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Evelynislost · 2023年10月05日

最后一句重新forward rate 校准重新调整问题

NO.PZ2023040701000042

问题如下:

Annisquam tells Hake that he needs to calibrate the binomial interest rate tree to match a term structure of interest rates. Hake wants to better understand this process and asks Annisquam to describe it. Annisquam says, “Calibrating an interest rate tree requires an iterative process that ensures that the upper and lower rates are consistent with the volatility assumption, the interest rate model, and the observed market value of the benchmark bond. The cash flows of the bond are discounted using the interest rate tree, and if this doesn’t produce the correct price, another pair of forward rates is selected and the process is repeated.”

Is Annisquam most likely correct in regard to his comments on calibrating a binomial interest rate tree?

选项:

A.

Yes

B.

No, he incorrectly describes the iterative process

C.

No, he is incorrect regarding the interest rate used

解释:

Correct Answer: A

Annisquam is correct with regards to his comments on calibrating a binomial interest rate tree.

最后一句重新forward rate 校准是基于重新调整spot rate 导致反求出 forward rate吗?

校准是否也意味着volatility也一并调整导致spot rate 的变化? 

1 个答案

pzqa31 · 2023年10月06日

嗨,爱思考的PZer你好:


校准二叉树,我们认为基准债券被认为是正确定价的,使用其市场价格来检验一下利率二叉树中利率的准确性。如若不等,就需要调整二叉树上的利率,直至使用二叉树中的利率进行折现,得到的基准债券价格等于其市场价格。这样利率二叉树就得到了校准。只有校准的二叉树,才是一个正确的利率路径,从而才能精确地为含权债券进行定价。考试不会考察二叉树构建的calibration过程,

只需要定性掌握,二叉树需要calibration到可以得到arbitrage free price这个程度即可。

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