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Consider the Following Single Exponential Smoothing Model: St = α\alpha Xt + (1-

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Consider the following single exponential smoothing model: St = α\alpha Xt + (1- α\alpha ) St-1
You are given the following data:
=0) 1, Xt=0.5,St-1=0.2  Consider the following single exponential smoothing model: S<sub>t</sub> =  \alpha X<sub>t</sub> + (1- \alpha )  S<sub>t</sub><sub>-1</sub> You are given the following data: =0) 1, X<sub>t</sub>=0.5,S<sub>t-</sub><sub>1</sub>=0.2   If we believe that the true DGP can be approximated by the exponential smoothing model, what would be an appropriate 2-step ahead forecast for X? (i.e. a forecast of X<sub>t+</sub><sub>2</sub> made at time t)  A)  0.2 B)  0.23 C)  0.5 D)  There is insufficient information given in the question to form more than a one step ahead forecast. If we believe that the true DGP can be approximated by the exponential smoothing model, what would be an appropriate 2-step ahead forecast for X? (i.e. a forecast of Xt+2 made at time t)


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