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Given the following information for a closed economy: Consumption function C = 60 + 0.8Yd, Investment I = 200, Government spending G = 400, Income tax T = 0.5Y. Calculate the equilibrium level of nati
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2 partsStep-by-step solution
14 stepsPart a
The statistics include consumption, investment, government spending, and income tax, but no mention of exports or imports initially. This implies a **closed economy with a government sector
Part b
To calculate the equilibrium level of national income, we use the aggregate expenditure formula .
Express disposable income () in terms of national income ().
Given :
Substitute into the consumption function ().
Substitute the expressions for , , and into the equilibrium equation.
Solve for .
The equilibrium level of national income is .
Part c
When exports and imports are introduced, the new equilibrium condition is .
Identify the new components.
Exports () = 300
Imports () =
From part b, , , .Substitute all components into the new equilibrium equation.
Combine constant terms and terms with .
Solve for .
The new equilibrium level of national income is .
d) The value of the multiplier in (c) can be found from the equilibrium equation . In part (c), we had , which simplifies to . The multiplier is .
Identify the components affecting the multiplier.
Marginal Propensity to Consume (MPC) = 0.8 (from )
Marginal Tax Rate () = 0.5 (from )
Marginal Propensity to Import (MPM) = 0.2 (from )Apply the multiplier formula for an open economy with government and proportional tax.
The value of the multiplier is .
Part e(i)· 2 steps
Balance of payment situation
To determine the country's balance of payment and budget situation, we use the equilibrium income from part (c), which is .
Calculate Exports () and Imports () at equilibrium.
Calculate Net Exports ().
Since , the country has a balance of payments surplus of 60 million francs CFA.
Part e(ii)· 2 steps
Budget situation
Calculate Government Spending () and Tax Revenue () at equilibrium.
Calculate the Budget Balance ().
Since , the country has a budget surplus of 200 million francs CFA.
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