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Olivia Chen · 2020年10月20日

问一道题:NO.PZ2016031001000070 [ CFA I ]

问题如下:

Bond G, described in the exhibit below, is sold for settlement on 16 June 2014.

Annual Coupon                                                5%

Coupon Payment Frequency                                    Semiannual

Interest Payment Dates                                         10 April and 10 October

Maturity Date                                                  10 October 2016

Day Count Convention                                          30/360

Annual Yield-to-Maturity                                         4%

The accrued interest per 100 of par value for Bond G on the settlement date of 16 June2014 is closest to:

选项:

A.

0.46.

B.

0.73.

C.

0.92.

解释:

C is correct.

The accrued interest per 100 of par value is closest to 0.92. The accrued interest is determined in the following manner: The accrued interest period is identified as66/180. The number of days between 10 April 2014 and 16 June 2014 is 66 days based on the 30/360 day count convention. (This is 20 days remaining in April + 30 days in May +16 days in June = 66 days total). The number of days between coupon periods is assumed to be 180 days using the 30/360 day convention.

Accrued interest = tT×PMT\text{Accrued interest = }\frac tT\times PMT

where:

t = number of days from the last coupon payment to the settlement date

T = number of days in the coupon period

t/T= fraction of the coupon period that has gone by since the last payment

PMT = coupon payment per period

Accrued interest = 66180×5.002=0.92\text{Accrued interest = }\frac{66}{180}\times\frac{5.00}2\text{=}0.92

老师这个公式在哪个知识点,麻烦讲解一下,谢谢!
1 个答案

吴昊_品职助教 · 2020年10月21日

同学你好:

考点是accrued interest,accrued interest=coupon×t/T=(5/2)×(66/180)=0.92,由于现在是半年付息,所以一期的coupon是2.5,t=66,代表的是trading day和上一个付息日之间的天数,4月10号到6月16号之间是66天,T代表的就是两个付息日之间的天数,由于我们现在是30/360,所以半年就是180天。将上述数据代入accrued interest的公式即可。

吴昊_品职助教 · 2020年10月21日

补充一下,上图来自于基础班讲义P148页。

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