest to: A.2.86%. B.3.10%. C.3.01%. SolutionA is correct. In a carry tra, investor will borrow in the low interest rate currency, the JPY, 0.15% aninvest in the high interest rate currency, the EUR, 1.40%.Calculate the current anone-year-later JPY/EUR cross-rates.Borrow JPY anbuy USfor JPY117.66 (offer); then use USto buy EUR for US.0873 (offer). This generates a cross-rate of 117.66 × 1.0873 = 127.932 = 127.93JPY/EUR.The one-year-later cross-rate for the JPY/EUR is calculate118.32 × 1.0984 = 129.963 = 129.96.The net investment return for the unheeEUR posit, measurein JPY, is calculateas[1127.93×(1+0.0140)×129.96]−[1.000×(1+0.0015)]=1.0301−1.0015=0.0286=2.86% 1 127.93 × 1+0.0140 ×129.96 − 1.000× 1+0.0015 =1.0301−1.0015 =0.0286=2.86% C is incorrect. It neglects to the interest on the JPY loan.[1127.93×(1+0.0140)×129.96]−(1.0000)=1.0301−1.0000=0.0301=3.01% 1 127.93 × 1+0.0140 ×129.96 − 1.0000 =1.0301−1.0000 =0.0301=3.01% B is incorrect. It incorrectly uses the bicross-rate in the first step.117.62 × 1.0851 = 127.629 = 127.63 [1127.63×(1+0.0140)×129.96]−[1.0000×(1+0.0015)]=1.0325−1.0015=0.0310=3.10% 1 127.63 × 1+0.0140 ×129.96 − 1.0000× 1+0.0015 =1.0325−1.0015 =0.0310=3.10% A是正确的。在套利交易中,投资者将以0.15%的利率借入低利率货币日元,并以1.40%的利率投资于高利率货币欧元。计算当前和一年后的日元/欧元交叉汇率。借入日元并买入美元至JPY117.66(卖出价);然后用美元以1.0873美元(卖出价)买入欧元。这就产生了117.66 × 1.0873 = 127.932 = 127.93日元/欧元的交叉汇率。一年后日元/欧元的交叉汇率计算为118.32 × 1.0984 = 129.963 = 129.96。 未对冲欧元存款的净投资回报,以日元计算,计算公式为[1127.93×(1 + 0.0140)×129.96)−[1.000×(1 + 0.0015)= 1.0301−1.0015 = 0.0286 = 2.86%C是不正确的。它忽略了扣除日元贷款的利息。[1127.93×(1 + 0.0140)×129.96)−(1.0000)= 1.0301−1.0000 = 0.0301 = 3.01%B不正确。它在第一步中错误地使用了买价交叉汇率。117.62 × 1.0851 = 127.629 = 127.63[1127.63×(1 + 0.0140)×129.96)−[1.0000×(1 + 0.0015)= 1.0325−1.0015 = 0.0310 = 3.10%A是不正确的。候选人将美元/欧元的报价颠倒,但没有交换买入价和卖出价,因此使用卖出价交叉利率错误地计算了银行间市场的买入价交叉利率。买价:0.9216 × 0.7050 = 0.64973 = 0.6497因此,银行间市场隐含的欧元/澳元买入价交叉利率为0.6497。C是不正确的。候选人错误地将两个投标利率相乘以计算银行间市场交叉利率。买价:0.7050 × 1.0851 = 0.76500 = 0.7650因此,银行间市场隐含的欧元/澳元买入价交叉利率为0.7650。 什么条件用的是mi什么条件用的offer?

2024-04-23 20:58 1 · 回答

NO.PZ202208160100000105 问题如下 Baseon the ta in Exhibit 1, the expectenet investment return on a one-yecarry tra baseon the JPY/EUR currenpair, measurein JPY terms, is closest to: A.2.86%. B.3.10%. C.3.01%. SolutionA is correct. In a carry tra, investor will borrow in the low interest rate currency, the JPY, 0.15% aninvest in the high interest rate currency, the EUR, 1.40%.Calculate the current anone-year-later JPY/EUR cross-rates.Borrow JPY anbuy USfor JPY117.66 (offer); then use USto buy EUR for US.0873 (offer). This generates a cross-rate of 117.66 × 1.0873 = 127.932 = 127.93JPY/EUR.The one-year-later cross-rate for the JPY/EUR is calculate118.32 × 1.0984 = 129.963 = 129.96.The net investment return for the unheeEUR posit, measurein JPY, is calculateas[1127.93×(1+0.0140)×129.96]−[1.000×(1+0.0015)]=1.0301−1.0015=0.0286=2.86% 1 127.93 × 1+0.0140 ×129.96 − 1.000× 1+0.0015 =1.0301−1.0015 =0.0286=2.86% C is incorrect. It neglects to the interest on the JPY loan.[1127.93×(1+0.0140)×129.96]−(1.0000)=1.0301−1.0000=0.0301=3.01% 1 127.93 × 1+0.0140 ×129.96 − 1.0000 =1.0301−1.0000 =0.0301=3.01% B is incorrect. It incorrectly uses the bicross-rate in the first step.117.62 × 1.0851 = 127.629 = 127.63 [1127.63×(1+0.0140)×129.96]−[1.0000×(1+0.0015)]=1.0325−1.0015=0.0310=3.10% 1 127.63 × 1+0.0140 ×129.96 − 1.0000× 1+0.0015 =1.0325−1.0015 =0.0310=3.10% A是正确的。在套利交易中,投资者将以0.15%的利率借入低利率货币日元,并以1.40%的利率投资于高利率货币欧元。计算当前和一年后的日元/欧元交叉汇率。借入日元并买入美元至JPY117.66(卖出价);然后用美元以1.0873美元(卖出价)买入欧元。这就产生了117.66 × 1.0873 = 127.932 = 127.93日元/欧元的交叉汇率。一年后日元/欧元的交叉汇率计算为118.32 × 1.0984 = 129.963 = 129.96。 未对冲欧元存款的净投资回报,以日元计算,计算公式为[1127.93×(1 + 0.0140)×129.96)−[1.000×(1 + 0.0015)= 1.0301−1.0015 = 0.0286 = 2.86%C是不正确的。它忽略了扣除日元贷款的利息。[1127.93×(1 + 0.0140)×129.96)−(1.0000)= 1.0301−1.0000 = 0.0301 = 3.01%B不正确。它在第一步中错误地使用了买价交叉汇率。117.62 × 1.0851 = 127.629 = 127.63[1127.63×(1 + 0.0140)×129.96)−[1.0000×(1 + 0.0015)= 1.0325−1.0015 = 0.0310 = 3.10%A是不正确的。候选人将美元/欧元的报价颠倒,但没有交换买入价和卖出价,因此使用卖出价交叉利率错误地计算了银行间市场的买入价交叉利率。买价:0.9216 × 0.7050 = 0.64973 = 0.6497因此,银行间市场隐含的欧元/澳元买入价交叉利率为0.6497。C是不正确的。候选人错误地将两个投标利率相乘以计算银行间市场交叉利率。买价:0.7050 × 1.0851 = 0.76500 = 0.7650因此,银行间市场隐含的欧元/澳元买入价交叉利率为0.7650。 我的做法是1/127.932 * (1+1.4%)*129.9626 -1 =0.030095再scount日本的利息0.15% 最后算出~3%是不是哪里有问题?

2023-12-22 14:26 1 · 回答