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。