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188****7003 · 2021年03月12日

答案 表述错了吧

  1. CFA I
  2. Fixed Income

NO.PZ2018062006000071

问题如下：

Today is 5 June 2013. A three-year semi-annual bond with a coupon rate of 6% just paid its first coupon payment. The interest payment dates are 5 April and 5 October. The yield-to-maturity equals to 5%. If day count convention is 30/360, calculate the flat price of this bond on 5 June 2013.

选项：

A.

102.17

B.

100.00

C.

100.24

解释：

A is correct.

The bond price at the first coupon payment date:

N=5，I/Y=2.5，PMT=3，FV=100 → PV= -102.32 

The number of days between 5 April 2013 (first coupon payment date) and today (5 June 2013) is 60 days based on the 30/360 day count convention.

Full price today:

102.32×（1+2.5%）60/180=103.17

Accrued Interest =100 × 3% × (60/180)=1

Flat price today:

Flat price= Full price- Accrued Interest=103.17-1=102.17

相当于是第一笔现金流发生在4.5，即时间轴上的第1个点，未来现金流往前折到这里N=5，所以计算器第一笔算出来的哪个102.32的P应该是4.5时的价格，first interest payment, 不是coupon payment 啊，coupon 说的是6.5，之后的思路也是4.5价格的基础上再按复利计算6.5时刻的full price

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1 个答案

吴昊_品职助教 · 2021年03月13日

嗨，爱思考的PZer你好：


同学你好：

题干中的interest payment和coupon payment是一个意思，都是利息支付的意思。6月5号不是付息日，不存在coupon。将4.5的102.32复利到6.5，得到103.17，再扣除掉accrued interest就可以得到6.5的flat price。下图中的六个时间点是coupon payment date（付息日）

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努力的时光都是限量版，加油！

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NO.PZ2018062006000071问题如下 Toy is 5 June 2013. A three-yesemi-annubonwith a coupon rate of 6% just paiits first coupon payment. The interest payment tes are 5 April an5 October. The yielto-maturity equals to 5%. If y count convention is 30/360, calculate the flpriof this bonon 5 June 2013.A.102.17B.100.00C.100.24 A is correct.The bonprithe first coupon payment te:N=5，I/Y=2.5，PMT=3，FV=100 → PV= -102.32 The number of ys between 5 April 2013 (first coupon payment te) antoy (5 June 2013) is 60 ys baseon the 30/360 y count convention.Full pritoy:102.32×（1+2.5%）60/180=103.17AccrueInterest =100 × 3% × (60/180)=1Flpritoy:Flprice= Full price- AccrueInterest=103.17-1=102.17考点flpri full price解析flpri= full pri- accrueinterest = 103.17 - 1 = 102.17，故A正确。 n＝5时算的应该是2013.10.5日的折现价格吧，但是题目给的是2013.6.5开始的，我感觉应该折现到2016.4.5，这样N＝6，再根据具体日子数算出2013.6.5的价格，这样理解有什么问题吗

2023-07-05 14:48 1 · 回答

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2023-02-18 06:43 1 · 回答

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2022-10-19 23:09 1 · 回答

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