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aileen20180623 · 2024年04月24日

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NO.PZ202208160100000202

问题如下:

Using the bid–offer quote midpoint in Exhibit 1 as the current spot rate and assuming uncovered interest rate parity holds, the projected one-year spot rate for the CAD/NZD currency pair is closest to:

选项:

A.0.8481. B.0.8308. C.0.8562.

解释:

Solution

B is correct. If uncovered interest rate parity holds, the expected spot rate one-year forward is equal to the one-year forward exchange rate. The forward exchange rate is calculated using the formula: S e = F f/d = S f/d 1+ i f 1+ i d where

Se = expected spot rate one-year forward

F = one-year forward exchange rate

Sf/d = spot rate today for the pair trade (mid-market of the CAD/NZD spot bid–offer = 0.8394)

1 + if = today’s one-year MRR for the foreign (price) currency

1 + id = today’s one-year MRR for the domestic (base) currency

The CAD is the foreign (price) currency, and the NZD is the domestic (base) currency

S e =F=0.8394 1+0.0095 1+0.02 =0.83076=0.8308

B is incorrect. It incorrectly reverses the MRR rates in the numerator and denominator in the calculation: Se = F = 0.8394[(1 + 0.02)/(1 + 0.0095)] = 0.84813 = 0.8481.

C is incorrect. It incorrectly multiplies the mid-point of the spot rate by the NZD one-year MRR rate: Se = F = 0.8394(1 + 0.02) = 0.8562.

中文解析:

B是正确的。如果未覆盖的利率平价保持不变,预期的一年期远期即期汇率等于一年期远期汇率。远期汇率的计算公式为:


Se=预期远期即期汇率

F =一年期远期汇率

Sf/d =今日该货币对交易的即期汇率(加元/纽元现货买卖中间价= 0.8394)

1 + if =今日外币(价格)的一年期MRR

1 + id =今天国内(基础)货币的一年期MRR

加元是外国(价格)货币,新西兰元是国内(基础)货币



选项B不正确。它错误地颠倒了计算中分子和分母中的MRR率:Se = F = 0.8394[(1 + 0.02)/(1 + 0.0095)] = 0.84813 = 0.8481。

C是不正确的。它错误地将即期汇率中点乘以新西兰元一年期MRR利率:Se = F = 0.8394(1 + 0.02) = 0.8562。

这题哪里提示用的bid?而不是另一个方向?

1 个答案

笛子_品职助教 · 2024年04月24日

嗨,爱思考的PZer你好:


这题哪里提示用的bid?而不是另一个方向?


Hello ,亲爱的同学~

这题给的条件是:


题目里给的计算是:

B is correct. If uncovered interest rate parity holds, the expected spot rate one-year forward is equal to the one-year forward exchange rate. The forward exchange rate is calculated using the formula:𝑆𝑒=𝐹𝑓/𝑑=𝑆𝑓/𝑑1+𝑖𝑓1+𝑖𝑑


并且Sf/d = spot rate today for the pair trade (mid-market of the CAD/NZD spot bid–offer = 0.8394。


由此可见,这题并没有提示用bid价0.8392,,这题也不能用ask价0.8396。

这题用的事中间价0.8394。


中间价0.8394 = (bid价0.8392 + ask 价0.8396)/ 2



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