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Zunniyaki · 2021年09月05日

convexity和effective convexity的区别?

* 问题详情,请 查看题干

NO.PZ201812020100000104

问题如下:

Based on Note 2, Rosaiso is the only fund for which the expected change in price based on the investor’s views of yields and yield spreads should be calculated using:

选项:

A.

convexity.

B.

modified duration.

C.

effective duration

解释:

C is correct.

Rosaiso is the only fund that holds bonds with embedded options. Effective duration should be used for bonds with embedded options. For bonds with embedded options, the duration and convexity measures used to calculate the expected change in price based on the investors’s views of yields and yield spreads are effective duration and effective convexity. For bonds without embedded options, convexity and modified duration are used in this calculation.

老师,你好!能否问下之前的知识,convexity和effecitve convexity从性质上和公式上的区别?我有点儿记不太清了

1 个答案

笛子_品职助教 · 2021年09月06日

嗨,从没放弃的小努力你好:




这2个都是凸性,convexity用于不含期权的债券,effective convexity用于含期权的债券。

convexity是数学推导,凸性,是价格变动的二阶倒,或对久期求导。

effective convexity因为含期权,所以无法使用理论推导,只能实证计算。

effective Convexity = (V- + V+ - 2 x V0) / (2 x V0 x (Change in y)^2)


effective这个词,总是与Option联系在一起。所以在本题中,看到with embedded options,就要选带effective的选项。



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