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Re: random financial portfolios

  • To: mathgroup at smc.vnet.net
  • Subject: [mg119789] Re: random financial portfolios
  • From: Dana DeLouis <dana.del at gmail.com>
  • Date: Wed, 22 Jun 2011 03:45:29 -0400 (EDT)

 *weights={w1,w2,w3,w4}*
 where each term is a random numbers representing asset the asset weight
 [assume that these must sum  to 1 - a long only portfolio]

Hi.  Just to mention an alternative to a weight function:

weights = Normalize[RandomReal[1,4],Tr]

{0.214211,0.0813038,0.236346,0.468139}

% //Total
1.

= = = = = = = = = =
HTH  : >)
Dana DeLouis
$Version
8.0 for Mac OS X x86 (64-bit) (November 6, 2010)



On Jun 21, 7:24 am, Priyan Fernando <priyan.ferna... at gmail.com> wrote:
> Hi,
> 
> Wonder if someone can help me pls; I'm new to mathematica. I want to
> generate "random" financial portfolios using the following parameters.
> 
> returns = {0.05, -0.2, 0.15, 0.3}
> covariance = {{0.08, -0.05, -0.05, -0.05}, {-0.05,
>    0.16, -0.02, -0.02}, {-0.05, -0.02, 0.35, 0.06}, {-0.05, -0.02,
>    0.06, 0.35}}
> 
> So we need
> *weights={w1,w2,w3,w4}*
> where each term is a random numbers representing asset the asset weigth
> [assume that these must sum  to 1 - a long only portfolio]
> 
> I want to randomly change the weights and then calculate porfolio return:
> *weights.returns*
> and portfolio variance:
> *weights.covariance.weights*
> 
> Then want to plot the return against risk, for say around 100 simulations.
> 
> Your help is much appreciated.
> 
> Thanks!




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