Exponential Utility Normal Dependent (exp_eut_nd)

Exponential Utility Normal Dependent. Exponential Utility function for  Linear Loss with mutually dependent normally distributed random coefficients.

 

Syntax

exp_eut_nd(,matrix_mn,matrix_cov)

short call;

exp_eut_nd_name(,matrix_mn,matrix_cov)

call with optional name.

 
Parameters

matrix_mn        is a PSG matrix of mean values:

 

where the header row contains names of variables. The second row contains numerical data.

 

matrix_cov        is a PSG matrix of covariance values:

 

where the header row contains names of variables. Other rows contain numerical data.

 

       is a confidence level.

 

Mathematical Definition

The Exponential Utility Normal Dependent  is calculated as follows:

 

where

,

,

       is a Gain function.

is an argument of function.

 

Example

Calculation in Run-File Environment
Calculation in MATLAB Environment

 

See also

Exponential Utility, Exponential Utility Normal Independent, Logarithmic Utility, Power Utility.