Q4. You are given the following information about country A in period 0:r (interest rate paid on debt) = 5%; g (growth rate of GDP) = 9%; b (debt-to-GDP ratio) = 80%. (a) Calculate the primary deficit to GDP ratio at which the debt can be stabilized. (b) Suppose in period 1, the country is running a primary deficit at the level obtained in part (a). Starting period 2, the country faces a recession and the growth rate falls to 7%. Calculate GDP, total Debt, the debt-to-GDP ratio, and the ratio of interest payments to GDP for the next three periods (Period2, Period3, Period4). Use the grid below to fill in your answers. Hint: Fill out each column first and then move to the next column Growth Rate Y (in Dollars) D (in Dollars) Debt/GDP Ratio (b) Interest Paid (rD) Ratio of Primary Deficit to GDP (Freeze so that this is always kept at the answer to a) Primary Deficit (in Dollars) New Debt (Interest + Primary Deficit) Total Debt (copy this number for D in the next column) Period 0 100 80 Period 1 9% Period 2 Period 3 Period 4 7% 7% 7% (c) Is this situation sustainable? What are the options for the government to make the situation sustainable again? (d) Is this process likely to be easy? Briefly describe the likely winners and losers from different policy options that may be adopted to stabilize b.