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兔小兔 · 2020年03月12日

问一道题:NO.PZ2018123101000089

问题如下:

Exhibit 1 shows the information about selected fixed-rate bonds of Alpha Corporation

Note: All bonds in exhibit above have remaining maturities of exactly three years

Exhibit 2 presents the interest rate tree.

Based on Exhibit 1 and Exhibit 2, the market price of Bond 4 is closest to:

选项:

A.

100.4578.

B.

100.5123.

C.

100.8790.

解释:

A is correct.

考点:考察对含权债券的估值

解析:

对于含权债券,需要将最后一笔现金流逐渐向前一个节点折现,然后需要对比每一个节点能否实现该折现值,对于Callable bond,因为embedded call option的存在,高于行权价的折现值将取不到,折现值高于行权价的节点,其债券价值调整为行权价;如下图:在第二年中间节点与下面节点,现金流的折现值分别为100.2237与101.5642,但该值大于行权价,债券会被提前赎回,因此将该节点的债券价格调整到行权价100。

t=1的下限价格不是应该是101.55/1.01943=99.6145 为什么会超过100?哪里计算错误 ,因为t=2的价格我都可以算对 ,没想明白。

1 个答案
已采纳答案

WallE_品职答疑助手 · 2020年03月12日

同学你好,

你计算错了,是101.55/1.011943=100.3515

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