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fdzh · 2023年11月02日

请问这题的解析?

NO.PZ2023091601000080

问题如下:

In the EWMA model, the half-life is defined as the time, T, at which λT = 1/2, where λ is the decay factor of the EWMA model. A risk analyst is using a specific EWMA model to calculate volatility and determines that the half-life of the model is 23 days. Based on the above information, which weight will be applied to the return that is five days old?

选项:

A.

0.026

B.

0.031

C.

0.781

D.

0.859

解释:

如题

1 个答案

李坏_品职助教 · 2023年11月02日

嗨,从没放弃的小努力你好:


根据题目的信息,half-life指的是T,使得λ^T = 1/2。题目告诉我们T=23,那么λ = (1/2)^(1/23) = 0.9703.

题目问我们5天之前的收益率的权重是多少?


α = (1-λ)*λ^(5-1) = 0.026

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