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金融民工阿聪 · 2022年01月30日

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NO.PZ2018123101000116

问题如下:

Which of the following statements comparing the Ho–Lee and Kalotay–Williams–Fabozzi (KWF) equilibrium term structure models is correct?

选项:

A.

The Ho–Lee model assumes constant volatility, while the KWF model does not.

B.

The KWF model incorporates the possibility of negative rates, while the Ho–Lee model does not.

C.

The KWF model describes the log of the dynamics of the short rate, while the Ho–Lee model does not.

解释:

C is correct. The Kalotay–Williams–Fabozzi equilibrium term structure model is similar to the Ho–Lee model in that it assumes constant drift, no mean reversion, and constant volatility, but the KWF model describes the log of the dynamics of the short rate, while the Ho–Lee model does not.

答案说“The Kalotay–Williams–Fabozzi equilibrium term structure model is similar to the Ho–Lee model in that it assumes constant drift, no mean reversion” 说"it assumes constant drift" , 这是为什么?不是volatility才是constant,然后drift term是time dependent么

1 个答案

pzqa015 · 2022年02月02日

嗨,爱思考的PZer你好:




constant drift是指趋势项的系数是一个常数,constant volatility是指随机扰动项的系数也是个常数。

根据KWF模型的公式:

θ与σ都是常数,所以,可以说KWF模型是constant drift,constant volatility。


趋势项与随机扰动项的系数不是constant的模型是CIR model,公式:

这个模型的趋势项和随机扰动项都取决于rt的大小,所以不再constant。


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