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Erwin · 2021年07月22日

为什么不能用上面一个数据除以e的2倍西格玛次方?

NO.PZ2018123101000049

问题如下:

Exhibit 3 presents most of the data of a binomial lognormal interest rate tree. Exhibit 4 presents most of the data of the implied values for a four-year, option-free, annual pay bond with a 2.5% coupon based on the information in Exhibit 3.

Based on the information in Exhibits 3 and 4, the bond price in euros at Node 1–2 in Exhibit 4 is to:

选项:

A.

102.7917

B.

104.8640

C.

105.2917

解释:

A is correct.

考点:考察利用利率二叉树定价

解析: 想要得到节点1-2的债券价值,用到的数据有:该节点右边的数据,即节点2-2,节点2-3的债券价值和Coupon,以及第一年末至第二年的Forward rate。通过对未来债券价值的折现求得该节点1-2的债券价值:

value = {2.5+(0.5×101.5816+0.5×102.1350)} / 1.014925 = 102.7917

为什么不能用上面一个数据除以e的2倍西格玛次方?

1 个答案

WallE_品职答疑助手 · 2021年07月24日

嗨,从没放弃的小努力你好:


同一个时间点的利率呈现e^2sigma的关系,比如1.4925%*e^2*10%=1.8229%。

但求价值是从后面一个时间点往前面折现。所以没有这一层关系。同学您应该是弄混了

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hyi725 · 2021年08月15日

请问计算器怎么按1.4925%*e^2*10%=1.8229%。?

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NO.PZ2018123101000049 问题如下 Exhibit 3 presents most of the ta of a binomilognorminterest rate tree. Exhibit 4 presents most of the ta of the implievalues for a four-year, option-free, annupbonwith a 2.5% coupon baseon the information in Exhibit 3.Baseon the information in Exhibits 3 an4, the bonpriin euros No 1–2 in Exhibit 4 is to: A.102.7917 B.104.8640 C.105.2917 A is correct.考点考察利用利率二叉树定价解析: 想要得到节点1-2的债券价值,用到的数据有该节点右边的数据,即节点2-2,节点2-3的债券价值和Coupon,以及第一年末至第二年的Forwarrate。通过对未来债券价值的折现求得该节点1-2的债券价值value = {2.5+(0.5×101.5168+0.5×102.1350)} / 1.014925 = 102.7917 为什么只加了一个2.5?

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