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JillTian · 2024年10月04日

First Differencing

NO.PZ2023040502000039

问题如下:

Kamini replies, “I’m convinced the P/E series based on trailing earnings truly is a random walk.”If Kamini is correct regarding the trailing P/E time series, the best forecast of next period's trailing P/E is most likely to be the:

选项:

A.

current period's trailing P/E

B.

forecast derived from applying the AR(1) model depicted in Exhibit 1 to the data

C.

average P/E of the time series

解释:

If a time series is a random walk, the best forecast of xt that can be made in period t – 1 is xt-1. So, the best forecast of the next period's trailing P/E is the current period's trailing P/E

基础班讲义166页写了,if a time series appears to have a unit root, one method is to first-difference the time sereis and try to model the first-differenced series as an autoregressive time series. 所以B选项说AR(1)为什么不对?

1 个答案

品职助教_七七 · 2024年10月04日

嗨,努力学习的PZer你好:


提问和B选项没有直接关联。B选项是直接去做AR(1),不是先一阶差分后再去做AR(1)。

而在unit root的背景下,直接做AR(1)是做不了的。

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