Question

In: Economics

1. *Suppose that the economy is described by: Y =C(Y,T)+I(Y,i)+G, with G, T exogenous. (a) Use...

1. *Suppose that the economy is described by: Y =C(Y,T)+I(Y,i)+G, with G, T exogenous.

(a) Use the total derivative to derive di/dY

(b) What is the sign of this derivative?

(c) What does the slope of the line depend on? Explain the intuition.

(d) Graph this curve.

(e) Use the total derivative to find dY/dG and dY/dT

Solutions

Expert Solution


Related Solutions

Consider an economy described by the following equations: Y=C+I+G+NX, Y=8,000 G=2,500 T=2,000 C=500 + 0.75(Y−T) I=900−50r...
Consider an economy described by the following equations: Y=C+I+G+NX, Y=8,000 G=2,500 T=2,000 C=500 + 0.75(Y−T) I=900−50r NX=1,500−250ϵ r=r∗=8. In this economy, solve for private saving, public saving, national saving, investment, the trade balance, and the equilibrium exchange rate. Suppose now that G is cut to 2,000. Solve for private saving, public saving, national saving, investment, the trade balance, and the equilibrium exchange rate. Explain what you find. Now suppose that the world interest rate falls from 8 to 3 percent....
Consider an economy described by the following equations: Y=C+I+G+NX, Y=8,000 G=2,500 T=2,000 C=500 + 0.75(Y−T) I=900−50r...
Consider an economy described by the following equations: Y=C+I+G+NX, Y=8,000 G=2,500 T=2,000 C=500 + 0.75(Y−T) I=900−50r NX=1,500−250ϵ r=r∗=8. a. In this economy, solve for private saving, public saving, national saving, investment, the trade balance, and the equilibrium exchange rate. b. Suppose now that G is cut to 2,000. Solve for private saving, public saving, national saving, investment, the trade balance, and the equilibrium exchange rate. Explain what you find. c. Now suppose that the world interest rate falls from 8...
Given the following economy: Y = C(Y - T) + I(r) + G C(Y - T)...
Given the following economy: Y = C(Y - T) + I(r) + G C(Y - T) = a + b(Y - T) I(r) = c - dr M/P = L(r,Y) L(r,Y) = eY - fr i. Solve for Y as a function of r, the exogenous variables G and T, and the model's parameters a, b, c, and d. ii. Solve for r as a function of Y, M, P, and the parameters e and f. iii. Derive the aggregate...
Consider an economy described by the following equations: Y = C + I + G Y...
Consider an economy described by the following equations: Y = C + I + G Y = 5000 G = 1000 T = 1000 C = 250 + .75 (Y - T) I = 1000 - 50r a. In this economy, compute private saving, public saving, and national saving b. Find the equilibrium interest rate c. Now suppose that G rises to 1250. Compute private saving, public saving, and national saving d. Find the new equilibrium interest rate.
Consider an economy described by the following equations: Y = C + I + G +...
Consider an economy described by the following equations: Y = C + I + G + NX Y = 8,100 G = 2,300 T = 2,100 C = 500 + 2/3 (Y – T) I = 900 – 50r NX = 1,500 – 250e r = r* = 8. a. (4 points) In this economy, solve for private saving, public saving, national saving, investment, the trade balance, and the equilibrium exchange rate. b. (3 points) Suppose now that G is...
Consider an economy described by the following equations: Y =C+I+G+NX, Y =5,000, G = 1, 000,...
Consider an economy described by the following equations: Y =C+I+G+NX, Y =5,000, G = 1, 000, T = 1, 000, C =250+0.75(Y −T), I = 1, 000 − 50r, NX = 500 − 500ε, r = r∗ = 5 (a) In this economy, solve for national savings, investment, the trade balance, and the equilibrium exchange rate. (b) Suppose that G rises to 1,250. Solve for national saving, investment, the trade balance, and the equilibrium exchange rate. Explain what you find....
Consider an economy described by the following equations Y = C + I + G Y=4,000...
Consider an economy described by the following equations Y = C + I + G Y=4,000 G= 1,000 T=800 C =400 + 0.75(Y–T) I = 1,000–50r(a) For this economy, compute the following [1.5 Points each; 6 Points total]1. Private Savings2. Public Savings3. National Savings4. Equilibrium interest rate (b) Is this economy running a budget surplus, budget deficit or a balanced budget? Explain. [2 Points] (c) Suppose that Congress decides to reduce government spending. The new level of government spending is...
Suppose an economy is described by the following relationships: C = a + b(Y-T). Consumption, C,...
Suppose an economy is described by the following relationships: C = a + b(Y-T). Consumption, C, is a function of disposable (i.e., after-tax) income, (Y -T). The terms a and b are parameters. I = c – dR where I is the investment and R is the rate of interest. The terms c and d are parameters. NX = m - ne where I is the net exports and e is the real exchange rate. The terms m and n...
Suppose that the following equations describe an economy (C,I,G,T, and Y are measured in billions of...
Suppose that the following equations describe an economy (C,I,G,T, and Y are measured in billions of dollars, and r is measured as a percent; for example, r = 10 = 10%): C = 170+.6(Y-T) T = 200 I = 100-4r G = 350 (M/P)d= L = .75Y – 6r Ms/P = M/P = 735 a.   Derive the equation for the IS curve and explain all your work. (Hint: It is easier to solve for Y here.) b.   Derive the equation...
Consider a classical economy described by the following equations Y = C + I + G...
Consider a classical economy described by the following equations Y = C + I + G Y = 6000 G = 1200 T = 0 C = 3600 – 2000 r + 0.1 Y I = 1200 – 4000 r a. Develop an equation relating national savings to r and y. (Hint solve for private savings and then public savings) b. Find the real rates interest that clears the good market. c. Suppose government produces rises to 1440. How does...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT