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You have estimated the following ARMA(1,1) model for some time series data: y_t=0.025+0.50y_(t-1)+0.25u_(t-1)+u_t Suppose that you have data for time to t-1, i.e., you know

You have estimated the following ARMA(1,1) model for some time series data: y_t=0.025+0.50y_(t-1)+0.25u_(t-1)+u_t Suppose that you have data for time to t-1, i.e., you know that y_(t-1)=3.0, and u _(t-1)=-1.5 Determine whether the MA part of the process is invertible (show all your workings) (5 Marks) If the actual values for the series y for times t,t+1,and t+2 using the estimated ARMA model turned out to be -0.045,0.865,0.315 for t,t+1,and t+2, calculate the out-of-sample mean squared error. (7 Marks)

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