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梦梦 · 2024年11月11日

A错在哪里

NO.PZ2023091701000105

问题如下:

A junior risk analyst is modeling the volatility of a certain market variable. The analyst considers using either the EWMA or the GARCH (1,1) model. Which of the following statements is correct?

选项:

A.The EWMA model is a special case of the GARCH (1,1) model with the additional assumption that the longrun 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:

D is correct. The EWMA estimate of variance is a weighted average of the variance rate estimated for the prior day and the prior day’s observed 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之所以错,是因为说的是VL是0,但实际应该是gamma是0?就是VL的rate?

1 个答案
已采纳答案

李坏_品职助教 · 2024年11月11日

嗨,努力学习的PZer你好:


是的。当γ = 0的时候,EWMA是GARCH(1,1)的特例。并不是VL为0,所以A错误。

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努力的时光都是限量版,加油!

梦梦 · 2024年11月11日

好,谢谢