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Jenny · 2023年08月07日

为什么不选A呢

NO.PZ2023041003000024

问题如下:

One of the banks investments is exposed to movements in the Japanese yen, and Johnson desires to hedge the currency exposure. She prices a one-year fixed-for-fixed currency swap involving yen and US dollars, with a quarterly reset. Johnson uses the interest rate data presented in Exhibit 3 to price the currency swap.

Exhibit 3 Selected Japanese and US Interest Rate Data

Based on Exhibit 3, Johnson should determine that the annualized equilibrium fixed swap rate for Japanese yen is closest to:

选项:

A.

0.0624%.

B.

0.1375%.

C.

0.2496%.

解释:

The equilibrium swap fixed rate for yen is calculated as


The yen present value factors are calculated as


l 90-day PV factor =1/[0.0005(90/360)] = 0.999875.

l 180-day PV factor =1/[0.0010(180/360)] = 0.999500.

l 270-day PV factor =1/[ 0.0015(270/360)] = 0.998876.

l 360-day PV factor =1/[ 0.0025(360/360)] = 0.997506.

Sum of present value factors = 3.995757.

Therefore, the yen periodic rate is calculated as


The annualized rate is (360/90) times the periodic rate of 0.0624%, or 0.2496%.

为什么不选A呢 A的计算过程不是年化了吗

1 个答案

Lucky_品职助教 · 2023年08月09日

嗨,努力学习的PZer你好:


在这个问题中,计算的关键在于如何将季度利率转换为年化利率,并且理解“equilibrium fixed swap rate”的概念。

首先,计算equilibrium fixed swap rate时,使用的是季度利率,而不是直接使用年化利率。这是因为货币掉期交换(currency swap)是一个跨越一年的交易,但是它的利率是在每个季度重置的。因此,计算的基础是季度利率。

其次,问题中计算的步骤如下:

  1. 计算每个季度的现值因子(present value factors):这里的现值因子是将未来的现金流折算到现在的因子。你提到的公式中,PV factor = 1 / [利率 * (时间/360)]。其中,利率是季度利率,时间是以天为单位。
  2. 将所有季度的现值因子相加,得到总的现值因子。
  3. 计算周期利率(periodic rate):这里的周期利率是指每个季度的利率。
  4. 将周期利率年化:将周期利率乘以4(因为一年有4个季度)得到年化利率。

关于选项A的计算过程,它直接使用了季度利率(0.0005%)来进行计算,但是这并没有考虑到重置的问题,因此并不能得到正确的答案。在问题中,需要将四个季度的利率都考虑进去,然后进行合适的计算步骤,才能得到正确的年化equilibrium fixed swap rate。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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答案判断及提示不正确 解析的答案不一致

2024-07-18 15:04 1 · 回答

NO.PZ2023041003000024 问题如下 One of the bank’s investments isexposeto movements in the Japanese yen, anJohnson sires to hee thecurrenexposure. She prices a one-yefixefor-fixecurrenswapinvolving yen anUS llars, with a quarterly reset. Johnson uses the interestrate ta presentein Exhibit 3 to prithe currenswap.Exhibit 3 SelecteJapanese anUS Interest Rate taBasen Exhibit 3, Johnson shoultermine ththe annualizeequilibrium fixewrate for Japanese yen is closest to: A.0.0624%. B.0.1375%. C.0.2496%. The equilibrium swfixerate for yen iscalculate The yen present value factors are calculatel 90-y PV factor =1/[0.0005(90/360)]= 0.999875. l 180-y PV factor =1/[0.0010(180/360)]= 0.999500.l 270-y PV factor =1/[0.0015(270/360)] = 0.998876. l 360-y PV factor =1/[0.0025(360/360)] = 0.997506.Sum of present value factors = 3.995757. Therefore, the yen perioc rate is calculates The annualizerate is (360/90) times theperioc rate of 0.0624%, or 0.2496%. 老师,您好!题目中哪里强调了这些利率是季度利率,而不是年利率呢?如下图一样,图中的题目答案是B,也没有额外进行年化,因为计算过程中就已经是年化的方式了。回到本题,如果强调了是季度利率,那么额外进行年化没问题。但是没看出来哪里强调过,没有额外强调则默认理解为年化利率才对,也就无需再年化了。麻烦老师一下,谢谢!

2023-08-15 23:19 1 · 回答