问题如下:
The following statements were made in the course of the debate regarding the conditions underlying binomial interest rate trees:
Statement 1: The only requirements needed to create a binomial interest rate tree are current benchmark interest rates and an assumption about interest rate volatility.
Statement 2: Potential interest rate volatility in a binomial interest rate tree can be estimated using historical interest rate volatility or observed market prices from interest rate derivatives.
Statement 3: A bond value derived from a binomial interest rate tree with a relatively high volatility assumption will be different from the value calculated by discounting the bond’s cash flows using current spot rates.
Which of the various statements regarding binomial interest rate trees is correct?
选项:
A. Statement 1
B. Statement 2
C. Statement 3
解释:
B is correct.
考点:对二叉树模型的理解
解析:通常使用两种方法来估计利率二叉树中的利率波动率。
第一种方法基于历史利率波动率的估计。
第二种方法使用观察到的利率衍生品的市场价格。
Statement 1不正确,因为创建利率二叉树有三个要求,而不是两个。第三个要求是关于利率模型的假设。
Statement 3不正确,因为无论模型中使用的波动率假设如何,使用即期利率的债券估值和利率二叉树中债券估值都是相同的。
已看完此题其他问答,对statement 3还是不太理解。这里说binomial tree算出来的估值与用spot rate算出来的一样,有一个前提是calibrate好的二叉树吧? 如果还没有calibrate完成的二叉树也是arbitrage free的吗?…