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爱格子 · 2021年02月08日

问一道题:NO.PZ2018122701000068 [ FRM II ]

问题如下:

Jack Ma, FRM, is studying difference model, including mean-reverting models, no-drift models, models that incorporate drift, and Ho-Lee models. Ma makes the following statements about the appropriate usage of these models:

Statement 1: Both Model 1 (no drift) and the Vasicek model assume non-parallel shifts from changes in the short-term rate.

Statement 2: The Vasicek model implies decreasing volatility in short-term rates while Model 1 assumes constant volatility of future short-term rates.

Statement 3: The Model 2 (constant drift model) is a more flexible model than the Ho-Lee model.

How many of the statements is/are incorrect?

选项:

A.

0

B.

1

C.

2

D.

3

解释:

C is correct.

考点:Term structure models

解析:要求选错误的陈述有几个。

Statement 1不正确. Model 1 assume parallel shifts from changes in the short-term rate.

Statement 2 正确.

Statement 3不正确.The Ho-Lee model is actually more general than Model 2, as no drift and constant drift models are special cases of the Ho-Lee model.

因此,有2个陈述错了,答案选C。

请问为何statement2 中说v model 短期利率的波动性下降是对的?time dependent vol应该是model 3解释的吧?
2 个答案

小刘_品职助教 · 2021年02月08日

小刘_品职助教 · 2021年02月08日

同学你好,

这里面 V  model描述短期利率波动性下降,主要是因为v-model假设了均值回归,所以利率的短期波动性下降了,这个结论原版书在推导出的时候是实际进行了计算,得出的结论。

这个volatility不是指公式中的σ,而是收益率曲线的standard deviation,有兴趣可以看一下下图。

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