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yanan · 2024年10月29日

pool factor

NO.PZ2024042601000137

问题如下:

A financial analyst is calculating the weighted average life (WAL) of the loans in an MBS pool. The initial notional value outstanding of the MBS pool is USD 50 million. The payment schedule and the assumed pool factor for the MBS are provided in the table below:

Assuming coupon payments are made semi-annually and there are 365 days in a year, what is the WAL of the MBS pool?

选项:

A.1.06 years. B.1.24 years. C.

2.12 years.

D.2.68 years.

解释:

B is correct. WAL is computed by: Poor Factor

Where:

t = (Actual Days) / 365

s = Coupon payment date

Pool Factor at date s is given. Therefore, WAL is computed as presented in the table below.

A is incorrect. 1.06 years is the result obtained if the pool factor of time 0 is ignored.

C is incorrect. 2.12 years the sum of the pool factor for every payment date after time 0.

D is incorrect. 2.68 years is the sum of (actual days)/365.

这个概念是讲义里面什么地方出现的呢

为啥WAL是pool factor乘以actual day/360然后加总

1 个答案

pzqa27 · 2024年10月30日

嗨,努力学习的PZer你好:


这个关于WAL的计算并没有在讲义里出现,这个题算是对讲义的一个补充。

WAL是贷款的一个平均期限,它也可以认为是本金的一个平均存续期。

这里的pool factor指的是剩余的本金占总本金的要给比例,比如0.76 代表50m的本金里有12m的本金归还了,所以剩下38m, 那么38m/50=76%,意味着76%的本金存续了181天。其他的pool factor依次类推。

既然WAL是本金的一个平均存续期。那就把存续期按本金的比例加权平均即可,所以pool factor*t加总就是WAL。

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努力的时光都是限量版,加油!

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