Equilibrium Output Equation using the Multiplier (k)
The equilibrium output equation, , expresses the relationship where equilibrium output (Y) is the product of total autonomous demand and the multiplier factor . In the simplified model with only consumption and investment, the multiplier is defined as . While the specific formula for varies in more complex models, it consistently represents the factor by which output changes in response to a change in autonomous demand.
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Ch.3 Aggregate demand and the multiplier model - The Economy 2.0 Macroeconomics @ CORE Econ
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Example Calculation of Equilibrium Output
Equilibrium Output Equation using the Multiplier (k)
In a simplified economic model, the equilibrium level of output (Y) is determined by the equation Y = [1 / (1 - c₁)] * (c₀ + I), where c₀ is autonomous consumption, I is autonomous investment, and c₁ is the marginal propensity to consume (0 < c₁ < 1). If autonomous investment (I) increases by $100 million, how will this affect the equilibrium output (Y)?
Analysis of Economic Multipliers
Analyzing the Multiplier Effect in the Equilibrium Formula
In a simplified economic model where total output is determined by the equation
Y = [1 / (1 - c₁)] * (c₀ + I), match each mathematical component of the formula to its corresponding economic interpretation.In an economic model where equilibrium output (Y) is determined by the formula Y = [1 / (1 - c₁)] * (c₀ + I), a higher value for the marginal propensity to consume (c₁) will lead to a lower equilibrium level of output (Y), assuming all other factors (c₀ and I) remain constant and 0 < c₁ < 1.
In a closed economy with no government sector, autonomous consumption (
c₀) is $200 billion, autonomous investment (I) is $300 billion, and the marginal propensity to consume (c₁) is 0.8. Based on the standard equilibrium model, the equilibrium level of output (Y) is $____ billion.Critiquing Policy Advice Based on the Equilibrium Model
An economy is in a state of equilibrium. A firm then decides to increase its autonomous investment spending by $50 million. Arrange the following events to describe the sequence through which the economy adjusts to a new, higher level of equilibrium output.
Policy Target Feasibility Analysis
Determining Required Investment for an Output Target
Learn After
Multiplier Effect of Autonomous Demand on Equilibrium Output
Example Calculation of the Multiplier (k)
Derivation of the Change in Output from an Investment Shock
In a simplified economic model, the equilibrium output (Y) is determined by the equation Y = k(c₀ + I), where 'k' is a multiplier with a value greater than 1, 'c₀' represents spending that does not depend on income, and 'I' represents investment spending. If businesses suddenly become more pessimistic about the future and reduce their investment spending (I), while 'k' and 'c₀' remain unchanged, what will be the resulting effect on the equilibrium output (Y)?
Calculating Equilibrium Output
Deconstructing the Equilibrium Output Equation
In the macroeconomic model where equilibrium output is represented by the equation
Y = k(c₀ + I), match each component of the equation to its correct economic description.