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lz523 · 2025年06月29日

上课老师讲empirical duration是考虑benchmark和credit spread两个影响的呀

NO.PZ2021120102000010

问题如下:

Which of the following statements best describes empirical duration?

选项:

A.

A common way to calculate a bond’s empirical duration is to run a regression of its price returns on changes in a benchmark interest rate.

B.

A bond’s empirical duration tends to be larger than its effective duration.

C.

The price sensitivity of high-yield bonds to interest rate changes is typically higher than that of investment-grade bonds

解释:

A is correct. A bond’s empirical duration is often estimated by running a regression of its price returns on changes in a benchmark interest rate.

这里A怎么只对benchmark回归就对了呢?请老师解答谢谢

1 个答案

发亮_品职助教 · 2025年06月30日

选项A的表述没有问题。

是在计算债券价格的影响时,empirical duration算的债券价格改变是同时考虑到了benchmark rate和credit spread之间的反向运动。

但是在回归Empirical duration的时候,是用基准利率作为自变量的。


比如,基准利率下降1%,但是credit spread出现了反向的改变,如credit spread上升0.8%,所以只有其中的0.2%下降会影响到债券的价格。假设债券的modified duration=2,则债券的实际价格改变幅度是:-2×(-0.2%)=0.4%

现在用这个实际价格波动0.4%和基准利率的下降1%做回归,算出来的系数是empirical duration,回归出来的系数是:0.4。

所以这个债券的modified duration=2,但考虑到抵消作用后的empirical duration只有0.4.


在回归的时候,因变量Y是债券的实际价格波动,自变量X是基准利率的改变。

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