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It Has Been Argued That Canada's Aggregate Output Growth and Unemployment

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It has been argued that Canada's aggregate output growth and unemployment rates are very sensitive to United States economic fluctuations, while the opposite is not true.
(a)A researcher uses a distributed lag model to estimate dynamic causal effects of U.S. economic activity on Canada. The results (HAC standard errors in parenthesis)for the sample period 1961:I-1995:IV are:  urcan t=^1.42+0.717× urust +0.262× urust 1+0.023× urust 20.083× urust 3(0.83)(0.457)(0.557)(0.398)(0.405)0.726× urust 4+1.267× urust 5;R2=0.672, SER =1.444(0.504)(0.385)\begin{aligned}\widehat { \text { urcan } _ { t } = } & - 1.42 + 0.717 \times \text { urust } + 0.262 \times \text { urust } - 1 + 0.023 \times \text { urust } - 2 - 0.083 \times \text { urust } - 3 \\& ( 0.83 ) ( 0.457 )\quad \quad ( 0.557 )\quad\quad\quad\quad\quad\quad\quad(0.398)\quad\quad\quad\quad\quad(0.405) \\& - 0.726 \times \text { urust } - 4 + 1.267 \times \text { urust } - 5 ; R 2 = 0.672 , \text { SER } = 1.444 \\& ( 0.504 ) \quad ( 0.385 )\end{aligned}
where urcan is the Canadian unemployment rate, and urus is the United States unemployment rate.
Calculate the long-run cumulative dynamic multiplier.
(b)What are some of the omitted variables that could cause autocorrelation in the error terms? Are these omitted variables likely to uncorrelated with current and lagged values of the U.S. unemployment rate? Do you think that the U.S. unemployment rate is exogenous in this distributed lag regression?

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