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jay1180 · 2022年11月04日

5 April 2016不付息么?

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。

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?

1 个答案

吴昊_品职助教 · 2022年11月04日

嗨,从没放弃的小努力你好:


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,在两个月前已经有了第一笔coupon,因此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。2015年10月5号债券就到期了,怎么还会牵涉到2016年的事情?

所以N是5,一定要画现金流时间轴。

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

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2023-06-13 15:02 1 · 回答

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2022-07-17 00:32 1 · 回答

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2022-06-25 10:22 1 · 回答

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2022-03-11 22:59 1 · 回答