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航 · 2020年08月01日

问一道题:NO.PZ2016082402000060 [ FRM I ]

问题如下:

The yield curve is upward sloping. You have a short T-bond futures position. The following bonds are eligible for delivery:

The futures price is 103-17/32 and the maturity date of the contract is September 1. The bonds pay their coupon semiannually on June 30 and December 31. The cheapest to deliver bond is:

选项:

A.

Bond A

B.

Bond C

C.

Bond B

D.

Insufficient information

解释:

ANSWER: B

The cost of delivering each bond is the price divided by the conversion factor. This gives, respectively, (102+14/32)/0.98 = 104.53, 103.49, and 103.34. Hence the CTD is bond C. All other information is superfluous.

Or we can use the complete method: cost= Bond price - Future price* conversion factor, and we can find choice B is the answer.

请问这道题如果用定性的方法可以吗 就是T时刻Bond price越低越容易CTD,coupon越低 到期时间长 越容易CTD 也是同样的答案
1 个答案

小刘_品职助教 · 2020年08月02日

同学你好,

在这种题目的时候建议还是有时间计算还是计算为主,你说的定性的结论目前来说有两条经验法则:

经验法则一:当国债到期收益率大于标准券票面利率3%时,久期越大,越有可能成为CTD券;且当收益率曲线越陡时,越是长久期国债,越有可能成为CTD券。

经验法则二:当国债到期收益率小于标准券票面利率3%时,久期越小,越有可能成为CTD券;且当收益率曲线越平时,久期越小,越有可能成为CTD券。

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