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- Course: Macroeconomic - IS-LM Model Prove mathematically the following: Given an increase in the proportional tax on income(t), what happens to the level of output and to the tax?" . Hint: for demostration, use the IS general function for a closed economy Y = C + I + G, where C = a + c*YD and YD = Y + TR - Y*t (where t = proportional income tax) and realize changes i.e., from "t1" to "t2"Suppose we are in an economy with rich households and poor households. Rich and poor households have different consumption functions, with Cpoor = 100 + 35(Y poor − Tpoor) Crich = 100 + 15(Y rich − Trich) where Y rich, Y poor are the incomes of rich and poor households and T rich, T poor are the taxes faced by rich and poor households. We also have I = 200,G = 100, T = T poor + T rich = 100. Closing out the model, Y = C + I + G = Cpoor + Crich + I + G a Suppose that Y poor = Y rich Y2 (in other words, the total income of poor households is equal to total income of rich households.) Supposing further that T rich = T poor = 50, calculate equilibrium output Y . b Now suppose that Trich = 40,Tpoor = 60. What is equilibrium output now? c How can the government increase output without changing the deficit (hint: think about the difference between output in b and output in c.) d Now assume that T rich = 40, T poor = 60, but instead of output being split equally between rich and poor…Given: C = 250 + 0.8 Y I = 150 G = 300 TR = 100 NX = 100 t =0.25 i) Find the equilibrium level of income. ii) Suppose, because of current COVID-19 situation C falls to 50, MPS falls to .05, I falls to 10, G falls to 100 and NX falls to 10. How much TR should the government increase to have the same level of equilibrium income as in part i)? iii) In determining the required change in TR in part ii), which multiplier did you use and why? (Hint: keep in mind the consumption tendency households may have under the COVID 19 situation in selecting the multiplier). iv) Draw a graph to show the appropriate changes between part i) and part ii). v) Give an example related to current Bangladeshi situation where the government may follow a 'Transfer Promoting Policy' instead of a 'Growth Promoting Policy' in determining who gets the transfer payment. vi) Instead of paying transfer (TR) if the government were to increase government spending (G), what type of crowding out would you expect? Briefly…
- Consider the two-period endowment model discussed in class where theeconomy is populated by m consumers and a government. The agents derive utilityfrom consumption in current and future period. The utility is well behaved. Supposethat the government, instead of borrowing in the current period, runs a governmentloan program. That is, loans are made to consumers at the market real interest rater, with the aggregate quantity of loans made in the current period denoted by L.Government loans are financed by lump-sum taxes on consumers in the current period(denoted by T), and we assume that government spending is zero in the current andfuture periods (i.e., G = G0 = 0). In the future period, when the government loansare repaid by consumers, the government rebates this amount as lump-sum transfers(negative taxes) to consumers. Hence, if we call T r0the lump sum transfers in thefuture period, then T r0 = −T0 > 0.(a) Write down the government’s current period budget constraint andits future…Question Two a. Explain the difference between a binding and non-binding borrowing constraints and thetwo consumption functions that result.b. From the Intertemporal Choice Model, many theories (non-Keynesian theories ofConsumption) came into being. Using graphical and mathematical expressions, compareand contrast the following theories on consumption behaviours:i. Franco Modigliani: Life-Cycle Hypothesisii. Milton Friedman: Permanent-Income Hypothesisiii. Robert Hall: Random Walk Hypothesis1Why 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…
- 1. (50 points) Consider the two-period endowment model discussed in class where theeconomy is populated by m consumers and a government. The agents derive utilityfrom consumption in current and future period. The utility is well behaved. Supposethat the government, instead of borrowing in the current period, runs a governmentloan program. That is, loans are made to consumers at the market real interest rater, with the aggregate quantity of loans made in the current period denoted by L.Government loans are financed by lump-sum taxes on consumers in the current period(denoted by T), and we assume that government spending is zero in the current andfuture periods (i.e., G = G0 = 0). In the future period, when the government loansare repaid by consumers, the government rebates this amount as lump-sum transfers(negative taxes) to consumers. Hence, if we call T r0the lump sum transfers in thefuture period, then T r0 = −T0 > 0.(a) (10 points) Write down the government’s current period…Equal increases in government spending andtaxes willa. cancel each other out so that the equilibriumlevel of real GDP remains unchanged.b. lead to an equal decrease in the equilibriumlevel of real GDP.c. lead to an equal increase in the equilibriumlevel of real GDP.d. lead to an increase in the equilibrium levelof real GDP output that is larger than theinitial change in government spendingand taxes.Q3: Consider the national income model: Y = C + I0 + G0 + (X0 − M)............. (1) C = a + byd, (a > 0,0 < b < 1)....... (2) Yd = Y − T..................................... (3) T = T0 + ty.................................... (4) M = M0 + my................................ (5) Where: (T) = taxes, (t) = income tax rate Identify: 1/ Endogenous variable(s). 2/Exogenous variable(s). 3/ Conditional equation. 4/Behavioral equations. 5/ Definitionalequation. 6/ Constants., give the Economic meaning of them. 7/ Coefficients. give the Economic meaning of them.
- in a closed economy with no government, where aggregate demand is determinedby autonomous consumption, investment (which is independent of output), and themarginal propensity to consume.a) Given that autonomous consumption is 20, investment is also 20, and the marginalpropensity to consume is 0.6, write out an equation for aggregate demand (AD) in thiseconomy. b) Given this aggregate demand equation, and the equilibrium equation Y = AD, usealgebra to find the equilibrium level of Y. c) Draw a diagram with output (Y) on the x-axis and aggregate demand (AD) on the yaxis. Draw two lines on this diagram: (i) Y = AD, and (ii) the aggregate demandfunction from part (a). Label the intercept of the AD line, and the point where the twolines intersect, with numerical values. (3 marks)d) Suppose that the marginal propensity to consume falls from 0.6 to 0.5. What wouldthe new equilibrium level of Y be? Illustrate your answer in the diagram you drew forpart (c). (2 marks)e) Calculate the value of…Elaborate on the difference between a binding and non-binding borrowing constraints and thetwo consumption functions that result.b. From the Intertemporal Choice Model, many theories (non-Keynesian theories ofConsumption) came into being. Using graphical and mathematical expressions, compareand contrast the following theories on consumption behaviours:i. Franco Modigliani: Life-Cycle Hypothesisii. Milton Friedman: Permanent-Income Hypothesisiii. Robert Hall: Random Walk HypothesisIn our construction of the savings and investment model, weconsidered government spending to be immediate spending. In otherwords, there was no “investment” component to government spending.Let’s change up that assumption. Suppose government spending comesin two types: investment spending (new airports, for example) aswell as government consumption (snow plowing, for example). Callthe first GI and the second GCE.