Cross Country Comparisons In this section, we'll enrich our study of income levels across countries. Here, we'll get acquainted with crosscountry data that. the Below Growth model can speak to. You shold look at the US and two (any) other countries. It'll work better if the two countries are poorer than the US. For data, look at the Penn World Table here: https : erbpwt .webhoeting.rug.nlfHome, 1. Using the Penn World Tables download the series for GDP, labor and capital stock. For GDP and capital stock, use \"constant 2017 national prices," and for labor use \"persons engaged." Compute GDP per worker YfL and plot the di'ereuce between the US and the other countries. What about capital per worker. KjL? 2. For as 9: back as you can go. plot the capital-output ratio. Y/K for each country. What's been the trajectory for the US? For the other countries? 3. Piot the change in natural log for each of these over time, Le. log n+1 logs: for :r = Y.L.K. Now try computing the growth rates for each, 2:1 1. Similar, right!? 4. Consider the production function 1' = {1K \"Llq, converting this into per worker terms, we get YfL = y = if}; = Air\". In a given year. we then have 73},- = A. Compute this for each country using or = 0.5. What do you notice about differences in A? Do richer places have higher or lower A