ECO100Y1 Lecture Notes - Lecture 15: Parsec, Tax Rate

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18 Jan 2018

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Autonomous expenditure varies independent of y [where y = national income/output] Induced expenditure varies due to changes in y. New intercept of ae schedule (see previous diagram) The multiplier: concept: y = multiplier * auto(cid:374)o(cid:373)ous e(cid:454)pe(cid:374)diture. The multiplier: value: slope of ae schedule. Observation: in this model, slope of ae schedule is mpc, so multiplier is 1/(1-mpc) simple model only. Lecture: where z is (cid:862)(cid:373)argi(cid:374)al prope(cid:374)sit(cid:455) to spe(cid:374)d out of national income(cid:863) z. Y where (cid:373)p(cid:272) is (cid:862)(cid:373)argi(cid:374)al prope(cid:374)sit(cid:455) to (cid:272)o(cid:374)su(cid:373)e out of households" disposa(cid:271)le. Multiplier= income(cid:863: simple model, mpc=z (cid:373)p(cid:272) z for e(cid:454)te(cid:374)ded (cid:373)odel. If mps increases from 0. 1 to 0. 2, then mpc falls from 0. 9 to 0. 8: multiplier= Induced consumption spending = (cid:373)p(cid:272)* y: mpc , induced consumption spending at each round , so income/output [=induced consumption spending] . At each round, the amount of induced consumption spending is less than before and, hence, the amount of new income [output] is less than before.

Related Questions

Assume the following values of an economy.

Planned Investment (Ip) = $20

Autonomous Consumption (C ) = $30

Marginal Propensity to consume (MPC) = .9

What is the equilibrium income?

Y* = aggregate demand at the equilibrium level. (Consumption + investment)

Consumption function = autonomous consumption + mpc * Y.

C=30 + .9Y

AD = 30 + .9Y + 20 = 50 + .9Y

Y= 50 + .9Y.1Y = 50

Y = $500 is the equilibrium level of income.

What is the value of saving at equilibrium?

Savings = income - consumption at the equilibrium level of Y=500,

Consumption = 30 +.9 * 500 = $480

Savings = 500 - 480= 20

c. Does the saving and Investment Identity hold true at equilibrium income OR GDP?

Since planned investment = $20 which is equal to savings calculated, the saving investment identity holds true at equilibrium income.

2. In addition to the values given in question (1) above, assume the government increases its spending by $30 without raising taxes. The government can do this by borrowing from the private sector.

a. Based on this information calculate the new level of equilibrium income.

If Government expenditures = $30, Y = C + I + G

Y = 1/1-.09 * (30+20+30) Y = 800

b. Calculate the total value of consumption at equilibrium.

C = 30 + .9(800) = 750

c. Calculate the total value of saving at equilibrium.

Savings = I - C = 800 - 750 = 50

3. In addition to questions in (1 & 2) above, assume the government decides to raise autonomous taxes by $30 to balance its budget.

What is the new value of equilibrium income?

Y = 1/1-.9 (30-.9(30) +20+30) = 530

What is the value of the autonomous tax multiplier?

-.09/.01 = -9

c. What is the value of autonomous spending multiplier?

1/.1 = 10

ochrewildebeest111

The following is a model of a closed economy with nogovernment.
C = 44 + 0.6YD I = 12

where C = desired consumption expenditure (in billions of $), YD =disposable
income (in billions of $), and I = desired investment expenditure(in billions
of $).

a) What is autonomous C equal to?
b) What is induced C equal to if national income (Y) is 120?
c) What would happen to C if Y increased by 10?
d) What is the saving function equal to?
e) How can private saving (S) be negative? Explain.
f) What would happen to S if Y increased by 10?
g) At what level of Y is the average propensity to consume (APC)equal to 1?
h) How does the APC change as Y increases?
i) How does the average propensity to save (APS) change as Yincreases?
j) What is aggregate expenditure function equal to?
k) Is the economy in equilibrium when Y is 150? If no, then by howmuch are
the economyâs inventories changing?
l) What are the equilibrium levels of Y, C, S, and YD?
m) At equilibrium, what do the injections and the withdrawals inthis
economy equal?
n) Give two reasons why investment would change from I = 12 to I =18.
o) What are the new equilibrium levels of Y, C, S, and YD ifinvestment
changed from I = 12 to I = 18?
p) What is the size of the (simple) multiplier?
q) What is the change in Y in the 3rd round of the multipliereffect as a
result of the change in investment in part n?

harlequinseal728

The Modified Keynesian Model

Y = C + I + G + X â IM â¦ equilibrium condition in a 4-sector model where:

C = 150 + 0.9DI â¦ consumption function

I = 50 â¦ autonomous investment

G = 100 â¦ autonomous government spending

X = 200 â¦ autonomous exports

IM = 100 â¦ autonomous imports

And also:

DI = Y â T + Tr T = 0 â¦ autonomous taxes

Tr = 0 â¦ autonomous transfer payments

YF = 5000 â¦ full-employment Y

1. Solve for the equilibrium level of real output/income (Y*) in this economy.

2. Given the model above, net exports equal $________. Does this represent a trade deficit or trade surplus?

3. Given the model above, the federal budget has a (deficit/surplus) equal to $________.

4. What is the value of the MPC? â¦ the value of the MPS?

5. Calculate the âoversimplifiedâ expenditure multiplier.

6. Suppose that full-employment (YF) equals $5000. Is there a recessionary or inflationary output gap?

7. (Refer to question â6â.) How much is the gap equal to?

8. Suppose the government chooses to eliminate the gap by using expansionary fiscal policy (i.e., increasing G). Given the numbers above, by how much would government spending (G) need to increase to achieve the goal of full-employment?

9. Suppose instead that the government decided to lower taxes to eliminate the output gap in question â6â. How much would taxes need to fall to achieve the goal of full-employment?

10. Which action (raising G or lowering T) has the largest effect on the federal budget deficit and the national debt?

11. Suppose the national debt equaled $6000 before the tax cut (refer to question â9â). What would be the value of the national debt after this policy action?

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ECO100Y1 Lecture Notes - Lecture 15: Parsec, Tax Rate

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