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🍑🍑🍑🍑🍑🍑🍑 · 2019年10月30日

问一道题:NO.PZ2016082402000060

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.

上课时讲的不是CTD=FP-CF-SPT么,怎么到题目答案里变成了CTD=price/CF???

按照上课讲的思路,比如bond A的cost of delivery=102.44*0.98=100.39,然后bond B=109.79,bond C=93.66 因为93.66成本最小 所以选Bond C,虽然按照price/CF算也是选C了,但这思路完全不一样啊?

1 个答案

orange品职答疑助手 · 2019年10月30日

同学你好,课上讲的是最大化收益,也就是等价于最小化成本,就是把式子列出来进行计算然后做比较。

而本题的解析,用的是一种近似计算的方法,它的原理是这样的:




因为每个债券的(FP-SP/CF)都很小,这三个债券的(FP-SP/CF)相差最大假设就是1,然后CF的区别是0.0几,那么相差最大最大也就是0.1,但这个很难会影响最后的选择.

建议同学还是掌握李老师课上讲的那种计算方法吧,最大化收益,或者最小化成本,即记一种就好,怎么样也不会错。

🍑🍑🍑🍑🍑🍑🍑 · 2019年10月30日

好吧算了...不太懂你说的- -有点乱

orange品职答疑助手 · 2019年11月01日

嗯,同学你可以就按照李老师上课讲的那种方法来算,不增加记忆负担。本题用的是近似计算的方法。

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