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Consider the following two-variable VAR model with one lag and no intercept: a. Show that the iterated two-period-ahead forecast for Y can be written as

Consider the following two-variable VAR model with one lag and no intercept:

a. Show that the iterated two-period-ahead forecast for Y can be written as Y t/1-2 = ? 1 Y 1-2 + ? 2 X t-2 and derive values for ? 1 and ? 2 in terms of the coefficients in the VAR.

b. In light of your answer to (a), do iterated multiperiod forecasts differ from direct multiperiod forecasts? Explain.

Y=BY-1+YX + X=B21Y-1+Y21-X-1 1111 + 112

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