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miao999 · 2022年02月20日

你好,这里怎么求的convexity啊,modified convexity是在哪里讲过呢。

NO.PZ2020021204000018

问题如下:

A three-year bond with a face value of USD 100 pays coupons annually at the rate of 10% per year. Its yield is 7% with annual compounding. What are (a) the Macaulay duration, (b) the convexity, (c) the modified duration, and (d) the modified convexity?

选项:

解释:

The Macaulay duration is 2.7458, the convexity is 7.9021,

and the modified duration is

2.7458 / 1.07 = 2.5661

The modified convexity is

7.9021/1.072 = 6.9020

你好,这里怎么求的convexity啊,modified convexity是在哪里讲过呢。

1 个答案

DD仔_品职助教 · 2022年02月20日

嗨,努力学习的PZer你好:


同学你好,

duration=现金流的现值权重*时间 的加总

convexity=现金流的现值权重*时间的平方 的加总

modified convexity讲义上没有写,但是他和modified duration的计算方法一样,等于convexity/(1+利率)

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

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