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梦梦 · 2025年03月25日

1是错在哪里了呢

NO.PZ2018122701000068

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。

老师,1错误是因为model1 是平行移动?为什么是平行移动?不是有波动率存在吗?波动率又不是一个常数

1 个答案

李坏_品职助教 · 2025年03月25日

嗨,爱思考的PZer你好:


Model 1 assume parallel shifts from changes in the short-term rate这个结论出自原版书:


σ在model 1 里面是常数,Model 1 的波动率一经确定以后就不会随着时间变化,Model 3里面波动率才会有变化。

至于为什么model 1是平行移动的性质,可以参考原版书第14章的书后附录。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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