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- The figure below shows a simple macroeconomic consumption model. The letters N and D indicate curves, the letters T, A, L and Q denote (intersection) points. The "auxiliary triangles" marked in burgundy mean that if the value of the horizontal section shown in them is considered to be 1, the value of the vertical sections is s and r, respectively. It is known that L is 100 and ris 0.75. T 45° A 1 Give the equation of the savings function: S= (use a decimal point and 2 decimals if needed, and write capital letters as an unknown variable) How much is the value of A on the X axis?I. Consider first the goods market model with (exogenously given) constant investment. Consumption is given by C = c, + c,(Y – T) and I, G, and T are given. a. Solve for equilibrium output. What is the equation for the multiplier? Now let investment depend on both sales and the interest rate: I = bo + b¡Y – bzi b. Let's assume that c, + bị < 1. Solve for equilibrium output. At a given interest rate, is the effect of a change in autonomous spending bigger than what was in part (a)? Why? Next, write the LM relation as M/P = d,Y – dzi c. Solve for equilibrium output. (Hint: Eliminate the interest rate from the IS and LM relations.) Derive the multiplier (the effect of a change of one unit in autonomous spending on output).3. Analytic Question on Durable Consumption It is known that durable consumption is more sensitive to interest rates and expected income. In this question, we investigate if this is the case in the context of the model we have been studying. We investigate the following decision: U (c1, c2) 1 max {c1,c2} 2 VCi + xo + subject to the following budget constraints: The time 1 budget constraint: a = Y1 - Ci and the time 2 budget constraint: C2 = Y2 + (1 +r) a. The novelty is that ro is now a variable to represents past purchases of goods 1. You can think of this as a car. In turn, we have that x1 = c1 so a1 is consumption derived utility in period 2 derived from past purchases. For this question assume that B (1+ r) = 1. Answer the following questions. а. Substitute out a from both budget constraints, the one at time 1 and time 2, to write a single intertemporal budget constraint. b. Show that the Euler equation (the equation that relates the marginal utility of consumption to the interest…
- Consider first the goods market model with constant investment that we saw in Chapter 3. Consumption is given by C = c0 + c1(Y - T) and I, G, and T are given. a. Solve for equilibrium output. What is the value of the multiplier for a change in autoomous spending? b.Now let investment depend on both sales and the interest rate: I = b0 + b1Y - b2i Solve for equilibrium output using the methods learned in Chapter 3. At a given interest rate, why is the effect of a change in autonomous spending bigger than what it was in part a? In other words, why the multiplier is now bigger?3. Consider the following consumption and output functions. Ct = Co+cYt-1 with 0What is the Euler equation for consumption and what is What is the Euler equation for consumption, and what is its economic interpretation? What is the Euler equation for consumption and what is1) In the IS equation why wasnt G in the calculations. 2)Suppose that with all exogenous variables, including T and M at their original values, households become less confident about the future and reduce their autonomous level of consumption from 200 to 150. Solve for the new values of e, Y and NX. With the help of graphs, explain very carefully the mechanisms by which a new equilibrium is reached. 3)Suppose that with all exogenous variables at their original values, the autonomous part of money demand increases to 70. Solve for the new values of e, Y and NX. With the help of graphs, explain very carefully the mechanisms by which a new equilibrium is reached.Consider the following model. Expenditure is given by: E = C +1 + G. The consumption function is specified as: C = c0 +cY. We assume a closed macroeconomics system so that: Y=E. If the model parameters are configured such that I= 500, G=2000, c0=1000 and c=0.8, what will the level of consumption expenditure, C, be equal to? a. 4,375 b. 15,000 c. 14,000 Cd. 14,500Consider an economy that works acoording to the classical model, and the Fisher equation holds for the money market. In this economy the consumption function is C(Y-T)=250+0.75(Y-T), the investment function is I(r)=1000-50r, where Y is income, T is net taxes and r is real interest rate. The government spends 1100 units of output on goods and services and coolects 1000 units as taxes. The labor supply is 1000, while the capital stock is 2500 units. The production function of this economy can be described as Y=K0.5L0.5. The economy is in its long-run equilibrium. The velocity of money is 2, while nominal supply of money is 6000. a) Calculate the equilibrium interest rate of this economy. b) Calculate the price level. c) What is the real wage at which the labor market is at equilibrium? What is the nominal wage? Plzzz give answer of all questions.Consider the problem of an individual that has Y dollars to spend on consuming over two periods. Let c, denote the amount of consumption that the individual would like to purchase in period 1 and c2 denote the amount of consumption that the individual would like to consume in period 2. The individual begins period 1 with Y dollars and can purchase c1 units of the consumption good at a price P and can save any unspent wealth. Use sı to denote the amount of savings the individual chooses to hold at the end of period 1. Any wealth that is saved earns interest at rate r so that the amount of wealth the individual has at his/her disposal to purchase consumption goods in period 2 is (1+r)s1. This principal and interest on savings is used to finance period 2 consumption. Again, for simplicity, we can assume that it costs P2 dollars to buy a unit of the consumption good in period 2. 2 The individual's total happiness is measured by the sum of period utility across time, u(cı) + u(c2). Let u(c)…Consider the intertemporal model of consumption studied in class, with two possible periods. Consider initially that an individual is a borrower. If the interest rate increases: (a)The individual will never become a saver. (b)The individual will always remain a borrower. (c)The individual will be worse off, provided she remains a borrower. (d)The individual can be better off, but only if she becomes a saver. Both c and d.Consider a basic goods market model where the propensity to consume is 60% of disposable income. If the government wants to increase output Y by 10%, public spending should beScegli un'alternativa: I do not answer increased by 2,5% of Y increased by 4% of Y increased by 10% of Y increased by 40% of YSEE MORE QUESTIONS
