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番薯shushu · 2025年03月19日

时间t是怎么确定的

NO.PZ2023052301000046

问题如下:

Consider a bond that has three years remaining to maturity, a coupon of 4% paid semiannually, and a yield-to-maturity of 4.60%. Assuming it is 12 days into the first coupon period and a 30/360 basis, the bond’s annualized Macaulay duration is closest to:

选项:

A.

1.8764 years.

B.

2.8386 years.

C.

2.8553 years.

解释:

B is correct.


Assuming it is 12 days into the first coupon period 的意思是还有12天进入第一个付息日吗?

macaulay duration是站在什么时点去计算的,如果现在还有12天进入第一个付息日,那用于计算第一笔现金流权重的t应该是12/180,并且PV也是CF/(1+2.3%)^(12/180),为什么答案是168/180?

请老师再帮忙解释下如何理解。谢谢。


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