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梦梦 · 2025年03月25日

能翻译并解释一下D吗?

NO.PZ2025031702000021

问题如下:

Which of the following statements is true regarding the Vasicek Model and the Gauss+ Model?

选项:

A.

The Vasicek Model assumes that the short-term interest rate reverts to the mean of the medium-term factor.

B.

The Gauss+ Model is a single-factor model.

C.

The Vasicek Model can better fit various market interest rate term structures.

D.

The Gauss+ Model can match the hump-shaped volatility term structure in reality.

解释:

A is incorrect. The Vasicek Model assumes that the short-term interest rate reverts to a long-term mean, not the medium-term factor.

B is incorrect. The Gauss+ Model is a three-factor model, not a single-factor model.

C is incorrect. The Vasicek Model has limited explanatory power for the variability of the term structure, while the Gauss+ Model can better fit various market interest rate term structures.

D is correct. The Gauss+ Model can match the hump-shaped volatility term structure by setting the short-term interest rate equation without a random volatility term.

老师好,D是什么意思?

1 个答案

李坏_品职助教 · 2025年03月26日

嗨,从没放弃的小努力你好:


D: Gauss+可以匹配现实中驼峰状的波动率期限结构。所谓驼峰状就是类似于骆驼的驼峰,波动率是中期波动率高于短期和长期波动率。现有的模型在波动率方面要么是假设波动率不变,要么是假设波动率单调增减,无法匹配驼峰形状。Gauss+属于多因子模型,能够匹配此类复杂的波动结构。

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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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