NO.PZ2020021204000034
问题如下:
A bond that can be delivered in the December 2018 ten-year Treasury note futures contract is a bond with maturity on April 15, 2026, that pays a coupon of 4% per annum.When the yield is 6% per annum(with semi-annual compounding) , calculate the conversion factor for the bond.
选项:
解释:
The bond's time to maturity on the first day of the delivery months is seven years (December 2018 to December 2025) and 4.5 months (January 2026 to mid-April 2026).This is rounded to seven years and three months. The dirty price of a seven year and three-month bond immediately before the coupon payable in three months is
when the yield is 6%. The dirty price of the bond three months earlier is
Subtracting the accrued interest of 1, we get a clean price of 88.3732 and the conversion factor is 0.8837.
看了老师对于其他问题的解答,仍然有三个方面不明白:
- 请问为什么要将4.5个月就近折成3个月呢?直接4.5/6 按照比例进行复利不就可以了吗
- 请问首项为什么是2除以(1.03)^2呢,如果是三个月,不应该是1/2而不是2吗?
- 请问为什么第二项的分子时100而不是102呢?这个后面就不需要计算coupon了吗?
问题有点多,主要是仍然不明白这个解题思路,烦请老师进行解惑,多谢耐心~~