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zjcjrd · 2020年02月27日

问一道题:NO.PZ2016070201000072 [ FRM II ]

问题如下:

Which of the following choices correctly characterizes basis-point volatility and yield volatility as a function of time within the lognormal model?

选项:

Basis-point volatility     
Yield volatility

A.

increases    
constant

B.

increases    
decreases

C.

decreases    
constant

D.

decreases    
decreases

解释:

Choices B and D can be eliminated because yield volatility is constant. Basis-point volatility under the CIR model increases at a decreasing rate, whereas basis-point volatility under the lognormal model increases linearly. Therefore, basis-point volatility is an increasing function for both models.

我觉得这个题目应该联想到的模型是model3,basis 算是一个时间点的,简单理解为短期的,根据model3,t小波动率大,yield就是t大波动率变小。实在看不出来可以联想到cir model,题干中没有关于r的提示
1 个答案

orange品职答疑助手 · 2020年02月28日

同学你好,lognormal model的basis-point volatility等于σr,里面有r呀。

本题主要考察的是lognormal model中的Basis-point volatility 和 Yield volatility,答案之所以扯到CIR model,主要是因为basis-point volatility:CIR模型的basis-point volatility也是增加,但它增加的速度越来越慢;Lognormal Model的basis-point volatility线性增加的。所以notes联想到了CIR model