you will WUIR WILIn he er to Caiculate a maCr Igebra. The steps are: ) find the IS equation E) find the MP equation ) combine them by substituting the r value from the MP equation into the IS equation Assume C = 1 + 0.75Y - 0.5T - 25r, I = 19 - 75r, G = 12, T = 14, the average FFR = 0.05, expected nflation is 3%, the risk premium is 4%, and potential output is 80. What is the output gap in the nacroeconomic equilibrium?
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- 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?1. Suppose that we are interested in measuring the relationship between hourly wage and output productivity in the U.S economy. Variables hrwage(t) and outphr(t) denote the average hourly wage and output productivity in the U.S economy for year t. We start by estimating the model specification shown in equation (1) below: log(hrwage) = Bo + B₁ log(outphre) + ut. where log(.) denotes the natural logarithm and ut is the error term. (a) Provide a brief interpretation of parameters 0 and 1 in (1).The table contains price-demand and total cost data for the production of extreme-cold sleeping bags, where p is the wholesale price (in dollars) of a sleeping bag for an annual demand of x sleeping bags and C is the total cost (in dollars) of producing x sleeping bags. Complete parts (A) through (C) below. (A) Find a quadratic regression equation for the price-demand data, using x as the independent variable P(x) = x² + + O (Round the constant to four decimal places as needed. Round all other values to six decimal places as needed) X+ X 960 1,150 1,900 2.000 230 210 160 120 135.000 150 000 180.000 200 000
- 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.(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)Question 2. Which of the following models can be estimated (following a suitable transformation if necessary) using ordinary least squares (OLS), where x, y, z are variables and a, B, y are parameters to be estimated? a) y, = e¤x,°e b) y, = a + Byx, + ɛ, c) In(y,)= a + B In(x,)+ɛ, d) y, = a +ßx;z, + ɛ;
- The demand function for Newton’s Donuts has been estimated as follows:Qx = -14 – 54Px + 45Py + 0.62Ax where Qx represents thousands of donuts; Px is the price per donut; Py is the average price per donut of other brands of donuts; and Ax represents thousands of dollars spent on advertising Newton’s Donuts. The current values of the independent variables are Ax=120, Px=0.95, and Py=0.64.Show all of your calculations and processes. Describe your answer for each question in complete sentences, whenever it is necessary. Calculate the price elasticity of demand for Newton’s Donuts and describe what it means. Describe your answer and show your calculations. Derive an expression for the inverse demand curve for Newton’s Donuts. Describe your answer and show your calculations. If the cost of producing Newton’s Donuts is constant at $0.15 per donut, should they reduce the price and thereafter, sell more donuts (assuming profit maximization is the company’s goal)? Should Newton’s Donuts spend…(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)?Suppose you are the manager of a firm that produces good X in Ghana. In order to make informed decision, you engaged an economist to estimate the demand equation for your product. Using data from 30 supermarkets around the country for the month of April, 2021, the estimated linear regression result for your product is shown in the table below: Variable Parameter Estimates Standard error Constant -164.0 20.24 Price of good X (P,) Price of good Y (P,) -3.50 1.55 2.50 0.28 Per capita Income (/) 0.45 0.52 R-squared 0.8672 Adjusted R-squared 0.8132 F-statistic 15.6893 a) Suppose the average price of 3 units of good X is GH¢12, price of 2 units of goodY is GH¢60, the per capita income of Ghana is GH¢420. 1. Write down the estimated demand equation for your firm's product and interpret the parameter estimates. Determine the quantity of good X sold. Estimate the own price elasticity of demand and state the type of demand curve 11. 111. your firm has?
- The equation, d(t) = 350 t + 6560 represents the tuition, d dollars, at a college for the year that is t years since 2013. Find an inverse function for this model. ++350 6560 t-6560 350 t-6560 300 t-350 6560 S (oI am trying to answer number 5 with the table provided. I was provided in my lesson with the equation MU1/P1=MU2/P2 but I am having trouble trying to figure out what Numbers to plug into the equation from the table.The table to the right contains price-demand and total cost data for the production of projectors, where p is the wholesale price (in dollars) of a projector for an annual demand of x projectors and C is the total cost (in dollars) of producing x projectors. Answer the following questions (A) - (D). (A) Find a quadratic regression equation for the price-demand data, using x as the independent variable. X 270 360 520 780 The fixed costs are $. (Round to the nearest dollar as needed.) ITTI y = (Type an expression using x as the variable. Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.) Use the linear regression equation found in the previous step to estimate the fixed costs and variable costs per projector. The variable costs are $ per projector. (Round to the nearest dollar as needed.) (C) Find the break even points. The break even points are (Type ordered pairs. Use a comma to separate answers as needed. Round to the nearest integer as…