Consider an MA (1) X, = Et - 018-1 time series. -1- 1. Find the Information for a one-step forecast based on observations at times t = {1,...,n}. i.e. calculate 1 xn+1 Y...X E(Xn+1 X(1))) Var(X.+1) Hint: you will not need to invert the series. [5] 2. Find the Information for a two-step forecast based on observations at times t = {1,...,n}. (5) 3. Comment on the difference between the results in the previous two parts, with reference to the ACF function (5] Consider an MA (1) X, = Et - 018-1 time series. -1- 1. Find the Information for a one-step forecast based on observations at times t = {1,...,n}. i.e. calculate 1 xn+1 Y...X E(Xn+1 X(1))) Var(X.+1) Hint: you will not need to invert the series. [5] 2. Find the Information for a two-step forecast based on observations at times t = {1,...,n}. (5) 3. Comment on the difference between the results in the previous two parts, with reference to the ACF function (5]