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· 2022年03月23日

不是说15years吗,请问为什么要用12年呢?

NO.PZ2019052801000107

问题如下:

If the conditional prepayment rate (CPR) for a pool of mortgages is assumed to be 5% on an annual basis and the weighted average maturity of the underlying mortgages is 15 years, which of the following amounts is closest to the .constant maturity mortality?

选项:

A.

0.333%.

B.

0.405%.

C.

0.427%.

D.

0.5%.

解释:

C is correct.

The constant maturity mortality (or single monthly mortality rate) is a monthly measure. Its

relationship to CPR is as follows:(1-SMM)12 =1-CPR

SMM=1 (1CPR) 1/ 12 =1 (10.05) 1/ 12 =1 0.95 1/ 12 =0.43%

请问我是那里理解错误了,为什么次方是12次而不是题目中说的15 underlying years?

感谢解答!

1 个答案

品职答疑小助手雍 · 2022年03月23日

同学你好,题目给的条件是conditional prepayment rate (CPR)也就是年化提前还款率是5%,问月度的是多少,一年有12个月。

这题和15其实没啥关系,干扰因素。