3. Assume that production function is Cobb- Douglas type, namely Yi = zika i N 1-a i (1) where i = 0, 1 indicates the two periods of the model. Derive the formula for the investment demand given the model parameters and other endogenous variables, like real wage and employment. Calculate al ad. How does the depreciation rate influence investment? Explain
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- What are the equilibrium effects of an increase in the depreciation rate? Explain using the two period model with consumption - saving as well as labor - leisure choice. Note:- Please avoid using ChatGPT and refrain from providing handwritten solutions; otherwise, I will definitely give a downvote. Also, be mindful of plagiarism. Answer completely and accurate answer. Rest assured, you will receive an upvote if the answer is accurate.16 100% 3 7 4 Consider the economic model: Yt Ct + it Ct myt-1 act-1 where y is GDP, c is consumption, i is investment, m and a are multipliers. (i) Write down a difference equation for y (ii) Find the condition under which the steady state exists, and find the steady state solution (iii) Find the condition under which the system converges to the steady state (iv) Find the condition under which y will show sinusoidal (cyclical) pattern (This occurs when the roots of the characteristic equation are complex "6²-4ac < 0") ERMT Problem Paper 01 28°C Light rain || || 3 hpConsider the two-period model. The consumerís preferences over current and future consumption (c and c 0 ) are: REFER TO IMAGE FOR NEXT STEP (a) Find lifetime wealth, we. (b) Set up the Lagrangian and FINDd the optimal levels of current consumption (c), future consumption (c') and saving (y-t-c) c) Confirm that the allocation you found in part (b) is in fact optimal, by completing the following table. refer to second image
- You work for the International Monetary Fund in Washington DC, mon- itoring Singapore's real consumption expenditures. Using a sample of quarterly real consumption data (measured in billions of 2005 Singapore dollars), Yt, t = 1990.1, 2006.4, you estimate the linear consumption .... trend model, Yt = Bo + B1TIME + Et, where & ~ iidN(0, o²), obtain- ing the estimates Bo = 0.51, B1 2.30, and ô? 16. Based upon your estimated trend model, construct feasible point, interval and density forecasts for 2010.1. a Find the exact value of the point forecast 2010.01. b Provide the distribution of the density forecast at 2010.01. c Provide interval forecasts for 68% and 90% confidence levels.) Consider the following closed economy SImodel set upY = 18000C = 300 + 0.8(Y − 2500)I = 3500 − 400(r)G = 3000T = 2500(a) Compute the impact on r and I, if Gincreases by 500.(b) Compute the impact on r and I, if Gincreases by 500.(c) Compute the impact on r and I, if bothG and T increase by 500.3 Jlgw ?Provide 2 situations why diminishing return could happen in Alba
- (1)The following macroeconomic model describes the economy of CSILAND. Y = C +1+ G + NX.... C = 220 + 0.60 Y.... | = 1000 - 200OR... G = . NX = 525 - 0.10Y - 500R... . (1) .(2) .(3) ..(4) (5) %3D %3D %3D Go....... %3D %3D (a)Write the expression for equilibrium real output, Y. (b)Suppose real interest is 10% and government spending is 1200, determine the value of equilibrium real output. (c)For this economy, find the level of consumption (C), investment (I), and net export (NX). (d)ls there evidence of a twin deficit in CSILAND given that tax revenue is 15% of aggregate real output? Explain.The permanent income hypothesis is consitent with cross-section and time-series data because a. higer-income households are savers, since their current income includes positive transistory conponents. O b. higer-income households are savers, since their current income includes negative transistory conponents. c. lower-income households are dissavers, since their current income includes positive transistory components. O d. lower-income households are savers, since their current income includes negative transistory conponents.3:35 PM O ll al a 59 % f H.W2.pdf Sx. The mantaly conumpthie Values for rice are Use below:- July Sept. Oct. Nov. June Aug. 28.65 7.85 13.45 21.60 24.30 14.70 Cm Cm Cm Cm Cm Determin the seasonal The consumptive use, The average montaly Consumptive use and average dzily comsumptive use, the beak monthly consumptive use.
- Assume there are only two producing sector Y & Z in an economy. Calculatea) Gross value added at market price by each sector b) National income from the followings:Items Amount in CroresNet factor income from abroad- 20Sales by Y= 1000Sales by Z= 2000Change in stock of Z= -200C Closingstock of Y= 50 Opening stock of Y= 100Consumption of fixed capital by Y & Z= 180Indirect taxes paid by Y & Z= 120Purchase of raw material by Y= 500Purchase of raw material by Z= 600Exports by Z= 70(1)The following macroeconomic model describes the economy of Sunderland. 1. Y= C +I + G + NX 2. C = 220 + 0.63 Y 3. 1 = 1000- 2000R 4. G = Go 5. NX = 525-0.10Y-50OR 6. M (0.1583Y-1000R)P (a)ls it a fair characterization to refer to equation #2 as a "simple" consumption function? Explain. (b)Derive the expression for equilibrium real output, Y, for this economy. Note: In your final expression for Y, restrict coefficient values to three decimal points. (c) Suppose government spending is 1200 , money supply by the Central Bank is 900 and the price level is 1, find the value of GDP (Y) and equilibrium interest rate (R) for Sunderland. Income Identity Consumption function Investment function Government Expenditure Net export function Money market equilibrium (2)The questions in this section are related to the macroeconomic model of Sunderland. (a)The expression you are asked to derive in question #1b can be considered an aggregate demand curve. Do you agree? Explain your answer. (b)Sketch…1) In the IS equation why wasnt G in the calculations. 2)Suppose that with all exogenous variables, including T and M at their original values, households become less confident about the future and reduce their autonomous level of consumption from 200 to 150. Solve for the new values of e, Y and NX. With the help of graphs, explain very carefully the mechanisms by which a new equilibrium is reached. 3)Suppose that with all exogenous variables at their original values, the autonomous part of money demand increases to 70. Solve for the new values of e, Y and NX. With the help of graphs, explain very carefully the mechanisms by which a new equilibrium is reached.