Difference between revisions of "Output Multiplier"

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== Definition ==
 
== 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.
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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 Coefficient 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  ==
 
== Formula  ==

Revision as of 12:41, 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 Coefficient 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 l_{ij}, then the output multiplier is defined as:


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


References