1. Suppose the households in a hypothetical economy has the following consumption function C= a + cYd. Where is the disposable income. The government in this economy imposes a tax rate of to households’ income (ex. A means that 10% of households’ income goes to tax payments). a. What is the equation that describes the disposable income of households?b. What is the Planned Expenditure Equation? Assume that government expenditure is exogenous and Investment function is given by the equationI = I-brWhere is the interest rate.c. Derive the equilibrium output in the goods market and show that the multiplier in this model is 1/1c(1-t).d. How does and the tax rate affects this multiplier (e.g., what happens to multiplier if c increases cet.par. , or if tax rate increases, cet.par)? 1. Suppose the households in a hypothetical economy has the following consumption functionC = a + cyaWhere Ya is the disposable income. The government in this economy imposes a tax rate of0 < t < 1 to households' income (ex. A t = 0.10 means that 10% of households' income goesto tax payments).a. What is the equation that describes the disposable income Ya of households?b. What is the planned Expenditure Equation? Assume that government expenditure isexogenous and Investment function is given by the equation1 = 1 - brWhere r is the interest rate.c. Derive the equilibrium output Y* in the goods market and show that the multiplier in thismodel is ₁-1-t)1-c(1-t)*d. How does c and the tax rate t affects this multiplier (e.g., what happens to multiplier if cincreases cet.par or if tax rate increases, cet.par)?

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ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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1. Suppose the households in a hypothetical economy has the following consumption function C= a + cY_d.

Where is the disposable income. The government in this economy imposes a tax rate of to households’ income (ex. A means that 10% of households’ income goes to tax payments).

a. What is the equation that describes the disposable income of households?

b. What is the Planned Expenditure Equation? Assume that government expenditure is exogenous and Investment function is given by the equation

I = I-br

Where is the interest rate.

c. Derive the equilibrium output in the goods market and show that the multiplier in this model is 1/1c(1-t).

d. How does and the tax rate affects this multiplier (e.g., what happens to multiplier if c increases cet.par. , or if tax rate increases, cet.par)?

1. Suppose the households in a hypothetical economy has the following consumption function
C = a + cya
Where Ya is the disposable income. The government in this economy imposes a tax rate of
0 < t < 1 to households' income (ex. A t = 0.10 means that 10% of households' income goes
to tax payments).
a. What is the equation that describes the disposable income Ya of households?
b. What is the planned Expenditure Equation? Assume that government expenditure is
exogenous and Investment function is given by the equation
1 = 1 - br
Where r is the interest rate.
c. Derive the equilibrium output Y* in the goods market and show that the multiplier in this
model is ₁-1-t)
1-c(1-t)*
d. How does c and the tax rate t affects this multiplier (e.g., what happens to multiplier if c
increases cet.par or if tax rate increases, cet.par)?

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