Hi, I would like to get help for Advanced Macroeconomics. I need solution for the following problem. I am attaching the

5 Government debt (10 points) Denote the debt,\" output ratio by b, and the ratio of the primary surplus to output by 3,. The dynamics of b, are given by 1 + r b = _ s . (, + g) , . . where g is the growth rate of output and r is the interest rate. {It is irrelevant whether all quantities are in nominal or in real terms.) {a} If the debt f output ratio is b,_1 = 12%, the growth rate is g = 5%, and the interest rate is r = 2%, what is the debt-stabilising primary balance? That is, what level of s, keeps the debt foutput ratio constant {bl = 5:4]? {b} How does your answer to {a} change if g = 2%? {c} How does your answer to [a] change if g = 0%? [d] Now let's consider a situation with r f. 9. Specically, let's assume that r = 1% and g = 4%. If the government always runs a primary decit of 5% of output (3, = s = 5%], what is the steady-state value of the debt ,3 output ratio, tr\"? {e} Using the assumptions from (d), calculate and plot the value of b, for t ranging Erom 1 to 200, starting at :51 = 50%. {f} Using the same assumptions, plot the values of b, for a starting value of bl = EDU'E. {g} Give one argument why this country's scal policy seems sustainable, and one argument why it might not he sustainable