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飞不动的小仙女 · 2022年06月25日

不可以按照一年的利率将04.05的PV折算到06.05么

NO.PZ2018062006000069

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 par value is 100. 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 full price of this bond on 5 June 2013

选项:

A.

100.00

B.

103.17

C.

100.39

解释:

B is correct.

The bond price at the first coupon payment date ( 5 April 2013) is:

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

The number of days between 5 April 2013 and today (5 June 2013) is 60 days based on the 30/360 day count convention. Thus, the full price of the bond is:

102.32 ×(1+2.5%)60/180=103.17

考点:flat price & full price

解析:首先,我们将未来五笔现金流折现到2013.4.5,得到现值之和为102.32。N=5,PMT=3,I/Y=2.5,FV=100,求得PV=102.32

然后再将这个数值复利到2013.6.5,得到full price为103.17,故选项B正确。

如题,其余一致,最后一步可以是 102.32 * (1+5%)60/360 么

1 个答案

吴昊_品职助教 · 2022年06月27日

嗨,努力学习的PZer你好:


不可以哦,因为本题债券是semi-annual,半年付息一次的,所以所有的利率和期限都是需要去年化的。所以只能用2.5%的利率复利。

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

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NO.PZ2018062006000069 问题如下 Toy is 5 June 2013. A three-yesemi-annubonwith a coupon rate of 6% just paiits first coupon payment. The pvalue is 100. The interest payment tes are 5 April an5 October. The yielto-maturity equals to 5%. If y count convention is 30/360, calculate the full priof this bonon 5 June 2013 A.100.00 B.103.17 C.100.39 B is correct.The bonprithe first coupon payment te ( 5 April 2013) is:N=5,I/Y=2.5,PMT=3,FV=100 → PV= -102.32The number of ys between 5 April 2013 antoy (5 June 2013) is 60 ys baseon the 30/360 y count convention. Thus, the full priof the bonis:102.32 ×(1+2.5%)60/180=103.17考点flpri full price解析首先,我们将未来五笔现金流折现到2013.4.5,得到现值之和为102.32。N=5,PMT=3,I/Y=2.5,FV=100,求得PV=102.32然后再将这个数值复利到2013.6.5,得到full price为103.17,故B正确。 本债券是一年付息两次的三年期的债券,总共有六笔现金流。现在的时间点是2013.6.5,题干告知在两个月前已经有了第一笔coupon,发生在2013.4.5。因此可以得知,三年期的债券的期限为2012.10.5-2015.10.5.现在是2013.6.5,未来还有五笔现金流,分别是2013.10.5;2014.4.5;2014.10.5;2015.4.5以及2015.10.5。以上理解正确吗?

2023-06-13 15:02 1 · 回答

NO.PZ2018062006000069 问题如下 Toy is 5 June 2013. A three-yesemi-annubonwith a coupon rate of 6% just paiits first coupon payment. The pvalue is 100. The interest payment tes are 5 April an5 October. The yielto-maturity equals to 5%. If y count convention is 30/360, calculate the full priof this bonon 5 June 2013 A.100.00 B.103.17 C.100.39 B is correct.The bonprithe first coupon payment te ( 5 April 2013) is:N=5,I/Y=2.5,PMT=3,FV=100 → PV= -102.32The number of ys between 5 April 2013 antoy (5 June 2013) is 60 ys baseon the 30/360 y count convention. Thus, the full priof the bonis:102.32 ×(1+2.5%)60/180=103.17考点flpri full price解析首先,我们将未来五笔现金流折现到2013.4.5,得到现值之和为102.32。N=5,PMT=3,I/Y=2.5,FV=100,求得PV=102.32然后再将这个数值复利到2013.6.5,得到full price为103.17,故B正确。 为啥不是N=6,分别是2013.10.5;2014.4.5;2014.10.5;2015.4.5,2015.10.5和5 April 2016。N是6吧?

2022-11-04 10:56 1 · 回答

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2022-07-17 00:32 1 · 回答

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2022-03-11 22:59 1 · 回答