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- 10.14 Total economic output in three years. The n - vector xt denotes the economic output of a country in n different sectors, in yeart. An economist models the economic output using a linear dynamical system model xt+1 = Axt, where A is an n \times n matrix. Assuming her model is correct, find an expression for the total economic output in yeart + 3, in terms of xt and A. (The total economic output is the sum of the economic output in the n sectors.)(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)Consider an economy for which y = Akº with the parameter values as listed: A=3.7, s=0.4, n=0.2, d=0.3.0-0.3. Compute and report the steady state value of y. y=
- Consider the two-sector macroeconomic model of a fictitious country: dy dt C = 0.5 Y + 540 I = 425 Where C = consumption; I = investment and Y = national income. = 0.034(C+I - 0.6 Y) Determine the following: (a) If Y(0) = 14,000, find an expression for Y (t) by solving the differential equation. (b) Find the time taken for income to fall to 13,000. (c) Is the system stable or unstable? Explain your answer.A closed economy which is shown below, endogenous variables are Y, I, C, i and exogenous variables are Go and Mo and parameters are a,b,t,d,e, k. Y= C+l+G C= a+ b(1-t)Y |= d-ei G= Go Md= Ms Ma= ky-li Ms=Mo Calculate the equlibrium level of I by using inverse matrix rule.See Figure 2.2 and examine the model. Unlike other circular flow models, this model is missing another sector/s. what is the missing sector?
- (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)?Assume a model economy with the following parameters: C= 100+0.25Yd I=100+0.5Y-3000i G=125 T=100 (M/P)d= 6Y-24000i (M/P)s=4500 Derive the IS and LM relationRead the following extract and answer questions?South Africa’s economy grew by 1.1% in the first quarter of the year Stats SA has published the latest gross domestic product (GDP) data covering the first quarter of the year, showing that the economy grew by 1.1% in the first three months of 2021.The growth follows a revised 1.4% rise in real GDP in the fourth quarter of 2020. On an annualised basis, theeconomy grew 4.6% quarter-on-quarter. Following confusion caused by the annualisation of GDP data in 2020 – amid the Covid-19 pandemic andresulting lockdowns – Stats SA said it would no longer use the annualised data as the headline GDP statistic. During periods of steady economic growth, annualising is a useful way of expressing quarter-on-quarterperformance in annual terms, Stats SA said. However, during periods of economic instability, annualising can be misleading, because it exaggerates growth rates that are unlikely to be repeated. Given the information about the South African…
- The reduced form of a macroeconomic model is Y = b+I+G-aT where I and T* denote the 1-a constant values of investment and taxation respectively. If I = 300, G = 100, T300, a = 0.8, and b =50 work out the [answer nearest integer values] (a) current level of national income, Y. (b) values of the investment multiplier (c) rise in national income due to a 3.0 unit decrease in taxation is (d) The value of the taxation multiplier isplease type the answer by computer if you can, so i can see it clearly, thank you!!! Consider the following version of the Solow model:Economics Consider the following estimated model based on quarterly data of Australian manufacturing exports from January 2015 to December 2019. EXP: = -5.38+0.191Y, + 0.0216FDI_+2.61t t-1 Where EXP, Y and FDI represent manufacturing exports (in thousand dollars), output (in thousand dollars) and foreign direct investment (in thousand dollars), respectively. The following is an excerpt of the actual data. What is the predicted exports in the fourth quarter of 2015? Period Y FDI Third quarter of 2015 57234 344 Fourth quarter of 2015 60031 385 Question 13 options: A11478.41 thousand dollars. B11525.50 thousand dollars. C1151.92 thousand dollars. D11520.17 thousand dollars.