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Nicole Cai · 2024年04月16日

annualized convexity

NO.PZ2023052301000051

问题如下:

A bond pays a semiannual fixed coupon of 4.70%. It trades at par on its coupon date of 16 December 2025 and matures on 16 December 2033. The bond’s annualized convexity statistic is closest to:

选项:

A.

51.670

B.

53.231

C.

206.681

解释:

A is correct.


Annualized convecity怎么算?公式怎么样的?

1 个答案

吴昊_品职助教 · 2024年04月17日

嗨,努力学习的PZer你好:


1、原版书上关于annualized convexity的相关计算,只给出了Convexity of Cash Flows的计算公式。有了每一期现金流的convexity之后,将它们加总起来,再除以一年计息次数的平方,即可得到annualized convexity。由于计算量太大,个人认为在考试中不会考察一整道题,要么计算其中的一小步,要么就是题目已经给出了sum,相当于做了一个简化。

2、回到本题,第七栏就是我们下方的公式,计算出每一期现金流的convexity,全部加总后得到206.68136,在此基础上除以4,得到51.67034。因为债券是一年付息两次,2的平方,所以除以4。

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