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eyn · 2025年07月06日

mean-reverting level is undefined

NO.PZ2023040502000042

问题如下:

Which of the conclusions regarding the exchange rate time series is consistent with both the properties of a covariance-stationary time series and the properties of a random walk?

Conclusion 1The variance of xt increases over time.

Conclusion 2The mean-reverting level is undefined.

Conclusion 3b0 does not appear to be significantly different from 0.

选项:

A.

Conclusion 1

B.

Conclusion 2

C.

Conclusion 3

解释:

A simple random walk can be described by the equation xt = b0 + b1xt–1+ εt, where b0 = 0 and b1 = 1. So b0 = 0 is a characteristic of a simple random walk time series.

A covariance-stationary series must satisfy the following three requirements:

1.The expected value of the time series must be constant and finite in all periods.

2. The variance of the time series must be constant and finite in all periods.

3. The covariance of the time series with itself for a fixed number of periods in the past or future must be constant and finite in all periods.

b0 = 0 does not violate any of these three requirements and is thus consistent with the properties of a covariance-stationary time series.

这句话怎么理解?为什么B不对呢

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2024-06-24 19:21 1 · 回答

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