The following equations describe the economy.
• C = 100+ 0.8 Y
• I = 200- 1000 i
• L = Y – 10000 i
Initially, government expenditure is $550, and taxes are $500. The real money supply equals
$900.
a. Derive the formulas for the IS curve and LM curve. (4pts)
b. What are the initial levels of GDP, the interest rate, consumption, and investment?
Owing to a drop in investor confidence, the autonomous component of investment drops
by 90. (2pts)
c. By how much do income, the interest rate, and investment drop? (3pts)
d. By how much should the money supply be changed in order to return GDP to its original
level? What will the new interest rate be? (3pts)
e. Draw three graphs to illustrate the equilibria in b, c, and d. (6pts)
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IS/LM: Use the same setup as #1, but now Investment spending is a function of the real interest rate: I = 10000 – 50000r. Government purchase are now $1200b (makes for nicer numbers). Money demand in the economy is MD= (0.01Y – 800r)P + o. Assume the current money supply is $1400b, the price level/CPI is 100, and there are no money demand shocks to worry about (o = 0). a) Derive the IS curve and the LM curve for...
Just e) f) and g) if possible please Question 5: The IS-LM model Consider the following IS-LM model: Consumption: C = 200 +0.25YD Investment: I=150 + 0.25Y - 10001 Government spending: G=250 Taxes: T=200 Money demand: L(i,Y)-2Y - 8000 Money supply: Ms /P=1600 (a) Derive the equation for the IS curve. (Hint: You want an equation with Y on the lefthand side and all else on the right) (b) Derive the equation for the LM curve. (Hint: It will be...
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Consider the following IS-LM model. Starting from an equilibrium at interest rate rz and income Y2, if there is an increase in government spending that shifts the IS curve to IS2, then in order to keep the interest rate constant: LM Interest rate, r LM LM 12 1'3 14 IS2 IS Y Y2 Y; YA Income, output, Y Select one: a. The Federal Reserve should increase the money supply O b. Cannot determine from the available information. c. The Federal...
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