In this question assume all dollar units are real dollars in billions, so $300 means $300 billion. It is year 0. Argentina thinks it can find $300 of domestic investment projects with an MPK of 20% (each $1 invested pays off $0.20 in every later year). Argentina invests $100 in year 1 by borrowing from the rest of the world at a world real interest rate r* of 10%. There is no further borrowing or investment after year 1. Use the following assumptions: Assume initial external wealth W.; = 20. Assume G = 0 always; and assume I = 0 except in year 1. Assume NUT=KA = 0 and that there is no net labor income. The projects start to pay off in year 2 and continue to pay off all years thereafter. Interest is paid in perpetuity, in year 2 and every year thereafter. In addition, assume that if the projects are not done, then GDP = Q = $100 in all years, so that: PVQ) = 100 + 100/0.1 = 1,100. Assume that Argentina is smoothing consumption. a. Suppose the project is not funded. At year 0, what does the LRBC say is the PV(C) in dollars? What is consumption in every period? (5 points) b. From this point forward, assume the projects totaling $100 are funded and completed in year 1. If the MPK is 20%, what is the total payoff from the projects in years 2 and after? (2.5 points) c. Assume this is added to the $100 of GDP in all years starting from year 2. In dollars, what is Argentina's Q = GDP in year 0, year 1, year 2, and later years? (2.5 points) d. At year 0, what is the new PVCQin dollars? (5 points) e. At year 0, what is the new PV(I) in dollars? Therefore, what does the LRBC say is the new PVC) in dollars? (7.5 points) f. Assume that Argentina is smoothing consumption. What is the new level of C in all years? (answer accuracy = 2 decimals) (2.5 points) g. For years 0, 1, and 2 explain Argentina's balance of payments as follows: State the levels of CA, TB, NFIA, FA, and W. (answer accuracy = 2 decimals) (15 points) In this question assume all dollar units are real dollars in billions, so $300 means $300 billion. It is year 0. Argentina thinks it can find $300 of domestic investment projects with an MPK of 20% (each $1 invested pays off $0.20 in every later year). Argentina invests $100 in year 1 by borrowing from the rest of the world at a world real interest rate r* of 10%. There is no further borrowing or investment after year 1. Use the following assumptions: Assume initial external wealth W.; = 20. Assume G = 0 always; and assume I = 0 except in year 1. Assume NUT=KA = 0 and that there is no net labor income. The projects start to pay off in year 2 and continue to pay off all years thereafter. Interest is paid in perpetuity, in year 2 and every year thereafter. In addition, assume that if the projects are not done, then GDP = Q = $100 in all years, so that: PVQ) = 100 + 100/0.1 = 1,100. Assume that Argentina is smoothing consumption. a. Suppose the project is not funded. At year 0, what does the LRBC say is the PV(C) in dollars? What is consumption in every period? (5 points) b. From this point forward, assume the projects totaling $100 are funded and completed in year 1. If the MPK is 20%, what is the total payoff from the projects in years 2 and after? (2.5 points) c. Assume this is added to the $100 of GDP in all years starting from year 2. In dollars, what is Argentina's Q = GDP in year 0, year 1, year 2, and later years? (2.5 points) d. At year 0, what is the new PVCQin dollars? (5 points) e. At year 0, what is the new PV(I) in dollars? Therefore, what does the LRBC say is the new PVC) in dollars? (7.5 points) f. Assume that Argentina is smoothing consumption. What is the new level of C in all years? (answer accuracy = 2 decimals) (2.5 points) g. For years 0, 1, and 2 explain Argentina's balance of payments as follows: State the levels of CA, TB, NFIA, FA, and W. (answer accuracy = 2 decimals) (15 points)
