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James · 2024年02月14日

discount margin?

NO.PZ2023052301000032

问题如下:

A two-year Italian floating-rate note pays three-month Euribor of –0.50% plus 250 bp. The floater is priced at 99 per 100 of par value. Assuming the 30/360 day-count convention and evenly spaced periods, the discount margin for the floater is closest to:

选项:

A.

201 bps

B.

251 bps

C.

300 bps

解释:

The discount margin for the floater is closest to 300 bps. Using the information provided, the periodic PMT is equal to

Using PV = –99, FV = 100, PMT = 0.5, and N = 8, we solve for the discount rate per period of 0.628562%. The discount margin can be estimated by solving for DM:


这个概念在哪里有呀?

1 个答案

吴昊_品职助教 · 2024年02月15日

嗨,从没放弃的小努力你好:


这个概念出现在浮动利率债券这里。

discount margin,也叫做required margin,是构成分母折现率的一部分,加在reference rate的基础上。

相对应的概念是quoted margin,是构成分子coupon rate的一部分,同样也是加在reference rate的基础上。

回到这道题,现在要我们计算的是DM,也就是先要算出分母折现率,然后再反求出DM。

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