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Nicole Xiang · 2025年01月03日

你好

NO.PZ2023120801000055

问题如下:

DMT Corp. issued a five-year floating-rate note (FRN) that pays a quarterly coupon of three-month MRR plus 125 bps. The FRN is priced at 96 per 100 of par value. Assuming a 30/360 day-count convention, evenly spaced periods, and constant three-month MRR of 5%, the discount margin for the FRN is closest to:

选项:

A.

221 bps

B.

400 bps

C.

180 bps

解释:

Correct Answer: A

The interest payment each period per 100 of par value is:


The discount margin can be estimated by solving for DM in the equation:


The Correct Answer for the discount rate, r = (0.05+DM)/4 is 1.8025%. Therefore DM = 2.21%, or 221 bps.

你好,我解出来的答案有出入,请老师给看看哪里出问题了呢?

1, 算出pmt: (5%+125bps )/4*100=1.5625

2,用pv=-96,fv=100,pmt=1.5625,n=4 求出I/Y=2.62908

3, discount rate- mrr= discounted margin 2.62908*2-5=0.258159

1 个答案

笛子_品职助教 · 2025年01月03日

嗨,爱思考的PZer你好:


Hello,亲爱的同学~

错在N=4。

N是付息的期数。结合本题,一共付息5年时间,每年付息4次,因此付息期数 =5*4=20期。

N应等于20

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