9. Investment and income This problem examines the implications of allowing investment to depend on output. Chapter 5 carries this analysis much further and introduces an essential relation-the effect of the interest rate on investment-not examined in this problem. a. Suppose the economy is characterized by the following behavioral equations: C=C₁ + C₁YD YD=Y-T 1= b+b₁Y Government spending and taxes are constant. Note that investment now increases with output. (Chapter 5 discusses the reasons for this relation.) Solve for equilibrium output. b. What is the value of the multiplier? How does the relation between investment and output affect the value of the multiplier? For the multiplier to be positive, what condition must (c₁ + b₁) satisfy? Explain your answers. c. What would happen if (c + b₁)>rl? (Trick question. Think about what happens in each round of spending).

6) Suppose the economy is closed and is characterized by the following behavioral equations: C=C₁+C₁YD Y₁ = Y-T I=b₁ + b₂Y a. Government spending and taxes are constant. Solve for the equilibrium output. What is the value of the multiplier? How does the relationship between investment and output affect the value of the multiplier as compared to the case when investment was exogenous? For the multiplier to be positive what condition must (c₁ +b₁ ) satisfy? Explain your answers? b. Suppose that the parameter bo, sometimes called business confidence, increases. How will the equilibrium output be affected? Will investment change by more or less than the change in bo? Why? What will happen to national saving?

E2

12

I need all parts answered and explained, thank you.

I need all parts answered and explained, thank you. This is practice, for my own under

explain step by step, how is it like to graph?

Please provide an explanation if possible

a) Solve for equilibrium output in terms of the exogenous variables. b) What is the multiplier? Is the multiplier higher whent1is 0 or whent1is positive? Note)t1= 0is the same as the baseline case we covered in class when taxes are exogenous. c) Supposec0increases by $300 m. What is the change in equilibrium Y when c1= 0.5 and t1= 0.2. What about whenc1= 0.5 and t1= 0?

4. Laffer Curve In the 1980s, President Reagan based his tax and spending policies on supply side economics. The idea behind supply side economics is the marginal tax rate is so high it discourages work. Cutting the tax rate would end up increasing tax revenue. We develop a simple model of this idea to determine the restrictions on the utility function required to generate a Laffer curve. Let 7 denote the tax rate, w the real wage rate, and n the labor supply. The tax revenue is T = wnT where wn is labor income, which is the tax base. For convenience, assume w is constant. There is no reason for this assumption to be true, but we impose it to focus on the restrictions on the utility function to generate the Laffer curve. As the tax rate T increases, workers substitute toward leisure and away from consumption. Hence as 7 rises, wn falls and tax revenue falls for high enough tax rates. Let U, V satisfy the standard assumptions. The model is static and households are endowed with one unit…