You are given the following equations: r=4-Y r=1-25+/Y 2P IS curve LM curve a) Is this information sufficient to calculate output and interest rate values in the short run IS-LM equilibrium? If not, what other information do you need to do that? Please explain graphically why that extra information enables you to calculate equilibrium output and interest rate. b) Write the AD equation corresponding to the two IS and LM equations above. The following information is now added: Y = Y + 4(P - Pe); where Y = 4; Pe = 2 SRAS curve
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- == 2. Consider an IS/LM model of an economy with the following equations:C = 300+ 0.6Ydl 100 5iG 200TR = 200T 200T = 0.1YL = 0.4Y 30iM/P = 500(a) Using the above data, derive the equation for the IS schedule. (b) In this example, what is the equation for the LM schedule? (c) Using simultaneous equations calculate the equilibrium level of income and interestrates. Sketch the IS/LM equilibrium position. (d) What are the values of the monetary policy multipliers with respect to income andinterest rates? If the money supply is increased by 30, what are the new market clearing income and interest rate levels?Just solve questions 10-12, thank u! 5.The basic purpose of the ceteris paribus assumption is to: isolate the relationship between two variables by assuming all other factors remain constant allow one to focus upon micro variables by ignoring macro variables allow one to focus upon macro variables by ignoring micro variables determine whether x causes y or vice versa 6.The law of demand states that: price and quantity demanded are inversely related the larger the number of buyers in a market, the lower the price of the product price and quantity demanded are directly related consumers buy more of a given product at high prices than they buy at low prices 7.Which of the following does not cause the demand for product K to change? a change in the price of substitute product J an increase in consumer incomes a change in the price of K a change in consumer preferences 8.The law of supply indicates that: producers will offer more of a product at high prices than…6, Let D(p,q) and E(p, q) be the demands for two commodities when the prices per unit are p and q, respectively. Suppose the commodities are substitutes in consumption, such as butter and margarine. What are the normal signs of the partial derivatives of D and E with respect to p and q? Explain.
- Given the two functions below: y=10e-0.5q and y=7ln5q Draw the two functions for the interval -1<q<3. From the diagram drawn identify which of the two functions represents the demand curve, supply curve and name the intercept(s) formed. Economically, it is said that equilibrium is established when the demand curve intercepts the supply curve. Hence or otherwise, determine the equilibritum price and quantity.Suppose that Y=MX+b, where Y=consumption, b=consumption at zero income, M=slope, and X=income(i) Are Y and X positively related or are they negatively related?(ii) If graphed, would the curve for this equation slope upward or slope downward?(iii) Are the variables Y and X inversely related or directly related?(iv) What is the value of Y if b=10, M=.50, and X=200?(v) What is the value of X if Y=100, b=10, and M=.25?QUESTION ONE Assume that an economy is represented by the following system of equation: C = C₁(Y-T) I = bo + b₂Yb₂i Ma P = C-a *i G = Go T = To Assume that a, bo, b₁,b₂, and c₁ are all positive and that b₁ + b₂ < 1. For simplicity assume that P = 1 Important: Note that unlike in the short run model we have saw in class, money demand depends on consumption, and not on total output. A. Derive an equation for the aggregate demand or the IS-curve in this closed economy and derive an expression for the slope of the IS as showing the relationship between interest rate and output B. Derive an equation for the LM curve and derive an expression for the slope of an LM curve and show the relation between interest rate and output C. Find an expression for equilibrium output and interest rates using answers in questions A and B.
- A Supply Manager controls Inventories by answering two critical questions "How much to order" and "When to order".? In this context, with the help of Graphs describe briefly the two methods(namely Q & P systems) under the Replenishment System of Inventory control. ?An individual has preferences over contingent consumption in two states of nature {a, b}, given by u (x(a), x(b)) = logx(a)+ 2logx(b), and current income m sured in units of consumption. The prices of contingent contracts for deliveries of a unit of consumption in the two states of nature are (p(a), p(b)) = (1,4). Find the optimal consumption plan (x*(a), x* (b)) of this individual and answer: compute the value of the consumption plan in state a, i.e., p(a)x*(a). 6, mea-In this problem you will work with the IS-MP model to calculate a macroeconomic equilibrium using algebra. The steps are: 1) find the IS equation 2) find the MP equation 3) 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 inflation is 3%, the risk premium is 4%, and potential output is 80. What is the output gap in the macroeconomic equilibrium?
- 6. Suppose innovations in farming lead to an increase in agricultural land rent from rÃO to rÃ₁. Answer the following questions using the predictions of the urban model. Assume that the supply-demand equilibrium holds, and that the city's population must fit within its boundary. (a) Illustrate the effects of the increase in agricultural land rent on the diagram below. Be sure to label the change(s) to the city boundary, x, clearly. (b) What happens to the building heights? (c) What happens to dwelling sizes?You are hired to work as economic advisor to His Excellency the PrimeMinister of Xanadu, an imaginary country that suffers from a severe recession condition due tothe Novel Coronavirus Pneumonia (COVID-19) pandemic.What are your recommendations for an urgent plan to rescue the economy of Xanadu?Specifically, what government policy actions are required? Explain to His Excellency thepossible drawbacks of your recommended course of actions.Hello What is the Euler equation used for in this model in equation 7. This is a model from asset pricing. c_t = Consumption U = Utility