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Hazel · 2024年03月31日

duration不是负的吗?

NO.PZ2020011303000243

问题如下:

A two-year bond with a coupon of 8% and a face value of USD 10,000. There are two buckets: 0-1 year and 1-2 year, and the forward bucket 01s are 1.0358 and 0.9604 correspondingly.

Assume that the term structure is flat at 4% (semi-annually compounded).

Convert the forward bucket 01s to durations.

解释:

The value of the bond is

4001.02+4001.022+4001.023+10,4001.024=10,761.5457\frac{400}{1.02}+\frac{400}{1.02^2}+\frac{400}{1.02^3}+\frac{10,400}{1.02^4}=10,761.5457

The duration measure for the first forward bucket is

10,000×1.035810,761.5457=0.9625\frac{10,000\times1.0358}{10,761.5457}=0.9625

The duration measure for the second forward bucket is

10,000×0.960410,761.5457=0.8924\frac{10,000\times0.9604}{10,761.5457}=0.8924


题目问:2年期的债券coupon rate8%,面值是10k,当有2buckets0-1年和1-2年时,forward bucket 01s 1.0358 0.9604.

假设利率的期限结构是flat4%的利率,半年付息一次。请将forward bucket 01s转化成为durations

duration=面值*forward bucket 01/债券价格

请问一下为什么这里的Duration不带负号呢?

1 个答案

pzqa39 · 2024年04月01日

嗨,从没放弃的小努力你好:


严格来讲是应该通过负号来体现反向关系的,但是这道题的答案只计算出了数值,没有体现方向,就把负号省略了。我们自己能理解就好。

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

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NO.PZ2020011303000243 问题如下 A two-yebonwith a coupon of 8% ana favalue of US10,000. There are two buckets: 0-1 yean1-2 year, anthe forwarbucket 01s are 1.0358 an0.9604 corresponngly.Assume ththe term structure is fl4% (semi-annually compoun. Convert the forwarbucket 01s to rations. The value of the bonis 4001.02+4001.022+4001.023+10,4001.024=10,761.5457\frac{400}{1.02}+\frac{400}{1.02^2}+\frac{400}{1.02^3}+\frac{10,400}{1.02^4}=10,761.54571.02400​+1.022400​+1.023400​+1.02410,400​=10,761.5457The ration measure for the first forwarbucket is10,000×1.035810,761.5457=0.9625\frac{10,000\times1.0358}{10,761.5457}=0.962510,761.545710,000×1.0358​=0.9625The ration measure for the seconforwarbucket is10,000×0.960410,761.5457=0.8924\frac{10,000\times0.9604}{10,761.5457}=0.892410,761.545710,000×0.9604​=0.8924题目问2年期的债券couponrate是8%,面值是10k,当有2个buckets0-1年和1-2年时,forwarbucket 01s 为 1.0358 和 0.9604.假设利率的期限结构是flat,4%的利率,半年付息一次。请将forwarbucket 01s转化成为rations。ration=面值*forwarucket 01/债券价格 ration=面值*forwarbucket 01/债券价格这里为什么不是value而是面值?

2024-04-22 23:05 1 · 回答

NO.PZ2020011303000243 这一题,以及前面一个题,都没太看懂。 请问这个考点的计算,重要么?

2021-10-30 17:11 1 · 回答

Assume ththe term structure is flat 4% (semi-annually compoun ——这是什么意思?没有读懂题目,也不懂这里考的啥

2020-04-12 22:08 1 · 回答