Difference between revisions of "Output Multiplier"

From Open Risk Manual
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== Formula  ==
 
== Formula  ==
If we represent the elements of the [Leontief Inverse Matrix]] <math>(I-A)^{-1}</math< as <math>{l_{ij}</math>, then the output multiplier is defined as:
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If we represent the elements of the [Leontief Inverse Matrix]] <math>(I-A)^{-1}</math> as <math>{l_{ij}</math>, then the output multiplier is defined as:
  
 
:<math>
 
:<math>

Revision as of 12:33, 7 March 2022

Definition

An Output-to-Output Multiplier indicates how total production will change as final demand is changed in any one sector of the economy. The output multiplier for sector j is the sum of column j of the Technical Coefficients Matrix. This output multiplier measures the amount of output generated by a $1 change in final demand for the output of the jth sector.

Formula

If we represent the elements of the [Leontief Inverse Matrix]] (I-A)^{-1} as Failed to parse (syntax error): {l_{ij} , then the output multiplier is defined as:


O_{j} = \sum_{i} l_{ij}


References