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^(* ̄(oo) ̄)^进击ing🍬🍬 · 2021年02月11日

此题能看出该长期国债期货合约的签订即CF确定的日期吗,不然为什么要折现到18年底,求18年底的clean?

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

i=01421.03i+1001.0314=90.7039\sum_{i=0}^{14}\frac2{1.03^i}+\frac{100}{1.03^{14}}=90.7039

when the yield is 6%. The dirty price of the bond three months earlier is

90.70391.03=89.3732\frac{90.7039}{\sqrt{1.03}}=89.3732

Subtracting the accrued interest of 1, we get a clean price of 88.3732 and the conversion factor is 0.8837.

此题能看出该长期国债期货合约的签订即CF确定的日期吗,不然为什么要折现到18年底,求18年底的clean?

1 个答案

品职答疑小助手雍 · 2021年02月18日

嗨,爱思考的PZer你好:


这题算是近似的计算,这个债券要在2018年12月交割,因为这个债券是2026年4月15号到期的,所以交割时这个债券还剩余大约为7年零3个月,大致时间上是估算了一下的。


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NO.PZ2020021204000034问题如下 A bonthcliverein the cember 2018 ten-yeTreasury note futures contrais a bonwith maturity on April 15, 2026, thpays a coupon of 4% per annum.When the yielis 6% per annum(with semi-annucompounng) , calculate the conversion factor for the bon The bons time to maturity on the first y of the livery months is seven years (cember 2018 to cember 2025) an4.5 months (January 2026 to miApril 2026).This is rounto seven years anthree months. The rty priof a seven yeanthree-month bonimmeately before the coupon payable in three months is ∑i=01421.03i+1001.0314=90.7039\sum_{i=0}^{14}\frac2{1.03^i}+\frac{100}{1.03^{14}}=90.7039∑i=014​1.03i2​+1.0314100​=90.7039when the yielis 6%. The rty priof the bonthree months earlier is90.70391.03=89.3732\frac{90.7039}{\sqrt{1.03}}=89.37321.03​90.7039​=89.3732Subtracting the accrueinterest of 1, we get a clepriof 88.3732 anthe conversion factor is 0.8837.1、这里写的coupon是每年,但是和半年复利矛盾啊?看解题的答案也是半年一次coupon和复利频次一样,老师,coupon的现金流频次是要和复利频次一样的吧?2、题目哪里能看出是每年10月,4月支付coupon?3、应计利息是1,是怎么得出来的?

2024-06-12 21:57 5 · 回答

NO.PZ2020021204000034问题如下 A bonthcliverein the cember 2018 ten-yeTreasury note futures contrais a bonwith maturity on April 15, 2026, thpays a coupon of 4% per annum.When the yielis 6% per annum(with semi-annucompounng) , calculate the conversion factor for the bon The bons time to maturity on the first y of the livery months is seven years (cember 2018 to cember 2025) an4.5 months (January 2026 to miApril 2026).This is rounto seven years anthree months. The rty priof a seven yeanthree-month bonimmeately before the coupon payable in three months is ∑i=01421.03i+1001.0314=90.7039\sum_{i=0}^{14}\frac2{1.03^i}+\frac{100}{1.03^{14}}=90.7039∑i=014​1.03i2​+1.0314100​=90.7039when the yielis 6%. The rty priof the bonthree months earlier is90.70391.03=89.3732\frac{90.7039}{\sqrt{1.03}}=89.37321.03​90.7039​=89.3732Subtracting the accrueinterest of 1, we get a clepriof 88.3732 anthe conversion factor is 0.8837.烦请具体写下该类题怎么解答,多谢。

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