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❤Oliva · 2023年11月29日

random walks 和covariance stationary的关系?

* 问题详情,请 查看题干

NO.PZ202208300200000202

问题如下:

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:

A is correct. 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.

B is incorrect because random walks are not covariance stationary, so AR(1) models are not appropriate.

C is incorrect because random walks have undefined mean-reverting levels. A mean-reverting process would allow for improved forecasts by incorporating the average value.

random walks 一定不是covariance stationary吗? 这题哪里可以看出开not covariance stationary?

1 个答案
已采纳答案

品职助教_七七 · 2023年11月30日

嗨,爱思考的PZer你好:


1)random walk一定不是covariance stationary。

2)题干中说Kamini认为这个series是random walk,也就等同于认为这个series不满足covariance stationary。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!