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皓月 · 2023年02月17日

计算过程我都没问题

* 问题详情,请 查看题干

NO.PZ201712110200000304

问题如下:

Based on the information in Exhibit 1 and Exhibit 2, the value of the embedded option in Bond 4 is closest to:

选项:

A.

nil.

B.

0.1906.

C.

0.8789.

解释:

C is correct.

Bond 4 is a callable bond. Value of an issuer call option = Value of straight bond – Value of callable bond. The value of the straight bond may be calculated using the spot rates or the one-year forward rates.

Value of an option-free (straight) bond with a 1.55% coupon using spot rates:

1.55/(1.0100)1 + 1.55/(1.012012)2 + 101.55/(1.012515)3 = 100.8789.

The value of a callable bond (at par) with no call protection period cannot exceed 100, as at that price or higher the bond would be called. The value of the call option = 100.8789 – 100 = 0.8789.

但是我的疑惑是每次折现用什么数据,答案这里是spot rate进行折现,我却用了额one-year forward进行折现,

就是每次不知道用哪个数字合理?

1 个答案
已采纳答案

吴昊_品职助教 · 2023年02月17日

嗨,爱思考的PZer你好:


spot rate和forward rate本身就可以互相推导的,用spot rate可以,用forward rate折现也可以。并且两者得出来的结果应该一致。

我个人建议用spot rate折现,按计算器能简单点,因为分母中的折现率只要×几次方就可以了,不需要连成不同的forward rate。

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