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Cutie🍒 · 2020年02月24日

问一道题:NO.PZ2018062006000092

问题如下:

Crew Andserson, CFA, wants to find the G-spread for a corporate bond. The corporate bond has a maturity of 5 years and its coupon rate is 6.5%. The issue price of the corporate bond is $99.17. He finds a 5-year US government bond with a coupon rate of 3.5% as the benchmark. The government bond's issue price is $92.56. Assume for both of the bonds, the coupon is paid annually.

Please calculate G-spread in basis points:

选项:

A.

95 bps

B.

147 bps

C.

123 bps

解释:

B is correct.

First calculate the YTM of the 5-year US government bond:

92.56=3.5/(1+r)+3.5/(1+r)2+3.5/(1+r)3+ 3.5/(1+r)4+ 103.5/(1+r)5

r=523 bps

then calculate the YTM of the US corporate bond:

99.17=6.5/(1+r)+6.5/(1+r)2+6.5/(1+r)3+ 6.5/(1+r)4+ 106.5/(1+r)5

r=670 bps

G-spread=670-523=147 bps.

这一题不是太理解,麻烦讲解一下


1 个答案
已采纳答案

吴昊_品职助教 · 2020年02月24日

这道题要求的是G-spread,G-spread=Bond YTM - 国债YTM,两者的期限是一致的。

我们先求出corporate bond的YTM,N=5,PMT=6.5,PV=-99.17,FV=100,I/Y=6.7%;再求出国债的YTM,N=5,PMT=3.5,PV=-92.56,FV=100,I/Y=5.23%,两个YTM相减得到G-spread=1.47%=147bps