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

陈柏 · 2024年08月28日

yield变动是多少

NO.PZ2020011303000220

问题如下:

Consider a zero-coupon bond with a face value of USD 100 and a maturity of ten years. What is the effective convexity of the bond when the ten-year rate is 4% with semi-annual compounding? (Consider one basis-point changes and measure rates as decimals.)

解释:

The effective convexity is

(67.231190+ 67.3631452×67.297133)/ (67.297133×0.00012)=102.53

Note that more decimal places than those indicated were kept to provide this estimate of convexity.

题目问:一个零息债券的面值是100USD,期限是10年,当利率是4%,半年付息一次时,effective convexity是多少?

effective convexity=(V+ + V- -2*V0)/(V0*1bp^2)

(67.231190+ 67.3631452×67.297133)/ (67.297133×0.0001^2)=102.53

1bp涨得到V+,1bp跌得到V-,利率一共变动了2bp,为什么除的时候用1bp呢?

1 个答案

品职答疑小助手雍 · 2024年08月28日

嗨,爱思考的PZer你好:


原始的公式在基础班讲义190页。

主要是因为计算凸性的影响的时候,还要乘以1/2。

----------------------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!