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nothing107 · 2020年04月26日

问一道题:NO.PZ201512020800000103

* 问题详情,请 查看题干

问题如下:

3. Based on Exhibit 3, the potential all-in USD return on the carry trade is closest to:

选项:

A.

1.04%.

B.

1.40%.

C.

1.84%.

解释:

A is correct.

The carry trade involves borrowing in a lower yielding currency to invest in a higher yielding one and netting any profit after allowing for borrowing costs and exchange rate movements. The relevant trade is to borrow USD and lend in Euros. To calculate the all-in USD return from a one-year EUR Libor deposit, first determine the current and one-year later USD/EUR exchange rates. Because one USD buys CAD 1.0055 today, and one CAD buys EUR 0.7218 today, today’s EUR/USD rate is the product of these two numbers:

1.0055 × 0.7218 = 0.7258. The projected rate one year later is: 1.0006 × 0.7279 = 0.7283. Accordingly, measured in dollars, the investment return for the unhedged EUR Libor deposit is equal to:

(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 be charged against this gross return to fund the carry trade investment (one-year USD Libor was 0.80%). The net return on the carry trade is thereby closest to: 1.84% – 0.80% = 1.04%.

考点Carry trade 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USD/EUR的汇率报价,根据表3,利用交叉汇率可得 EUR/USD=CAD/USD*EUR/CAD:

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 trade 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%.

老师,如果直接换成CAD,收益为1.0055*1.0171÷1.0006-1=2.208%,扣除usd的成本0.8%后,return为1.408%。比换成EUR后的1.04%大,为什么不直接换成CAD,而要换成EUR?

1 个答案

丹丹_品职答疑助手 · 2020年04月27日

嗨,爱思考的PZer你好:


同学你好,本题考查的是carry trade

carry trade就是要在低利率国家借钱投资在高收益国家。根据表格3,欧元利率最高,美元最低所以利用二者进行套利。


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题干里给的数字跟答案解析里的不一样,答案解析里的数字也前后对不上

2024-10-28 09:19 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%. 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

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