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

JiangHan · 2023年02月12日

这个题不太会

NO.PZ2020021204000019

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., estimate the price change if the annually compounded yield changes from 7% to 8.5%, using both the duration and the duration plus convexity approximations.

选项:

解释:

Using duration, the price change is

-2.5661 X 107.8729 X 0.015= -4.1522

Using duration and convexity, it is

-2.5661 X 107.8729 X 0.015 + (1/2) X 6.9020 X 107.8729 X 0.0152 = -4.0685

The actual bond price decline is 4.0419, showing that duration plus convexity gives a better estimate than convexity alone.

可以给一个详细的解答吗

1 个答案
已采纳答案

品职答疑小助手雍 · 2023年02月13日

同学你好,具体过程如下:

  • 1

    回答
  • 0

    关注
  • 242

    浏览
相关问题

NO.PZ2020021204000019 问题如下 A three-yebonwith a favalue of US100 pays coupons annually the rate of 10% per year. Its yielis 7% with annucompounng., estimate the prichange if the annually compounyielchanges from 7% to 8.5%, using both the ration anthe ration plus convexity approximations. Using ration, the prichange is-2.5661 X 107.8729 X 0.015= -4.1522Using ration anconvexity, it is-2.5661 X 107.8729 X 0.015 + (1/2) X 6.9020 X 107.8729 X 0.0152 = -4.0685The actubonpricline is 4.0419, showing thration plus convexity gives a better estimate thconvexity alone. 这道题,按照时间的平方乘以权重去算凸性,凸性我算怎么等于7.9014,然后除以1.07的呀等于7.3845,不等于6.902啊

2024-11-06 11:24 1 · 回答

NO.PZ2020021204000019 问题如下 A three-yebonwith a favalue of US100 pays coupons annually the rate of 10% per year. Its yielis 7% with annucompounng., estimate the prichange if the annually compounyielchanges from 7% to 8.5%, using both the ration anthe ration plus convexity approximations. Using ration, the prichange is-2.5661 X 107.8729 X 0.015= -4.1522Using ration anconvexity, it is-2.5661 X 107.8729 X 0.015 + (1/2) X 6.9020 X 107.8729 X 0.0152 = -4.0685The actubonpricline is 4.0419, showing thration plus convexity gives a better estimate thconvexity alone.

2024-11-04 22:56 1 · 回答

NO.PZ2020021204000019问题如下A three-yebonwith a favalue of US100 pays coupons annually the rate of 10% per year. Its yielis 7% with annucompounng., estimate the prichange if the annually compounyielchanges from 7% to 8.5%, using both the ration anthe ration plus convexity approximations.Using ration, the prichange is-2.5661 X 107.8729 X 0.015= -4.1522Using ration anconvexity, it is-2.5661 X 107.8729 X 0.015 + (1/2) X 6.9020 X 107.8729 X 0.0152 = -4.0685The actubonpricline is 4.0419, showing thration plus convexity gives a better estimate thconvexity alone.不用mofieration=macaulration/(1+y)行不行?就用mofie定义式ta p=-ration*得塔y*p?得出结果是-2.5,与用mofie和macaulay的关系式求解的结果有少许差异。感觉这张图求convexity不太对吧?第一个蓝框您看课程例题的截图,不应该是权重(即现金流折现占现值比例)乘以时间的平方吗?如下图我写的0.08664*1+0.08097*4+0.8324*9吗?

2024-06-11 21:29 5 · 回答

NO.PZ2020021204000019 问题如下 A three-yebonwith a favalue of US100 pays coupons annually the rate of 10% per year. Its yielis 7% with annucompounng., estimate the prichange if the annually compounyielchanges from 7% to 8.5%, using both the ration anthe ration plus convexity approximations. Using ration, the prichange is-2.5661 X 107.8729 X 0.015= -4.1522Using ration anconvexity, it is-2.5661 X 107.8729 X 0.015 + (1/2) X 6.9020 X 107.8729 X 0.0152 = -4.0685The actubonpricline is 4.0419, showing thration plus convexity gives a better estimate thconvexity alone. 这个是在哪里体现的

2024-02-28 21:12 1 · 回答

NO.PZ2020021204000019 问题如下 A three-yebonwith a favalue of US100 pays coupons annually the rate of 10% per year. Its yielis 7% with annucompounng., estimate the prichange if the annually compounyielchanges from 7% to 8.5%, using both the ration anthe ration plus convexity approximations. Using ration, the prichange is-2.5661 X 107.8729 X 0.015= -4.1522Using ration anconvexity, it is-2.5661 X 107.8729 X 0.015 + (1/2) X 6.9020 X 107.8729 X 0.0152 = -4.0685The actubonpricline is 4.0419, showing thration plus convexity gives a better estimate thconvexity alone. No.PZ2020021204000019 (问答题)来源: 原版书A three-yebonwith a favalue of US100 pays coupons annually the rate of 10% per year. Its yielis 7% with annucompounng., estimate the prichange if the annually compounyielchanges from 7% to 8.5%, using both the ration anthe ration plus convexity approximations.解析Using ration, the prichange is-2.5661 X 107.8729 X 0.015= -4.1522Using ration anconvexity, it is-2.5661 X 107.8729 X 0.015 + (1/2) X 6.9020 X 107.8729 X 0.0152 = -4.0685The actubonpricline is 4.0419, showing thration plus convexity gives a better estimate thconvexity alone.问题为什么求二阶导的时候用的是mofieconvexity(=6.9020)而不是convexity(=7.9021),课上说的公式用的是convexity

2023-12-13 18:14 1 · 回答