Given the following set of equations for an economy model: Consumption expenditure Investment C = A+b YD I = I* - Ir %3D Tax Revenue T = T* + tY %3D Import Disposable Income I*, G*, X* and M* are autonomous investment, government spending, autonomous export dan autonomous import, respectively. M = M* + mY YD = Y - T (a) Sovle the above set of equations to obtain the equation of IS curve in the form of Y = f(r).
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- A 3-sector economic model was constructed and solved, and assuming the parameters take on certain values, the multiplier matrix that is obtained is displayed in Table 1. You are required to answer the following questions by showing your calculation in the space provided. Table 1: Multiplier Matrix Exogenous Variables Endogenous Variables I* G* T* : Output : Consumption Expenditure 1.895 : Tax Revenue Y 2.631 2.631 - 2.105 C 1.895 - 2.316 T 0.263 0.263 0.789 YD : Disposable Income : Government Budget 2.368 2.368 - 2.895 0.263 - 0.737 0.789 Balance : Saving 0.474 0.474 - 0.579 (a) If autonomous investment is reduced by 100, justify its precise impact on disposable income and tax. Answer : AYD = AT = 80, what is the amount of (b) If the govemment has increased its spending by autonomous tax that is required so that the govemment's action in increasing its spending does NOT have an impact on the government's budget balance? Answer : AT* =Linear equations for the consumption, saving schedules take the general form C = a+ bY and S= -a + ( 1 - B) Y, where C, S , and Y are consumption, saving, and national income, respectively. The constant a represents the vertical intercept, and b represents the slope of the consumption schedule. A) use the following data to substitute numerical values for A and B in the consumption and savings equation  B) what is the economic meaning of B? Of (1-b)? C) suppose that the amount of saving that occurs of each level of national income falls by $20 but that the values of B and (1-b) remain unchanged. Restate the saving and consumption equations inserting the new numerical values, and cite a factor that might have caused the change.In the circular flow model an example of a government spending flow would be collecting taxes building roads collecting interest O paying wages
- (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 macroeconomics, the marginal propensity to consume (MPC) is the proportion of extra income that is spent on consumption, and it is important for determining the effects of monetary and fiscal policy. In this exercise, you will estimate the MPC with the slope from regression analysis. 1. Your two variables are consumption and income. Which is the dependent variable and which is the independent variable? 2. You have the following data on consumption and income (in $10,000s). Income Consumption 7 9 11 5 8 2 9 12 7 2 7 2 8 9 Make a scatterplot and draw the line of best fit.1. The Grossman model uses the economic concept of a production function. Before you dive deeply into the Grossman model though, I want you to think more generally about the concept of a production function as it relates to health status. A production function describes the relationship between inputs and outputs for a production process. For a business, the inputs are labor, capital, raw materials, etc. and the output is the finished product. The production function is often describe mathematically using an equation like the one below: Y = K¹/3L2/3 Where Y is the amount of output from using K units of capital and L units of labor. a. Now consider a production function for something very different: in the United States. That is, consider a average life expectancy production function where Y = life expectancy measured in years. What do you think are the primary inputs? That is, what are the variables on the right-hand side of the equation? Hint: think broad categories...and there are…
- Consider the following model of house prices: lhprice=β0+β1bdrms+β2llotsize+β3lsqrft+u The variables are defined as: lhprice = the natural log of the house price bedrms = the number of bedrooms llotsize = the natural log of the land or lot size lsqrft = the natural log of the floor space of the house in square feet. You may assume the Gauss Markov Assumptions hold. Which of the following will make our inference on the partial effect of the number of bedrooms on the house price less precise? a) A smaller variance of any unobserved factors captured in the error term, u. b) A larger sample size. c) More variation in the number of bedrooms across the observations in the sample. d) None of the possible answers describe something that would make our inference less precise. e) A higher correlation between the number of bedrooms and the floor space of the house.Consider the following model of national income determination C = 3000 + 0.75 (y- t) T = 1000 I= 4750 G = 1500 Y=E=C+I+G Solve for the equilibrium values for all the endogenous variables Suppose the government expenditure increased by 500 find the new equilibrium value Calculate the value of the government spending multiplierC. 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?
- 3. Finally, think about the following applied situation: An economist wants to estimate a line that relates personal consumption C and disposable income I. The economist interviews a few households and obtains the following data: Income Consumption (thousands of dollars) (thousands of dollars) 20 18 18 13 27 21 36 27 37 26 45 36 50 39 a) With the help of your graphing calculator, make a scatter plot and decide whether a linear model is appropriate. Carefully draw the scatter plot on your papers, as well.A 3-sector economic model was constructed and solved, and assuming the parameters take on certain values, the multiplier matrix that is obtained is displayed in Table 1. You are required to answer the following questions by showing your calculation in the space provided. Table 1: Multiplier Matrix Exogenous Variables Endogenous Variables I* G* T* : Output : Consumption Expenditure 1.895 Y 2.631 2.631 - 2.105 C 1.895 - 2.316 T Tax Revenue 0.263 0.263 0.789 YD : Disposable Income 2.368 2.368 - 2.895 В : Government Budget 0.263 - 0.737 0.789 Balance S : Saving 0.474 0.474 - 0.579 (a) If autonomous investment is reduced by RM100, justify its precise impact on disposable income and tax. Answer : AYD= AT =2. Question 2: Suppose that you estimate a model of the aggregate annual retail sales of new cars that specifies that sales of new cars are a function of real disposable income, the average retail price of a car adjusted by the consumer price index, and the number of sports utility vehicles sold (you decide to add this independent variable to take account of the fact that some potential new car buyers purchase sports utility vehicles instead). You use the data (annual from 2000 to 2014) and obtain the following estimated regression equation: CARS, = 1.32 + 4.91Y D; + 0.0012 PRICE, - 7.14 SUV (2.39) (0.00045) (71.40) 1 where CARS = new car sales (in hundreds of thousands of units) in year t, YD; = real disposable income (in hundreds of billions of dollars), PRICE = the average real price of a new car in yeart (in dollars), SUV = the number of sports utility vehicles sold in year t (in millions). You expect the variable YD to have a positive coefficient and the variables PRICE and SUV to…