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_左边 · 2018年12月10日

问一道题:NO.PZ201512020800000103 第3小题 [ CFA II ]:

* 问题详情,请 查看题干

问题如下图:

选项:

A.

B.

C.

遇到的问题不在于题本身,而是计算器。为什么我使用计算器时,计算最后一步1.84%-0.8%算出来结果的是0.0183?输入如下“1.84➡️%➡️-➡️0.8➡️%➡️=”,出来的结果就是0.0183。哪里出错了呢?我按完0.8和%后,会看到计算器显示的是0.0001,但我不懂为什么,这样输入不对吗?谢谢。

1 个答案

silviaws · 2018年12月10日

百分比的加减法这样操作出来的答案基本都是错的,除非是100%+100%。因为咱们用的科学计算器聪明过头,所以如果这样输入计算器会默认为按照增长比来计算,所以计算器的解读就是1.84%减少0.8%的比例是多少,运算逻辑为1.84%*(1-0.8%)。所以,正确的操作是把%先忽略,算完之后再输入%就可以啦。

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NO.PZ201512020800000103 问题如下 3. Baseon Exhibit 3, the potentiall-in USreturn on the carry tra is closest to: A.1.04%. B.1.40%. C.1.84%. A is correct.The carry tra involves borrowing in a lower yielng currento invest in a higher yielng one annetting any profit after allowing for borrowing costs anexchange rate movements. The relevant tra is to borrow USanlenin Euros. To calculate the all-in USreturn from a one-yeEUR Libor posit, first termine the current anone-yelater USEUR exchange rates. Because one USbuys C1.0055 toy, anone Cbuys EUR 0.7218 toy, toy’s EUR/USrate is the proof these two numbers:1.0055 × 0.7218 = 0.7258. The projecterate one yelater is: 1.0006 × 0.7279 = 0.7283. Accorngly, measurein llars, the investment return for the unheeEUR Libor posit is equto:(1.0055 × 0.7218) × (1 + 0.022) × [1/(1.0006 × 0.7279)] –1= 0.7258 × (1.022)(1/0.7283) –1 = 1.0184 – 1 = 1.84%However, the borrowing costs must chargeagainst this gross return to funthe carry tra investment (one-yeUSLibor w0.80%). The net return on the carry tra is thereclosest to: 1.84% – 0.80% = 1.04%.考点Carry tra, 是二级经济必考的一个知识点。解析整体的逻辑就是从利率低的国家借钱投资到利率高的国家,这道题从表格可以看出美国的利率最低,而欧洲的利率最高,因此我们要从美国借钱投资到欧洲,然后再换回美元,再减去美元的资金成本,可以得到all-in return。第一步,我们需要确定即期以及一年之后USEUR的汇率报价,根据表3,利用交叉汇率可得 EUR/USCAUSEUR/CA即期汇率1.0055 × 0.7218 = 0.7258一年后的汇率:1.0006 × 0.7279 = 0.7283接着我们套用 carry tra 的公式,计算得到借美元,投欧元的投资收益(1.0055 × 0.7218) × (1 + 0.022) × [1/(1.0006 × 0.7279)] –1= 0.7258 × (1.022)(1/0.7283) –1 = 1.0184 – 1 = 1.84%注意到,借美元本身也有成本,那就是美元的利息,所以在计算all-in return时需要把这部分利息扣去这部分成本,最终得到1.84% – 0.80% = 1.04%. 为什么不可以(0.7258*1.022)/(0.7283*1.008)-1=1.04% 而且结果居然也是对的

2024-07-07 18:19 1 · 回答

NO.PZ201512020800000103问题如下 3. Baseon Exhibit 3, the potentiall-in USreturn on the carry tra is closest to:A.1.04%.B.1.40%.C.1.84%.A is correct.The carry tra involves borrowing in a lower yielng currento invest in a higher yielng one annetting any profit after allowing for borrowing costs anexchange rate movements. The relevant tra is to borrow USanlenin Euros. To calculate the all-in USreturn from a one-yeEUR Libor posit, first termine the current anone-yelater USEUR exchange rates. Because one USbuys C1.0055 toy, anone Cbuys EUR 0.7218 toy, toy’s EUR/USrate is the proof these two numbers:1.0055 × 0.7218 = 0.7258. The projecterate one yelater is: 1.0006 × 0.7279 = 0.7283. Accorngly, measurein llars, the investment return for the unheeEUR Libor posit is equto:(1.0055 × 0.7218) × (1 + 0.022) × [1/(1.0006 × 0.7279)] –1= 0.7258 × (1.022)(1/0.7283) –1 = 1.0184 – 1 = 1.84%However, the borrowing costs must chargeagainst this gross return to funthe carry tra investment (one-yeUSLibor w0.80%). The net return on the carry tra is thereclosest to: 1.84% – 0.80% = 1.04%.考点Carry tra, 是二级经济必考的一个知识点。解析整体的逻辑就是从利率低的国家借钱投资到利率高的国家,这道题从表格可以看出美国的利率最低,而欧洲的利率最高,因此我们要从美国借钱投资到欧洲,然后再换回美元,再减去美元的资金成本,可以得到all-in return。第一步,我们需要确定即期以及一年之后USEUR的汇率报价,根据表3,利用交叉汇率可得 EUR/USCAUSEUR/CA即期汇率1.0055 × 0.7218 = 0.7258一年后的汇率:1.0006 × 0.7279 = 0.7283接着我们套用 carry tra 的公式,计算得到借美元,投欧元的投资收益(1.0055 × 0.7218) × (1 + 0.022) × [1/(1.0006 × 0.7279)] –1= 0.7258 × (1.022)(1/0.7283) –1 = 1.0184 – 1 = 1.84%注意到,借美元本身也有成本,那就是美元的利息,所以在计算all-in return时需要把这部分利息扣去这部分成本,最终得到1.84% – 0.80% = 1.04%.问一下要算USEUR,为啥你算的是EUR/US是做倒数么

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2022-12-31 20:35 1 · 回答