开发者:上海品职教育科技有限公司 隐私政策详情

应用版本:4.2.11(IOS)|3.2.5(安卓)APP下载

Timedbean · 2024年10月27日

答案II

NO.PZ2023091701000056

问题如下:

Which of the following statements are TRUE?

I.The convexity of a 10-year zero coupon bond is higher than the convexity of a 10-year, 6% bond.

II.The convexity of a 10-year zero coupon bond is higher than the convexity of a 6% bond with a duration of 10 years.

III.Convexity grows proportionately with the maturity of the bond.

IV.Convexity is always positive for all types of bonds.

V.Convexity is always positive for “straight” bonds.

选项:

A.I only B.I and II only C.I and V only D.II, III, and V only

解释:

All else equal, convexity increase for longer maturities, lower coupons, and lower yields.

Bonds with embedded options (e.g., callable bonds) exhibit negative convexity over certain ranges of yields while straight bonds with no embedded options exhibit positive convexity over the entire range of yields.

请问一下为什么答案II 不对呢

当10年 zero coupon bond duration 应该=10

两个bond duration都=10

当duration相等,不应该是lower the coupon lower the convexity 么?

1 个答案

pzqa27 · 2024年10月28日

嗨,努力学习的PZer你好:


并不是,convexity可以认为是现金流的离散程度,而0息债券只有1笔现金流,它的现金流高度集中,而付息债券的现金流非常分散,所以convexity比较高,下图正是对这个结论的论述,可以看到同样是7years的duration,付息债券的convexity都比0息债券的高。

----------------------------------------------
就算太阳没有迎着我们而来,我们正在朝着它而去,加油!