for the unique equilibrium (r*,Y*). You should also assume that f' (Y) = (0, 1) (Why?). Find dr/d Mo and dy*/d Go, and interpret your results.
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- Consider the system of equations: pi = β0 + β0qi + β2ti + β3zi + ui qi = α0 + α1pi + α2ki + ԑi where p and q are endogenous variables.t, z and k are exogenous variables.u and ԑ are disturbance terms. And i is cross section. Explain how you would go about estimating the stated system of equations.Q25. Given demand and supply for the Cobweb model as follows, find the intertemporal equilibrium price, and determine whether the equilibrium is stable; (i) Qdt = 18-3P Ost = -3 +4Pt-1 (ii) Qdt = 22-3P Qst = -2 + Pt-1i. List all the endogenous and exogeneous variables in the model.
- (c) Consider the following macroeconomic model Y = C + 1 + Go C = 40 + 0.8Y I = 0.1Y How many degrees of freedom does the system have? Given that Go is exogenous government expenditure, find the equilibrium solutions for Y, C and I. b(i) hand written plz (ii)C. Suppose your neighbor is a physics major who also races motorcycles, and she tells you that horsepower can be expressed in terms of the following equation: H = MDA/S where M=mass, D-distance, A=acceleration and S and H are as defined above. Based on this conversation with your neighbor, you decide to change the functional form of the relationship to include 1/H rather than H as an explanatory variable because that's the appropriate theoretical relationship between the two variables. Estimate the above equation, substituting 1/H for H. Which of the two models do you prefer and why?D2) Economics In the R program, with what code is the vector outoregressive model found? (for daily return)
- (1.4) Consider the following IS-LM model: I Y=C+I+G C=100+0.4(Y-T) I= 150 +0.2Y - 4,000r r = 0.01 with G = 200 and T = 100. (a) Derive the IS curve and draw it in an appropriate diagram. (b) Calculate the equilibrium values of Y, C, I and r. (c) What is the impact of decreasing government spending to G' = 180 in terms of the new equilibrium value Y"? (d) Suppose the central bank decides it wants to counteract the restrictive fiscal policy. What exactly (i.e. we look for graphical and numerical answers) can the central bank do in order to keep equilibrium output at the value obtained for Y in (b)?In an intertemporal optimizing model consumption, a consumer living from time zero (0) to time t has a longer utility: U (C)= ln C. The market interest rate is r and the consumer is assuming no inheritance. Derive the consumption relationship and the marginal utilities between two adjacent periods. Using a diagram, explain the time profiles of paths based on (i) above. Show that consumption is proportional to the present value of future income at time zero (0) at a given interest rate.(b) Discuss the distinction and similarities between partial and general equilibrium analysis.
- An example of the interaction term between two independent, continuous variables is: a. Yi = B0 + B1Xi+ B2DI + B3(Xi× Di) + ui. b. Yi = BO + B1X1¡+ B2X21+ ui. c. Yi = B0 + B1D1¡+ B2D2I+ B3 (D1i× D2i) + ui. d. Yi = B0 + B1X1¡ + B2X21+ B3(X1i× D21) + ui. e.All of the above. f. None of the above.Consider the one-sector Schumpeterian model in discrete time analyzed in the previous exercise, except that now (.) denotes the probability of innovation, and each innovation improves the quality of a machine q to λq, where λ > 1. Suppose that when a new innovation arrives a fraction ϕ of workers employed in the final good production are unable to adapt to this new technology and need to remain unemployed for one time period to “retool.” (a) Define the equilibrium and steady-state (BGP) allocations. [Hint: also specify the number of unemployed workers in equilibrium.] (b) Define the appropriate generalization of the steady state for this economy, and determine the number of unemployed workers in this equilibrium. (c) Show that the economy experiences bursts of unemployment followed by periods of full employment. (d) Show that a decline in ρ increases the average growth rate and the average unemployment rate in the economy.the following mundell-fleming model of a small, open economy will be used in all numerical exercises. it assumes a short-run framework in which prices are constant and output is demand-determined. c=150+0.8(y-t) i=500-30r nx=400-150e m/p=50+y-60r r=5 g=300 t=100 m=3000 p=3 the above values of exogenous variables will be referred to as their original values in the questions below. for this question, assume that the exchange rate is floating. derive the equilibrium equations for is* and lm*, sketch a graph of the two equations and solve for the equilibrium values of y, e and nx. b)Suppose the Treasury attempts to stimulate the economy by decreasing taxes T from 100 to 70. Calculate the new values of Y, e and NX. With the help of the graph you sketched in (a), explain the mechanism by which a new equilibrium is reached. answer part b