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杨木木 · 2020年03月09日

问一道题:NO.PZ201701230200000105

* 问题详情,请 查看题干

问题如下:

5. For Assignment 1, the yield to maturity for Bond Z is closest to the:

选项:

A.

one-year spot rate

B.

two-year spot rate

C.

three-year spot rate

解释:

C is correct.

The yield to maturity, y(3), of Bond Z should be a weighted average of the spot rates used in the valuation of the bond. Because the bond’s largest cash flow occurs in Year 3, r(3) will have a greater weight than r(1) and r(2) in determining y(3).

Using the spot rates:

Price=$60/(1.025)+$60/(1.030)2+$1060/(1.035)3=$1071.16

Using the yield to maturity:

Price=$60/[1+y(3)]+$60/[1+y(3)]2+$1060/[1+y(3)]3=1071.16

Using a calculator, the compute result is y(3)=3.46%, which is closest to the three-year spot rate of

3.5%

Par Bond 的定义:par bond is a bond that sells at its exact face value.

如果正常求YTM,我会。但是题目里提到,$1000 Par Bond, 不应该price = 1000,然后YTM不是应该直接等于coupon rate 6%吗?

1 个答案
已采纳答案

WallE_品职答疑助手 · 2020年03月09日

同学你好,

$1000 Par Bond,的意思是这个bond的面值是1000. 并不是说这个bond issue at par. 如果这个bond issued at par 并且持有到期,这个时候的YTM才等于coupon rate.

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