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杨甜甜 · 2020年09月22日

问一道题:NO.PZ201712110200000304

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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.

0.3343.

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 lockout period and a 1.55% coupon rate is 100.5446, the value of the call option = 100.8789 – 100.5446 = 0.3343.

老师您好,请问1.这道题为啥用forward rate?2.一般不会在发行的第一年行权,既然value都大于100了,为什么不用100.1952呢?逻辑是什么呢?谢谢

1 个答案

WallE_品职答疑助手 · 2020年09月23日

同学你好,

二叉树折现求价格,都是用forward rate一期一期的往前折现.

行不行权要重后往前看,每一期进行判断的,

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