Question 4. Using your knowledge of IS-LM, solve the following: 8
12
1+r 1+r
(a) If the consumption function is given by C = 100 + 0.6(Y − T ), planned investment is given by 1000 − 100r, G is equal to 100, and T is equal to 100. Solve for the IS equation (hint:Y as a function of r). The economy is a closed economy.
(b) If the money supply is equal to 2000 and real money demand, (M/P)d is given by Y −150r, solve for the LM curve (hint: again, Y as a function of r). Also assume that P = 1.
(c) Using the IS and LM equations, solve for equilibrium income (Y ) and interest rate (r) in this economy.
a) IS equation is given as
Y = C + I + G
Y = 100 + 0.6(Y -T) + 1000 - 100r + 100
Y = 1200 + 0.6(Y - 100) - 100r
Y = 1200 + 0.6Y - 60 - 100r
Y = 1140 + 0.6Y - 100r
Y - 0.6Y = 1140 - 100r
0.4Y = 1140 - 100r
Y = 2850 - 250r
b) LM equation is given as
(M/P)d = M/P
Y - 150r = 2000/1
Y = 2000 + 150r
c) In equilibrium YIS = YLM
2850 - 250r = 2000 + 150r
2850 - 2000 = 150r + 250r
850 = 400r
r = 850/400
r = 2.125
Y = 2000 + 150r
Y = 2000 + 150(2.125)
Y = 2000 + 318.75
Y = 2318.75
Question 4. Using your knowledge of IS-LM, solve the following: 8 12 1+r 1+r (a) If...
Question 1: General Equilibrium in closed and open economies [50 marks] Consider the following closed Keynesian economy Desired consumption, Cd = 1000 + 0.6(Y-T) - 300r; Desired investment, Id = 600 - 300r; Money deman d, L = 0.6Y - 300r; Output, Ȳ = 4000; Expected inflation, πe = 0; Assume that we are in a closed economy. Suppose that T = G = 300 and M = 8000. Find the equilibrium values of output, consumption, investment, the real interest...
Liquidity Trap in the IS-LM Model (50 points) Consider a closed economy in which output is the sum of consumption, investment and government purchases Y = C + I + G, and where C, I and G are respectively given by C = 5000 – 2000 r + 0.8(Y– T), I = 1500 – 3000 r, and G = 2500. Note also that lump-sum taxes T are given by 1250. (a) (5 points) Recalling that national savings equals S =...
Question 1: IS-LM-AD in a closed economy (35 Marks) The following represent the key equations for a closed economy: Md 18+0.5Y-450 Money demand C" = 6 + 0.8(Y-T)-250r 1 -33-200r u-u0.3 a) Write out the equations for the IS and LM curves for this economy, with the real Desired consumption Desired investment Initial budget position Okun's law Y-Y rate of interest (r) on the left-hand side. Next, use these relationships to find the AD curve, written with output (Y) on...
Question 1. Consider a closed economy to which the Keynesian-cross analysis applies. Consumption is given by the equation C= 200 + 2/3(Y-T). Planned investment is 300, as are government spending and taxes. (18 points) a. If Y is 1,500, what is planned spending? Should equilibrium Y be higher or lower than 1,500? (4 points) b. What is equilibrium Y? (Hint: Substitute the values of equations for planned consumption, investment, and government spending into the equation Y C+I+ G and then...
B2. Closed Economy IS-LM-FE model: The behaviour of households and firms in a closed economy is represented by the following equations Desired consumptionC 200+0.8(Y-T-500r Desired investment : r = 200-500r Real money demand where expected inflation is ㎡-0.10 and taxes depend on income according to T 20+0.25Y. (a) Derive an expression for the IS curve with the real interest rate on the left side of the equation. How does the position of the IS curve depend on G? (b) If...
Question 1: General Equilibrium in closed and open economies [50 marks] Consider the following closed Keynesian economy Desired consumption, Cd = 1000 + 0.6(Y-T) - 300r; Desired investment, Id = 600 - 300r; Money deman d, L = 0.6Y - 300r; Output, Ȳ = 4000; Expected inflation, πe = 0; Calculate the investment and consumption. c. Find the new long-run equilibrium by taking M = 6000 and the price level as flexible (repeat part a). The following are the steps...
Consider the economy of Hicksonia a. The consumption function is given by C = 200 + 0.6(Y- T). The investment function is I = 200 - 40r. Government purchases and taxes are both 100. For this economy, graph the IS curve for r changing from 0 to 8. b. The money demand function in Hicksonia is (M/P)d = Y - 100r The money supply M is 1000 and the price level P is 2. For this economy, graph the LM...
The income identity for a closed economy says that Y-C+I+G Assume that in the Economy of Berkeley GDP (Y) is equal to 6,000 and consumption (C) is given by the equation C 600+0.6(Y - T). In addition, investment (I) is given by the equation 1 2, 000-100r where r is the real of interest rate in percent. Taxes (T) are 500 and government spending (G) is also 500. What are the equilibrium values of C, I, and r?
f. If P increases and M is constant, does the LM curve shit upward and to the left or downward and to the right? 2. IS-LM Model (20 points) Assume that an economy is characterized by the following equations T 600; G 500, 1-800-(50/3)r, M 1200, P M0.SY-50 (1) write the IS curve for the economy, expressing Y as a function of r· (3 points) (2). Write the LM curve for the economy, expressing r as a function of Y....
1. Consider a closed economy with the following partcipants: households, rental firm, production firm and the government: (a)Total Production: Y = 10000. (b ) Consumption is given by: C = 7200 − 100r where C is consumption and T is tax. (c) Firm: Investment I is given by equation I = 3000 − 100r. (d) Government collect lump-sum tax T=2000 and spend G=3000. Use the condition above to answer the following questions: (E) (15 pts) Solve the equilibrium real interest...