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一只🐶哆啦 · 2024年11月04日

这个题是不是出的不好呀

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.

没有精确的给4月x/10月x日付利息,导致算那个AI=1的时候比较抽象,想了半天,考试的时候是不是会给精确的能在计算器用日期公式算天数的呀


1 个答案
已采纳答案

李坏_品职助教 · 2024年11月05日

嗨,爱思考的PZer你好:


对 这个题目不够严谨。考试中会给出具体的天数或者月份,不会这么模糊。

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