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二狗 · 2025年05月19日

这个YTM要怎么计算?

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NO.PZ202504240100010002

问题如下:

Based on the data in Exhibit 1 and the yield to maturity quoted by the dealer referenced in Module 2, what action should an analyst most likely take with regard to the Treasury bond?

选项:

A.Buy B.Sell C.Hold

解释:

Solution
  1. A is incorrect because the YTM of 7.89% is more expensive than, not cheaper than, the calculated fair value of the bond of 8.14%.

  2. B is correct. The quoted YTM of 7.89% is more expensive (price = $87.08) than the YTM based on the spot rates of 8.14% (price = $86.34), the analyst should sell the bond.

  3. C is incorrect because YTM of 7.89% is more expensive than, not equal to, the calculated fair value of the bond of 8.14%.

如题

1 个答案

吴昊_品职助教 · 2025年05月19日

嗨,从没放弃的小努力你好:


7.89%这个是module2中直接给出的。

8.14%的计算过程:

1、首先要将表格1中的各期spot rate都求出来。(计算过程就是答案解析中的step1和step2),可得S3=7%,S2=6.25%

2、然后利用spot rate折现和YTM折现得到的价格一致,反推出YTM。先计算用spot rate折现得到的债券价格:

4/1.055+4/1.0625^2+4/1.07^3+104/1.0825^4=86.34

3、利用计算器第三行

PV= -86.34, FV=100, N=4, PMT=4,求出I/Y=8.1368≈8.14%



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