Suppose the following model describes changes in Company ABC’s sales: ∆ ABCt = 0.078 - 0.095(∆ ABCt-1) The current change (first difference) in the company’s sales growth rate is 0.04. Use this information to answer the questions below. (NB: For all the questions below, give your final answers to 3 decimal places.)

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Suppose the following model describes changes in Company ABC’s sales:
∆ ABCt = 0.078 - 0.095(∆ ABCt-1)
The current change (first difference) in the company’s sales growth rate is 0.04.
Use this information to answer the questions below. (NB: For all the questions below, give your final answers to 3 decimal places.)


Question 1
Calculate the mean-reverting level for changes in the company’s sales growth rate. (Give your answer in decimals).


Question 2
What is the best prediction of the next change? (Give your answer in decimals)


Question 3
What is the prediction of the change following the next change? (Give your answer in decimals)

Question 4
suppose we want to compute the four-quarter moving average of Company ABC’s sales as of the beginning of the first quarter of 2022. ABCs sales in the previous four quarters were as follows: 1Q 2021, R 1,200,000; 2Q 2021, R 800,000; 3Q 2021, R 750,000; and 4Q 2021, R 1,600,000. Calculate the four-quarter moving average of sales as of the beginning of the first quarter of 2022.

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Follow-up Question

How did you get 0,158 in question 1? Please show me your calculation.

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