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佩奇_ · 2021年02月18日

问一道题:NO.PZ2020033001000073 [ FRM II ]

问题如下:

Which of the following statements is an advantage of the CIR model?

选项:

A.

During periods of high inflation, basis-point volatility decreases.

B.

Interest rates are always non-negative.

C.

Out-of-the money option prices may differ with the use of normal or lognormal distributions.

D.

Long-run interest rates may not hover around a mean-reverting level.

解释:

B is correct.

考点:CIR model

解析:

A. Basis-point volatility increases during periods of high inflation.

C. It is a disadvantage of CIR model.

D. CIR model is a mean-reverting model.

为什么cir模型中利率不会为负呢?dr公式中前半部分是均值回归可能产生负利率
1 个答案
已采纳答案

品职答疑小助手雍 · 2021年02月19日

嗨,从没放弃的小努力你好:


我们细分一下,当短期利率降到0(或者接近0)的时候,根据CIR的公式你会发现:

均值复归项会是一个正值,而后面的波动项是要乘以根号r的,根号r等于0或者接近0,所以下一个阶段利率必定上升。

所以整个公式细分下来不会降到0以下。


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