SIXTH TAKE-HOME EXERCISE SET [14 Points Total] L. Tesfatsion DUE DATE: Tuesday, April 30, 9:30 A.M. Econ 302/Spring 96 **PLEASE NOTE: As always, no late assignments will be accepted. ---------------------------------------------------------- EXERCISE 6.1 [6 Points Total]. This exercise extends the previously assigned "balanced budget" exercise 3.4 on the Third Exercise Set. Consider an economy described by the following six relations, where D denotes an exogenously set target level for the government budget deficit: (1) Y = C + I + G + NE (2) C = a + b[1-t]Y (3) I = e - dR (4) NE = g - mY - nR (5) M/P = kY - hR (6) G - tY = D Period T endogenous variables: Y, C, I, NE, R, G Exogenous variables (positive): a,b,t,e,d,g,m,n,M,P,k,h,D, with t,b less than 1 Part A: Define what is meant by an IS curve for the economy described by relations (1) thru (6). Derive an algebraic expression for the IS curve for this economy and illustrate this curve graphically. Determine whether or not an increase in D affects the IS curve, and illustrate any effects graphically. Part B: Define what is meant by an LM curve for the economy described by relations (1) thru (6). Derive an algebraic expression for the LM curve for this economy and illustrate this curve graphically. Determine whether or not an increase in D affects the LM curve, and illustrate any effects graphically. Part C: Using Parts A and B, graphically determine how an increase in D affects the IS-LM equilibrium values Y^o and R^o for GDP Y and the real interest rate R. Provide an economic interpretation for your findings. In particular, do your findings suggest that an increase in D (i.e., an increase in the size of the government budget deficit) has negative short-run implications? negative long-run implications? Explain carefully. ------------------------------------------------------ EXERCISE 6.2 [4 Points Total]. Hall and Taylor, Chapter 9, ANALYTICAL exercise 9, page 262. #Be sure to justify your assertions and label all graphs carefully.# -------------------------------------------------------- EXERCISE 6.3 [4 Points Total]. Hall and Taylor, Chapter 9, MACROSOLVE exercise 5, page 264. #Be sure to justify your assertions and include with your answer any MacroSolve data referred to in your answer#. NOTE: The "price shock" referred to in part b is a term Z(T) appended to the usual expectations augmented Phillips curve that is treated as an exogenous variable (a disturbance to the economy from "outside"): INF(T,T+1) = INF^e(T,T+1) + [Y(T)-Y*(T)]/Y*(T) + Z(T) . The effect of Z(T) is to cause a sudden change in P(T+1) not due to either inflationary expectations or GDP gap pressures. --------------------------------------------------------