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
考点:flat price & full price
解析:flat price = full price - accrued interest = 103.17 - 1 = 102.17,故选项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