答案的101.5怎么算出来的

NO.PZ2020011303000166

问题如下：

A six-month bond that pays coupons at the rate of 5% per year is currently worth 100.5. The discount factor is 100.5/(100 + 2.5) = 0.980488.

A one-year bond that pays coupons every six months at the rate of 3% per year is currently worth 98.5. What is the one-year discount factor?

解释：

The value of the coupon that will be paid in six months is 1.5 × 0.980488 = 1.4707.

This means that the value of 101.5 received in one year is 98.5 − 1.4707 = 97.0293 so that the one-year discount factor is 97.0293/101.5 = 0.955953.

债券价格是未来现金流的折现，所以

98.5 = 1.5×6个月的discount factor + 101.5×一年的discount factor

已知6个月的discount factor=0.980488，

则一年的 discount factor = (98.5 - 1.5×0.980488)/101.5

答案的101.5怎么算出来的

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DD仔_品职助教 · 2022年03月21日

嗨，努力学习的PZer你好：

同学你好，

coupon rate3%，半年付息一次，coupon是1.5，本金是100.

现金流的形式就是6个月的时候有一笔coupon1.5，1年的时候有一笔coupon1.5+本金100=101.5。

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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.PZ2020011303000166问题如下 A six-month bonthpays coupons the rate of 5% per yeis currently worth 100.5. The scount factor is 100.5/(100 + 2.5) = 0.980488. A one-yebonthpays coupons every six months the rate of 3% per yeis currently worth 98.5. Whis the one-yescount factor? The value of the coupon thwill paiin six months is 1.5 × 0.980488 = 1.4707.This means ththe value of 101.5 receivein one yeis 98.5 − 1.4707= 97.0293 so ththe one-yescount factor is 97.0293/101.5 = 0.955953. 题目问已知6个月的scount factor为 0.980488。有一个1年债券，couponrate是3%，每半年付息一次，现在价值98.5，求1年的scount factor？债券价格是未来现金流的折现，所以98.5 = 1.5×6个月的scount factor + 101.5×一年的scount factor已知6个月的scount factor=0.980488，则一年的 scount factor = (98.5 - 1.5×0.980488)/101.5=0.955953. 这个题前后两问没有关系吧

2023-04-16 13:53 1 · 回答

老师您好，不理解这道题，麻烦再讲解一下

2020-05-16 00:09 1 · 回答

答案的101.5怎么算出来的

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