13: Time-Series Analysis-LOS e习题精选 interest, center, 2010, class, period

土豆妮

Session 3: Quantitative Methods: Quantitative
Methods for Valuation
Reading 13: Time-Series Analysis

LOS e: Explain mean reversion and calculate a mean-reverting level.

 

 

 

David Brice, CFA, has used an AR(1) model to forecast the next period’s interest rate to be 0.08. The AR(1) has a positive slope coefficient. If the interest rate is a mean reverting process with an unconditional mean, a.k.a., mean reverting level, equal to 0.09, then which of the following could be his forecast for two periods ahead?

A) 0.113.

B) 0.072.

C) 0.081.

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土豆妮

Which of the following statements regarding a mean reverting time series is FALSE?

A) If the current value of the time series is above the mean reverting level, the prediction is that the time series will decrease.

B) If the current value of the time series is above the mean reverting level, the prediction is that the time series will increase.

C) If the time-series variable is x, then xt = b0 + b1 xt.

土豆妮

Which of the following statements regarding a mean reverting time series is FALSE?

A) If the current value of the time series is above the mean reverting level, the prediction is that the time series will decrease.

B) If the current value of the time series is above the mean reverting level, the prediction is that the time series will increase.

C) If the time-series variable is x, then xt = b0 + b1 xt.

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If the current value of the time series is above the mean reverting level, the prediction is that the time series will decrease; if the current value of the time series is below the mean reverting level, the prediction is that the time series will increase.

土豆妮

Suppose that the time series designated as Y is mean reverting. If Y_t+1 = 0.2 + 0.6 Y_t, the best prediction of Y_t+1 is:

A) 0.3.

B) 0.5.

C) 0.8.

土豆妮

Suppose that the time series designated as Y is mean reverting. If Y_t+1 = 0.2 + 0.6 Y_t, the best prediction of Y_t+1 is:

A) 0.3.

B) 0.5.

C) 0.8.

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The prediction is Y_t+1 = b₀ / (1-b₁) = 0.2 / (1-0.6) = 0.5

土豆妮

David Brice, CFA, has used an AR(1) model to forecast the next period’s interest rate to be 0.08. The AR(1) has a positive slope coefficient. If the interest rate is a mean reverting process with an unconditional mean, a.k.a., mean reverting level, equal to 0.09, then which of the following could be his forecast for two periods ahead?

A) 0.113.

B) 0.072.

C) 0.081.

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As Brice makes more distant forecasts, each forecast will be closer to the unconditional mean. So, the two period forecast would be between 0.08 and 0.09, and 0.081 is the only possible answer.