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- Consider the following IS-LM model: C = 200 + 0.25 YD ; I = 150 + 0.25Y – 1000i ; G = 250 ;T = 200 ; (M/P)d = 2Y – 8000i ; M/P = 1600Derive the (a) IS-relation and the (b) LM-relation.Solve for the equilibrium (c) real output and (d) interest rate.(e) Solve for the equilibrium values of C and I and verify yourequilibrium output by: Y = C + I + G(f) Now suppose that the money supply increases to M/P = 1840. Solve for Y, i, C, I and describe in words the effectsof monetary expansion.(g) Set M/P to its initial value 1600. Suppose, that governmentspending increases to G=400. Summarize the effects offiscal expansion on Y, i, and C.Title If someone could show me how to solve this IS-LM problem that would be very helpful. Thanks! Show tr Description If someone could show me how to solve this IS-LM problem that would be very helpful. Thanks! Show transcribed image text Desired consumption: C^d = 580 + [0.55 x (Y - T)] - 45r Desired investment: I^d = 430 - 40r Real money demand: L = 0.6 Y - 95i Full-employment output: Y = 2,210 Expected inflation pi^c : 0.03 In this economy the government always has a balanced budget, so T = G, where T is total taxes collected. a. Suppose that T = G = 150 and that M = 4,320. Use the classical IS-LM model to determine the equilibrium value of the real interest rate. (flint: In the classical model output always equals its full-employment level.) The equations are: The initial equilibrium values of output, real interest rate, consumption, investment and the price level were found to be: Output = 2,210 Real interest rate = 0.97 Consumption = 1,669.4 Investment = 391.2 Price…a) The 1-year bond yield is currently at 0.5% and the 2-year bond yield is 1%. Inflation is expected to be 2% for the next year. i. What is the 1-year bond yield expected in one year time? ii. What is the current 1-year real interest rate? b) Consider that the central bank is deciding to raise interest rates. With the aid of an expectations modified IS-LM diagram, clearly show the impact on current output if (i) the interest rate rise is limited to 1 year and (ii) if the interest rate rise is expected to be in place for several years.
- 10 - Which of the following depends on the demand for money, which we say just in case and for this purpose?A) IncomeB) to KeynesC) to the economyD) to interestE) Investment1Why low rate inflation is considered necessary for economic grwoth? Oa It does not affect the purchasing power of wages Ob. It indicates that the currency is in continuous demand by the people Oc taffects only the rich and not the poor Od itact as an incentive to boost in supply in the economy 2When the economy is in Keynesian macroeconomic equilibrium, planned investment is greater than actual investment. O a False O b. True 3Government fixes the floor and ceiling price which will not allow the producers to increase the price on their wish, this is a type of. O a Physical control called price pegging O b. Monetary policy control measures O. Physical control called price tagging Od. Fiscal policy control measures O e None 4Rising output coupled with falling prices is called stagflation O a. False O b. True 5The Value of marginal propensity to consume lies O a. O to 1 O b. Less than zero Oc -1 to 1 Od. Between O to 1 6The Central Bank way to control inflation is Oa Monetary policy…3. An investor wants to be able to buy 4% more goods and services in the future in order to induce her to invest today. During the investment period prices are expected to rise by 2%. Which statement(s) below is/are true? 1. 4% is the desired real rate of interestII. 6% is the approximate nominal rate of interest requiredIII. 2% is the expected inflation rate over the periodA. I onlyB. II onlyC. III onlyD. I and II onlyE. I, II, and III are true
- On June 5, 2003, the European Central Bank acted to decreasethe short-term interest rate in Europe by half a percentagepoint, to 2 percent. The bank’s president at the time, WillemDuisenberg, suggested that, in the future, the bank could reducerates further. The rate cut was made because European coun-tries were growing very slowly or were in recession. What effectdid the bank hope the action would have on the economy? Bespecific. What was the hoped-for result on C, I, and Y?Please no written by hand solution Consider a scenario of a closed economy in the short run where price level is fixed. Assume that bothtaxes and money supply increase in a way that keep output constant in equilibrium (suppose that themarginal propensity to consume is less than one). Which of the following may result from the policychange?a) It will lead to an increase in investment but a decrease in consumption.b) It will result in an increase in investment but a decrease in government spending.c) It will lead to an increase in investment and private saving.d) It will decrease investment but increase in public saving.Suppose that the money demand function is(M/P)d = 1,000 - 100r, where r is the interest rate in percent. Themoney supply M is 1,000 and the price level Pis 2.a. Graph the supply and demand for real moneybalances.b. What is the equilibrium interest rate?c. Assume that the price level is fixed. Whathappens to the equilibrium interest rate if thesupply of money is raised from 1,000 to 1,200?d. If the Fed wishes to raise the interest rate to7 percent, what money supply should it set?
- 2.2(a)How Permanent income hypothesis and life cycle hypothesis explain the differences between the long-run APC and the short-run APC?(b)Use an appropriate diagram based explain why the MEC-curve might overstate the additional investment that could be generated in an economy with a one-percent reduction in the rate of interest.Cd= 200+.8Y - 500r Id= 200 – 500r Real interest rate r in the equilibrium equals .2. What is the government spending G of this economy so that its full employment output of Y is 1000? Suppose M bar=8000 and r=.2. L(Y,r)=.75Y-250r. What is the price level P in this economy for Y=1000? Please draw your IS-LM curves in your graph. Use the graph to illustrate what may happen if the company had an adversary price shock.Suppose in the real business cycle model that there is a simultaneous temporary increase inboth current government spending and in the current money supply. Draw diagrams for thelabour, goods and money market, and the production function. Determine the equilibriumeffects of these two shocks occurring simultaneously on employment, output, consumption,investment, money, real wages, the real interest rate, and the price level. Provide a detailedeconomic analysis explaining your results with the aid of the diagrams.