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Dorapai · 2025年03月02日

A选项感觉没有问题

NO.PZ2022062761000017

问题如下:

A junior risk analyst is modeling the volatility of a certain market variable and is trying to decide between EWMA and GARCH(1,1) models. Which of the following statements about the two models is correct?

选项:

A.

The EWMA model is a special case of the GARCH(1,1) model with the additional assumption that the long-run volatility is zero.

B.

A variance estimated from the GARCH(1,1) model is a weighted average of the prior day’s estimated variance and the prior day’s squared return.

C.

The GARCH(1,1) model assigns a higher weight to the prior day’s estimated variance than the EWMA model.

D.

A variance estimated from the EWMA model is a weighted average of the prior day’s estimated variance and the prior day’s squared return.

解释:

中文解析:

EWMA 方差估计是前一天的方差和前一天的平方收益的加权平均值。

选D

The EWMA estimate of variance is a weighted average of the prior day’s variance and prior day’s squared return.

A is incorrect. EWMA is a particular case of GARCH(1,1) with the weight assigned to the long-run average variance rate as zero and the sum of the weights of the other two parameters equal to 1.

B is incorrect because there is also weight assigned to the long-run average variance rate.

C is incorrect because such a comparison can only be done under specific parameter configurations.

A选项感觉没有问题啊

1 个答案

李坏_品职助教 · 2025年03月02日

嗨,从没放弃的小努力你好:


原话应该是这样的:

当long-run volatility的权重γ = 0,并且α = 1 - β的时候,EWMA模型和GARCH(1,1)一致。


A选项说的是当 long-run volatility is zero.的时候,这个是错误的。


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