Mean Absolute Deviation for Linear Loss scenarios.

 

Syntax

meanabs_dev(matrix)

short call

meanabs_dev_name(matrix)

call with optional name

 

Parameters

matrix        is a Matrix of Scenarios:

       

where the header row contains names of variables (except scenario_probability, and scenario_benchmark). Other rows contain numerical data. The scenario_probability, and scenario_benchmark columns are optional.

 

Mathematical Definition

Mean Absolute Deviation function is calculated as follows

,

where:

is Mean Absolute Penalty function

,

is Loss Function (See section Loss and Gain Functions)

is an argument of Mean Absolute Deviation function.

 

Example

Calculation in Run-File Environment
Calculation in MATLAB Environment

 

Case Studies with Mean Absolute Deviation

Mortgage Pipeline Hedging
Optimal Hedging of CDO Book

 

See also

Mean Absolute Error, Mean Absolute Error Normal Independent, Mean Absolute Error Normal Dependent, Mean Absolute Risk, Mean Absolute Risk for Gain, Mean Absolute Risk Normal Independent, Mean Absolute Risk for Gain Normal Independent, Mean Absolute Risk Normal Dependent, Mean Absolute Risk for Gain Normal Dependent, Mean Absolute Deviation Normal Independent, Mean Absolute Deviation Normal Dependent