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- Consider following IS-LM model: C = 200 + 0.25 · YD I = 150 + 0. 25 · Y – 1, 000 · i G = 250 T = 200 D M = 2 · Y – 8, 000 · i M = 1,600 P e) Solve for the equilibrium values of C and I! f) Solve for the equilibrium values of Y, i, C and I, if the money suppl increases to 1,840! g) Solve for the equilibrium values of Y, i, C and I, if government spending increases to 400 (the money supply is 1,600)!Sunshine is a small open economy described by the following long-run classical equations where Y is the economy's real GDP, T-taxes, G-government spending, NX-net exports, l-investment, C-consumption, r-domestic interest rates, r* - world interest rates. Y = 4000 G = 1250 T = 1000 C = 250 + 2/3 (Y-T) I = 450 - 25r NX = 1250 - 175epsilon r =r^ * =4 a) Required: Select the appropriate answer that represent [i] investment, [ii] national savings, [iii] equilibrium exchange rate and [iv] trade balance. b) Suppose the government of sunshine cut its spending to 2,000. Required: Select the appropriate answer that represent [i] investment, [ii] national savings, [iii] equilibrium exchange rate and [iv] trade balance. c) Now suppose the world interest rate falls from 8 to 3 percent, (G is again 2000). Required: Select the appropriate answer that represent [i] private savings, [ii] public savings, [ii] national savings, [iv] investment, [v] trade balance and [vi]…Question a) Consider that the Ghanaian economy is a Small and close, which ischaracterised by the following.AD=C+I+G+NXC=a+bY*Y*=disposalincomeT=T 0I=I 0G=G0Md/P=Ld(Y,i)Ms=money supply, which is given.AD=Aggregate demand, C=consumption, G=Government expenditure, T=Tax, P= Price level, I=Investment, NX=Net exports i)Suppose the policy change is rather an increase in real money supply not a decrease in government spending. What is the effect of this policy on consumption in the Short Run? (Provide a brief explanation). ii)If the government of Ghana decided to run a balance budget, provide an expression for the balance budget multiplier. iii)What is the effect of the balance budget policy in (e) above on out put (y)? iv)Dorcas is given Ghs10,000.00 to pay for her school fees next semester. Shedecided to deposit Ghs600.00 in her ADB account and the rest in a differentbank. Assume that the require reserve ratio for ADB is15% and 13% for theother bank,determinethe amount of supply in the…
- Consider a macroeconomic model for an open economy with the government. Consumption is given by C = 250 + bYd, where b = 0.8, Yd = (1-t)Y, and t = 0.1. Investment is given by I = 1,200 – 2,000R, and net export is given by X = 525 – 0.1Y – 500R. Assume that G = 1,200. Money demand is given by (Md/P) = 0.1283Y – 1,000R. Assume that P = 1, and the fixed money supply is given by (Ms/P) = 900. Drive the expression for the IS curve from the model. Drive the expression for the LM curve from the model. Drive the IS-LM equilibrium from the model.In a small closed economy, its aggregate demand and output are given as the equations below, Y = C + I + G; national output or GDP. C = 100 + 0.5(Y-T); consumption, marginal propensity to consume MPC = 0.5. I = 150 – 10*r; investment is a negative function of real interest rate (r as %). (M/P)d = Y – 20*r; real money demand which is adjusted by price level (inflation). G = 200; as government spending. T = 200; as tax. M = 2,400; as money supply. P = 4; the price level. (1) With the equations above, try to derive the IS curve. Tip: recall IS curve represent the relation between national output (Y) and real interest rate (r) in goods market. To derive IS curve, you need to put all components of Y together and find its connection with r. (2) Use the same equations, now try to derive the LM curve. Tip: recall LM curve represent the relation between national output (Y) and real interest rate (r) in money market. So to derive LM curve, you need to consider money supply and demand.…QUESTION 5Imagine the following simple Keynesian macroeconomic model for a closed economy.TD = C + Ip + G (total demand)C = C0 + YD (aggregate household consumption)YD = Y − T (aggregate household disposable income)Ip = I0 + aY − bR (aggregate planned investment)Y = TD (output, equilibrium condition)BB = T – G (government budget balance)With:G government consumption, T taxes, R real interest rate (exogenous variables)C0) and I0 autonomous consumption and investment0 < a, c, a+c < 1, b > 0 constant parametersDerive the equation for output and answer the following question. If the government in this model simultaneously increases its consumption G and its taxes T by the same amount, then: total demand decreases, and equilibrium output declines. total demand decreases, and equilibrium output declines, but only if C > G. total demand increases, and equilibrium output rises. The rise of output is stronger the higher the households’ marginal propensity to consume. total demand…
- Starting from general equilibrium, what would be the long-run effects of a simultaneous reduction in government purchases (G↓) and increase in the money supply (M↑) designed to leave real GDP the same on each of the following economic variables? For each, you should write one of the following responses: Up (U), Down (D), orSame (S) The real interest rate (r) Investment (I) Consumption (C) The price level (P) Budget deficit (G – T) Future standard of living (i.e., future per capita consumption)Consider a frugal closed economy without money market. Assume there is no government or exports/imports. The economy is described by the following set of equations. C =1000+0.5⋅Y ID = 600 1. What is the marginal propensity to save of this economy? a) 0.4 b) 0.5 c) 0.1 d) 0.3 e) 0.2 Currently, the economy is saving a half of the amount it consumes. The level of unplanned inventory change is [0, 600, 200, 1400 , 2000 ] and the economy is [equilllibrium or not at equillibrium,]IS-LM model is defined via seven equations given below: C=15+0.8(Y-T) T= -25+0.25Y I=65-R G=94 X=50-10-0.1Y L=5Y-50R M=1500 C: Consumption, Y: Income, T: Tax, I: Investment, R: Interest Rate, G: Government Expenditure, X: Net Exports, L: Money Demand and M: Money Supply. Solve this system for Y and R in the matrix format by reducing it to IS and LM equations. Calculate government and trade deficits. Note that IS-LM structure is based on Y and R.
- Starting from general equilibrium, what would be the long-run effects of a simultaneous reduction in government purchases (G↓) and increase in the money supply (M↑) designed to leave real GDP the same on each of the following economic variables? For each, you should write one of the following responses: Up (U), Down (D), orSame (S) The real interest rate (r) Investment (I) Consumption (C) The price level (P) Budget deficit (G – T)In the New Keynesian model, suppose that in the short run the central bank cannot observe aggregate output or the shocks that hit the economy. However, the central bank would like to come as close as possible to economic efficiency. That is, ideally the central bank would like the output gap to be zero. Suppose initially that the economy is in equilibrium with a zero-output gap. (a) Suppose that there is a shift in money demand. That is, the quantity of money demanded increases for each interest rate and level of real income. How well does the central bank perform in relative to its goal? Explain using diagrams. (b) Suppose that firms expect total factor productivity to increase in the future. Repeat part (a). (c) Suppose that total factor productivity increases in the current period. Repeat part (a). (d) Explain any differences in your results in parts (a)–(c) and explain what this implies about the wisdom of following an interest rate rule for the central bank. Problem 6 assumes that…Assume the following IS-LM model: expenditure sector: money sector: AD = C + I + G + NX I = 300 - 20i M = 700 C = 100 + (4/5)YD G = 120 P = 2 YD = Y - TA NX = -20 md = (1/3)Y + 200 - 10i TA = (1/4)Y a. Derive the equilibrium values of consumption (C) and money demand (md). b. How much investment (I) will be crowded out if the government increases its purchases by DG = 160 and nominal money supply (M) remains unchanged? c. By how much will the equilibrium level of income (Y) and the interest rate (i) change, if the Fed responds to this increase in government purchases by increasing nominal money supply to M' = 1,100?