Using the production function approach (augmented model), answer the following questions. For simplicity, assume that there are two countries: a poor country (with low living standards) and a rich country (with high living standards). Explain and illustrate how convergence works in the following cases. Briefly explain how each scenario affects the speed with which the poor country converges with the rich country. Unless otherwise noted, assume that each country has the same MPK and that their productivity levels are different, with.

a. Foreign direct investment into the poor country leads to an increase in its access to technology.

b. The rich country experiences an increase in human capital through government funding of education.

c. The poor country experiences an improvement in political stability through the signing of a peace treaty between warring factions.

d. A sovereign debt default by the poor country’s government leads to an increase in the risk premium.