The following table shows the growth rates of selected countries predicted for 2023 in the IMF World Economic Outlook (WEO) October 2023 database and the ratio of their GDP to world total GDP in 2022. Real GDP growth rate, 2023 Fraction of Global GDP, 2022 India 6.33% 7.26% Japan 1.96% 3.74% a) (20pts) Compute, separately, India's and Japan's individual contribution to global growth in 2023 (in percentage points). b) The October 2023 IMF WEO forecasted global growth of 3.0% for 2023. Compute the fraction of total global growth attributable to India and Japan (summed together), expressed either in percent or percentage points, labelling your answer with the appropriate units. c) (30pts) What is the catch-up effect? What mathematical property causes it? d) In 2023, India's PPP-adjusted GDP per capita expressed in 2017 US$ was $7500. Do you expect that this number is higher, lower, or similar for Japan? Could the gap between the two countries' growth rates be driven by the catch-up effect? Why or why not? What do you think is happening